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Synthesis
synth_id_list = file_id_list[-dur_test_file_number:] input_lab_file_list = orig_lab_file_list[-dur_test_file_number:] synth_dir = os.path.join(exp_dir, 'synth') if not os.path.exists(synth_dir): os.makedirs(synth_dir) wav_dir = os.path.join(synth_dir, 'wav') if not os.path.exists(wav_dir): os.makedirs(wav_dir) synth_inter_dir = os.path.join(synth_dir, 'inter') if not os.path.exists(synth_inter_dir): os.makedirs(synth_inter_dir) synth_dur_lab_norm_dir = os.path.join(synth_inter_dir, 'dur_lab_norm') if not os.path.exists(synth_dur_lab_norm_dir): os.makedirs(synth_dur_lab_norm_dir) synth_dur_cmp_pred_dir = os.path.join(synth_inter_dir, 'dur_cmp_pred') if not os.path.exists(synth_dur_cmp_pred_dir): os.makedirs(synth_dur_cmp_pred_dir) synth_dur_lab_file_list = gen_file_list(dur_lab_dir, synth_id_list, 'labbin') synth_dur_lab_norm_file_list = gen_file_list(synth_dur_lab_norm_dir, synth_id_list, 'labbin') synth_dur_cmp_pred_file_list = gen_file_list(synth_dur_cmp_pred_dir, synth_id_list, 'cmp') orig_lab_file_list = get_file_list_of_dir(lab_dir) file_id_list = get_file_id_list(orig_lab_file_list) dur_lab_file_list = gen_file_list(dur_lab_dir, file_id_list, 'labbin') dur_lab_no_silence_file_list = gen_file_list(dur_lab_no_silence_dir, file_id_list, 'labbin') dur_lab_no_silence_norm_file_list = gen_file_list(dur_lab_no_silence_norm_dir, file_id_list, 'labbin') dur_dur_file_list = gen_file_list(dur_dur_dir, file_id_list, 'dur') dur_cmp_file_list = gen_file_list(dur_cmp_dir, file_id_list, 'cmp') dur_cmp_no_silence_file_list = gen_file_list(dur_cmp_no_silence_dir, file_id_list, 'cmp') dur_cmp_no_silence_norm_file_list = gen_file_list(dur_cmp_no_silence_norm_dir, file_id_list, 'cmp') synth_acou_lab_norm_dir = os.path.join(synth_inter_dir, 'acou_lab_norm') if not os.path.exists(synth_acou_lab_norm_dir): os.makedirs(synth_acou_lab_norm_dir) synth_acou_cmp_pred_dir = os.path.join(synth_inter_dir, 'acou_cmp_pred') if not os.path.exists(synth_acou_cmp_pred_dir): os.makedirs(synth_acou_cmp_pred_dir) synth_acou_lab_file_list = gen_file_list(synth_acou_lab_norm_dir, synth_id_list, 'labbin') synth_acou_lab_norm_file_list = gen_file_list(synth_acou_lab_norm_dir, synth_id_list, 'labbin') synth_acou_cmp_pred_file_list = gen_file_list(synth_acou_cmp_pred_dir, synth_id_list, 'cmp')
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Apache-2.0
egs/singing_synthesis/s3/run.ipynb
YongliangHe/SingingVoiceSynthesis
Normalize label files for duration model (silence not removed)
synth_dur_lab_normaliser = MinMaxNormalisation(feature_dimension = dur_lab_dim, min_value = 0.01, max_value = 0.99) synth_dur_lab_normaliser.load_min_max_values(dur_lab_norm_file) synth_dur_lab_normaliser.normalise_data(synth_dur_lab_file_list, synth_dur_lab_norm_file_list) tmp1, num1 = io_funcs.load_binary_file_frame(synth_dur_lab_norm_file_list[0], 368) tmp2, num2 = io_funcs.load_binary_file_frame(synth_dur_lab_file_list[0], 368) print(synth_dur_lab_norm_file_list[0]) print('num1: ', str(num1)) print('num2: ', str(num2)) # print(tmp1[0: 10, :]) # print(synth_dur_lab_norm_file_list[0])
/home/yongliang/third_party/merlin/egs/singing_synthesis/s3/exp/synth/inter/dur_lab_norm/nitech_jp_song070_f001_070.labbin num1: 55 num2: 55
Apache-2.0
egs/singing_synthesis/s3/run.ipynb
YongliangHe/SingingVoiceSynthesis
Predict durations
synth_duration_model = DurationModel(dur_lab_dim, dur_cmp_dim) synth_duration_model.load_state_dict(torch.load(dur_nn_mdl_file)) synth_duration_model.eval() lab, num_frame = io_funcs.load_binary_file_frame(synth_dur_lab_norm_file_list[0], 368) lab = torch.from_numpy(lab) lab = lab[None, :, :] dur_cmp_pred = synth_duration_model(lab) dur_cmp_pred = dur_cmp_pred.detach().numpy()[0] dur_cmp_pred
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Apache-2.0
egs/singing_synthesis/s3/run.ipynb
YongliangHe/SingingVoiceSynthesis
Denormalization
fid = open(dur_cmp_norm_file, 'rb') dur_cmp_norm_info = np.fromfile(fid, dtype=np.float32) fid.close() dur_cmp_norm_info = dur_cmp_norm_info.reshape(2, -1) dur_cmp_mean = dur_cmp_norm_info[0, ] dur_cmp_std = dur_cmp_norm_info[1, ] print(synth_dur_cmp_pred_file_list[0]) io_funcs.array_to_binary_file(dur_cmp_pred, synth_dur_cmp_pred_file_list[0]) print(dur_cmp_mean) print(dur_cmp_std) synth_dur_denormaliser = MeanVarianceNorm(feature_dimension=dur_cmp_dim) synth_dur_denormaliser.feature_denormalisation(synth_dur_cmp_pred_file_list, synth_dur_cmp_pred_file_list, dur_cmp_mean, dur_cmp_std) dur_cmp_pred, _ = io_funcs.load_binary_file_frame(synth_dur_cmp_pred_file_list[0], 5) print(dur_cmp_pred[:10, :])
[[ 5.551061 15.752278 14.200991 10.206416 5.2901797] [ 5.5533843 15.87799 14.0966015 10.179635 5.295764 ] [ 5.550715 15.884184 14.2144 10.24537 5.2878685] [ 5.5525837 15.890511 14.132585 10.232053 5.256593 ] [ 5.543806 15.852673 14.130717 10.249583 5.27523 ] [ 5.546036 15.958624 14.043604 10.331711 5.2914195] [ 5.55692 16.027588 14.147421 10.241272 5.3083267] [ 5.5535684 15.856915 14.245941 10.315426 5.292195 ] [ 5.5677176 15.877155 14.226478 10.230915 5.242901 ] [ 5.556892 15.876377 14.209519 10.219336 5.262225 ]]
Apache-2.0
egs/singing_synthesis/s3/run.ipynb
YongliangHe/SingingVoiceSynthesis
Change original label files with newly predicted durations
from frontend.parameter_generation import ParameterGeneration from frontend.label_modifier import HTSLabelModification synth_dur_extention_dict = {'dur': '.dur'} synth_dur_out_dimension_dict = {'dur': 5} synth_dur_cmp_dim = 5 synth_dur_list = [os.path.splitext(synth_dur_cmp_pred_file_list[0])[0] + synth_dur_extention_dict['dur']] synth_lab_list = [os.path.splitext(synth_dur_cmp_pred_file_list[0])[0] + '.lab'] print(synth_dur_list) print(synth_lab_list) synth_decomposer = ParameterGeneration(['mgc', 'bap', 'lf0']) synth_decomposer.duration_decomposition(synth_dur_cmp_pred_file_list, synth_dur_cmp_dim, synth_dur_out_dimension_dict, synth_dur_extention_dict) synth_label_modifier = HTSLabelModification(silence_pattern = silence_pattern) synth_label_modifier.modify_duration_labels(input_lab_file_list, synth_dur_list, synth_lab_list)
['/home/yongliang/third_party/merlin/egs/singing_synthesis/s3/exp/synth/inter/dur_cmp_pred/nitech_jp_song070_f001_070.dur'] ['/home/yongliang/third_party/merlin/egs/singing_synthesis/s3/exp/synth/inter/dur_cmp_pred/nitech_jp_song070_f001_070.lab']
Apache-2.0
egs/singing_synthesis/s3/run.ipynb
YongliangHe/SingingVoiceSynthesis
Normalize label files for acoustic model (silence not removed)
synth_acou_lab_normaliser = HTSLabelNormalisation(question, add_frame_features=True, subphone_feats='full') synth_acou_lab_normaliser.perform_normalisation(synth_lab_list, synth_acou_lab_file_list) synth_acou_lab_normaliser = MinMaxNormalisation(feature_dimension = acou_lab_dim, min_value = 0.01, max_value = 0.99) synth_acou_lab_normaliser.load_min_max_values(acou_lab_norm_file) synth_acou_lab_normaliser.normalise_data(synth_acou_lab_file_list, synth_acou_lab_norm_file_list)
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Apache-2.0
egs/singing_synthesis/s3/run.ipynb
YongliangHe/SingingVoiceSynthesis
Predict acoustic features
synth_acoustic_model = DurationModel(acou_lab_dim, acou_cmp_dim) synth_acoustic_model.load_state_dict(torch.load(acou_nn_mdl_file)) synth_acoustic_model.eval() lab, num_frame = io_funcs.load_binary_file_frame(synth_acou_lab_norm_file_list[0], 377) lab = torch.from_numpy(lab) lab = lab[None, :, :] acou_cmp_pred = synth_acoustic_model(lab) acou_cmp_pred = acou_cmp_pred.detach().numpy()[0] acou_cmp_pred.shape
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Apache-2.0
egs/singing_synthesis/s3/run.ipynb
YongliangHe/SingingVoiceSynthesis
Denormalization
fid = open(acou_cmp_norm_file, 'rb') acou_cmp_norm_info = np.fromfile(fid, dtype=np.float32) fid.close() acou_cmp_norm_info = acou_cmp_norm_info.reshape(2, -1) acou_cmp_mean = acou_cmp_norm_info[0, ] acou_cmp_std = acou_cmp_norm_info[1, ] print(synth_acou_cmp_pred_file_list[0]) io_funcs.array_to_binary_file(acou_cmp_pred, synth_acou_cmp_pred_file_list[0]) print(acou_cmp_mean) print(acou_cmp_std) synth_acou_denormaliser = MeanVarianceNorm(feature_dimension=acou_cmp_dim) synth_acou_denormaliser.feature_denormalisation(synth_acou_cmp_pred_file_list, synth_acou_cmp_pred_file_list, acou_cmp_mean, acou_cmp_std) dur_cmp_pred, _ = io_funcs.load_binary_file_frame(synth_acou_cmp_pred_file_list[0], 187) print(dur_cmp_pred[:10, :10]) synth_acou_extention_dict = {'lf0': '.lf0', 'mgc': '.mgc', 'bap': '.bap'} synth_acou_out_dimension_dict = {'lf0': 3, 'mgc': 180, 'bap': 3, 'vuv': 1} synth_acou_cmp_dim = 187 # synth_dur_list = [os.path.splitext(synth_dur_cmp_pred_file_list[0])[0] + synth_dur_extention_dict['dur']] # synth_lab_list = [os.path.splitext(synth_dur_cmp_pred_file_list[0])[0] + '.lab'] # print(synth_dur_list) # print(synth_lab_list) synth_decomposer = ParameterGeneration(['mgc', 'bap', 'lf0']) synth_decomposer.acoustic_decomposition(synth_acou_cmp_pred_file_list, synth_acou_cmp_dim, synth_acou_out_dimension_dict, synth_acou_extention_dict, acou_variance_file_dict,True) ## copy features to wav for file in synth_acou_cmp_pred_file_list: base = os.path.splitext(file)[0] for ext in (['.mgc', '.bap', '.lf0']): feat_file = base + ext copy(feat_file, wav_dir)
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Apache-2.0
egs/singing_synthesis/s3/run.ipynb
YongliangHe/SingingVoiceSynthesis
Synthesize wav
def run_process(args,log=True): logger = logging.getLogger("subprocess") # a convenience function instead of calling subprocess directly # this is so that we can do some logging and catch exceptions # we don't always want debug logging, even when logging level is DEBUG # especially if calling a lot of external functions # so we can disable it by force, where necessary if log: logger.debug('%s' % args) try: # the following is only available in later versions of Python # rval = subprocess.check_output(args) # bufsize=-1 enables buffering and may improve performance compared to the unbuffered case p = subprocess.Popen(args, bufsize=-1, shell=True, stdin=subprocess.PIPE, stdout=subprocess.PIPE, stderr=subprocess.PIPE, close_fds=True, env=os.environ) # better to use communicate() than read() and write() - this avoids deadlocks (stdoutdata, stderrdata) = p.communicate() if p.returncode != 0: # for critical things, we always log, even if log==False logger.critical('exit status %d' % p.returncode ) logger.critical(' for command: %s' % args ) logger.critical(' stderr: %s' % stderrdata ) logger.critical(' stdout: %s' % stdoutdata ) raise OSError return (stdoutdata, stderrdata) except subprocess.CalledProcessError as e: # not sure under what circumstances this exception would be raised in Python 2.6 logger.critical('exit status %d' % e.returncode ) logger.critical(' for command: %s' % args ) # not sure if there is an 'output' attribute under 2.6 ? still need to test this... logger.critical(' output: %s' % e.output ) raise except ValueError: logger.critical('ValueError for %s' % args ) raise except OSError: logger.critical('OSError for %s' % args ) raise except KeyboardInterrupt: logger.critical('KeyboardInterrupt during %s' % args ) try: # try to kill the subprocess, if it exists p.kill() except UnboundLocalError: # this means that p was undefined at the moment of the keyboard interrupt # (and we do nothing) pass raise KeyboardInterrupt import pickle with open('/home/yongliang/third_party/merlin/egs/singing_synthesis/s3/exp/synth/test/cfg.pkl', 'rb') as f: cfg = pickle.load(f) def wavgen_straight_type_vocoder(gen_dir, file_id_list, logger): ''' Waveform generation with STRAIGHT or WORLD vocoders. (whose acoustic parameters are: mgc, bap, and lf0) ''' pf_coef = 1.4 fw_coef = 0.58 co_coef = 511 fl_coef = 1024 mgc_dim = 60 fw_alpha = 0.58 sr = 16000 fl = 1024 counter=1 max_counter = len(file_id_list) for filename in file_id_list: logger.info('creating waveform for %4d of %4d: %s' % (counter,max_counter,filename) ) counter=counter+1 base = filename files = {'sp' : base + '.sp', 'mgc' : base + '.mgc', 'f0' : base + '.f0', 'lf0' : base + '.lf0', 'ap' : base + '.ap', 'bap' : base + '.bap', 'wav' : base + '.wav'} mgc_file_name = files['mgc'] bap_file_name = files['bap'] cur_dir = os.getcwd() os.chdir(gen_dir) mgc_file_name = files['mgc']+'_p_mgc' post_filter(files['mgc'], mgc_file_name, mgc_dim, pf_coef, fw_coef, co_coef, fl_coef, gen_dir, SPTK) run_process('{sopr} -magic -1.0E+10 -EXP -MAGIC 0.0 {lf0} | {x2x} +fd > {f0}'.format(sopr=SPTK['SOPR'], lf0=files['lf0'], x2x=SPTK['X2X'], f0=files['f0'])) run_process('{sopr} -c 0 {bap} | {x2x} +fd > {ap}'.format(sopr=SPTK['SOPR'],bap=files['bap'],x2x=SPTK['X2X'],ap=files['ap'])) run_process('{mgc2sp} -a {alpha} -g 0 -m {order} -l {fl} -o 2 {mgc} | {sopr} -d 32768.0 -P | {x2x} +fd > {sp}' .format(mgc2sp=SPTK['MGC2SP'], alpha=fw_alpha, order=mgc_dim-1, fl=fl, mgc=mgc_file_name, sopr=SPTK['SOPR'], x2x=SPTK['X2X'], sp=files['sp'])) run_process('{synworld} {fl} {sr} {f0} {sp} {ap} {wav}' .format(synworld=WORLD['SYNTHESIS'], fl=fl, sr=sr, f0=files['f0'], sp=files['sp'], ap=files['ap'], wav=files['wav'])) # run_process('rm -f {ap} {sp} {f0}'.format(ap=files['ap'],sp=files['sp'],f0=files['f0'])) os.chdir(cur_dir) def post_filter(mgc_file_in, mgc_file_out, mgc_dim, pf_coef, fw_coef, co_coef, fl_coef, gen_dir, SPTK): line = "echo 1 1 " for i in range(2, mgc_dim): line = line + str(pf_coef) + " " run_process('{line} | {x2x} +af > {weight}' .format(line=line, x2x=SPTK['X2X'], weight=os.path.join(gen_dir, 'weight'))) run_process('{freqt} -m {order} -a {fw} -M {co} -A 0 < {mgc} | {c2acr} -m {co} -M 0 -l {fl} > {base_r0}' .format(freqt=SPTK['FREQT'], order=mgc_dim-1, fw=fw_coef, co=co_coef, mgc=mgc_file_in, c2acr=SPTK['C2ACR'], fl=fl_coef, base_r0=mgc_file_in+'_r0')) run_process('{vopr} -m -n {order} < {mgc} {weight} | {freqt} -m {order} -a {fw} -M {co} -A 0 | {c2acr} -m {co} -M 0 -l {fl} > {base_p_r0}' .format(vopr=SPTK['VOPR'], order=mgc_dim-1, mgc=mgc_file_in, weight=os.path.join(gen_dir, 'weight'), freqt=SPTK['FREQT'], fw=fw_coef, co=co_coef, c2acr=SPTK['C2ACR'], fl=fl_coef, base_p_r0=mgc_file_in+'_p_r0')) run_process('{vopr} -m -n {order} < {mgc} {weight} | {mc2b} -m {order} -a {fw} | {bcp} -n {order} -s 0 -e 0 > {base_b0}' .format(vopr=SPTK['VOPR'], order=mgc_dim-1, mgc=mgc_file_in, weight=os.path.join(gen_dir, 'weight'), mc2b=SPTK['MC2B'], fw=fw_coef, bcp=SPTK['BCP'], base_b0=mgc_file_in+'_b0')) run_process('{vopr} -d < {base_r0} {base_p_r0} | {sopr} -LN -d 2 | {vopr} -a {base_b0} > {base_p_b0}' .format(vopr=SPTK['VOPR'], base_r0=mgc_file_in+'_r0', base_p_r0=mgc_file_in+'_p_r0', sopr=SPTK['SOPR'], base_b0=mgc_file_in+'_b0', base_p_b0=mgc_file_in+'_p_b0')) run_process('{vopr} -m -n {order} < {mgc} {weight} | {mc2b} -m {order} -a {fw} | {bcp} -n {order} -s 1 -e {order} | {merge} -n {order2} -s 0 -N 0 {base_p_b0} | {b2mc} -m {order} -a {fw} > {base_p_mgc}' .format(vopr=SPTK['VOPR'], order=mgc_dim-1, mgc=mgc_file_in, weight=os.path.join(gen_dir, 'weight'), mc2b=SPTK['MC2B'], fw=fw_coef, bcp=SPTK['BCP'], merge=SPTK['MERGE'], order2=mgc_dim-2, base_p_b0=mgc_file_in+'_p_b0', b2mc=SPTK['B2MC'], base_p_mgc=mgc_file_out)) return ## copy features to wav for file in synth_acou_cmp_pred_file_list: base = os.path.splitext(file)[0] for ext in (['.mgc', '.bap', '.lf0']): feat_file = base + ext copy(feat_file, wav_dir) logger = logging.getLogger("wav_generation") wavgen_straight_type_vocoder(wav_dir, synth_id_list, logger) print(wav_dir) print(synth_id_list)
/home/yongliang/third_party/merlin/egs/singing_synthesis/s3/exp/synth/wav ['nitech_jp_song070_f001_070']
Apache-2.0
egs/singing_synthesis/s3/run.ipynb
YongliangHe/SingingVoiceSynthesis
TEST
my_cmp_norm_info_file = '/home/yongliang/third_party/merlin/egs/singing_synthesis/s3/exp/acoustic_model/inter/cmp_norm_187.dat' ml_cmp_norm_info_file = '/home/yongliang/third_party/merlin/egs/singing_synthesis/s1/experiments/acoustic_model/inter_module/norm_info__mgc_lf0_vuv_bap_187_MVN.dat' fid = open(my_cmp_norm_info_file, 'rb') my_cmp_norm_info = np.fromfile(fid, dtype=np.float32) fid.close() my_cmp_norm_info = my_cmp_norm_info.reshape(2, -1) my_cmp_mean = my_cmp_norm_info[0, ] my_cmp_std = my_cmp_norm_info[1, ] fid = open(ml_cmp_norm_info_file, 'rb') ml_cmp_norm_info = np.fromfile(fid, dtype=np.float32) fid.close() ml_cmp_norm_info = ml_cmp_norm_info.reshape(2, -1) ml_cmp_mean = ml_cmp_norm_info[0, ] ml_cmp_std = ml_cmp_norm_info[1, ] print(my_cmp_mean.all() == ml_cmp_mean.all()) print(my_cmp_std.all() == ml_cmp_std.all()) my_cmp_no_silence_norm_file = acou_cmp_no_silence_norm_file_list[0] ml_cmp_no_silence_norm_file = '/home/yongliang/third_party/merlin/egs/singing_synthesis/s1/experiments/acoustic_model/inter_module/nn_norm_mgc_lf0_vuv_bap_187/nitech_jp_song070_f001_003.cmp' my_cmp_no_silence_norm, my_n_frame = io_funcs.load_binary_file_frame(my_cmp_no_silence_norm_file, 187) ml_cmp_no_silence_norm, ml_n_frame = io_funcs.load_binary_file_frame(ml_cmp_no_silence_norm_file, 187) print(my_n_frame == ml_n_frame) print(my_cmp_no_silence_norm.all() == ml_cmp_no_silence_norm.all()) my_lab_no_silence_norm_file = acou_lab_no_silence_norm_file_list[0] ml_lab_no_silence_norm_file = '/home/yongliang/third_party/merlin/egs/singing_synthesis/s1/experiments/acoustic_model/inter_module/nn_no_silence_lab_norm_377/nitech_jp_song070_f001_003.lab' my_lab_no_silence_norm, my_n_frame = io_funcs.load_binary_file_frame(my_lab_no_silence_norm_file, 377) ml_lab_no_silence_norm, ml_n_frame = io_funcs.load_binary_file_frame(ml_lab_no_silence_norm_file, 377) print(my_n_frame == ml_n_frame) print(my_lab_no_silence_norm.all() == ml_lab_no_silence_norm.all()) test_cmp_no_silence_norm_file = '/home/yongliang/third_party/merlin/egs/singing_synthesis/s3/exp/acoustic_model/inter/cmp_no_silence_norm_187/nitech_jp_song070_f001_003.cmp' test_cmp_file_list = [test_cmp_no_silence_norm_file] test_cmp_no_silence_pred_file = '/home/yongliang/third_party/merlin/egs/singing_synthesis/s3/exp/synth/test/nitech_jp_song070_f001_003.cmp' test_denorm_file_list = [test_cmp_no_silence_pred_file] synth_acou_denormaliser = MeanVarianceNorm(feature_dimension=acou_cmp_dim) synth_acou_denormaliser.feature_denormalisation(test_cmp_file_list, test_denorm_file_list, acou_cmp_mean, acou_cmp_std) synth_decomposer.acoustic_decomposition(test_denorm_file_list, synth_acou_cmp_dim, synth_acou_out_dimension_dict, synth_acou_extention_dict, acou_variance_file_dict,True) wavgen_straight_type_vocoder('/home/yongliang/third_party/merlin/egs/singing_synthesis/s3/exp/synth/test/', ['nitech_jp_song070_f001_003'], logger) f0_file = os.path.join(wav_dir, 'nitech_jp_song070_f001_070.f0') mgc_file = '/home/yongliang/third_party/merlin/egs/singing_synthesis/s3/exp/synth/inter/acou_cmp_pred/nitech_jp_song070_f001_070.mgc' f0, n_frame = io_funcs.load_binary_file_frame(f0_file, 1) mgc, n_frame2 = io_funcs.load_binary_file_frame(mgc_file, 60) print(n_frame) print(n_frame2)
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Apache-2.0
egs/singing_synthesis/s3/run.ipynb
YongliangHe/SingingVoiceSynthesis
Regiment Introduction:Special thanks to: http://chrisalbon.com/ for sharing the dataset and materials. Step 1. Import the necessary libraries
import pandas as pd
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BSD-3-Clause
03_Grouping/Regiment/Exercises_solutions.ipynb
fung991159/pandas_exercise
Step 2. Create the DataFrame with the following values:
raw_data = {'regiment': ['Nighthawks', 'Nighthawks', 'Nighthawks', 'Nighthawks', 'Dragoons', 'Dragoons', 'Dragoons', 'Dragoons', 'Scouts', 'Scouts', 'Scouts', 'Scouts'], 'company': ['1st', '1st', '2nd', '2nd', '1st', '1st', '2nd', '2nd','1st', '1st', '2nd', '2nd'], 'name': ['Miller', 'Jacobson', 'Ali', 'Milner', 'Cooze', 'Jacon', 'Ryaner', 'Sone', 'Sloan', 'Piger', 'Riani', 'Ali'], 'preTestScore': [4, 24, 31, 2, 3, 4, 24, 31, 2, 3, 2, 3], 'postTestScore': [25, 94, 57, 62, 70, 25, 94, 57, 62, 70, 62, 70]}
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BSD-3-Clause
03_Grouping/Regiment/Exercises_solutions.ipynb
fung991159/pandas_exercise
Step 3. Assign it to a variable called regiment. Don't forget to name each column
regiment = pd.DataFrame(raw_data, columns = raw_data.keys()) regiment
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BSD-3-Clause
03_Grouping/Regiment/Exercises_solutions.ipynb
fung991159/pandas_exercise
Step 4. What is the mean preTestScore from the regiment Nighthawks?
regiment[regiment['regiment'] == 'Nighthawks'].groupby('regiment').mean()
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BSD-3-Clause
03_Grouping/Regiment/Exercises_solutions.ipynb
fung991159/pandas_exercise
Step 5. Present general statistics by company
regiment.groupby('company').describe()
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BSD-3-Clause
03_Grouping/Regiment/Exercises_solutions.ipynb
fung991159/pandas_exercise
Step 6. What is the mean each company's preTestScore?
regiment.groupby('company').preTestScore.mean()
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BSD-3-Clause
03_Grouping/Regiment/Exercises_solutions.ipynb
fung991159/pandas_exercise
Step 7. Present the mean preTestScores grouped by regiment and company
regiment.groupby(['regiment', 'company']).preTestScore.mean()
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BSD-3-Clause
03_Grouping/Regiment/Exercises_solutions.ipynb
fung991159/pandas_exercise
Step 8. Present the mean preTestScores grouped by regiment and company without heirarchical indexing
regiment.groupby(['regiment', 'company']).preTestScore.mean().unstack()
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BSD-3-Clause
03_Grouping/Regiment/Exercises_solutions.ipynb
fung991159/pandas_exercise
Step 9. Group the entire dataframe by regiment and company
regiment.groupby(['regiment', 'company']).mean()
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BSD-3-Clause
03_Grouping/Regiment/Exercises_solutions.ipynb
fung991159/pandas_exercise
Step 10. What is the number of observations in each regiment and company
regiment.groupby(['company', 'regiment']).size()
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BSD-3-Clause
03_Grouping/Regiment/Exercises_solutions.ipynb
fung991159/pandas_exercise
Step 11. Iterate over a group and print the name and the whole data from the regiment
# Group the dataframe by regiment, and for each regiment, for name, group in regiment.groupby('regiment'): # print the name of the regiment print(name) # print the data of that regiment print(group)
Dragoons regiment company name preTestScore postTestScore 4 Dragoons 1st Cooze 3 70 5 Dragoons 1st Jacon 4 25 6 Dragoons 2nd Ryaner 24 94 7 Dragoons 2nd Sone 31 57 Nighthawks regiment company name preTestScore postTestScore 0 Nighthawks 1st Miller 4 25 1 Nighthawks 1st Jacobson 24 94 2 Nighthawks 2nd Ali 31 57 3 Nighthawks 2nd Milner 2 62 Scouts regiment company name preTestScore postTestScore 8 Scouts 1st Sloan 2 62 9 Scouts 1st Piger 3 70 10 Scouts 2nd Riani 2 62 11 Scouts 2nd Ali 3 70
BSD-3-Clause
03_Grouping/Regiment/Exercises_solutions.ipynb
fung991159/pandas_exercise
Introdução
import os import requests import pandas as pd from paths import *
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MIT
test/1_get_infos.ipynb
gaemapiracicaba/norma_pl_251-21
Função
# Lê o arquivo csv com o nome dos municípios df = pd.read_csv( os.path.join(input_path, 'tab_pl251.csv'), ) # Deleta Coluna df.drop(['municipio_nome'], axis=1, inplace=True) print(list(set(df['unidade']))) df # Lê o arquivo csv com o nome dos municípios df_mun = pd.read_csv( 'https://raw.githubusercontent.com/michelmetran/sp/main/data/tabs/tab_municipio_nome.csv', usecols=['id_municipio', 'municipio_nome'] ) # Merge df = pd.merge( df_mun, df, how='left', left_on='id_municipio', right_on='id_municipio' ) # Results df.head() # Escreve Tabela df.to_csv( os.path.join(tabs_path, 'tab_municipio_pl251.csv'), index=False, )
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MIT
test/1_get_infos.ipynb
gaemapiracicaba/norma_pl_251-21
Tests:(Chapt 11 conditions: seed 42, elu, learning rate = 0.01, he init, RGB normalization, BN, momentum = 0.9, AdamOpt, 5 layers, 100 neurons per layer, 1000 epochs, batch size 20)With Chapt 11 conditions & 2 outputs:49.70%Without BN:49.80%Without BN or RGB normalization:50.00%Without normalization and with Glorot Normal init (instead of He init):50.00%With He init and learning rate = 0.05:50.00%With He init, RGB normalization, and learning rate = 0.05:54.40%With BN again:50.00%Without BN and with 1140 outputs:50.20%Same as Chapt 11 with GradientDescent instead of AdamOpt and without BN:58.50%With learning rate = 0.05:59.20%Same as Chapt 11 with GradientDescent and momentum = 0.8:58.90%With batch size 5:64.20%Chapt 11 + GD + batch size 5 + 3 layers instead of 5:66.20%
with tf.Session() as sess: saver.restore(sess, "./mini_project_final.ckpt") # or better, use save_path X_new_scaled = X_test[:20] Z = logits.eval(feed_dict={X: X_new_scaled}) y_pred = np.argmax(Z, axis=1) from tensorflow_graph_in_jupyter import show_graph show_graph(tf.get_default_graph())
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MIT
mini_project.ipynb
prathusb/TensorFlow_NNs
"Working with NumPy"> "Looking at Bangor preciptiation data using only NumPy and matplotlib."- toc: false- badges: true- comments: true- author: Antonio Jurlina- categories: [learning, python]
import pandas as pd import numpy as np import matplotlib.pyplot as plt import os os.chdir('/Users/antoniojurlina/Projects/learning_python/data/') csv = "BangorPrecip.csv" bangorprecip = pd.read_csv(csv, index_col=0) months = bangorprecip.index.to_numpy() years = bangorprecip.columns.to_numpy() bangorprecip = bangorprecip.to_numpy() print(bangorprecip.shape) bangorprecip
(12, 10)
Apache-2.0
_notebooks/2021-02-07-working-with-numpy.ipynb
antoniojurlina/portfolio
**1. What was the total cumulative precipitation over the ten years?**
total_precip = np.sum(bangorprecip) print("Total cumulative precipitation over the ten years was", total_precip, "inches.")
Total cumulative precipitation over the ten years was 425.26 inches.
Apache-2.0
_notebooks/2021-02-07-working-with-numpy.ipynb
antoniojurlina/portfolio
**2. What was the driest year?**
yearly_totals = bangorprecip.sum(0) precip = float(yearly_totals[yearly_totals == yearly_totals.min()]) year = int(years[yearly_totals == yearly_totals.min()]) print("The driest year was", year, "with a total of", precip, "inches of precipitation.")
The driest year was 2016 with a total of 34.35 inches of precipitation.
Apache-2.0
_notebooks/2021-02-07-working-with-numpy.ipynb
antoniojurlina/portfolio
**3. What are the yearly precipitation means?**
averages = bangorprecip.mean(0) %matplotlib inline plt.style.use('ggplot') plt.bar(years, averages) plt.title("Average yearly precipitation") plt.ylabel("Inches") plt.show()
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Apache-2.0
_notebooks/2021-02-07-working-with-numpy.ipynb
antoniojurlina/portfolio
**4. What are the monthly min, mean, and max values over the ten years?**
mins = bangorprecip.min(1) means = bangorprecip.mean(1) maxs = bangorprecip.max(1) %matplotlib inline plt.style.use('ggplot') plt.bar(months, mins, alpha = 0.8) plt.bar(months, means, alpha = 0.6) plt.bar(months, maxs, alpha = 0.4) plt.title("Monthly precipitation") plt.ylabel("Inches") plt.legend(["min", "mean", "max"]) plt.show()
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Apache-2.0
_notebooks/2021-02-07-working-with-numpy.ipynb
antoniojurlina/portfolio
**5. What was the smallest monthly precipitation value and in which month and year did this occur?**
yearly_mins = bangorprecip.min(0) monthly_mins = bangorprecip.min(1) year = int(years[yearly_mins == yearly_mins.min()]) month = int(months[monthly_mins == monthly_mins.min()]) min_precip = bangorprecip.min(1).min() print("The smallest monthly precipitation was ", min_precip, " inches and it occured during ", month,"/",year, ".", sep = "")
The smallest monthly precipitation was 0.58 inches and it occured during 7/2012.
Apache-2.0
_notebooks/2021-02-07-working-with-numpy.ipynb
antoniojurlina/portfolio
**6. How many months had precipitation amounts greater than 5 inches?**
answer = np.sum(bangorprecip > 5) print(answer, "months had precitipation amounts greater than 5 inches.")
26 months had precitipation amounts greater than 5 inches.
Apache-2.0
_notebooks/2021-02-07-working-with-numpy.ipynb
antoniojurlina/portfolio
**7. How many months had precipitation greater than zero and less than 1.5 inches? What were these values and in what months and years did they occur?**
answer = np.logical_and([bangorprecip > 0], [bangorprecip < 1.5]) print(np.sum(answer), "months had precipitation greater than 0 and less than 1.5 inches.") print("") for count,val in enumerate(years): month = months[bangorprecip[:,count] < 1.5] values = bangorprecip[:,2][bangorprecip[:,count] < 1.5] if sum(values) != 0: print("In", years[count], ", month(s)", month, "had rainfalls of", values, ", respectively.");
9 months had precipitation greater than 0 and less than 1.5 inches. In 2012 , month(s) [ 3 7 11] had rainfalls of [1.4 0.58 1.13] , respectively. In 2013 , month(s) [ 1 10] had rainfalls of [1.95 6.96] , respectively. In 2014 , month(s) [9] had rainfalls of [6.33] , respectively. In 2015 , month(s) [3 7] had rainfalls of [1.4 0.58] , respectively. In 2016 , month(s) [9] had rainfalls of [6.33] , respectively.
Apache-2.0
_notebooks/2021-02-07-working-with-numpy.ipynb
antoniojurlina/portfolio
**8. How different were monthly precipitation values in 2019 from 2018?**
nineteen = np.concatenate(bangorprecip[:,years == '2019']) eighteen = np.concatenate(bangorprecip[:,years == '2018']) %matplotlib inline plt.style.use('ggplot') plt.bar(months, nineteen, alpha = 0.7) plt.bar(months, eighteen, alpha = 0.7) plt.title("Monthly precipitation (2018 vs. 2019)") plt.ylabel("Inches") plt.legend(["2019", "2018"]) plt.show()
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Apache-2.0
_notebooks/2021-02-07-working-with-numpy.ipynb
antoniojurlina/portfolio
**9. Create a heatmap of the 12 x 10 array**
%matplotlib inline plt.style.use('ggplot') imgplot = plt.imshow(bangorprecip, extent=[2010,2019,12,1], aspect='auto', cmap='viridis') plt.colorbar();
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Apache-2.0
_notebooks/2021-02-07-working-with-numpy.ipynb
antoniojurlina/portfolio
class Student: def __init__ (self, name,student_number,age, school,course): self.name = name self.student_number= student_number self.age= age self.school= school self.course=course def myself(self): print("My Name is", self.name, self.age, "years old.", "My Student Number is", self.student_number,".") print("I'm taking", self.course, "at", self.school) S = Student("Nicole Shaira A. Tabligan", 202150371,19, "Adamson University", "Bachelor of Science in Computer Engineering") S.myself()
My Name is Nicole Shaira A. Tabligan 19 years old. My Student Number is 202150371 . I'm taking Bachelor of Science in Computer Engineering at Adamson University
Apache-2.0
Prelim_Exam.ipynb
NicoleShairaTabligan/OOP-58002
This notebook begins with an example of using the Diagram Generator to generate diagrams for optical nonlinear spectroscopy using the 2D photon echo as an example. We then move on to the fluorescence-detected analogue of 2D photon echo as a counter-point. Following that are further examples. A list of all examples included in this notebook follows, in order of appearance:1. Tranditional 2D photon echo (2DPE)2. Fluorescence-detected 2DPE (or any action detection method)3. Transient Absoroption (TA)4. 5th-order correction to TA in the pump amplitude5. 5th-order correction to TA in the probe amplitude6. Exciton-exciton interaction 2D spectroscopy7. 2DPE for IR vibrational spectroscopy 1. 2DPE Generic case
# initialize the module tdpe = DG() # DiagramAutomation needs to know the phase-matching/-cycling condition # 2DPE example tdpe.set_phase_discrimination([(0,1),(1,0),(1,0)]) # Set the pulse durations t0 = np.linspace(-1,1,num=11) t1 = np.linspace(-2,2,num=21) t2 = np.linspace(-2,2,num=11) tlo = np.linspace(-3,3,num=31) # set the pulse durations of each pulse # the local oscillator does not impact diagram generation, but is still required at this time tdpe.efield_times = [t0,t1,t2,tlo] # using a list of pulse arrival times, we can generate the diagrams that contribute for # that set of arrival times # note the arrival time of the local oscillator is irrelevant, but needed by the code at this time # here we choose for the local oscillator to "arrive" simulltaneously with the 3rd pulse time_ordered_diagrams = tdpe.get_diagrams([0,100,200,200]) time_ordered_diagrams #display the diagrams for visual inspection (takes a few seconds to render) tdpe.display_diagrams(time_ordered_diagrams) all_diagrams = tdpe.get_diagrams([0,1,2,2]) print('There are ',len(all_diagrams),' diagrams in total') # Check in this folder after running this cell to see 16 individual diagrams saved as pdf files tdpe_diagrams_folder = 'TDPE_all_diagrams' os.makedirs(tdpe_diagrams_folder,exist_ok=True) # rendering and saving the diagrams takes a few seconds tdpe.save_diagrams(all_diagrams,folder_name=tdpe_diagrams_folder)
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MIT
DiagramGeneratorExample.ipynb
gharib85/ufss
To play with different cases where only some of the pulses overlap, uncomment and execute any of the following:
#ab_overlap = tdpe.get_diagrams([0,1,6,6]) #bc_overlap = tdpe.get_diagrams([0,4,6,6]) #ab_bc_overlap = tdpe.get_diagrams([0,3,6,6])
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MIT
DiagramGeneratorExample.ipynb
gharib85/ufss
And uncomment the following for the case you want to see
#tdpe.display_diagrams(ab_overlap) #<--- change the argument of display diagrams to the case you have uncommented and executed
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MIT
DiagramGeneratorExample.ipynb
gharib85/ufss
Time-ordered example for only one electronic excited state If the system under study has only one excited electronic state, then the excited-state absoroption process cannot take place. This is captured by setting the attribute 'maximum_manifold' (default value $\infty$) as follows
tdpe.maximum_manifold = 1 time_ordered_diagrams = tdpe.get_diagrams([0,100,200,200]) tdpe.display_diagrams(time_ordered_diagrams)
_____no_output_____
MIT
DiagramGeneratorExample.ipynb
gharib85/ufss
Note that even for the case of a single electronic excitation, if there is a significant electronic relaxation rate, 'maximum_manifold' should not be set to 1, but left at the default value $\infty$ 2. Action-detected 2DPE
tdfs = DG(detection_type='fluorescence') tdfs.set_phase_discrimination([(0,1),(1,0),(1,0),(0,1)]) t3 = np.linspace(-2.5,2.5,num=25) tdfs.efield_times = [t0,t1,t2,t3] time_ordered_diagrams = tdfs.get_diagrams([0,100,200,300]) tdfs.display_diagrams(time_ordered_diagrams) # and all possibly relevant diagrams can be generated by setting the pulse delays so that all pulses overlap all_diagrams = tdfs.get_diagrams([0,1,2,2]) # Check in this folder to see 16 individual diagrams tdfs_diagrams_folder = 'TDFS_all_diagrams' os.makedirs(tdfs_diagrams_folder,exist_ok=True) tdfs.save_diagrams(all_diagrams,folder_name=tdfs_diagrams_folder)
_____no_output_____
MIT
DiagramGeneratorExample.ipynb
gharib85/ufss
To play with different cases where only some of the pulses overlap, uncomment and execute any of the following:
#ab_overlap = tdfs.get_diagrams([0,1,6,12]) #bc_overlap = tdfs.get_diagrams([0,5,5,12]) #cd_overlap = tdfs.get_diagrams([0,5,10,12]) #ab_bc_overlap = tdfs.get_diagrams([0,3,6,12]) #ab_cd_overlap = tdfs.get_diagrams([0,1,10,12]) # and so on
_____no_output_____
MIT
DiagramGeneratorExample.ipynb
gharib85/ufss
And uncomment the following for the case you want to see
#tdfs.display_diagrams(ab_overlap) #<--- change the argument of display diagrams to the case you have uncommented and executed
_____no_output_____
MIT
DiagramGeneratorExample.ipynb
gharib85/ufss
TA
ta = DG() ta.set_phase_discrimination([(1,1),(1,0)]) pump_interval = t0 probe_interval = t1 ta.efield_times = [t0,t1]
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MIT
DiagramGeneratorExample.ipynb
gharib85/ufss
TA 5th-order corrections Higher order in pump amplitude
ta5order_pump = DG() ta5order_pump.set_phase_discrimination([(2,2),(1,0)]) ta5order_pump.efield_times = [t0,t1] # Time-ordered diagrams ta5order_pump.get_diagrams([0,100,100])
_____no_output_____
MIT
DiagramGeneratorExample.ipynb
gharib85/ufss
Higher order in probe amplitude
ta5order_probe = DG() ta5order_probe.set_phase_discrimination([(1,1),(2,1)]) ta5order_probe.efield_times = [t0,t1] ta5order_probe.get_diagrams([0,100,100])
_____no_output_____
MIT
DiagramGeneratorExample.ipynb
gharib85/ufss
EEI2D
eei2d = DG() eei2d.set_phase_discrimination([(0,2),(2,0),(1,0)]) eei2d.efield_times = [t0,t1,t2,tlo] eei2d.get_diagrams([0,100,200,300])
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MIT
DiagramGeneratorExample.ipynb
gharib85/ufss
2DPE for IR vibrational spectroscopy For IR vibrational spectroscopy, the 'maximum_manifold' should be set to the default of $\infty$. In addition, the 'minimum_manifold' should be set to a negative number. This is because, outside of zero temperature limit, the initial state of the system is a Boltzmann distribution of vibrational occupational states. The $n=1$ vibrational state can be de-excited once, the $n=2$ vibrational state can be de-excited twice, and so on. Depending on the ratio of $k_BT/\hbar\omega$, where $\omega$ is the vibrational frequency, the initial distribution will contain appreciable weight in the first $n$ vibrational ladder states. This information should be used in setting 'minimum_manifold'. Here are two examples
tdpe.maximum_manifold = np.inf tdpe.minimum_manifold = -1 tdpe.display_diagrams(tdpe.get_diagrams([0,100,200,200])) # or tdpe.maximum_manifold = np.inf tdpe.minimum_manifold = -2 tdpe.display_diagrams(tdpe.get_diagrams([0,100,200,200]))
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MIT
DiagramGeneratorExample.ipynb
gharib85/ufss
Supplemental TablesThis Jupyter notebook reproduces a number of Supplemental Tables that are not included in any of the other notebooks.
%reload_ext autoreload %autoreload 2 %matplotlib inline import sys sys.path.append('../src') from io import StringIO import numpy as np import pandas as pd
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MIT
notebooks/A. Supplementary tables.ipynb
jrderuiter/imfusion-analyses
Supplementary Table S2 - ILC insertionsOverview of all insertions identified by IM-Fusion in the ILC dataset.
insertion_column_map = { 'transposon_anchor': 'feature_anchor', 'id': 'insertion_id', 'seqname': 'chromosome', 'orientation': 'gene_orientation' } col_order = ['insertion_id', 'sample', 'chromosome', 'position', 'strand', 'support', 'support_junction', 'support_spanning', 'feature_name','feature_type', 'feature_anchor', 'feature_strand', 'ffpm', 'ffpm_junction', 'ffpm_spanning', 'gene_id', 'gene_name', 'gene_strand', 'gene_orientation', 'novel_transcript'] insertions_sb = ( pd.read_csv('../data/processed/sb/star/insertions.txt', sep='\t') .rename(columns=insertion_column_map)[col_order] .rename(columns=lambda c: c.replace('_', ' ').capitalize())) insertions_sb.to_excel('../reports/supplemental/tables/table_s2_insertions_sb.xlsx', index=False)
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MIT
notebooks/A. Supplementary tables.ipynb
jrderuiter/imfusion-analyses
Supplementary Table S3 - ILC CTGsOverview of the CTGs identified by IM-Fusion in the ILC dataset.
ctgs = pd.read_csv('../data/processed/sb/star/ctgs.txt', sep='\t') ctg_overview = (ctgs .assign(de_direction=lambda df: df['de_direction'].map({-1: 'down', 1: 'up'})) .drop(['de_test', 'gene_id'], axis=1) .rename(columns={ 'gene_name': 'Gene', 'p_value': 'CTG p-value', 'q_value': 'CTG q-value', 'n_samples': 'Num. samples', 'de_pvalue': 'DE p-value', 'de_direction': 'DE direction' })) ctg_overview.head()
_____no_output_____
MIT
notebooks/A. Supplementary tables.ipynb
jrderuiter/imfusion-analyses
Supplementary Table S5 - B-ALL insertionsOverview of all insertions identified by IM-Fusion in the B-ALL dataset.
insertions_sanger = ( pd.read_csv('../data/processed/sanger/star/insertions.txt', sep='\t') .rename(columns=insertion_column_map)[col_order] .rename(columns=lambda c: c.replace('_', ' ').capitalize())) insertions_sanger.to_excel('../reports/supplemental/tables/table_s5_insertions_sanger.xlsx', index=False)
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MIT
notebooks/A. Supplementary tables.ipynb
jrderuiter/imfusion-analyses
![images.png](data:image/png;base64,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) **Matlotlib**: Matplotlib is a comprehensive library for creating static, animated, and interactive visualizations in Python.Website: https://matplotlib.org/GitHub: https://github.com/matplotlib/matplotlib In the previous notebook, we saw some basic examples of plotting and visualization in the context of learning `numpy`. In this notebook, we dive much deeper. The goal is to understand how `matplotlib` represents figures internally.
from matplotlib import pyplot as plt %matplotlib inline
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MIT
Lab_Notebooks/S1_3_Matplotlib.ipynb
tbeucler/2022_ML_Earth_Env_Sci
Figure and Axes The *figure* is the highest level of organization of `matplotlib` objects. If we want, we can create a figure explicitly.
fig = plt.figure() fig = plt.figure(figsize=(13, 5)) fig = plt.figure() ax = fig.add_axes([0, 0, 1, 1]) fig = plt.figure() ax = fig.add_axes([0, 0, 0.5, 1]) fig = plt.figure() ax1 = fig.add_axes([0, 0, 0.5, 1]) ax2 = fig.add_axes([0.6, 0, 0.3, 0.5], facecolor='g')
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MIT
Lab_Notebooks/S1_3_Matplotlib.ipynb
tbeucler/2022_ML_Earth_Env_Sci
Subplots Subplot syntax is one way to specify the creation of multiple axes.
fig = plt.figure() axes = fig.subplots(nrows=2, ncols=3) fig = plt.figure(figsize=(12, 6)) axes = fig.subplots(nrows=2, ncols=3) axes
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MIT
Lab_Notebooks/S1_3_Matplotlib.ipynb
tbeucler/2022_ML_Earth_Env_Sci
There is a shorthand for doing this all at once, **which is our recommended way to create new figures!**
fig, ax = plt.subplots() ax fig, axes = plt.subplots(ncols=2, figsize=(8, 4), subplot_kw={'facecolor': 'g'}) axes
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MIT
Lab_Notebooks/S1_3_Matplotlib.ipynb
tbeucler/2022_ML_Earth_Env_Sci
Drawing into Axes All plots are drawn into axes. It is easiest to understand how matplotlib works if you use the [object-oriented](https://matplotlib.org/faq/usage_faq.htmlcoding-styles) style.
# create some data to plot import numpy as np x = np.linspace(-np.pi, np.pi, 100) y = np.cos(x) z = np.sin(6*x) fig, ax = plt.subplots() ax.plot(x, y)
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MIT
Lab_Notebooks/S1_3_Matplotlib.ipynb
tbeucler/2022_ML_Earth_Env_Sci
This does the same thing as
plt.plot(x, y)
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MIT
Lab_Notebooks/S1_3_Matplotlib.ipynb
tbeucler/2022_ML_Earth_Env_Sci
This starts to matter when we have multiple axes to worry about.
fig, axes = plt.subplots(figsize=(8, 4), ncols=2) ax0, ax1 = axes ax0.plot(x, y) ax1.plot(x, z)
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MIT
Lab_Notebooks/S1_3_Matplotlib.ipynb
tbeucler/2022_ML_Earth_Env_Sci
Labeling Plots
fig, axes = plt.subplots(figsize=(8, 4), ncols=2) ax0, ax1 = axes ax0.plot(x, y) ax0.set_xlabel('x') ax0.set_ylabel('y') ax0.set_title('x vs. y') ax1.plot(x, z) ax1.set_xlabel('x') ax1.set_ylabel('z') ax1.set_title('x vs. z') # squeeze everything in plt.tight_layout()
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MIT
Lab_Notebooks/S1_3_Matplotlib.ipynb
tbeucler/2022_ML_Earth_Env_Sci
Customizing Line Plots
fig, ax = plt.subplots() ax.plot(x, y, x, z)
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MIT
Lab_Notebooks/S1_3_Matplotlib.ipynb
tbeucler/2022_ML_Earth_Env_Sci
It’s simple to switch axes
fig, ax = plt.subplots() ax.plot(y, x, z, x)
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MIT
Lab_Notebooks/S1_3_Matplotlib.ipynb
tbeucler/2022_ML_Earth_Env_Sci
A “parametric” graph:
fig, ax = plt.subplots() ax.plot(y, z)
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MIT
Lab_Notebooks/S1_3_Matplotlib.ipynb
tbeucler/2022_ML_Earth_Env_Sci
Line Styles
fig, axes = plt.subplots(figsize=(16, 5), ncols=3) axes[0].plot(x, y, linestyle='dashed') axes[0].plot(x, z, linestyle='--') axes[1].plot(x, y, linestyle='dotted') axes[1].plot(x, z, linestyle=':') axes[2].plot(x, y, linestyle='dashdot', linewidth=5) axes[2].plot(x, z, linestyle='-.', linewidth=0.5)
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MIT
Lab_Notebooks/S1_3_Matplotlib.ipynb
tbeucler/2022_ML_Earth_Env_Sci
Colors As described in the [colors documentation](https://matplotlib.org/2.0.2/api/colors_api.html), there are some special codes for commonly used colors:* b: blue* g: green* r: red* c: cyan* m: magenta* y: yellow* k: black* w: white
fig, ax = plt.subplots() ax.plot(x, y, color='k') ax.plot(x, z, color='r')
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MIT
Lab_Notebooks/S1_3_Matplotlib.ipynb
tbeucler/2022_ML_Earth_Env_Sci
Other ways to specify colors:
fig, axes = plt.subplots(figsize=(16, 5), ncols=3) # grayscale axes[0].plot(x, y, color='0.8') axes[0].plot(x, z, color='0.2') # RGB tuple axes[1].plot(x, y, color=(1, 0, 0.7)) axes[1].plot(x, z, color=(0, 0.4, 0.3)) # HTML hex code axes[2].plot(x, y, color='#00dcba') axes[2].plot(x, z, color='#b029ee')
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MIT
Lab_Notebooks/S1_3_Matplotlib.ipynb
tbeucler/2022_ML_Earth_Env_Sci
There is a default color cycle built into `matplotlib`.
plt.rcParams['axes.prop_cycle'] fig, ax = plt.subplots(figsize=(12, 10)) for factor in np.linspace(0.2, 1, 11): ax.plot(x, factor*y)
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MIT
Lab_Notebooks/S1_3_Matplotlib.ipynb
tbeucler/2022_ML_Earth_Env_Sci
Markers There are [lots of different markers](https://matplotlib.org/api/markers_api.html) availabile in matplotlib!
fig, axes = plt.subplots(figsize=(12, 5), ncols=2) axes[0].plot(x[:20], y[:20], marker='.') axes[0].plot(x[:20], z[:20], marker='o') axes[1].plot(x[:20], z[:20], marker='^', markersize=10, markerfacecolor='r', markeredgecolor='k')
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MIT
Lab_Notebooks/S1_3_Matplotlib.ipynb
tbeucler/2022_ML_Earth_Env_Sci
Label, Ticks, and Gridlines
fig, ax = plt.subplots(figsize=(12, 7)) ax.plot(x, y) ax.set_xlabel('x') ax.set_ylabel('y') ax.set_title(r'A complicated math function: $f(x) = \cos(x)$') ax.set_xticks(np.pi * np.array([-1, 0, 1])) ax.set_xticklabels([r'$-\pi$', '0', r'$\pi$']) ax.set_yticks([-1, 0, 1]) ax.set_yticks(np.arange(-1, 1.1, 0.2), minor=True) #ax.set_xticks(np.arange(-3, 3.1, 0.2), minor=True) ax.grid(which='minor', linestyle='--') ax.grid(which='major', linewidth=2)
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MIT
Lab_Notebooks/S1_3_Matplotlib.ipynb
tbeucler/2022_ML_Earth_Env_Sci
Axis Limits
fig, ax = plt.subplots() ax.plot(x, y, x, z) ax.set_xlim(-5, 5) ax.set_ylim(-3, 3)
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MIT
Lab_Notebooks/S1_3_Matplotlib.ipynb
tbeucler/2022_ML_Earth_Env_Sci
Text Annotations
fig, ax = plt.subplots() ax.plot(x, y) ax.text(-3, 0.3, 'hello world') ax.annotate('the maximum', xy=(0, 1), xytext=(0, 0), arrowprops={'facecolor': 'k'})
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MIT
Lab_Notebooks/S1_3_Matplotlib.ipynb
tbeucler/2022_ML_Earth_Env_Sci
Other 1D Plots Scatter Plots
fig, ax = plt.subplots() splot = ax.scatter(y, z, c=x, s=(100*z**2 + 5)) fig.colorbar(splot)
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MIT
Lab_Notebooks/S1_3_Matplotlib.ipynb
tbeucler/2022_ML_Earth_Env_Sci
Bar Plots
labels = ['first', 'second', 'third'] values = [10, 5, 30] fig, axes = plt.subplots(figsize=(10, 5), ncols=2) axes[0].bar(labels, values) axes[1].barh(labels, values)
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MIT
Lab_Notebooks/S1_3_Matplotlib.ipynb
tbeucler/2022_ML_Earth_Env_Sci
2D Plotting Methods imshow
x1d = np.linspace(-2*np.pi, 2*np.pi, 100) y1d = np.linspace(-np.pi, np.pi, 50) xx, yy = np.meshgrid(x1d, y1d) f = np.cos(xx) * np.sin(yy) print(f.shape) fig, ax = plt.subplots(figsize=(12,4), ncols=2) ax[0].imshow(f) ax[1].imshow(f, origin='bottom')
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MIT
Lab_Notebooks/S1_3_Matplotlib.ipynb
tbeucler/2022_ML_Earth_Env_Sci
pcolormesh
fig, ax = plt.subplots(ncols=2, figsize=(12, 5)) pc0 = ax[0].pcolormesh(x1d, y1d, f) pc1 = ax[1].pcolormesh(xx, yy, f) fig.colorbar(pc0, ax=ax[0]) fig.colorbar(pc1, ax=ax[1]) x_sm, y_sm, f_sm = xx[:10, :10], yy[:10, :10], f[:10, :10] fig, ax = plt.subplots(figsize=(12,5), ncols=2) # last row and column ignored! ax[0].pcolormesh(x_sm, y_sm, f_sm, edgecolors='k') # same! ax[1].pcolormesh(x_sm, y_sm, f_sm[:-1, :-1], edgecolors='k') y_distorted = y_sm*(1 + 0.1*np.cos(6*x_sm)) plt.figure(figsize=(12,6)) plt.pcolormesh(x_sm, y_distorted, f_sm[:-1, :-1], edgecolors='w') plt.scatter(x_sm, y_distorted, c='k')
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MIT
Lab_Notebooks/S1_3_Matplotlib.ipynb
tbeucler/2022_ML_Earth_Env_Sci
contour / contourf
fig, ax = plt.subplots(figsize=(12, 5), ncols=2) # same thing! ax[0].contour(x1d, y1d, f) ax[1].contour(xx, yy, f) fig, ax = plt.subplots(figsize=(12, 5), ncols=2) c0 = ax[0].contour(xx, yy, f, 5) c1 = ax[1].contour(xx, yy, f, 20) plt.clabel(c0, fmt='%2.1f') plt.colorbar(c1, ax=ax[1]) fig, ax = plt.subplots(figsize=(12, 5), ncols=2) clevels = np.arange(-1, 1, 0.2) + 0.1 cf0 = ax[0].contourf(xx, yy, f, clevels, cmap='RdBu_r', extend='both') cf1 = ax[1].contourf(xx, yy, f, clevels, cmap='inferno', extend='both') fig.colorbar(cf0, ax=ax[0]) fig.colorbar(cf1, ax=ax[1])
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MIT
Lab_Notebooks/S1_3_Matplotlib.ipynb
tbeucler/2022_ML_Earth_Env_Sci
quiver
u = -np.cos(xx) * np.cos(yy) v = -np.sin(xx) * np.sin(yy) fig, ax = plt.subplots(figsize=(12, 7)) ax.contour(xx, yy, f, clevels, cmap='RdBu_r', extend='both', zorder=0) ax.quiver(xx[::4, ::4], yy[::4, ::4], u[::4, ::4], v[::4, ::4], zorder=1)
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MIT
Lab_Notebooks/S1_3_Matplotlib.ipynb
tbeucler/2022_ML_Earth_Env_Sci
streamplot
fig, ax = plt.subplots(figsize=(12, 7)) ax.streamplot(xx, yy, u, v, density=2, color=(u**2 + v**2))
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MIT
Lab_Notebooks/S1_3_Matplotlib.ipynb
tbeucler/2022_ML_Earth_Env_Sci
Exercise 3: Replicating Plots using `Matplotlib` and `Numpy` The goal here is to replicate the figures you see as closely as possible. Note that the data in *Part I* is hosted online and updated automatically - your figures may not look exactly the same!In order to get some data, you will have to run the code in the cells below. There is no need to focus on how this code exactly works. In the end, it will give you some `numpy` arrays, which you will use in your plots. This exercise should be done using **only `numpy` and `matplotlib`**. Part I: Line and Contour Plots to Visualize Global Temperature Data The temperature data are from the [NCEP/NCAR atmospheric reanalysis 1](https://psl.noaa.gov/data/gridded/data.ncep.reanalysis.html).
import xarray as xr ds_url = 'http://iridl.ldeo.columbia.edu/SOURCES/.NOAA/.NCEP-NCAR/.CDAS-1/.MONTHLY/.Diagnostic/.surface/.temp/dods' ds = xr.open_dataset(ds_url, decode_times=False) ######################################################### #### BELOW ARE THE VARIABLES YOU SHOULD USE IN THE PLOTS #### (numpy arrays) #### NO XARRAY ALLOWED :) ######################################################### temp = ds.temp[-1].values - 273.15 lon = ds.X.values lat = ds.Y.values
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MIT
Lab_Notebooks/S1_3_Matplotlib.ipynb
tbeucler/2022_ML_Earth_Env_Sci
Below is the figure to replicate using the `numpy` variables `temp`, `lon`, and `lat`.Hint 1: Zonal-mean is synonymous with longitudinal-mean, i.e. the mean must be taken along the `axis` corresponding to `lon`.Hint 2: To create subplots of different sizes, consider reading the [`plt.subplots` documentation](https://matplotlib.org/stable/api/_as_gen/matplotlib.pyplot.subplots.html).Hint 3: For the left subplot, check out the [2D Plotting Methods section](2D_Plotting_Methods).Hint 4: For the right subplot, check out the [Label, Ticks, and Gridlines subsection](Label).Hint 5: Don't spend too too much time making your figure perfect as there is still a lot of ground to cover in the next notebooks 😀 ![fig2.png](data:image/png;base64,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)
# Replicate the figure here
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MIT
Lab_Notebooks/S1_3_Matplotlib.ipynb
tbeucler/2022_ML_Earth_Env_Sci
Part II: Scatter Plots to Visualize Earthquake Data Here, we will make a map plot of earthquakes from a USGS catalog of historic large earthquakes. Color the earthquakes by `log10(depth)` and adjust the marker size to be `magnitude/100`
import pooch fname = pooch.retrieve( "https://unils-my.sharepoint.com/:u:/g/personal/tom_beucler_unil_ch/EW1bnM3elHpAtjb1KtiEw0wB9Pl5w_FwrCvVRlnilXHCtg?download=1", known_hash='22b9f7045bf90fb99e14b95b24c81da3c52a0b4c79acf95d72fbe3a257001dbb', processor=pooch.Unzip() )[0] earthquakes = np.genfromtxt(fname, delimiter='\t') depth = earthquakes[:, 8] magnitude = earthquakes[:, 9] latitude = earthquakes[:, 20] longitude = earthquakes[:, 21]
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MIT
Lab_Notebooks/S1_3_Matplotlib.ipynb
tbeucler/2022_ML_Earth_Env_Sci
Below is the figure to replicate using the `numpy` variables `earthquake`, `depth`, `magnitude`, `latitude`, and `longitude`.Hint: Check out the [Scatter Plots subsection](Scatter) and consider reading the documentation for [`plt.scatter`](https://matplotlib.org/stable/api/_as_gen/matplotlib.pyplot.scatter.html) and [`plt.colorbar`](https://matplotlib.org/stable/api/_as_gen/matplotlib.pyplot.colorbar.html). ![fig3.png](data:image/png;base64,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)
# Replicate the figure here
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MIT
Lab_Notebooks/S1_3_Matplotlib.ipynb
tbeucler/2022_ML_Earth_Env_Sci
Data Preparation Settings/FunctionsRead in settings and functions.
libraries <-c('here','missForest','stringr','imputeMissings','regclass' ,'purrr','DescTools') suppressWarnings(lapply(libraries, require, character.only = TRUE)) suppressWarnings(source(here::here('Stock Estimation', 'settings.R')))
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MIT
Stock Estimation/notebooks/3.0_data_preparation.ipynb
ndysle1/R-Projects
DataRead in the final data set from the data preparation notebook.
data <- fread(paste0(dir$final_data,'combined_financial.csv'))
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MIT
Stock Estimation/notebooks/3.0_data_preparation.ipynb
ndysle1/R-Projects
More Cleaning Duplicates
#Checking for duplicate column sums dups <- data[ , which(duplicated(t(data)))] dups <- names(dups) dups #Removing any duplicate column sums after verifying them data <- data %>% dplyr::select(-c(dups)) dim(data) #Looking for missing values & evaluating list of variable names na <- apply(is.na(data),2,sum) max(na) # NOTE: The following code has been commmented out due to the length of its output. #print(na) head(sort(na, decreasing = TRUE), n=25) #Merging and dropping duplicated variable names #NOTE: Portions of the following code has been commmented out due to the length of its output. #view(data[, c("Payout Ratio", "payoutRatio")]) data <- Name_Changer(dat=data,x='Payout Ratio',y='payoutRatio') #view(data[, c('interestCoverage', 'Interest Coverage')]) data <- Name_Changer(dat=data,x='Interest Coverage',y='interestCoverage') #view(data[, c('netProfitMargin', 'Net Profit Margin')]) data <- Name_Changer(dat=data,x='Net Profit Margin',y='netProfitMargin') #view(data[, c('PE ratio', 'priceEarningsRatio')]) data <- Name_Changer(dat=data,x='PE ratio',y='priceEarningsRatio') #view(data[, c('priceToFreeCashFlowsRatio', 'PFCF ratio')]) data <- Name_Changer(dat=data,x='PFCF ratio',y='priceToFreeCashFlowsRatio') #view(data[, c('priceToOperatingCashFlowsRatio', 'POCF ratio')]) data <- Name_Changer(dat=data,x='POCF ratio',y='priceToOperatingCashFlowsRatio') #view(data[, c('priceToSalesRatio', 'Price to Sales Ratio')]) data <- Name_Changer(dat=data,x='Price to Sales Ratio',y='priceToSalesRatio') #view(data[, c('Days Payables Outstanding', 'daysOfPayablesOutstanding')]) data <- Name_Changer(dat=data,x='Days Payables Outstanding',y='daysOfPayablesOutstanding') #view(data[, c('Free Cash Flow per Share', 'freeCashFlowPerShare')]) data <- Name_Changer(dat=data,x='Free Cash Flow per Share',y='freeCashFlowPerShare') #view(data[, c('ROE', 'returnOnEquity')]) data <- Name_Changer(dat=data,x='ROE',y='returnOnEquity') #view(data[, c('priceToBookRatio', 'PTB ratio')]) data <- Name_Changer(dat=data,x='PTB ratio',y='priceToBookRatio') #view(data[, c('priceBookValueRatio', 'PB ratio')]) data <- Name_Changer(dat=data,x='PB ratio',y='priceBookValueRatio') #view(data[, c('operatingCashFlowPerShare', 'Operating Cash Flow per Share')]) data <- Name_Changer(dat=data,x='Operating Cash Flow per Share',y='operatingCashFlowPerShare') #view(data[, c('Cash per Share', 'cashPerShare')]) data <- Name_Changer(dat=data,x='Cash per Share',y='cashPerShare') dim(data)
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MIT
Stock Estimation/notebooks/3.0_data_preparation.ipynb
ndysle1/R-Projects
Variable Names
#Checking variable names names(data) data <- setDT(data) #Changing all names to lower case and replacing spaces with "_" #Amending various features to make more compatible models names(data) <- str_trim(names(data), side = "both") names(data) <- str_to_lower(names(data), locale = "en") names(data) <- str_replace_all(names(data), " ", "_") names(data) <- str_replace_all(names(data), "-", "") names(data) <- str_replace_all(names(data), "&", ".") names(data) <- str_replace_all(names(data), "\\(", "") names(data) <- str_replace_all(names(data), "\\)", "") names(data) <- str_replace_all(names(data), "3y", "three_yr") names(data) <- str_replace_all(names(data), "5y", "five_yr") names(data) <- str_replace_all(names(data), "10y", "ten_yr") names(data) <- str_replace_all(names(data), "\\\\", "") names(data) <- str_replace_all(names(data), "////", "_") names(data) <- str_replace_all(names(data), ",", "") names(data) <- str_replace_all(names(data), "_._", "_") names(data) <- str_replace_all(names(data), "/", "_") setnames(data, 'eps', 'earnings_per_share') names(data)
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MIT
Stock Estimation/notebooks/3.0_data_preparation.ipynb
ndysle1/R-Projects
Categorical Encoding
#Categorical Encoding data[, sector := as.factor(sector)] data[, sector_num := as.numeric(sector)] #Reordering data to put "sector" with "sector_num" data <- data %>% dplyr::select('stock','nextyr_price_var','class','year','sector','sector_num', everything()) %>% setDT()
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MIT
Stock Estimation/notebooks/3.0_data_preparation.ipynb
ndysle1/R-Projects
Missing Data
na <- apply(is.na(data),2,sum) #print(na) max(na) #sort(na, decreasing = TRUE) head(sort(na, decreasing = TRUE), n=25) summary(na) #Checking how many rows are complete sum(complete.cases(data)) #Checking for NA across rows data$na <- rowSums(is.na(data)) max(data$na) head(sort(data$na, decreasing = TRUE),n = 20) summary(data$na) #Found that 50 was a good cut off for dropping rows drop <- data %>% filter(na >= 50) dim(drop) data <- data %>% filter(na <= 50) data <- dplyr::select(data, -c(na)) #Re-checking the NAs across columns na <- apply(is.na(data),2,sum) max(na) # NOTE: The following code has been commmented out due to the length of its output. #print(na) #sort(na, decreasing = TRUE) head(sort(na, decreasing = TRUE), n=25) #Keeping only columns with less than ~15 percent missing perc <- apply(data,2,Perc_Missing) max(perc) # NOTE: The following code has been commmented out due to the length of its output. #print(perc) #sort(perc, decreasing = TRUE) head(sort(perc, decreasing = TRUE), n=25) #Choosing to only keep variables with less than 15% missing data data <- data[, which(apply(data,2,Perc_Missing) < 15.0)]
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MIT
Stock Estimation/notebooks/3.0_data_preparation.ipynb
ndysle1/R-Projects
Multicollinearity/Linear Dependence/Winsorization
#Splitting datasets data <- setDT(data) data2 <- select(data, c('stock','nextyr_price_var','sector')) data <- select(data, -c('stock','nextyr_price_var','sector')) #Converting class to a factor data <- data[, class := as.factor(class)] #Run regression to identify linearly dependent variables set.seed(123) glm <- suppressWarnings(glm(class~., family = binomial , data = data)) #Find the linearly dependent variables vars <- attributes(alias(glm)$Complete)$dimnames[[1]] vars # Remove the linearly dependent variables remove <- match(vars,names(data)) remove dim(data) data <- select(data, -c(remove)) dim(data) #Re-run regression without linearly dependent variables set.seed(123) glm <- suppressWarnings(glm(class~., family = binomial , data = data)) #NOTE: This section of the code will take some time to run. #The function VIF_Check runs a regression and removes the max #VIF, repeating this process until all VIFs are below threshold #Removing variables with VIFs above 5 data <- VIF_Check(dat=data, threshold=5) #Re-combine data data <- cbind(data2,data) %>% setDT() dim(data) #Re-run regression without linearly dependent variables set.seed(123) glm <- suppressWarnings(glm(class~., family = binomial(link = "logit") , data = data[, -c('stock','nextyr_price_var','sector')], control = list(maxit = 100))) #Split data for winsorization data2 <- select(data, c('class','year','sector_num','stock' ,'nextyr_price_var','sector')) data <- select(data, -c('class','year','sector_num','stock' ,'nextyr_price_var','sector')) #Winsorize each column accordingly data <- map_df(data, ~Winsorize(., probs=c(0.05,0.95),na.rm=TRUE)) #Recombine datasets data <- cbind(data2,data) %>% setDT() dim(data) #Re-run regression to see if error has been corrected #No warning message occurs set.seed(123) glm <- glm(class~., family = binomial(link = "logit") , data = data[, -c('stock','nextyr_price_var','sector')], control = list(maxit = 100)) summary(glm)
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MIT
Stock Estimation/notebooks/3.0_data_preparation.ipynb
ndysle1/R-Projects
Imputing Missing Values
#Imputation will be implemented if necessary in the modeling notebook
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MIT
Stock Estimation/notebooks/3.0_data_preparation.ipynb
ndysle1/R-Projects
Uniformity
#Implementing scaling in the modeling notebook
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MIT
Stock Estimation/notebooks/3.0_data_preparation.ipynb
ndysle1/R-Projects
Additional Cleaning
#No additional cleaning was performed in this notebook
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MIT
Stock Estimation/notebooks/3.0_data_preparation.ipynb
ndysle1/R-Projects
Save the Modeling Dataset
fwrite(data, paste0(dir$final_data,'clean_financial.csv'))
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MIT
Stock Estimation/notebooks/3.0_data_preparation.ipynb
ndysle1/R-Projects
Pandas Daten Visualisierung
import numpy as np import pandas as pd %matplotlib inline pd.read_csv('',index_col=0) #die Erste Zeile der csv ist nun der Spaltenindex/Schlüssel pro Zeile #das Styling des Plots wird verändert (rote Balken) #stacked = True -> Werte werden übereinander gelegt #Lineplot s=df1['C']*100 #die Diagrammpkt. werden größer dargestellt
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MIT
Pandas/Pandas Daten Visualisierung.ipynb
florianfricke/data_science_jupyter_notebooks
Plotly ist eine Visualisierungslibary -> 3D Dia. möglCufflinks verbindet Plotly mit Pandasbeide müssen installiert werdennicht mit Anaconda installierbar -> mit Terminal installieren`pip install plotly` `pip install cufflinks`
import seaborn as sns df = pd.read_csv('tips.csv') df.head() sns.violinplot(x='day', y='total_bill', data=df) sns.violinplot
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MIT
Pandas/Pandas Daten Visualisierung.ipynb
florianfricke/data_science_jupyter_notebooks
INCIDENCE MATRIX decomposing Incidence matrix and plotting node features(W)
inci = nx.incidence_matrix(G).todense() print(inci.shape) print(inci)
(30, 154) [[ 1. 1. 1. ..., 0. 0. 0.] [ 1. 0. 0. ..., 0. 0. 0.] [ 0. 1. 0. ..., 0. 0. 0.] ..., [ 0. 0. 0. ..., 1. 1. 0.] [ 0. 0. 0. ..., 1. 0. 1.] [ 0. 0. 0. ..., 0. 1. 1.]]
MIT
incidence-mat-exp.ipynb
supriya-pandhre/incidence-mat-exp
NMF Decomposition
from sklearn.decomposition import NMF model = NMF(n_components=2,init='random', random_state=0) W = model.fit_transform(inci) H = model.components_ err = model.reconstruction_err_ it = model.n_iter_ print(err) print(it) print(W.shape) print(H.shape) # print(W[0]) # print(H[:,0])
16.3736251866 89 (30, 2) (2, 154)
MIT
incidence-mat-exp.ipynb
supriya-pandhre/incidence-mat-exp
NMF displaying learned nodes
# displaying learned nodes import matplotlib import numpy as np fig = plt.figure(figsize=(10,10)) colors=['green','hotpink','yellow']#, 'cyan','red','purple'] svd = fig.add_subplot(1,1,1) svd.scatter(W[:, 0], W[:, 1],c=np.array(list(partition.values())),marker='o',s=[50,50],cmap=matplotlib.colors.ListedColormap(colors)) svd.title.set_text("W-nodes") plt.show()
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MIT
incidence-mat-exp.ipynb
supriya-pandhre/incidence-mat-exp
NMF displaying learned edge vectors(H)
#color edges edges = G.edges() ed_label = [] for ed in edges: if partition[ed[0]]==partition[ed[1]] and partition[ed[0]]==0: ed_label.append(0) elif partition[ed[0]]==partition[ed[1]] and partition[ed[0]]==1: ed_label.append(1) elif partition[ed[0]]==partition[ed[1]] and partition[ed[0]]==2: ed_label.append(2) elif partition[ed[0]]==0 and partition[ed[1]]==1: ed_label.append(3) elif partition[ed[0]]==1 and partition[ed[1]]==2: ed_label.append(4) elif partition[ed[0]]==0 and partition[ed[1]]==2: ed_label.append(5) print(len(edges)) print(len(ed_label)) # displaying learned edge vectors(H) import matplotlib import numpy as np fig = plt.figure(figsize=(10,10)) # 0-0 1-1 2-2 0-1 1-2 0-2 colors=['green','hotpink','yellow', 'cyan','red','purple'] svd = fig.add_subplot(1,1,1) H1 = np.transpose(H) svd.scatter(H1[:, 0], H1[:, 1],c=np.array(ed_label),s=[50,50],cmap=matplotlib.colors.ListedColormap(colors)) svd.title.set_text("W-edges") plt.show() # PCA and t-SNE for node features (W) from sklearn.decomposition import PCA from sklearn.manifold import TSNE from sklearn.preprocessing import normalize fig = plt.figure(figsize=(10,10)) colors=['green','hotpink','yellow', 'cyan','red','purple'] # W1 = normalize(W) tsne = fig.add_subplot(1,2,1) X_tsne = TSNE(n_components=2, perplexity=40).fit_transform(W) tsne.scatter(X_tsne[:, 0], X_tsne[:, 1], c=np.array(list(partition.values())),s=[50,50],cmap=matplotlib.colors.ListedColormap(colors)) tsne.title.set_text("t-SNE") pca = fig.add_subplot(1,2,2) X_pca = PCA(n_components=2).fit_transform(W) pca.scatter(X_pca[:, 0], X_pca[:, 1], c=np.array(list(partition.values())), s=[50, 50], cmap=matplotlib.colors.ListedColormap(colors)) pca.title.set_text("PCA") plt.show() # PCA and t-SNE for edge features (H) from sklearn.decomposition import PCA from sklearn.manifold import TSNE from sklearn.preprocessing import normalize fig = plt.figure(figsize=(10,10)) colors=['green','hotpink','yellow', 'cyan','red','purple'] H1 = np.transpose(H) # H1 = normalize(H1) tsne = fig.add_subplot(1,2,1) X_tsne = TSNE(n_components=2, perplexity=40).fit_transform(H1) tsne.scatter(X_tsne[:, 0], X_tsne[:, 1], c=np.array(ed_label),s=[50,50],cmap=matplotlib.colors.ListedColormap(colors)) tsne.title.set_text("t-SNE") pca = fig.add_subplot(1,2,2) X_pca = PCA(n_components=2).fit_transform(H1) pca.scatter(X_pca[:, 0], X_pca[:, 1], c=np.array(ed_label), s=[50, 50], cmap=matplotlib.colors.ListedColormap(colors)) pca.title.set_text("PCA") plt.show()
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MIT
incidence-mat-exp.ipynb
supriya-pandhre/incidence-mat-exp
SVD decomposition of Incidence matrix
# SVD decomposition ui,si,vi = np.linalg.svd(inci) print(ui.shape) # u=np.around(u,decimals=5) # print(ui) print(si.shape) # s=np.around(s) # print(si) print(vi.shape) # v=np.around(v,decimals=5) # print(vi)
(30, 30) (30,) (154, 154)
MIT
incidence-mat-exp.ipynb
supriya-pandhre/incidence-mat-exp
SVD features of nodes decomposed from incidence matrix
import matplotlib import numpy as np fig = plt.figure(figsize=(10,10)) colors=['green','hotpink','yellow', 'cyan','red','purple'] svd = fig.add_subplot(1,1,1) print(len(list(partition.values()))) print(ui[:,0].shape) svd.scatter([ui[:, 0]], [ui[:, 1]],c=np.array(list(partition.values())),s=[50,50],cmap=matplotlib.colors.ListedColormap(colors)) svd.title.set_text("U-nodes") plt.show()
30 (30, 1)
MIT
incidence-mat-exp.ipynb
supriya-pandhre/incidence-mat-exp