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main.py
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1092 lines (947 loc) · 37.6 KB
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import numpy as np
from bokeh.layouts import column
from bokeh.plotting import figure, output_file, save
from loguru import logger
from scipy import stats
from scipy.stats import gamma, gaussian_kde, kstest, ttest_ind
from utilities import (
create_vad_tensors,
load_data_from_json,
load_mp3_as_tensors,
load_vad_files,
)
from vap.turntaking_events import TurnTakingEvents
def stat_test(target1, target2):
target1_silence_ratio = sum([1 for shift in target1 if shift > 0]) / len(target1)
target1_overlap_ratio = 1 - target1_silence_ratio
target2_silence_ratio = sum([1 for shift in target2 if shift > 0]) / len(target2)
target2_overlap_ratio = 1 - target2_silence_ratio
logger.info(f"target1 turn shifts num.: {len(target1)}")
logger.info(f"target1 turn shift max: {max(target1)}")
logger.info(f"target1 turn shift min: {min(target1)}")
logger.info(f"target1 turn shift 1st quartile: {np.percentile(target1, 25)}")
logger.info(f"target1 turn shift 3rd quartile: {np.percentile(target1, 75)}")
logger.info(f"target1 turn shift mean: {np.mean(target1)}")
logger.info(f"target1 turn shift median: {np.median(target1)}")
logger.info(f"target1 turn shift variance: {np.var(target1)}")
logger.info(f"target1 silence ratio: {target1_silence_ratio}")
logger.info(f"target1 overlap ratio: {target1_overlap_ratio}")
logger.info(f"target2 turn shifts num.: {len(target2)}")
logger.info(f"target2 turn shift max: {max(target2)}")
logger.info(f"target2 turn shift min: {min(target2)}")
logger.info(f"target2 turn shift 1st quartile: {np.percentile(target2, 25)}")
logger.info(f"target2 turn shift 3rd quartile: {np.percentile(target2, 75)}")
logger.info(f"target2 turn shift mean: {np.mean(target2)}")
logger.info(f"target2 turn shift median: {np.median(target2)}")
logger.info(f"target2 turn shift variance: {np.var(target2)}")
logger.info(f"target2 silence ratio: {target2_silence_ratio}")
logger.info(f"target2 overlap ratio: {target2_overlap_ratio}")
target1_normality_p = stats.shapiro(target1).pvalue
target2_normality_p = stats.shapiro(target2).pvalue
logger.info(f"target1 normality test p-value: {target1_normality_p}")
logger.info(f"target2 normality test p-value: {target2_normality_p}")
# 分布の比較(正規分布であるかによる条件分岐)
if target1_normality_p > 0.05 and target2_normality_p > 0.05:
# 両グループが正規分布に従う場合:t検定
t_stat, p_value, df = ttest_ind(target1, target2, usevar="unequal")
logger.info(f"T-test p-value: {p_value}")
else:
# 正規分布でない場合:Mann-Whitney U検定
u_stat, p_value = stats.mannwhitneyu(target1, target2)
logger.info(f"Mann-Whitney U test p-value: {p_value}")
# 効果量の計算 (Cohen's d)
cohen_d = (np.mean(target1) - np.mean(target2)) / np.sqrt(
(np.var(target1) + np.var(target2)) / 2
)
logger.info(f"Cohen's d: {cohen_d}")
def plot_turn_shift_distribution(shift_durations, title):
"""
ターンシフトの分布をbokehで描画する関数
"""
hist, edges = np.histogram(
shift_durations, bins=np.arange(-4.0, 4.2, 0.2)
) # 0.2秒間隔のbin
p = figure(
title=title,
x_axis_label="Turn Shift Duration (s)",
y_axis_label="Probability Density",
width=800,
height=600,
x_range=(-4, 4),
)
p.quad(
top=hist,
bottom=0,
left=edges[:-1],
right=edges[1:],
line_color="white",
alpha=0.7,
)
return p
def analysis_pesonal():
data = load_data_from_json("data.json")
personal_dict = {}
# 統計情報をファイルごとに計算
for d in data:
user0_vad, user1_vad = load_vad_files(d["audio_dir"])
vad_tensor = create_vad_tensors(
user0_vad, user1_vad
) # [(発話開始時刻(秒), 発話終了時刻(秒)), ...]
TTE = TurnTakingEvents(
vad_tensor,
frame_rate=100,
pre_offset_shift=0.3,
post_onset_shift=0.3,
pre_offset_hold=0.3,
post_onset_hold=0.3,
min_silence=0.0,
pre_silence=1.0,
post_silence=2.0,
backchannel_threshold=1.0,
)
turntaking_events = TTE.get_turntaking_events()
expert_id = d["expert_user"]["id"]
novice_id = d["novice_user"]["id"]
if expert_id not in personal_dict:
personal_dict[expert_id] = []
if novice_id not in personal_dict:
personal_dict[novice_id] = []
# Expert (user1 -> user0 のターンシフト)
for start, end in turntaking_events["turn_shift_silence_user1_to_user0"]:
personal_dict[expert_id].append((end - start) / 100.0) # 100 Hz -> 秒
for start, end in turntaking_events["turn_shift_overlap_user1_to_user0"]:
personal_dict[expert_id].append(-(end - start) / 100.0) # 100 Hz -> 秒
# Novice (user0 -> user1 のターンシフト)
for start, end in turntaking_events["turn_shift_silence_user0_to_user1"]:
personal_dict[novice_id].append((end - start) / 100.0) # 100 Hz -> 秒
for start, end in turntaking_events["turn_shift_overlap_user0_to_user1"]:
personal_dict[novice_id].append(-(end - start) / 100.0) # 100 Hz -> 秒
plots = []
output_file("output/turn_shift_statistics_personal.html")
for user_id, turn_shifts in personal_dict.items():
silence_ratio = sum([1 for shift in turn_shifts if shift > 0]) / len(
turn_shifts
)
overlap_ratio = 1 - silence_ratio
plots.append(
plot_turn_shift_distribution(
turn_shifts, f"Turn Shift Distribution (user_id={user_id})"
)
)
# 統計情報の出力
logger.info(f"User ID: {user_id}")
logger.info(f"Turn shifts num.: {len(turn_shifts)}")
logger.info(f"Turn shift mean: {np.mean(turn_shifts)}")
logger.info(f"Turn shift median: {np.median(turn_shifts)}")
logger.info(f"Turn shift variance: {np.var(turn_shifts)}")
logger.info(f"Silence ratio: {silence_ratio}")
logger.info(f"Overlap ratio: {overlap_ratio}")
save(column(*plots))
"""
高外向性に分類されるユーザID: 1, 2, 10, 12, 13, 16, 18, 19, 20
中外向性に分類されるユーザID: 6, 14, 15
低外向性に分類されるユーザID: 3, 4, 5, 7, 8, 9, 11, 17
"""
high_extroversion = []
low_extroversion = []
middle_extroversion = []
for user_id, turn_shifts in personal_dict.items():
if user_id in [1, 2, 10, 12, 13, 16, 18, 19, 20]:
high_extroversion.extend(turn_shifts)
elif user_id in [3, 4, 5, 7, 8, 9, 11, 17]:
low_extroversion.extend(turn_shifts)
else:
middle_extroversion.extend(turn_shifts)
logger.info("Extroversion, target1: high, target2: low")
stat_test(high_extroversion, low_extroversion)
"""
高開放性に分類されるユーザID: 1, 2, 3, 4, 5, 6, 7, 8, 10, 11, 12, 14, 15, 17, 18, 19
中開放性に分類されるユーザID: 16, 20
低開放性に分類されるユーザID: 9, 13
"""
high_openness = []
low_openness = []
middle_openness = []
for user_id, turn_shifts in personal_dict.items():
if user_id in [1, 2, 3, 4, 5, 6, 7, 8, 10, 11, 12, 14, 15, 17, 18, 19]:
high_openness.extend(turn_shifts)
elif user_id in [16, 20]:
middle_openness.extend(turn_shifts)
else:
low_openness.extend(turn_shifts)
logger.info("Openness, target1: high, target2: low")
stat_test(high_openness, low_openness)
"""
高協調性に分類されるユーザID: 1, 4, 5, 10, 13, 14, 15, 16, 17, 18, 20
中協調性に分類されるユーザID: 2, 3, 6, 7, 8, 9
低協調性に分類されるユーザID: 11, 12, 19
"""
high_agreeableness = []
low_agreeableness = []
middle_agreeableness = []
for user_id, turn_shifts in personal_dict.items():
if user_id in [1, 4, 5, 10, 13, 14, 15, 16, 17, 18, 20]:
high_agreeableness.extend(turn_shifts)
elif user_id in [2, 3, 6, 7, 8, 9]:
middle_agreeableness.extend(turn_shifts)
else:
low_agreeableness.extend(turn_shifts)
logger.info("Agreeableness, target1: high, target2: low")
stat_test(high_agreeableness, low_agreeableness)
"""
高勤勉性に分類されるユーザID: 4, 10, 17
中勤勉性に分類されるユーザID: 2, 12, 18, 19, 20
低勤勉性に分類されるユーザID: 1, 3, 5, 6, 7, 8, 9, 11, 13, 14, 15, 16
"""
high_conscientiousness = []
low_conscientiousness = []
middle_conscientiousness = []
for user_id, turn_shifts in personal_dict.items():
if user_id in [4, 10, 17]:
high_conscientiousness.extend(turn_shifts)
elif user_id in [2, 12, 18, 19, 20]:
middle_conscientiousness.extend(turn_shifts)
else:
low_conscientiousness.extend(turn_shifts)
logger.info("Conscientiousness, target1: high, target2: low")
stat_test(high_conscientiousness, low_conscientiousness)
"""
高神経症傾向に分類されるユーザID: 3, 4, 5, 6, 7, 8, 10, 11, 14, 17, 18, 20
低神経症傾向に分類されるユーザID: 1, 2, 9, 12, 13, 15, 16, 19
"""
high_neuroticism = []
low_neuroticism = []
for user_id, turn_shifts in personal_dict.items():
if user_id in [3, 4, 5, 6, 7, 8, 10, 11, 14, 17, 18, 20]:
high_neuroticism.extend(turn_shifts)
else:
low_neuroticism.extend(turn_shifts)
logger.info("Neuroticism, target1: high, target2: low")
stat_test(high_neuroticism, low_neuroticism)
plots = []
output_file("output/turn_shift_statistics_BIG5.html")
plots.append(
plot_turn_shift_distribution(
high_extroversion, "Turn Shift Distribution (high extroversion)"
)
)
plots.append(
plot_turn_shift_distribution(
low_extroversion, "Turn Shift Distribution (low extroversion)"
)
)
plots.append(
plot_turn_shift_distribution(
high_openness, "Turn Shift Distribution (high openness)"
)
)
plots.append(
plot_turn_shift_distribution(
low_openness, "Turn Shift Distribution (low openness)"
)
)
plots.append(
plot_turn_shift_distribution(
high_agreeableness, "Turn Shift Distribution (high agreeableness)"
)
)
plots.append(
plot_turn_shift_distribution(
low_agreeableness, "Turn Shift Distribution (low agreeableness)"
)
)
plots.append(
plot_turn_shift_distribution(
high_conscientiousness, "Turn Shift Distribution (high conscientiousness)"
)
)
plots.append(
plot_turn_shift_distribution(
low_conscientiousness, "Turn Shift Distribution (low conscientiousness)"
)
)
plots.append(
plot_turn_shift_distribution(
high_neuroticism, "Turn Shift Distribution (high neuroticism)"
)
)
plots.append(
plot_turn_shift_distribution(
low_neuroticism, "Turn Shift Distribution (low neuroticism)"
)
)
save(column(*plots))
return (
high_extroversion,
low_extroversion,
high_openness,
low_openness,
high_agreeableness,
low_agreeableness,
high_conscientiousness,
low_conscientiousness,
high_neuroticism,
low_neuroticism,
)
def analysis_relationship():
data = load_data_from_json("data.json")
friend_turn_shifts = []
stranger_turn_shifts = []
# 統計情報をファイルごとに計算
for d in data:
user0_vad, user1_vad = load_vad_files(d["audio_dir"])
vad_tensor = create_vad_tensors(
user0_vad, user1_vad
) # [(発話開始時刻(秒), 発話終了時刻(秒)), ...]
TTE = TurnTakingEvents(
vad_tensor,
frame_rate=100,
pre_offset_shift=0.3,
post_onset_shift=0.3,
pre_offset_hold=0.3,
post_onset_hold=0.3,
min_silence=0.0,
pre_silence=1.0,
post_silence=2.0,
backchannel_threshold=1.0,
)
turntaking_events = TTE.get_turntaking_events()
relationship = d["relationships"] # 'friend' or 'stranger'
if relationship == "friend":
# Expert (user1 -> user0 のターンシフト)
for start, end in turntaking_events["turn_shift_silence_user1_to_user0"]:
friend_turn_shifts.append((end - start) / 100.0) # 100 Hz -> 秒
for start, end in turntaking_events["turn_shift_overlap_user1_to_user0"]:
friend_turn_shifts.append(-(end - start) / 100.0) # 100 Hz -> 秒
# Novice (user0 -> user1 のターンシフト)
for start, end in turntaking_events["turn_shift_silence_user0_to_user1"]:
friend_turn_shifts.append((end - start) / 100.0) # 100 Hz -> 秒
for start, end in turntaking_events["turn_shift_overlap_user0_to_user1"]:
friend_turn_shifts.append(-(end - start) / 100.0) # 100 Hz -> 秒
else:
# Expert (user1 -> user0 のターンシフト)
for start, end in turntaking_events["turn_shift_silence_user1_to_user0"]:
stranger_turn_shifts.append((end - start) / 100.0) # 100 Hz -> 秒
for start, end in turntaking_events["turn_shift_overlap_user1_to_user0"]:
stranger_turn_shifts.append(-(end - start) / 100.0) # 100 Hz -> 秒
# Novice (user0 -> user1 のターンシフト)
for start, end in turntaking_events["turn_shift_silence_user0_to_user1"]:
stranger_turn_shifts.append((end - start) / 100.0) # 100 Hz -> 秒
for start, end in turntaking_events["turn_shift_overlap_user0_to_user1"]:
stranger_turn_shifts.append(-(end - start) / 100.0) # 100 Hz -> 秒
# グラフの作成
output_file("output/turn_shift_statistics_relationship.html")
plots = []
plots.append(
plot_turn_shift_distribution(
friend_turn_shifts, "Turn Shift Distribution (friend)"
)
)
plots.append(
plot_turn_shift_distribution(
stranger_turn_shifts, "Novice Turn Shift Distribution (stranger)"
)
)
save(column(*plots))
stat_test(friend_turn_shifts, stranger_turn_shifts)
return friend_turn_shifts, stranger_turn_shifts
def analysis_speaker():
data = load_data_from_json("data.json")
expert_turn_shifts = []
novice_turn_shifts = []
expert_va_durations = []
novice_va_durations = []
# 統計情報をファイルごとに計算
for d in data:
user0_vad, user1_vad = load_vad_files(d["audio_dir"])
vad_tensor = create_vad_tensors(
user0_vad, user1_vad
) # [(発話開始時刻(秒), 発話終了時刻(秒)), ...]
TTE = TurnTakingEvents(
vad_tensor,
frame_rate=100,
pre_offset_shift=0.3,
post_onset_shift=0.3,
pre_offset_hold=0.3,
post_onset_hold=0.3,
min_silence=0.0,
pre_silence=1.0,
post_silence=2.0,
backchannel_threshold=1.0,
)
turntaking_events = TTE.get_turntaking_events()
for start, end in user0_vad:
expert_va_durations.append(end - start)
for start, end in user1_vad:
novice_va_durations.append(end - start)
# Expert (user1 -> user0 のターンシフト)
for start, end in turntaking_events["turn_shift_silence_user1_to_user0"]:
expert_turn_shifts.append((end - start) / 100.0) # 100 Hz -> 秒
for start, end in turntaking_events["turn_shift_overlap_user1_to_user0"]:
expert_turn_shifts.append(-(end - start) / 100.0) # 100 Hz -> 秒
# Novice (user0 -> user1 のターンシフト)
for start, end in turntaking_events["turn_shift_silence_user0_to_user1"]:
novice_turn_shifts.append((end - start) / 100.0) # 100 Hz -> 秒
for start, end in turntaking_events["turn_shift_overlap_user0_to_user1"]:
novice_turn_shifts.append(-(end - start) / 100.0) # 100 Hz -> 秒
# グラフの作成
output_file("output/turn_shift_statistics_speaker.html")
plots = []
plots.append(
plot_turn_shift_distribution(
expert_turn_shifts, "Expert Turn Shift Distribution"
)
)
plots.append(
plot_turn_shift_distribution(
novice_turn_shifts, "Novice Turn Shift Distribution"
)
)
save(column(*plots))
stat_test(expert_turn_shifts, novice_turn_shifts)
return expert_turn_shifts, novice_turn_shifts
def analysis_all():
data = load_data_from_json("data.json")
audio_duration = 0
turn_shifts = []
# 統計情報をファイルごとに計算
for d in data:
user0_vad, user1_vad = load_vad_files(d["audio_dir"])
vad_tensor = create_vad_tensors(
user0_vad, user1_vad
) # [(発話開始時刻(秒), 発話終了時刻(秒)), ...]
user0_waveform, user1_waveform = load_mp3_as_tensors(d["audio_dir"])
TTE = TurnTakingEvents(
vad_tensor,
frame_rate=100,
pre_offset_shift=0.3,
post_onset_shift=0.3,
pre_offset_hold=0.3,
post_onset_hold=0.3,
min_silence=0.0,
pre_silence=1.0,
post_silence=2.0,
backchannel_threshold=1.0,
)
turntaking_events = TTE.get_turntaking_events()
audio_duration += user0_waveform.size(1) / 16000 # 音声の長さ
for start, end in turntaking_events["turn_shift_silence_user0_to_user1"]:
turn_shifts.append((end - start) / 100.0) # 100 Hz -> 秒
for start, end in turntaking_events["turn_shift_silence_user1_to_user0"]:
turn_shifts.append((end - start) / 100.0) # 100 Hz -> 秒
for start, end in turntaking_events["turn_shift_overlap_user0_to_user1"]:
turn_shifts.append(-(end - start) / 100.0) # 100 Hz -> 秒
for start, end in turntaking_events["turn_shift_overlap_user1_to_user0"]:
turn_shifts.append(-(end - start) / 100.0) # 100 Hz -> 秒
silence_ratio = sum([1 for shift in turn_shifts if shift > 0]) / len(turn_shifts)
overlap_ratio = 1 - silence_ratio
# グラフの作成
output_file("output/turn_shift_statistics.html")
plots = []
plots.append(
plot_turn_shift_distribution(turn_shifts, "Total Turn Shift Distribution")
)
save(column(*plots))
# 統計情報の出力
logger.info(f"Total audio duration: {audio_duration} seconds")
logger.info(f"Total turn shifts num.: {len(turn_shifts)}")
logger.info(f"Turn shift max: {max(turn_shifts)}")
logger.info(f"Turn shift min: {min(turn_shifts)}")
logger.info(f"Turn shift 1st quartile: {np.percentile(turn_shifts, 25)}")
logger.info(f"Turn shift 3rd quartile: {np.percentile(turn_shifts, 75)}")
logger.info(f"Turn shift mean: {np.mean(turn_shifts)}")
logger.info(f"Turn shift median: {np.median(turn_shifts)}")
logger.info(f"Turn shift variance: {np.var(turn_shifts)}")
logger.info(f"Silence ratio: {silence_ratio}")
logger.info(f"Overlap ratio: {overlap_ratio}")
return turn_shifts
def evaluate_gamma_fit(turn_shifts, params, label=""):
"""
KS 検定でフィット具合を評価し、logger.info する。
"""
shape, loc, scale = params["shape"], params["loc"], params["scale"]
D, p_value = kstest(turn_shifts, "gamma", args=(shape, loc, scale))
logger.info(f"{label} gamma KS test D-statistic: {D:.4f}, p-value: {p_value:.4f}")
def fit_gamma_distribution(turn_shifts):
"""
ターンシフトデータをガンマ分布に近似させる関数。
パラメータ:
turn_shifts (list): ターンシフトの速度データのリスト
戻り値:
dict: ガンマ分布のパラメータ
"""
# データをNumPy配列に変換
turn_shifts = np.array(turn_shifts)
# ガンマ分布にフィットさせる
shape, loc, scale = gamma.fit(turn_shifts)
# パラメータを辞書形式で返す
fitted_params = {"shape": shape, "loc": loc, "scale": scale}
return fitted_params
def plot_gamma_fit_html(turn_shifts, gamma_params):
"""
ターンシフトデータとガンマ分布にフィットさせた結果を同じグラフにプロットし、HTMLで出力する関数。
パラメータ:
turn_shifts (list): ターンシフトの速度データのリスト
gamma_params (dict): ガンマ分布のパラメータ
"""
# データをNumPy配列に変換
turn_shifts = np.array(turn_shifts)
# 元データのヒストグラムを計算
hist, edges = np.histogram(turn_shifts, bins=50, density=True)
# ガンマ分布の近似を計算
x = np.linspace(min(turn_shifts), max(turn_shifts), 1000)
shape, loc, scale = (
gamma_params["shape"],
gamma_params["loc"],
gamma_params["scale"],
)
pdf_fitted = gamma.pdf(x, shape, loc=loc, scale=scale)
# Bokehの出力をHTMLに設定
output_file("output/gamma_fit.html")
# Bokehでプロット
p = figure(
# title="Original Data and Gamma Fit",
x_axis_label="Turn-shift Speed",
y_axis_label="Probability Density",
width=800,
height=400,
x_range=(-4, 4), # 横軸の範囲を指定
y_range=(0, 1.2), # 縦軸の範囲を指定
)
# ラベルと目盛りのフォントサイズを設定
p.xaxis.axis_label_text_font_size = "16pt"
p.yaxis.axis_label_text_font_size = "16pt"
p.xaxis.major_label_text_font_size = "14pt"
p.yaxis.major_label_text_font_size = "14pt"
p.legend.label_text_font_size = "16pt"
# 元のヒストグラムデータ
p.quad(
top=hist,
bottom=0,
left=edges[:-1],
right=edges[1:],
fill_color="navy",
line_color="white",
alpha=0.5,
legend_label="Original Data",
)
# フィットしたガンマ分布
p.line(x, pdf_fitted, line_color="orange", line_width=2, legend_label="Gamma Fit")
# 凡例の配置
p.legend.location = "top_right"
# グラフを保存
save(p)
def plot_gamma_fit_comparison_html(
turn_shifts,
base_params,
adjusted_params,
filename="output/gamma_fit_comparison.html",
):
"""
元データのヒストグラム+
オリジナルフィット+アジャスト後フィット を同一グラフにプロットして HTML 出力する。
"""
turn_shifts = np.array(turn_shifts)
hist, edges = np.histogram(turn_shifts, bins=50, density=True)
x = np.linspace(min(turn_shifts), max(turn_shifts), 1000)
# 各PDF を計算
base_pdf = gamma.pdf(
x,
base_params["shape"],
loc=base_params["loc"],
scale=base_params["scale"],
)
adj_pdf = gamma.pdf(
x,
adjusted_params["shape"],
loc=adjusted_params["loc"],
scale=adjusted_params["scale"],
)
output_file(filename)
p = figure(
# title="Data vs. Gamma Fits (Original & Adjusted)",
x_axis_label="Turn-shift Speed",
y_axis_label="Probability Density",
width=800,
height=400,
)
# ラベルと目盛りのフォントサイズを設定
p.xaxis.axis_label_text_font_size = "16pt"
p.yaxis.axis_label_text_font_size = "16pt"
p.xaxis.major_label_text_font_size = "14pt"
p.yaxis.major_label_text_font_size = "14pt"
p.legend.label_text_font_size = "16pt"
# 元データ
p.quad(
top=hist,
bottom=0,
left=edges[:-1],
right=edges[1:],
fill_color="navy",
line_color="white",
alpha=0.5,
legend_label="Original Data",
)
# オリジナルフィット
p.line(
x,
base_pdf,
line_width=2,
line_dash="dashed",
legend_label="Gamma Fit (Original)",
)
# アジャスト後フィット
p.line(
x,
adj_pdf,
line_width=2,
legend_label="Gamma Fit (Adjusted)",
)
p.legend.location = "top_right"
save(p)
def adjust_gamma_params(fitted_params, desired_mean, desired_variance):
"""
Adjusts the parameters of a gamma distribution to match a desired mean and variance.
Args:
- fitted_params (dict): A dictionary containing the current 'shape', 'loc', and 'scale' of the distribution.
- desired_mean (float): The target mean value.
- desired_variance (float): The target variance value.
Returns:
- adjusted_params (dict): A dictionary containing the adjusted 'shape', 'loc', and 'scale' parameters.
"""
shape = fitted_params["shape"]
loc = fitted_params["loc"]
scale = fitted_params["scale"]
# Adjust scale and shape to match the desired mean and variance
# adjusted_scale = np.sqrt(desired_variance / shape)
# adjusted_shape = (desired_mean - loc) / adjusted_scale
adjusted_scale = desired_variance / (desired_mean - loc)
adjusted_shape = (desired_mean - loc) ** 2 / desired_variance
# Return the new parameters
adjusted_params = {
"shape": adjusted_shape,
"loc": loc, # loc remains unchanged
"scale": adjusted_scale,
}
return adjusted_params
def evaluate_gamma_fit_r2(turn_shifts, params, label="", bins=50):
"""
- turn_shifts: データ配列
- params: {'shape', 'loc', 'scale'}
- bins: ヒストグラムのビン数
→ R² を返す (0–1 の値。*100 で%表示)
"""
hist, edges = np.histogram(turn_shifts, bins=bins, density=True)
mids = (edges[:-1] + edges[1:]) / 2
mask = mids >= params["loc"]
hist, mids = hist[mask], mids[mask]
# 1) 実データの密度推定(ヒストグラムを確率密度化)
hist, edges = np.histogram(turn_shifts, bins=bins, density=True)
mids = (edges[:-1] + edges[1:]) / 2 # ビンの中心値
# 2) モデルの PDF を同点で評価
pdf_vals = gamma.pdf(
mids,
params["shape"],
loc=params["loc"],
scale=params["scale"],
)
# 3) 決定係数 R² の計算
ss_res = np.sum((hist - pdf_vals) ** 2)
ss_tot = np.sum((hist - np.mean(hist)) ** 2)
r2 = 1 - ss_res / ss_tot
logger.info(f"{label} gamma R²: {r2 * 100:.2f}%")
return r2
def evaluate_gamma_fit_hellinger_overlap(data, params, n=1000, label=""):
x = np.linspace(min(data), max(data), n)
# KDE で経験分布をスムージング
p_emp = gaussian_kde(data)(x)
p_model = gamma.pdf(x, params["shape"], loc=params["loc"], scale=params["scale"])
p_emp /= np.trapz(p_emp, x) # 正規化
p_model /= np.trapz(p_model, x) # 正規化
overlap = np.trapz(np.sqrt(p_emp * p_model), x)
logger.info(f"{label} Hellinger一致率: {overlap * 100:.2f}%")
return overlap * 100 # 0–100 %
# 2つのグループとそのガンマ分布を同一グラフに描画する関数
def plot_two_distributions_with_gamma(
shift1,
shift2,
label1,
label2,
title,
base_params,
adjusted_params1,
adjusted_params2,
adjusted_label1,
adjusted_label2,
):
bins = np.arange(-4.0, 4.2, 0.2)
hist1, edges = np.histogram(shift1, bins=bins, density=True)
hist2, _ = np.histogram(shift2, bins=bins, density=True)
p = figure(
title=title,
x_axis_label="Turn Shift Duration (s)",
y_axis_label="Probability Density",
width=800,
height=600,
x_range=(-4, 4),
)
# ラベルと目盛りのフォントサイズを設定
p.xaxis.axis_label_text_font_size = "16pt"
p.yaxis.axis_label_text_font_size = "16pt"
p.xaxis.major_label_text_font_size = "14pt"
p.yaxis.major_label_text_font_size = "14pt"
p.legend.label_text_font_size = "16pt"
# ヒストグラム
p.quad(
top=hist1,
bottom=0,
left=edges[:-1],
right=edges[1:],
fill_color="navy",
alpha=0.5,
legend_label=label1,
)
p.quad(
top=hist2,
bottom=0,
left=edges[:-1],
right=edges[1:],
fill_color="orange",
alpha=0.5,
legend_label=label2,
)
# ガンマ分布のオーバーレイ
x = np.linspace(-4, 4, 1000)
base_pdf = gamma.pdf(
x,
base_params["shape"],
loc=base_params["loc"],
scale=base_params["scale"],
)
pdf_high = gamma.pdf(
x,
adjusted_params1["shape"],
loc=adjusted_params1["loc"],
scale=adjusted_params1["scale"],
)
pdf_low = gamma.pdf(
x,
adjusted_params2["shape"],
loc=adjusted_params2["loc"],
scale=adjusted_params2["scale"],
)
# ベース分布を破線、グループ分布を実線で
p.line(x, base_pdf, line_dash="dashed", line_width=2, legend_label="Base Gamma")
p.line(x, pdf_high, line_width=2, line_color="red", legend_label=adjusted_label1)
p.line(x, pdf_low, line_width=2, line_color="green", legend_label=adjusted_label2)
p.legend.location = "top_right"
return p
# memo
filled_params = {
"shape": np.float64(9.845759954342185),
"loc": np.float64(-1.7494952473434728),
"scale": np.float64(0.21313221400417537),
}
if __name__ == "__main__":
"""
全体でのターンシフトの分布をガンマ分布にフィットさせる。
NOTE: ここのコードは実装の音声が必要です。実際の音声が必要な方は著者に連絡してください。
"""
# turn_shifts = analysis_all()
# filled_params = fit_gamma_distribution(turn_shifts)
# evaluate_gamma_fit(turn_shifts, filled_params, label="Based")
# evaluate_gamma_fit_r2(turn_shifts, filled_params, label="Based")
# evaluate_gamma_fit_hellinger_overlap(
# turn_shifts, filled_params, n=1000, label="Based"
# )
# logger.info(filled_params)
# plot_gamma_fit_html(turn_shifts, filled_params)
"""
ExpertとNoviceのターンシフトの分布を平均値と分散からガンマ分布にフィットさせる。
"""
expert_turn_shifts, novice_turn_shifts = analysis_speaker()
adjust_params_expert = adjust_gamma_params(
filled_params,
desired_mean=np.mean(expert_turn_shifts),
desired_variance=np.var(expert_turn_shifts),
)
logger.info(adjust_params_expert)
evaluate_gamma_fit(expert_turn_shifts, filled_params, label="Expert Based")
evaluate_gamma_fit(
expert_turn_shifts, adjust_params_expert, label="Expert Adjusted"
)
evaluate_gamma_fit_r2(expert_turn_shifts, filled_params, label="Expert Based")
evaluate_gamma_fit_r2(
expert_turn_shifts, adjust_params_expert, label="Expert Adjusted"
)
evaluate_gamma_fit_hellinger_overlap(
expert_turn_shifts, filled_params, n=1000, label="Expert Based"
)
evaluate_gamma_fit_hellinger_overlap(
expert_turn_shifts, adjust_params_expert, n=1000, label="Expert Adjusted"
)
plot_gamma_fit_comparison_html(
expert_turn_shifts,
filled_params,
adjust_params_expert,
filename="output/gamma_fit_expert.html",
)
adjust_params_novice = adjust_gamma_params(
filled_params,
desired_mean=np.mean(novice_turn_shifts),
desired_variance=np.var(novice_turn_shifts),
)
logger.info(adjust_params_novice)
evaluate_gamma_fit(novice_turn_shifts, filled_params, label="Novice Based")
evaluate_gamma_fit(
novice_turn_shifts, adjust_params_novice, label="Novice Adjusted"
)
evaluate_gamma_fit_r2(novice_turn_shifts, filled_params, label="Novice Based")
evaluate_gamma_fit_r2(
novice_turn_shifts, adjust_params_novice, label="Novice Adjusted"
)
evaluate_gamma_fit_hellinger_overlap(
novice_turn_shifts, filled_params, n=1000, label="Novice Based"
)
evaluate_gamma_fit_hellinger_overlap(
novice_turn_shifts, adjust_params_novice, n=1000, label="Novice Adjusted"
)
plot_gamma_fit_comparison_html(
novice_turn_shifts,
filled_params,
adjust_params_novice,
filename="output/gamma_fit_novice.html",
)
"""
friendとstrangerのターンシフトの分布を平均値と分散からガンマ分布にフィットさせる。
"""
friend_turn_shifts, stranger_turn_shifts = analysis_relationship()
adjust_params_friend = adjust_gamma_params(
filled_params,
desired_mean=np.mean(friend_turn_shifts),
desired_variance=np.var(friend_turn_shifts),
)
logger.info(adjust_params_friend)
evaluate_gamma_fit(friend_turn_shifts, filled_params, label="Friend Based")
evaluate_gamma_fit(
friend_turn_shifts, adjust_params_friend, label="Friend Adjusted"
)
evaluate_gamma_fit_r2(friend_turn_shifts, filled_params, label="Friend Based")
evaluate_gamma_fit_r2(
friend_turn_shifts, adjust_params_friend, label="Friend Adjusted"
)
evaluate_gamma_fit_hellinger_overlap(
friend_turn_shifts, filled_params, n=1000, label="Friend Based"
)
evaluate_gamma_fit_hellinger_overlap(
friend_turn_shifts, adjust_params_friend, n=1000, label="Friend Adjusted"
)
plot_gamma_fit_comparison_html(
friend_turn_shifts,
filled_params,
adjust_params_friend,
filename="output/gamma_fit_friend.html",
)
adjust_params_stranger = adjust_gamma_params(
filled_params,
desired_mean=np.mean(stranger_turn_shifts),
desired_variance=np.var(stranger_turn_shifts),
)
logger.info(adjust_params_stranger)
evaluate_gamma_fit(stranger_turn_shifts, filled_params, label="Stranger Based")
evaluate_gamma_fit(
stranger_turn_shifts, adjust_params_stranger, label="Stranger Adjusted"
)
evaluate_gamma_fit_r2(stranger_turn_shifts, filled_params, label="Stranger Based")
evaluate_gamma_fit_r2(
stranger_turn_shifts, adjust_params_stranger, label="Stranger Adjusted"
)
evaluate_gamma_fit_hellinger_overlap(
stranger_turn_shifts, filled_params, n=1000, label="Stranger Based"
)