def compute_mse_from_assignments(assignments,
graph,
directed=True,
loops=False):
estimator = SBMEstimator(loops=loops, directed=directed)
estimator.fit(graph, y=assignments)
return compute_mse(estimator, graph)
def dcsbm_objective(adj, labels):
# class1_var = np.var(input[class1_inds])
# class2_var = np.var(input[class2_inds])
dcsbm = SBMEstimator()
dcsbm.fit(adj, y=labels)
objective = dcsbm.score(adj)
return objective
def run_fit(seed):
np.random.seed(seed)
# load
left_graph, left_labels = load_left()
right_graph, right_labels = load_right()
# fit SBM left, predict right
sbm_fit_left = SBMEstimator(directed=True, loops=False)
sbm_fit_left.fit(left_graph, y=left_labels)
right_pred_mse = mse_on_other(sbm_fit_left, right_graph, right_labels)
right_pred_likelihood = likelihood_on_other(sbm_fit_left, right_graph,
right_labels)
right_pred_sc_likelihood = likelihood_on_other(
sbm_fit_left,
right_graph,
right_labels,
clip=1 / (right_graph.size - right_graph.shape[0]),
)
right_pred_dict = {
"n_params": sbm_fit_left._n_parameters(),
"mse": right_pred_mse,
"likelihood": right_pred_likelihood,
"zc_likelihood": right_pred_likelihood,
"sc_likelihood": right_pred_sc_likelihood,
}
right_pred_df = pd.DataFrame(right_pred_dict, index=[0])
print(right_pred_df)
save_obj(right_pred_df, file_obs, "right_pred_sbm_df")
# fit SBM right, predict left
sbm_fit_right = SBMEstimator(directed=True, loops=False)
sbm_fit_right.fit(right_graph, y=right_labels)
left_pred_mse = mse_on_other(sbm_fit_right, left_graph, left_labels)
left_pred_likelihood = likelihood_on_other(sbm_fit_right, left_graph,
left_labels)
left_pred_sc_likelihood = likelihood_on_other(
sbm_fit_right,
left_graph,
left_labels,
clip=1 / (left_graph.size - left_graph.shape[0]),
)
left_pred_dict = {
"n_params": sbm_fit_right._n_parameters(),
"mse": left_pred_mse,
"likelihood": left_pred_likelihood,
"zc_likelihood": left_pred_likelihood,
"sc_likelihood": left_pred_sc_likelihood,
}
left_pred_df = pd.DataFrame(left_pred_dict, index=[0])
print(left_pred_df)
save_obj(left_pred_df, file_obs, "left_pred_sbm_df")
# sbm_fit_right = SBMEstimator(directed=True, loops=False)
# sbm_fit_right.fit(right_graph, y=right_labels)
# right_b = sbm_fit_right.block_p_
# # save_obj(sbm_left_df, file_obs, "sbm_left_df")
return 0
def probplot(
adj,
labels,
log_scale=False,
figsize=(20, 20),
cmap="Purples",
title="Edge probability",
vmin=0,
vmax=None,
ax=None,
font_scale=1,
):
sbm = SBMEstimator(directed=True, loops=True)
sbm.fit(binarize(adj), y=labels)
data = sbm.block_p_
uni_labels = np.unique(labels)
cbar_kws = {"fraction": 0.08, "shrink": 0.8, "pad": 0.03}
if log_scale:
data = data + 0.001
vmin = data.min().min()
vmax = data.max().max()
log_norm = LogNorm(vmin=vmin, vmax=vmax)
cbar_ticks = [
math.pow(10, i)
for i in range(
math.floor(math.log10(data.min().min())),
1 + math.ceil(math.log10(data.max().max())),
)
]
cbar_kws["ticks"] = cbar_ticks
prob_df = pd.DataFrame(columns=uni_labels, index=uni_labels, data=data)
if ax is None:
plt.figure(figsize=figsize)
ax = plt.gca()
ax.set_title(title, pad=30, fontsize=30)
sns.set_context("talk", font_scale=font_scale)
heatmap_kws = dict(
cbar_kws=cbar_kws, annot=True, square=True, cmap=cmap, vmin=vmin, vmax=vmax
)
if log_scale:
heatmap_kws["norm"] = log_norm
if ax is not None:
heatmap_kws["ax"] = ax
ax.tick_params(axis="both", which="major", labelsize=30)
# ax.tick_params(axis="both", which="minor", labelsize=8)
ax = sns.heatmap(prob_df, **heatmap_kws)
ax.set_yticklabels(ax.get_yticklabels(), rotation=0)
return ax, prob_df
def test_SBM_nparams(self):
e = self.estimator.fit(self.graph, y=self.labels)
assert e._n_parameters() == (4)
e = SBMEstimator()
e.fit(self.graph)
assert e._n_parameters() == (4 + 1)
e = SBMEstimator(directed=False)
e.fit(self.graph)
assert e._n_parameters() == (1 + 3)
def get_sbm_prob(adj, labels):
sbm = SBMEstimator(directed=True, loops=True)
sbm.fit(binarize(adj), y=labels)
data = sbm.block_p_
uni_labels, counts = np.unique(labels, return_counts=True)
sort_inds = np.argsort(counts)[::-1]
uni_labels = uni_labels[sort_inds]
data = data[np.ix_(sort_inds, sort_inds)]
prob_df = pd.DataFrame(columns=uni_labels, index=uni_labels, data=data)
return prob_df
def test_SBM_score(self):
# tests score() and score_sample()
B = np.array([[0.75, 0.25], [0.25, 0.75]])
n_verts = 100
n = np.array([n_verts, n_verts])
tau = _n_to_labels(n)
p_mat = _block_to_full(B, tau, shape=(n_verts * 2, n_verts * 2))
graph = sample_edges(p_mat, directed=True)
estimator = SBMEstimator(max_comm=4)
_test_score(estimator, p_mat, graph)
with pytest.raises(ValueError):
estimator.score_samples(graph=graph[1:100, 1:100])
def test_SBM_fit_unsupervised(self):
np.random.seed(12345)
n_verts = 1500
B = np.array([[0.7, 0.1, 0.1], [0.1, 0.9, 0.1], [0.05, 0.1, 0.75]])
n = np.array([500, 500, 500])
labels = _n_to_labels(n)
p_mat = _block_to_full(B, labels, (n_verts, n_verts))
p_mat -= np.diag(np.diag(p_mat))
graph = sample_edges(p_mat, directed=True, loops=False)
sbe = SBMEstimator(directed=True, loops=False)
sbe.fit(graph)
assert adjusted_rand_score(labels, sbe.vertex_assignments_) > 0.95
assert_allclose(p_mat, sbe.p_mat_, atol=0.12)
def test_SBM_fit_supervised(self):
np.random.seed(8888)
B = np.array([
[0.9, 0.2, 0.05, 0.1],
[0.1, 0.7, 0.1, 0.1],
[0.2, 0.4, 0.8, 0.5],
[0.1, 0.2, 0.1, 0.7],
])
n = np.array([500, 500, 250, 250])
g = sbm(n, B, directed=True, loops=False)
sbe = SBMEstimator(directed=True, loops=False)
labels = _n_to_labels(n)
sbe.fit(g, y=labels)
B_hat = sbe.block_p_
assert_allclose(B_hat, B, atol=0.01)
def run_fit(seed, directed):
# run left
graph, labels = load_left()
print(labels)
if not directed:
graph = symmetrize(graph, method="avg")
# fit SBM
sbm = SBMEstimator(directed=True, loops=False)
sbm_left_df = fit_a_priori(sbm, graph, labels)
print(sbm_left_df["n_params"])
save_obj(sbm_left_df, file_obs, "sbm_left_df")
# fit DCSBM
dcsbm = DCSBMEstimator(directed=True, loops=False, degree_directed=False)
dcsbm_left_df = fit_a_priori(dcsbm, graph, labels)
save_obj(dcsbm_left_df, file_obs, "dcsbm_left_df")
# fit dDCSBM
ddcsbm = DCSBMEstimator(directed=True, loops=False, degree_directed=True)
ddcsbm_left_df = fit_a_priori(ddcsbm, graph, labels)
save_obj(ddcsbm_left_df, file_obs, "ddcsbm_left_df")
# run right
graph, labels = load_right()
if not directed:
graph = symmetrize(graph, method="avg")
# fit SBM
sbm = SBMEstimator(directed=True, loops=False)
sbm_right_df = fit_a_priori(sbm, graph, labels)
save_obj(sbm_right_df, file_obs, "sbm_right_df")
# fit DCSBM
dcsbm = DCSBMEstimator(directed=True, loops=False, degree_directed=False)
dcsbm_right_df = fit_a_priori(dcsbm, graph, labels)
save_obj(dcsbm_right_df, file_obs, "dcsbm_right_df")
# fit dDCSBM
ddcsbm = DCSBMEstimator(directed=True, loops=False, degree_directed=True)
ddcsbm_right_df = fit_a_priori(ddcsbm, graph, labels)
save_obj(ddcsbm_right_df, file_obs, "ddcsbm_right_df")
return 0
def setup_class(cls):
estimator = SBMEstimator(directed=True, loops=False)
B = np.array([[0.9, 0.1], [0.1, 0.9]])
g = sbm([50, 50], B, directed=True)
labels = _n_to_labels([50, 50])
p_mat = _block_to_full(B, labels, (100, 100))
p_mat -= np.diag(np.diag(p_mat))
cls.estimator = estimator
cls.p_mat = p_mat
cls.graph = g
cls.labels = labels
def get_sbm_prob(adj, labels):
uni_labels, counts = np.unique(labels, return_counts=True)
label_map = dict(zip(uni_labels, range(len(uni_labels))))
y = np.array(itemgetter(*labels)(label_map))
sbm = SBMEstimator(directed=True, loops=True)
sbm.fit(binarize(adj), y=y)
data = sbm.block_p_
sort_inds = np.argsort(counts)[::-1]
uni_labels = uni_labels[sort_inds]
data = data[np.ix_(sort_inds, sort_inds)]
prob_df = pd.DataFrame(columns=uni_labels, index=uni_labels, data=data)
return prob_df
#%%
from graspy.models import SBMEstimator
from src.data import load_new_left
from graspy.plot import heatmap
import numpy as np
adj, labels = load_new_left()
sbm = SBMEstimator(loops=False, co_block=False)
sbm.fit(adj, y=labels)
heatmap(sbm.p_mat_, inner_hier_labels=labels, vmin=0, vmax=1)
#%%
co_labels = np.stack((labels, labels), axis=1).astype("U3")
for i, row in enumerate(co_labels):
if row[1] == "O" or row[1] == "I":
co_labels[i, 1] = "O/I"
co_labels
#%%
cosbm = SBMEstimator(loops=False, co_block=True)
cosbm.fit(adj, y=co_labels)
heatmap(cosbm.p_mat_, inner_hier_labels=labels)
#%%
ax = axs[0, level]
_, _, top, _ = adjplot(
binarize(full_adj),
sizes=(0.5, 0.5),
ax=ax,
plot_type="scattermap",
sort_class=["hemisphere"] + level_names[:level + 1],
item_order=["merge_class_sf_order", "merge_class", "sf"],
class_order="sf",
meta=meta,
palette=CLASS_COLOR_DICT,
colors="merge_class",
ticks=False,
gridline_kws=dict(linewidth=0.05, color="grey", linestyle="--"),
)
sbm = SBMEstimator(directed=True, loops=True)
labels, inv = np.unique(full_meta[label_name].values, return_inverse=True)
sbm.fit(binarize(full_adj), inv)
ax = axs[1, level]
_, _, top, _ = adjplot(
sbm.p_mat_,
ax=ax,
plot_type="heatmap",
sort_class=["hemisphere"] + level_names[:level + 1],
item_order=["merge_class_sf_order", "merge_class", "sf"],
class_order="sf",
meta=meta,
palette=CLASS_COLOR_DICT,
colors="merge_class",
ticks=False,
gridline_kws=dict(linewidth=0.05, color="grey", linestyle="--"),
def select_sbm(
graph,
param_grid,
directed=True,
co_block=False,
metric="mse",
c=0,
rank="full",
n_jobs=1,
n_init=1,
):
"""sweeps over n_components, n_blocks, fits an sbm for each
Using GaussianCluster, so will internally sweep covariance structure and pick best
Returns n_params for the gaussian
N_params for the sbm kinda
rss
score
Maybe at some point this will sweep rank of B
Parameters
----------
graph : [type]
[description]
n_block_try_range : [type]
[description]
n_components_try_range : [type]
[description]
directed : bool, optional
[description], by default False
"""
# common parameters of all estimators
sbm = SBMEstimator(directed=directed,
loops=False,
co_block=co_block,
metric=metric,
rank=rank)
# define scoring functions to evaluate models
scorers = gen_scorers(sbm, graph)
# run the grid search
grid_search = GridSearchUS(
sbm,
param_grid,
scoring=scorers,
n_jobs=n_jobs,
verbose=0,
refit=False,
n_init=n_init,
)
grid_search.fit(graph)
out_df = grid_search.cv_results_
# out_df["param_regularizer"] = [
# v["regularizer"] for v in out_df["param_embed_kws"].values
# ]
# out_dict = {}
# for i, n_components_try in enumerate(n_components_try_range):
# for j, n_block_try in enumerate(n_block_try_range):
# # check special case for ER, don't need to cluster
# if n_block_try == 1:
# vertex_assignments = np.zeros(graph.shape[0])
# n_params_gmm = 1
# else:
# vertex_assignments, n_params_gmm = estimate_assignments(
# graph, n_block_try, n_components_try, method=method, metric=metric
# )
# if rank == "sweep":
# rank_try_range = list(range(1, n_block_try + 1))
# else:
# rank_try_range = [n_block_try]
# for k, rank_try in enumerate(rank_try_range):
# ind = i * len(n_block_try_range) + j * len(rank_try_range) + k
# estimator = SBMEstimator(directed=directed, loops=False, rank=rank_try)
# estimator.fit(graph, y=vertex_assignments)
# rss = compute_rss(estimator, graph)
# mse = compute_mse(estimator, graph)
# score = np.sum(estimator.score_samples(graph, clip=c))
# n_params_sbm = estimator._n_parameters()
# # account for the estimated positions
# if type(estimator) == SBMEstimator:
# n_params_sbm += estimator.block_p_.shape[0] - 1
# out_dict[ind] = {
# "n_params_gmm": n_params_gmm,
# "n_params_sbm": n_params_sbm,
# "rss": rss,
# "mse": mse,
# "score": score,
# "n_components_try": n_components_try,
# "n_block_try": n_block_try,
# "rank_try": rank_try,
# }
# out_df = pd.DataFrame.from_dict(out_dict, orient="index")
return out_df
# GMM likelihood
score = gmm.model_.score(latent)
temp_dict = base_dict.copy()
temp_dict["Metric"] = "GMM likelihood"
temp_dict["Score"] = score
out_dicts.append(temp_dict)
# GMM BIC
score = gmm.model_.bic(latent)
temp_dict = base_dict.copy()
temp_dict["Metric"] = "GMM BIC"
temp_dict["Score"] = score
out_dicts.append(temp_dict)
# SBM likelihood
sbm = SBMEstimator(directed=True, loops=False)
sbm.fit(bin_adj, y=pred_labels)
score = sbm.score(bin_adj)
temp_dict = base_dict.copy()
temp_dict["Metric"] = "SBM likelihood"
temp_dict["Score"] = score
out_dicts.append(temp_dict)
# DCSBM likelihood
dcsbm = DCSBMEstimator(directed=True, loops=False)
dcsbm.fit(bin_adj, y=pred_labels)
score = dcsbm.score(bin_adj)
temp_dict = base_dict.copy()
temp_dict["Metric"] = "DCSBM likelihood"
temp_dict["Score"] = score
out_dicts.append(temp_dict)
class_labels = class_labels[not_pendant_inds]
skeleton_labels = skeleton_labels[not_pendant_inds]
file_loc = "maggot_models/notebooks/outs/39.2-BDP-unbiased-clustering/objs/gmm-k18-AutoGMM-LSE-right-ad-PTR-raw.pickle"
gmm = pickle.load(open(file_loc, "rb"))
# # %% [markdown]
# # #
node_signal_flow = signal_flow(adj)
mean_sf = np.zeros(k)
for i in np.unique(pred_labels):
inds = np.where(pred_labels == i)[0]
mean_sf[i] = np.mean(node_signal_flow[inds])
cluster_mean_latent = gmm.model_.means_[:, 0]
block_probs = SBMEstimator().fit(bin_adj, y=pred_labels).block_p_
block_prob_df = pd.DataFrame(data=block_probs,
index=range(k),
columns=range(k))
block_g = nx.from_pandas_adjacency(block_prob_df, create_using=nx.DiGraph)
plt.figure(figsize=(10, 10))
# don't ever let em tell you you're too pythonic
pos = dict(zip(range(k), zip(cluster_mean_latent, mean_sf)))
# nx.draw_networkx_nodes(block_g, pos=pos)
labels = nx.get_edge_attributes(block_g, "weight")
# nx.draw_networkx_edge_labels(block_g, pos, edge_labels=labels)
from matplotlib.cm import ScalarMappable
import matplotlib as mpl
norm = mpl.colors.LogNorm(vmin=0.01, vmax=0.1)
#%%
import matplotlib.pyplot as plt
import matplotlib as mpl
import numpy as np
from graspy.models import DCSBMEstimator, RDPGEstimator, SBMEstimator
from graspy.plot import heatmap
from src.data import load_right
# Load data
right_adj, right_labels = load_right()
# Fit the models
sbm = SBMEstimator(directed=True, loops=False)
sbm.fit(right_adj, y=right_labels)
dcsbm = DCSBMEstimator(degree_directed=False, directed=True, loops=False)
dcsbm.fit(right_adj, y=right_labels)
rdpg = RDPGEstimator(loops=False, n_components=3)
rdpg.fit(right_adj)
# Plotting
np.random.seed(8888)
cmap = mpl.cm.get_cmap("RdBu_r")
center = 0
vmin = 0
vmax = 1
norm = mpl.colors.Normalize(0, 1)
hue="n_block_try",
palette=cmap,
**plt_kws,
)
plt.xlabel("# Params (SBM params for SBMs)")
plt.ylabel("MSE")
plt.title(f"Drosophila old MB left, directed ({experiment}:{run})")
plt.savefig(save_dir / "rank_sbm_Klines.pdf", format="pdf", facecolor="w")
#%%
from graspy.models import SBMEstimator
from graspy.datasets import load_drosophila_left, load_drosophila_right
from graspy.utils import binarize
sbm = SBMEstimator(directed=True, loops=False)
left_adj, left_labels = load_drosophila_left(return_labels=True)
left_adj = binarize(left_adj)
sbm.fit(left_adj, y=left_labels)
sbm.mse(left_adj)
sbm._n_parameters()
right_adj, right_labels = load_drosophila_right(return_labels=True)
er = SBMEstimator(directed=True, loops=False, n_blocks=2)
er.fit(left_adj)
er.mse(left_adj)
heatmap(left_adj,
inner_hier_labels=er.vertex_assignments_,
outer_hier_labels=left_labels)
#%%
sharex=True,
)
fg = fg.map(sns.distplot, "Signal flow")
fg.set(yticks=())
stashfig("sf-dists-separate")
fg = sns.FacetGrid(total_df,
col="Input",
aspect=2,
hue="Block",
margin_titles=True,
sharex=True)
fg = fg.map(sns.distplot, "Signal flow")
fg.add_legend()
fg.set(yticks=())
stashfig("sf-dists-squished")
# %%
from graspy.models import SBMEstimator
sbm = SBMEstimator()
sbm.fit(A)
B_hat = sbm.block_p_
sns.heatmap(B_hat)
z = signal_flow(B_hat)
sort_inds = np.argsort(z)[::-1]
plt.figure()
sns.heatmap(B_hat[np.ix_(sort_inds, sort_inds)])
# %% [markdown]
# ##
from graspy.models import SBMEstimator
level = 2
n_row = 3
n_col = 7
scale = 10
fig, axs = plt.subplots(n_row, n_col, figsize=(n_row * scale, n_col * scale))
for level in range(8):
label_name = f"lvl{level}_labels_side"
sbm = SBMEstimator(directed=True, loops=True)
sbm.fit(binarize(full_adj), full_meta[label_name].values)
ax = axs[1, level]
_, _, top, _ = adjplot(
sbm.p_mat_,
ax=ax,
plot_type="heatmap",
sort_class=["hemisphere"] + level_names[: level + 1],
item_order=["merge_class_sf_order", "merge_class", "sf"],
class_order="sf",
meta=full_mg.meta,
palette=CLASS_COLOR_DICT,
colors="merge_class",
ticks=False,
gridline_kws=dict(linewidth=0.05, color="grey", linestyle="--"),
cbar_kws=dict(shrink=0.6),
plt.style.use("seaborn-white")
right_graph, right_labels = load_right()
np.random.seed(8888)
n_init = 200
clip = 1 / (right_graph.size - right_graph.shape[0])
heatmap_kws = dict(vmin=0,
vmax=1,
font_scale=1.5,
hier_label_fontsize=20,
cbar=False)
fig, ax = plt.subplots(4, 2, figsize=(15, 30))
# A priori SBM
ap_estimator = SBMEstimator()
ap_estimator.fit(right_graph, y=right_labels)
lik = ap_estimator.score(right_graph, clip=clip)
heatmap(
right_graph,
inner_hier_labels=right_labels,
title="Right MB (by cell type)",
ax=ax[0, 0],
**heatmap_kws,
)
heatmap(
ap_estimator.p_mat_,
inner_hier_labels=right_labels,
title=f"A priori SBM, lik = {lik:.2f}",
# GMM likelihood
score = gmm.model_.score(latent)
temp_dict = base_dict.copy()
temp_dict["Metric"] = "GMM likelihood"
temp_dict["Score"] = score
out_dicts.append(temp_dict)
# GMM BIC
score = gmm.model_.bic(latent)
temp_dict = base_dict.copy()
temp_dict["Metric"] = "GMM BIC"
temp_dict["Score"] = score
out_dicts.append(temp_dict)
# SBM likelihood
sbm = SBMEstimator(directed=True, loops=False)
sbm.fit(bin_adj, y=pred_labels)
score = sbm.score(bin_adj)
temp_dict = base_dict.copy()
temp_dict["Metric"] = "SBM likelihood"
temp_dict["Score"] = score
out_dicts.append(temp_dict)
# DCSBM likelihood
dcsbm = DCSBMEstimator(directed=True, loops=False)
dcsbm.fit(bin_adj, y=pred_labels)
score = dcsbm.score(bin_adj)
temp_dict = base_dict.copy()
temp_dict["Metric"] = "DCSBM likelihood"
temp_dict["Score"] = score
out_dicts.append(temp_dict)
def test_SBM_inputs(self):
with pytest.raises(TypeError):
SBMEstimator(directed="hey")
with pytest.raises(TypeError):
SBMEstimator(loops=6)
with pytest.raises(TypeError):
SBMEstimator(n_components="XD")
with pytest.raises(ValueError):
SBMEstimator(n_components=-1)
with pytest.raises(TypeError):
SBMEstimator(min_comm="1")
with pytest.raises(ValueError):
SBMEstimator(min_comm=-1)
with pytest.raises(TypeError):
SBMEstimator(max_comm="ay")
with pytest.raises(ValueError):
SBMEstimator(max_comm=-1)
with pytest.raises(ValueError):
SBMEstimator(min_comm=4, max_comm=2)
graph = er_np(100, 0.5)
bad_y = np.zeros(99)
sbe = SBMEstimator()
with pytest.raises(ValueError):
sbe.fit(graph, y=bad_y)
with pytest.raises(ValueError):
sbe.fit(graph[:, :99])
with pytest.raises(ValueError):
sbe.fit(graph[..., np.newaxis])
with pytest.raises(TypeError):
SBMEstimator(cluster_kws=1)
with pytest.raises(TypeError):
SBMEstimator(embed_kws=1)
adj,
cbar=False,
title="Adjacency matrix",
inner_hier_labels=labels,
sort_nodes=True,
hier_label_fontsize=16,
)
mean_degree = np.mean(np.sum(adj, axis=0))
print(f"Mean degree: {mean_degree:.3f}")
# %% [markdown]
# ## Double checking the model parameters
# Below is a quick sanity check that the graph we sampled has block probabilities that are
# close to what we set originally if we undo the rescaling step.
# %% double checking on model params
sbme = SBMEstimator(directed=False, loops=False)
sbme.fit(adj, y=labels)
block_p_hat = sbme.block_p_
block_heatmap(block_p_hat, title=r"Observed $\hat{B}$")
block_p_hat_unscaled = block_p_hat * 1 / scaling_factor
block_heatmap(block_p_hat_unscaled, title=r"Observed $\hat{B}$ (unscaled)")
# %% [markdown]
# ## Spectral embedding
# Here I use graspy to do ASE, LSE, and regularized LSE. Note that we're just using the
# SVDs here. There is an option on whether to throw out the first eigenvector.
#%% embeddings
embed_kws = dict(n_components=k + 1, algorithm="full", check_lcc=False)
ase = AdjacencySpectralEmbed(**embed_kws)
lse = LaplacianSpectralEmbed(form="DAD", **embed_kws)
rlse = LaplacianSpectralEmbed(form="R-DAD", **embed_kws)
vmax=1,
font_scale=1.5,
title="DCER probability matrix",
sort_nodes=True)
plt.savefig("DCERProbabilityMatrix", bbox_inches='tight')
heatmap(dcer.sample()[0],
inner_hier_labels=labels,
font_scale=1.5,
title="DCER sample",
sort_nodes=True)
plt.savefig("DCERSample", bbox_inches='tight')
sbme = SBMEstimator(directed=True,loops=False)
sbme.fit(adj, y=labels)
print("SBM \"B\" matrix:")
print(sbme.block_p_)
heatmap(sbme.p_mat_,
inner_hier_labels=labels,
vmin=0,
vmax=1,
font_scale=1.5,
title="SBM probability matrix",
sort_nodes=True)
plt.savefig("SBMProbabilityMatrix", bbox_inches='tight')
heatmap(sbme.sample()[0],
inner_hier_labels=labels,