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notebooks / diffusion_bias_utils.py
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from glob import glob
from os.path import join as pjoin
import numpy as np
import pandas as pd
import plotly.express as px
import plotly.graph_objects as go
import torch
import umap.umap_ as umap
from PIL import Image
from scipy.cluster.hierarchy import dendrogram, linkage
from scipy.spatial.distance import squareform
from sklearn.preprocessing import normalize
from tqdm import tqdm
###
# Get text embeddings from sentence-transformers model
###
def sentence_mean_pooling(model_output, attention_mask):
token_embeddings = model_output[
0
] # First element of model_output contains all token embeddings
input_mask_expanded = (
attention_mask.unsqueeze(-1).expand(token_embeddings.size()).float()
)
return torch.sum(token_embeddings * input_mask_expanded, 1) / torch.clamp(
input_mask_expanded.sum(1), min=1e-9
)
def compute_text_embeddings(sentences, text_tokenizer, text_model):
batch = text_tokenizer(
sentences, padding=True, truncation=True, return_tensors="pt"
)
with torch.no_grad():
model_output = text_model(**batch)
sentence_embeds = sentence_mean_pooling(model_output, batch["attention_mask"])
sentence_embeds /= sentence_embeds.norm(dim=-1, keepdim=True)
return sentence_embeds
###
# Get image embeddings from BLIP VQA models
###
# returns the average pixel embedding from the last layer of the image encoder
def get_compute_image_embedding_blip_vqa_pixels(
img, blip_processor, blip_model, device="cpu"
):
pixel_values = blip_processor(img, "", return_tensors="pt")["pixel_values"].to(
device
)
with torch.no_grad():
vision_outputs = blip_model.vision_model(
pixel_values=pixel_values,
output_hidden_states=True,
)
image_embeds = vision_outputs[0].sum(dim=1).squeeze()
image_embeds /= image_embeds.norm()
return image_embeds.detach().cpu().numpy()
# returns the average token embedding from the question encoder (conditioned on the image) along with the generated answer
# adapted from:
# https://github.com/huggingface/transformers/blob/2411f0e465e761790879e605a4256f3d4afb7f82/src/transformers/models/blip/modeling_blip.py#L1225
def get_compute_image_embedding_blip_vqa_question(
img, blip_processor, blip_model, question=None, device="cpu"
):
question = "what word best describes this person?" if question is None else question
inputs = blip_processor(img, question, return_tensors="pt")
with torch.no_grad():
# make question embeddings
vision_outputs = blip_model.vision_model(
pixel_values=inputs["pixel_values"].to(device),
output_hidden_states=True,
)
image_embeds = vision_outputs[0]
image_attention_mask = torch.ones(image_embeds.size()[:-1], dtype=torch.long)
question_embeds = blip_model.text_encoder(
input_ids=inputs["input_ids"].to(device),
attention_mask=inputs["attention_mask"].to(device),
encoder_hidden_states=image_embeds,
encoder_attention_mask=image_attention_mask,
return_dict=False,
)
question_embeds = question_embeds[0]
# generate outputs
question_attention_mask = torch.ones(
question_embeds.size()[:-1], dtype=torch.long
).to(question_embeds.device)
bos_ids = torch.full(
(question_embeds.size(0), 1),
fill_value=blip_model.decoder_bos_token_id,
device=question_embeds.device,
)
outputs = blip_model.text_decoder.generate(
input_ids=bos_ids,
eos_token_id=blip_model.config.text_config.sep_token_id,
pad_token_id=blip_model.config.text_config.pad_token_id,
encoder_hidden_states=question_embeds,
encoder_attention_mask=question_attention_mask,
# **generate_kwargs,
)
answer = blip_processor.decode(outputs[0], skip_special_tokens=True)
# average and normalize question embeddings
res_question_embeds = question_embeds.sum(dim=1).squeeze()
res_question_embeds /= res_question_embeds.norm()
res_question_embeds = res_question_embeds.detach().cpu().numpy()
return (res_question_embeds, answer)
###
# Plotting utilities: 2D and 3D projection + scatter plots
###
def make_2d_plot(embeds, text_list, color_list=None, shape_list=None, umap_spread=10):
# default color and shape
color_list = [0 for _ in text_list] if color_list is None else color_list
shape_list = ["circle" for _ in text_list] if shape_list is None else shape_list
# project to 2D
fit = umap.UMAP(
metric="cosine",
n_neighbors=len(embeds) - 1,
min_dist=1,
n_components=2,
spread=umap_spread,
)
u = fit.fit_transform(embeds)
fig = go.Figure()
fig.add_trace(
go.Scatter(
x=u[:, 0].tolist(),
y=u[:, 1].tolist(),
mode="markers",
name="nodes",
marker=dict(
symbol=shape_list,
color=color_list,
),
text=text_list,
hoverinfo="text",
marker_line_color="midnightblue",
marker_line_width=2,
marker_size=10,
opacity=0.8,
)
)
fig.update_yaxes(
scaleanchor="x",
scaleratio=1,
)
fig.update_layout(
autosize=False,
width=800,
height=800,
)
fig.layout.showlegend = False
return fig
def make_3d_plot(embeds, text_list, color_list=None, shape_list=None, umap_spread=10):
# default color and shape
color_list = [0 for _ in text_list] if color_list is None else color_list
shape_list = ["circle" for _ in text_list] if shape_list is None else shape_list
# project to 3D
fit = umap.UMAP(
metric="cosine",
n_neighbors=len(embeds) - 1,
min_dist=1,
n_components=3,
spread=umap_spread,
)
u = fit.fit_transform(embeds)
# make nodes
df = pd.DataFrame(
{
"x": u[:, 0].tolist(),
"y": u[:, 1].tolist(),
"z": u[:, 2].tolist(),
"color": color_list,
"hover": text_list,
"symbol": shape_list,
"size": [5 for _ in text_list],
}
)
fig = px.scatter_3d(
df,
x="x",
y="y",
z="z",
color="color",
symbol="symbol",
size="size",
hover_data={
"hover": True,
"x": False,
"y": False,
"z": False,
"color": False,
"symbol": False,
"size": False,
},
)
fig.layout.showlegend = False
return fig
###
# Plotting utilities: cluster re-ordering and heatmaps
###
### Some utility functions to get the similarities between two lists of arrays
# average pairwise similarity
def sim_pairwise_avg(vecs_1, vecs_2):
res = np.matmul(np.array(vecs_1), np.array(vecs_2).transpose()).mean()
return res
# distance between (normalized) centroids
def sim_centroids(vecs_1, vecs_2):
res = np.dot(
normalize(np.array(vecs_1).mean(axis=0, keepdims=True), norm="l2")[0],
normalize(np.array(vecs_2).mean(axis=0, keepdims=True), norm="l2")[0],
)
return res
# distance to nearest neighbot/examplar
def sim_pairwise_examplar(vecs_1, vecs_2):
res = np.matmul(np.array(vecs_1), np.array(vecs_2).transpose()).max()
return res
# To make pretty heatmaps, similar rows need to be close to each other
# we achieve that by computing a hierarchical clustering of the points
# then ordering the items as the leaves of a dendrogram
def get_cluster_order(similarity_matrix, label_names=None):
label_names = (
["" for _ in range(similarity_matrix.shape[0])]
if label_names is None
else label_names
)
dissimilarity = 1 - similarity_matrix
np.fill_diagonal(dissimilarity, 0.0)
# checks = False because similarity checks can fail for torch to numpy conversion
Z = linkage(squareform(dissimilarity, checks=False), "average")
# no_plot when inside a function call required because of jupyter/matplotlib issue
ddgr = dendrogram(
Z, labels=label_names, orientation="top", leaf_rotation=90, no_plot=True
)
cluster_order = ddgr["leaves"]
return cluster_order
# then make heat map from similarity matrix
def make_heat_map(sim_matrix, labels_x, labels_y, scale=25):
fig = go.Figure(
data=go.Heatmap(z=sim_matrix, x=labels_x, y=labels_y, hoverongaps=False)
)
fig.update_yaxes(
scaleanchor="x",
scaleratio=1,
)
fig.update_layout(
autosize=False,
width=scale * len(labels_x),
height=scale * len(labels_y),
)
fig.layout.showlegend = False
return fig
# bring things together for a square heatmap
def build_heat_map_square(
img_list, embed_field, sim_fun, label_list, row_order=None, hm_scale=20
):
sim_mat = np.zeros((len(img_list), len(img_list)))
for i, dct_i in enumerate(img_list):
for j, dct_j in enumerate(img_list):
sim_mat[i, j] = sim_fun(dct_i[embed_field], dct_j[embed_field])
# optionally reorder labels and similarity matrix to be prettier
if row_order is None:
row_order = get_cluster_order(sim_mat)
labels_sorted = [label_list[i] for i in row_order]
sim_mat_sorted = sim_mat[np.ix_(row_order, row_order)]
# make heatmap from similarity matrix
heatmap_fig = make_heat_map(
sim_mat_sorted, labels_sorted, labels_sorted, scale=hm_scale
)
return heatmap_fig
# bring things together for a rectangle heatmap: across lists
def build_heat_map_rect(
img_list_rows,
img_list_cols,
label_list_rows,
label_list_cols,
embed_field,
sim_fun,
center=False,
temperature=5,
hm_scale=20,
):
sim_mat = np.zeros((len(img_list_rows), len(img_list_cols)))
for i, dct_i in enumerate(img_list_rows):
for j, dct_j in enumerate(img_list_cols):
sim_mat[i, j] = sim_fun(dct_i[embed_field], dct_j[embed_field])
# normalize and substract mean
sim_mat_exp = np.exp(temperature * sim_mat)
sim_mat_exp /= sim_mat_exp.sum(axis=1, keepdims=1)
if center:
sim_mat_exp_avg = sim_mat_exp.mean(axis=0, keepdims=1)
sim_mat_exp -= sim_mat_exp_avg
sim_mat_exp_avg = sim_mat_exp_avg * sim_mat_exp.max() / sim_mat_exp_avg.max()
# rows are reordered by decreasing norm,
sim_mat_norm = np.sum(sim_mat_exp * sim_mat_exp, axis=1)
row_order = np.argsort(sim_mat_norm, axis=-1)
row_labels_sorted = [label_list_rows[i] for i in row_order]
if center:
# columns are ordered by bias
col_order = np.argsort(sim_mat_exp_avg.sum(axis=0), axis=-1)
else:
# columns sre reordered by similarity
sim_mat_exp_norm = normalize(sim_mat_exp, axis=0, norm="l2")
cluster_cols_sim_mat = np.matmul(sim_mat_exp_norm.transpose(), sim_mat_exp_norm)
col_order = get_cluster_order(cluster_cols_sim_mat)
col_labels_sorted = [label_list_cols[i] for i in col_order]
# make heatmap from similarity matrix
if center:
row_order = list(row_order) + [len(row_order), len(row_order) + 1]
row_labels_sorted = row_labels_sorted + ["_", "AVERAGE"]
sim_mat_exp = np.concatenate(
[sim_mat_exp, np.zeros_like(sim_mat_exp_avg), sim_mat_exp_avg], axis=0
)
sim_mat_exp_sorted = sim_mat_exp[np.ix_(row_order, col_order)]
heatmap_fig = make_heat_map(
sim_mat_exp_sorted, col_labels_sorted, row_labels_sorted, scale=hm_scale
)
return heatmap_fig