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kopia_FD.py
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122 lines (100 loc) · 4.25 KB
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import numpy as np
import mne
from sklearn.ensemble import RandomForestRegressor
from scipy.integrate import simpson
from scipy.signal import welch
from scipy.signal import butter, filtfilt
from hotb_starter_code.FD import FractalEmotionModel
def higuchi_fd(time_series, k_max):
"""
Implements the Higuchi Fractal Dimension (HFD) algorithm.
Ref: Equations (1), (2), and (3) in the paper.
"""
N = len(time_series)
X = np.array(time_series)
L_k = []
# Iterate through k values from 1 to k_max
for k in range(1, k_max + 1):
L_m_k = []
# Calculate Length L_m(k) for each m - Equation (2)
for m in range(1, k + 1):
# Create the decimated series - Equation (1)
# Python is 0-indexed, so we adjust indices (m-1)
indices = np.arange(m - 1, N, k)
current_series = X[indices]
n_samples = len(current_series)
# Sum of absolute differences
diffs = np.abs(np.diff(current_series))
normalization = (N - 1) / (n_samples * k)
L_m = (np.sum(diffs) * normalization) / k
L_m_k.append(L_m)
# Average L(k) over m - Equation (3) context
L_k.append(np.mean(L_m_k))
# Log-Log plot to find D (slope) - Equation (3)
# relationship: <L(k)> ~ k^(-D)
x = np.log(1.0 / np.arange(1, k_max + 1))
y = np.log(L_k)
# Fit linear regression to find slope
slope, _ = np.polyfit(x, y, 1)
return slope # This is the Fractal Dimension (D)
class FractalEmotionModel:
def __init__(self, sampling_rate=128):
self.fs = sampling_rate
# Thresholds must be calibrated per user or set to defaults.
# The paper suggests calibration (training) is best.
self.arousal_threshold_high = 1.90 # Example value based on Table I logic
self.arousal_threshold_low = 1.80 # Example value based on Table I logic
self.valence_threshold = 0.0 # Asymmetry > 0 vs < 0
def bandpass_filter(self, data, lowcut=2.0, highcut=42.0):
"""
Applies 2-42 Hz bandpass filter as specified in[cite: 138].
"""
nyq = 0.5 * self.fs
low = lowcut / nyq
high = highcut / nyq
b, a = butter(5, [low, high], btype='band')
return filtfilt(b, a, data)
def predict_window(self, raw_af3, raw_f4, raw_fc6):
"""
Processes a single window (e.g., 1024 samples) to predict emotion.
"""
# 1. Filter Data [cite: 211]
filt_af3 = self.bandpass_filter(raw_af3)
filt_f4 = self.bandpass_filter(raw_f4)
filt_fc6 = self.bandpass_filter(raw_fc6)
# 2. Calculate Higuchi FD [cite: 212]
# k_max is usually set between 6 and 20 for EEG;
# The paper implies optimization but k=10 is standard for this calculation.
fd_af3 = higuchi_fd(filt_af3, k_max=10)
fd_f4 = higuchi_fd(filt_f4, k_max=10)
fd_fc6 = higuchi_fd(filt_fc6, k_max=10)
# 3. Determine Arousal (FC6)
# Paper: Higher FD = Higher Arousal [cite: 151]
arousal_level = 0
if fd_fc6 > self.arousal_threshold_high:
arousal_level = 2 # High Arousal
elif fd_fc6 > self.arousal_threshold_low:
arousal_level = 1 # Medium Arousal
else:
arousal_level = 0 # Low Arousal
# 4. Determine Valence (AF3 - F4)
# Paper tests lateralization hypothesis: Left (AF3) vs Right (F4)
valence_score = fd_af3 - fd_f4
valence_level = 1 if valence_score > self.valence_threshold else 0
return valence_level,arousal_level
mapping = {
(0, 0): "Sad",
(0, 1): "Frustrated",
(0, 2): "Fear",
(1, 0): "Satisfied",
(1, 1): "Pleasant",
(1, 2): "Happy"
}
pad_model = FractalEmotionModel(sampling_rate=128)
raw = mne.io.read_raw_fif("data/2.fif", preload=True)
raw_af3 = raw.copy().pick_channels(['AF3']).get_data()[0]
raw_f4 = raw.copy().pick_channels(['AF4']).get_data()[0]
raw_fc6 = raw.copy().pick_channels(['F3']).get_data()[0]
# Run prediction
emotion = pad_model.predict_window(raw_af3, raw_f4, raw_fc6)
print(f"Predicted Emotion: {emotion}")