def run_all_sims():
df_out = open(pt.get_path() + '/data/simulations/cov_euc.txt', 'w')
n_pops = 20
n_genes = 50
lambda_genes = np.random.gamma(shape=3, scale=1, size=n_genes)
covs = [0.5, 0, -0.5]
df_out.write('\t'.join(['Covariance', 'Iteration', 'z_score']) + '\n')
for cov in covs:
for i in range(100):
print(str(cov) + ' ' + str(i))
test_cov = np.stack(
[get_count_pop(lambda_genes, cov=cov) for x in range(n_pops)],
axis=0)
X = pt.hellinger_transform(test_cov)
pca = PCA()
pca_fit = pca.fit_transform(X)
euc_dist = pt.get_euclidean_distance(pca_fit)
sim_eucs = []
for j in range(1000):
#if j % 100 == 0:
# print(j)
X_j = pt.hellinger_transform(pt.random_matrix(test_cov))
pca_fit_j = pca.fit_transform(X_j)
sim_eucs.append(pt.get_euclidean_distance(pca_fit_j))
z_score = (euc_dist - np.mean(sim_eucs)) / np.std(sim_eucs)
df_out.write('\t'.join([str(cov), str(i), str(z_score)]) + '\n')
df_out.close()
def run_ntwrk_cov_sims(var=1, cov=0.25):
df_out = open(
pt.get_path() + '/data/simulations/cov_ntwrk_euc_pos_only_010.txt',
'w')
n_pops = 20
n_genes = 250
lambda_genes = np.random.gamma(shape=3, scale=1, size=n_genes)
df_out.write('\t'.join(['Cov', 'Iteration', 'z_score']) + '\n')
C = np.loadtxt(pt.get_path() + '/data/modular_ntwrk_mu_010.txt',
delimiter='\t') #, dtype='int')
#print(np.mean(np.sum(ntwrk, axis =1)))
C = C * cov
np.fill_diagonal(C, var)
for i in range(100):
test_cov = np.stack(
[get_count_pop(lambda_genes, cov=C) for x in range(n_pops)],
axis=0)
X = pt.hellinger_transform(test_cov)
pca = PCA()
pca_fit = pca.fit_transform(X)
euc_dist = pt.get_mean_pairwise_euc_distance(pca_fit)
sim_eucs = []
for j in range(1000):
X_j = pt.hellinger_transform(pt.random_matrix(test_cov))
pca_fit_j = pca.fit_transform(X_j)
sim_eucs.append(pt.get_mean_pairwise_euc_distance(pca_fit_j))
z_score = (euc_dist - np.mean(sim_eucs)) / np.std(sim_eucs)
print(str(cov), ' ', str(i), ' ', str(z_score))
df_out.write('\t'.join([str(cov), str(i), str(z_score)]) + '\n')
df_out.close()
def run_block_cov_sims():
df_out = open(
pt.get_path() + '/data/simulations/cov_block_euc_pos_only.txt', 'w')
n_pops = 20
n_genes = 50
lambda_genes = np.random.gamma(shape=3, scale=1, size=n_genes)
df_out.write('\t'.join(['Cov', 'Iteration', 'z_score']) + '\n')
#covs = [0.1, 0.3, 0.4, 0.5, 0.6, 0.7, 0.9]
covs = [-0.9]
for cov in covs:
C = get_block_cov(n_genes, pos_cov=cov, neg_cov=cov)
print(np.all(np.linalg.eigvals(C) > 0))
print(C)
for i in range(100):
test_cov = np.stack(
[get_count_pop(lambda_genes, cov=C) for x in range(n_pops)],
axis=0)
X = pt.hellinger_transform(test_cov)
pca = PCA()
pca_fit = pca.fit_transform(X)
euc_dist = pt.get_mean_pairwise_euc_distance(pca_fit)
sim_eucs = []
for j in range(1000):
X_j = pt.hellinger_transform(pt.random_matrix(test_cov))
pca_fit_j = pca.fit_transform(X_j)
sim_eucs.append(pt.get_mean_pairwise_euc_distance(pca_fit_j))
z_score = (euc_dist - np.mean(sim_eucs)) / np.std(sim_eucs)
print(str(cov), ' ', str(i), ' ', str(z_score))
df_out.write('\t'.join([str(cov), str(i), str(z_score)]) + '\n')
df_out.close()
def two_treats_sim(iter1=1000, iter2=1000, alpha=0.05):
genes = 10
pops1 = pops2 = 10
shape = 1
scale = 1
muts1 = muts2 = 20
to_reshuffle = [0, 5, 10, 15, 20]
for reshuf in to_reshuffle:
p_vales = []
for i in range(iter1):
#print(i)
rates = np.random.gamma(shape, scale=scale, size=genes)
rates1 = rates.copy()
# permute rates
shuffle(rates[:reshuf])
rates2 = rates.copy()
list_dicts1 = [
Counter(
np.random.choice(genes,
size=muts1,
replace=True,
p=rates1 / sum(rates1)))
for i in range(pops1)
]
list_dicts2 = [
Counter(
np.random.choice(genes,
size=muts2,
replace=True,
p=rates2 / sum(rates2)))
for i in range(pops2)
]
df1 = pd.DataFrame(list_dicts1)
df2 = pd.DataFrame(list_dicts2)
df = pd.concat([df1, df2])
df = df.fillna(0)
count_matrix = df.values
groups = [
np.asarray(list(range(0, pops1))),
np.asarray(list(range(pops1, pops1 + pops2)))
]
pca = PCA()
X = pt.hellinger_transform(count_matrix)
pca_fit = pca.fit_transform(X)
F = get_F_stat_pairwise(pca_fit, groups)
F_list = []
for j in range(iter2):
count_matrix_n0 = pt.random_matrix(count_matrix)
X_n0 = pt.hellinger_transform(count_matrix_n0)
pca_fit_n0 = pca.fit_transform(X_n0)
F_list.append(get_F_stat_pairwise(pca_fit_n0, groups))
p_vales.append(
(len([x for x in F_list if x > F]) + 1) / (iter2 + 1))
power = (len([k for k in p_vales if k < alpha]) + 1) / (iter1 + 1)
print('Reshuffle = ' + str(reshuf) + ', Power ' + str(power))
def run_pca_permutation(iter=10000, analysis='PCA', dataset='tenaillon'):
if dataset == 'tenaillon':
k = 3
df_path = pt.get_path() + '/data/Tenaillon_et_al/gene_by_pop.txt'
df = pd.read_csv(df_path, sep='\t', header='infer', index_col=0)
df_array = df.as_matrix()
df_out = open(
pt.get_path() + '/data/Tenaillon_et_al/permute_' + analysis +
'.txt', 'w')
column_headers = [
'Iteration', 'MCD', 'mean_angle', 'mean_dist', 'delta_L', 'x_stat'
]
df_out.write('\t'.join(column_headers) + '\n')
for i in range(iter):
print(i)
df_rndm = pd.DataFrame(data=pt.random_matrix(df_array),
index=df.index,
columns=df.columns)
df_rndm_delta = pt.likelihood_matrix(
df_rndm, 'Tenaillon_et_al').get_likelihood_matrix()
if analysis == 'PCA':
X = pt.hellinger_transform(df_rndm_delta)
pca = PCA()
df_rndm_delta_out = pca.fit_transform(X)
#df_pca = pd.DataFrame(data=X_pca, index=df.index)
mean_angle = pt.get_mean_angle(df_rndm_delta_out, k=k)
mcd = pt.get_mean_centroid_distance(df_rndm_delta_out, k=k)
mean_length = pt.get_euc_magnitude_diff(df_rndm_delta_out, k=k)
mean_dist = pt.get_mean_pairwise_euc_distance(df_rndm_delta_out,
k=k)
x_stat = pt.get_x_stat(pca.explained_variance_[:-1])
df_out.write('\t'.join([
str(i),
str(mcd),
str(mean_angle),
str(mean_dist),
str(mean_length),
str(x_stat)
]) + '\n')
df_out.close()
elif dataset == 'good':
k = 5
df_path = pt.get_path() + '/data/Good_et_al/gene_by_pop.txt'
df = pd.read_csv(df_path, sep='\t', header='infer', index_col=0)
to_exclude = pt.complete_nonmutator_lines()
to_exclude.append('p5')
df_nonmut = df[df.index.str.contains('|'.join(to_exclude))]
# remove columns with all zeros
df_nonmut = df_nonmut.loc[:, (df_nonmut != 0).any(axis=0)]
time_points = [int(x.split('_')[1]) for x in df_nonmut.index.values]
time_points_set = sorted(
list(set([int(x.split('_')[1]) for x in df_nonmut.index.values])))
df_nonmut_array = df_nonmut.as_matrix()
time_points_positions = {}
for x in time_points_set:
time_points_positions[x] = [
i for i, j in enumerate(time_points) if j == x
]
df_final = df_nonmut.iloc[time_points_positions[time_points_set[-1]]]
df_out = open(
pt.get_path() + '/data/Good_et_al/permute_' + analysis + '.txt',
'w')
#column_headers = ['Iteration', 'Generation', 'MCD']
column_headers = [
'Iteration', 'Generation', 'MCD', 'mean_angle', 'delta_L',
'mean_dist'
]
df_out.write('\t'.join(column_headers) + '\n')
for i in range(iter):
print("Iteration " + str(i))
matrix_0 = df_nonmut.iloc[time_points_positions[
time_points_set[0]]]
matrix_0_rndm = pt.random_matrix(matrix_0.as_matrix())
df_rndm_list = [
pd.DataFrame(data=matrix_0_rndm,
index=matrix_0.index,
columns=matrix_0.columns)
]
# skip first time step
for j, tp in enumerate(time_points_set[0:]):
if j == 0:
continue
df_tp_minus1 = df_nonmut[df_nonmut.index.str.contains(
'_' + str(time_points_set[j - 1]))]
df_tp = df_nonmut[df_nonmut.index.str.contains('_' + str(tp))]
matrix_diff = df_tp.as_matrix() - df_tp_minus1.as_matrix()
matrix_0_rndm = matrix_0_rndm + pt.random_matrix(matrix_diff)
df_0_rndm = pd.DataFrame(data=matrix_0_rndm,
index=df_tp.index,
columns=df_tp.columns)
df_rndm_list.append(df_0_rndm)
df_rndm = pd.concat(df_rndm_list)
df_rndm_delta = pt.likelihood_matrix(
df_rndm, 'Good_et_al').get_likelihood_matrix()
if analysis == 'PCA':
X = pt.hellinger_transform(df_rndm_delta)
pca = PCA()
matrix_rndm_delta_out = pca.fit_transform(X)
elif analysis == 'cMDS':
matrix_rndm_delta_bc = np.sqrt(
pt.get_bray_curtis(df_rndm_delta.as_matrix()))
matrix_rndm_delta_out = pt.cmdscale(matrix_rndm_delta_bc)[0]
else:
print("Analysis argument not accepted")
continue
df_rndm_delta_out = pd.DataFrame(data=matrix_rndm_delta_out,
index=df_rndm_delta.index)
for tp in time_points_set:
df_rndm_delta_out_tp = df_rndm_delta_out[
df_rndm_delta_out.index.str.contains('_' + str(tp))]
df_rndm_delta_out_tp_matrix = df_rndm_delta_out_tp.as_matrix()
mean_angle = pt.get_mean_angle(df_rndm_delta_out_tp_matrix,
k=k)
mcd = pt.get_mean_centroid_distance(
df_rndm_delta_out_tp_matrix, k=k)
mean_length = pt.get_euc_magnitude_diff(
df_rndm_delta_out_tp_matrix, k=k)
mean_dist = pt.get_mean_pairwise_euc_distance(
df_rndm_delta_out_tp_matrix, k=k)
df_out.write('\t'.join([
str(i),
str(tp),
str(mcd),
str(mean_angle),
str(mean_length),
str(mean_dist)
]) + '\n')
df_out.close()
def run_ba_ntwk_cov_sims():
df_out = open(pt.get_path() + '/data/simulations/cov_ba_ntwrk_ev.txt', 'w')
n_pops = 100
n_genes = 50
ntwk = nx.barabasi_albert_graph(n_genes, 2)
ntwk_np = nx.to_numpy_matrix(ntwk)
lambda_genes = np.random.gamma(shape=3, scale=1, size=n_genes)
df_out.write('\t'.join([
'Cov', 'Iteration', 'euc_z_score', 'euc_percent', 'eig_percent',
'mcd_percent_k1', 'mcd_percent_k3'
]) + '\n')
covs = [0.05, 0.1, 0.15, 0.2]
#covs = [0.2, 0.7]
for cov in covs:
C = ntwk_np * cov
np.fill_diagonal(C, 1)
#z_scores = []
#eig_percents = []
#euc_percents = []
#centroid_percents_k1 = []
#centroid_percents_k3 = []
for i in range(1000):
test_cov = np.stack(
[get_count_pop(lambda_genes, cov=C) for x in range(n_pops)],
axis=0)
X = pt.hellinger_transform(test_cov)
pca = PCA()
pca_fit = pca.fit_transform(X)
euc_dist = pt.get_mean_pairwise_euc_distance(pca_fit)
euc_dists = []
eig = pt.get_x_stat(pca.explained_variance_[:-1])
mcd_k1 = pt.get_mean_centroid_distance(pca_fit, k=1)
mcd_k3 = pt.get_mean_centroid_distance(pca_fit, k=3)
eigs = []
centroid_dists_k1 = []
centroid_dists_k3 = []
for j in range(1000):
X_j = pt.hellinger_transform(pt.random_matrix(test_cov))
#pca_j = PCA()
#pca_fit_j = pca_j.fit_transform(X_j)
pca_fit_j = pca.fit_transform(X_j)
euc_dists.append(pt.get_mean_pairwise_euc_distance(pca_fit_j))
centroid_dists_k1.append(
pt.get_mean_centroid_distance(pca_fit_j, k=1))
centroid_dists_k3.append(
pt.get_mean_centroid_distance(pca_fit_j, k=3))
eigs.append(pt.get_x_stat(pca.explained_variance_[:-1]))
#eigs.append( pt.get_x_stat(pca_j.explained_variance_[:-1]) )
z_score = (euc_dist - np.mean(euc_dists)) / np.std(euc_dists)
euc_percent = len([k for k in euc_dists if k < euc_dist
]) / len(euc_dists)
eig_percent = len([k for k in eigs if k < eig]) / len(eigs)
centroid_percent_k1 = len([
k for k in centroid_dists_k1 if k < mcd_k1
]) / len(centroid_dists_k1)
centroid_percent_k3 = len([
k for k in centroid_dists_k3 if k < mcd_k3
]) / len(centroid_dists_k3)
#eig_percents.append(eig_percent)
#euc_percents.append(euc_percent)
#z_scores.append(z_score)
print(cov, i, z_score, euc_percent, eig_percent)
df_out.write('\t'.join([
str(cov),
str(i),
str(z_score),
str(euc_percent),
str(eig_percent),
str(centroid_percent_k1),
str(centroid_percent_k3)
]) + '\n')
#print(cov, np.all(np.linalg.eigvals(C) > 0), np.mean(z_scores))
df_out.close()
