def main(config_path):
torch.manual_seed(1)
device = torch.device('cpu')
with open(config_path, 'r') as f:
cfg = yaml.safe_load(f)
cfg['MODEL']['SIGMA_NEU'] = 0
model_name = os.path.splitext(os.path.basename(config_path))[0]
print('model_name: ', model_name)
model = RecurrentNeuralNetwork(
n_in=1,
n_out=2,
n_hid=cfg['MODEL']['SIZE'],
device=device,
alpha_time_scale=0.25,
beta_time_scale=cfg['MODEL']['BETA'],
activation=cfg['MODEL']['ACTIVATION'],
sigma_neu=cfg['MODEL']['SIGMA_NEU'],
sigma_syn=cfg['MODEL']['SIGMA_SYN'],
use_bias=cfg['MODEL']['USE_BIAS'],
anti_hebbian=cfg['MODEL']['ANTI_HEBB']).to(device)
model_path = f'../trained_model/freq/{model_name}/epoch_3000.pth'
model.load_state_dict(torch.load(model_path, map_location=device))
model.eval()
trial_num = 1700
neural_dynamics = np.zeros((trial_num, 1001, model.n_hid))
outputs_np = np.zeros(trial_num)
input_signal, omega_1_list = romo_signal(trial_num,
signal_length=15,
sigma_in=0.05,
time_length=1000)
input_signal_split = np.split(input_signal,
trial_num // cfg['TRAIN']['BATCHSIZE'])
for i in range(trial_num // cfg['TRAIN']['BATCHSIZE']):
hidden = torch.zeros(cfg['TRAIN']['BATCHSIZE'], model.n_hid)
hidden = hidden.to(device)
inputs = torch.from_numpy(input_signal_split[i]).float()
inputs = inputs.to(device)
hidden_list, outputs, _, _ = model(inputs, hidden)
hidden_list_np = hidden_list.cpu().detach().numpy()
outputs_np[i * cfg['TRAIN']['BATCHSIZE']:(i + 1) *
cfg['TRAIN']['BATCHSIZE']] = np.argmax(
outputs.detach().numpy()[:, -1], axis=1)
neural_dynamics[i * cfg['TRAIN']['BATCHSIZE']:(i + 1) *
cfg['TRAIN']['BATCHSIZE']] = hidden_list_np
os.makedirs('results', exist_ok=True)
os.makedirs(f'results/{model_name}', exist_ok=True)
angle_list = []
diff_omega_list = []
for i in range(16):
for j in range(i + 1, 16):
distance = np.linalg.norm(
np.mean(neural_dynamics[100 * i:100 * (i + 1), 15], axis=0) -
np.mean(neural_dynamics[100 * j:100 * (j + 1), 15], axis=0), )
angle_list.append(distance)
diff_omega_list.append(abs(i - j) * 0.25)
plt.figure(constrained_layout=True)
plt.scatter(
diff_omega_list,
angle_list,
)
plt.xlabel(r'$|\omega_i - \omega_j|$', fontsize=16)
plt.ylabel(r'$\theta$', fontsize=16)
plt.savefig(f'results/{model_name}/coding_distance_Ts.png', dpi=200)
np.save(f'results/{model_name}/active_norm.npy', np.array(angle_list))
angle_list = []
diff_omega_list = []
for i in range(16):
for j in range(i + 1, 16):
distance = np.linalg.norm(
np.mean(neural_dynamics[100 * i:100 * (i + 1), 45], axis=0) -
np.mean(neural_dynamics[100 * j:100 * (j + 1), 45], axis=0), )
angle_list.append(distance)
diff_omega_list.append(abs(i - j) * 0.25)
plt.figure(constrained_layout=True)
plt.scatter(
diff_omega_list,
angle_list,
)
plt.xlabel(r'$|\omega_i - \omega_j|$', fontsize=16)
plt.ylabel(r'$\Delta {\bf x}$', fontsize=16)
plt.savefig(f'results/{model_name}/coding_distance_Tf.png', dpi=200)
def main(config_path):
torch.manual_seed(1)
device = torch.device('cpu')
with open(config_path, 'r') as f:
cfg = yaml.safe_load(f)
cfg['MODEL']['SIGMA_NEU'] = 0
model_name = os.path.splitext(os.path.basename(config_path))[0]
print('model_name: ', model_name)
model = RecurrentNeuralNetwork(
n_in=1,
n_out=2,
n_hid=cfg['MODEL']['SIZE'],
device=device,
alpha_time_scale=0.25,
beta_time_scale=cfg['MODEL']['BETA'],
activation=cfg['MODEL']['ACTIVATION'],
sigma_neu=cfg['MODEL']['SIGMA_NEU'],
sigma_syn=cfg['MODEL']['SIGMA_SYN'],
use_bias=cfg['MODEL']['USE_BIAS'],
anti_hebbian=cfg['MODEL']['ANTI_HEBB']).to(device)
model_path = f'../trained_model/freq/{model_name}/epoch_3000.pth'
model.load_state_dict(torch.load(model_path, map_location=device))
model.eval()
trial_num = 1000
neural_dynamics = np.zeros((trial_num, 1001, model.n_hid))
outputs_np = np.zeros(trial_num)
input_signal, omega_1_list = romo_signal(trial_num,
signal_length=15,
sigma_in=0.05,
time_length=1000)
input_signal_split = np.split(input_signal,
trial_num // cfg['TRAIN']['BATCHSIZE'])
for i in range(trial_num // cfg['TRAIN']['BATCHSIZE']):
hidden = torch.zeros(cfg['TRAIN']['BATCHSIZE'], model.n_hid)
hidden = hidden.to(device)
inputs = torch.from_numpy(input_signal_split[i]).float()
inputs = inputs.to(device)
hidden_list, outputs, _, _ = model(inputs, hidden)
hidden_list_np = hidden_list.cpu().detach().numpy()
outputs_np[i * cfg['TRAIN']['BATCHSIZE']:(i + 1) *
cfg['TRAIN']['BATCHSIZE']] = np.argmax(
outputs.detach().numpy()[:, -1], axis=1)
neural_dynamics[i * cfg['TRAIN']['BATCHSIZE']:(i + 1) *
cfg['TRAIN']['BATCHSIZE']] = hidden_list_np
covariance_matrix = np.zeros((256, 256))
for i in range(trial_num):
covariance_matrix += np.outer(neural_dynamics[i, 45],
neural_dynamics[i, 45])
covariance_matrix = covariance_matrix / trial_num
w, v = np.linalg.eig(covariance_matrix)
lin_d = np.sum(w.real)**2 / np.sum(w.real**2)
pca = PCA()
pca.fit(neural_dynamics[:, 45, :])
pc_lin_dim = np.sum(pca.explained_variance_)**2 / np.sum(
pca.explained_variance_**2)
print(lin_d, pc_lin_dim)
lin_dim = 0
for i in range(trial_num):
pca = PCA()
pca.fit(neural_dynamics[i, 25:50, :])
lin_dim += np.sum(pca.explained_variance_)**2 / np.sum(
pca.explained_variance_**2)
# print(lin_dim)
print(lin_dim / trial_num)
def main(config_path, model_epoch):
torch.manual_seed(1)
device = torch.device('cpu')
with open(config_path, 'r') as f:
cfg = yaml.safe_load(f)
cfg['MODEL']['SIGMA_NEU'] = 0
model_name = os.path.splitext(os.path.basename(config_path))[0]
print('model_name: ', model_name)
model = RecurrentNeuralNetwork(
n_in=1,
n_out=2,
n_hid=cfg['MODEL']['SIZE'],
device=device,
alpha_time_scale=0.25,
beta_time_scale=cfg['MODEL']['BETA'],
activation=cfg['MODEL']['ACTIVATION'],
sigma_neu=cfg['MODEL']['SIGMA_NEU'],
sigma_syn=cfg['MODEL']['SIGMA_SYN'],
use_bias=cfg['MODEL']['USE_BIAS'],
anti_hebbian=cfg['MODEL']['ANTI_HEBB']).to(device)
model_path = f'../trained_model/freq/{model_name}/epoch_{model_epoch}.pth'
model.load_state_dict(torch.load(model_path, map_location=device))
model.eval()
fixed_point_list = np.zeros((200, 256))
count = 0
for i in range(50):
for j in range(4):
fixed_point_list[count] = np.loadtxt(
f'../fixed_points/freq/{model_name}_{model_epoch}/fixed_point_{i}_{j}.txt'
)
count += 1
speed_list = []
for i in range(len(fixed_point_list)):
speed_list.append(
calc_speed(torch.from_numpy(fixed_point_list[i]).float(), model))
print('average speed: ', np.mean(speed_list))
pca = PCA(n_components=3)
pca.fit(fixed_point_list)
pc_fixed_point_list = pca.transform(fixed_point_list)
fig = plt.figure(figsize=(7, 6))
ax = Axes3D(fig)
ax.view_init(elev=25, azim=20)
# 軸ラベルの設定
ax.set_xlabel('PC1', fontsize=14)
ax.set_ylabel('PC2', fontsize=14)
ax.set_zlabel('PC3', fontsize=14)
ax.scatter(pc_fixed_point_list[:, 0], pc_fixed_point_list[:, 1],
pc_fixed_point_list[:, 2])
os.makedirs(f'results/{model_name}_{model_epoch}', exist_ok=True)
plt.savefig(f'results/{model_name}_{model_epoch}/fixed_points.png',
dpi=300)
fixed_point_list = []
speed_list = []
for i in range(50):
for j in range(4):
fixed_point = np.loadtxt(
f'../fixed_points/freq/{model_name}_{model_epoch}/fixed_point_{i}_{j}.txt'
)
if calc_speed(torch.from_numpy(fixed_point).float(), model) < 0.02:
speed_list.append(
calc_speed(torch.from_numpy(fixed_point).float(), model))
fixed_point_list.append(fixed_point)
# count += 1
# print(len(speed_list))
# print(len(fixed_point_list))
# print(np.argmin(speed_list))
pc_fixed_point_list = pca.transform(fixed_point_list)
fig = plt.figure(figsize=(7, 6))
ax = Axes3D(fig)
ax.view_init(elev=25, azim=20)
# 軸ラベルの設定
ax.set_xlabel('PC1', fontsize=14)
ax.set_ylabel('PC2', fontsize=14)
ax.set_zlabel('PC3', fontsize=14)
ax.scatter(
pc_fixed_point_list[:, 0],
pc_fixed_point_list[:, 1],
pc_fixed_point_list[:, 2],
)
ax.scatter(
pc_fixed_point_list[np.argmin(speed_list), 0],
pc_fixed_point_list[np.argmin(speed_list), 1],
pc_fixed_point_list[np.argmin(speed_list), 2],
s=50,
color='red',
)
plt.title(r'Only speed $\leq 0.02$', fontsize=14)
plt.savefig(
f'results/{model_name}_{model_epoch}/fixed_points_slow_dim.png',
dpi=300)
jacobian = calc_jacobian(
torch.from_numpy(fixed_point_list[np.argmin(speed_list)]).float(),
model)
w, v = np.linalg.eig(jacobian)
plt.figure(constrained_layout=True)
plt.scatter(
w.real,
w.imag,
)
plt.title(f'Eigenvalue Distribution, {np.max(w.real)}', fontsize=16)
plt.savefig(f'results/{model_name}_{model_epoch}/fixed_point_eig.png',
dpi=300)
print(w[w.real > 0])
plt.figure(constrained_layout=True)
plt.scatter(
w.real,
w.imag,
)
plt.xlim([-2, 0])
plt.ylim([-1, 1])
plt.title(f'Eigenvalue Distribution, {np.max(w.real)}', fontsize=16)
plt.savefig(f'results/{model_name}_{model_epoch}/fixed_point_eig2.png',
dpi=300)
print(w[w.real > 0])
def main(config_path, model_epoch):
torch.manual_seed(1)
device = torch.device('cpu')
with open(config_path, 'r') as f:
cfg = yaml.safe_load(f)
cfg['MODEL']['SIGMA_NEU'] = 0
model_name = os.path.splitext(os.path.basename(config_path))[0]
print('model_name: ', model_name)
model = RecurrentNeuralNetwork(
n_in=1,
n_out=2,
n_hid=cfg['MODEL']['SIZE'],
device=device,
alpha_time_scale=0.25,
beta_time_scale=cfg['MODEL']['BETA'],
activation=cfg['MODEL']['ACTIVATION'],
sigma_neu=cfg['MODEL']['SIGMA_NEU'],
sigma_syn=cfg['MODEL']['SIGMA_SYN'],
use_bias=cfg['MODEL']['USE_BIAS'],
anti_hebbian=cfg['MODEL']['ANTI_HEBB']).to(device)
model_path = f'../trained_model/freq/{model_name}/epoch_{model_epoch}.pth'
model.load_state_dict(torch.load(model_path, map_location=device))
model.eval()
trial_num = 1000
neural_dynamics = np.zeros((trial_num, 61, model.n_hid))
outputs_np = np.zeros(trial_num)
input_signal, omega_1_list = romo_signal(trial_num,
signal_length=15,
sigma_in=0.05,
time_length=60)
input_signal_split = np.split(input_signal,
trial_num // cfg['TRAIN']['BATCHSIZE'])
for i in range(trial_num // cfg['TRAIN']['BATCHSIZE']):
hidden = torch.zeros(cfg['TRAIN']['BATCHSIZE'], model.n_hid)
hidden = hidden.to(device)
inputs = torch.from_numpy(input_signal_split[i]).float()
inputs = inputs.to(device)
hidden_list, outputs, _, _ = model(inputs, hidden)
hidden_list_np = hidden_list.cpu().detach().numpy()
outputs_np[i * cfg['TRAIN']['BATCHSIZE']:(i + 1) *
cfg['TRAIN']['BATCHSIZE']] = np.argmax(
outputs.detach().numpy()[:, -1], axis=1)
neural_dynamics[i * cfg['TRAIN']['BATCHSIZE']:(i + 1) *
cfg['TRAIN']['BATCHSIZE']] = hidden_list_np
time_15_mse = 0
time_45_mse = 0
os.makedirs('results', exist_ok=True)
os.makedirs(f'results/{model_name}', exist_ok=True)
clf_coef_norm_45 = []
clf_coef_norm_15 = []
for trial in range(100):
train_data, test_data, train_target, test_target = train_test_split(
neural_dynamics, omega_1_list, test_size=0.25)
timepoint = 45
""""
for alpha in [0.00001, 0.0001, 0.001, 0.01, 0.1, 0.5, 1.0]:
clf = Ridge(alpha=alpha)
clf.fit(train_data[:, timepoint, :], train_target)
clf_coef_norm.append(np.linalg.norm(clf.coef_))
mse = mean_squared_error(
clf.predict(test_data[:, timepoint, :]),
test_target,
)
print(alpha, mse)
"""
clf = Ridge(alpha=0.01)
clf.fit(train_data[:, timepoint, :]**2, train_target)
# print(clf.coef_)
clf_coef_norm_45.append(np.linalg.norm(clf.coef_))
mse = mean_squared_error(
clf.predict(test_data[:, timepoint, :]**2),
test_target,
)
# print(clf.score(test_data[:, timepoint, :], test_target))
# print(timepoint, mse)
time_45_mse += mse
timepoint = 15
clf = Ridge(alpha=0.01)
clf.fit(train_data[:, timepoint, :]**2, train_target)
# print(clf.score(test_data[:, timepoint, :], test_target))
clf_coef_norm_15.append(np.linalg.norm(clf.coef_))
mse = mean_squared_error(
clf.predict(test_data[:, timepoint, :]**2),
test_target,
)
# print(timepoint, mse)
time_15_mse += mse
print('average')
print(f'time: 15, mse: {time_15_mse/100}, {np.mean(clf_coef_norm_15)}')
print(f'time: 45, mse: {time_45_mse/100}, {np.mean(clf_coef_norm_45)}')
def main(config_path, sigma_in):
# hyper-parameter
with open(config_path, 'r') as f:
cfg = yaml.safe_load(f)
cfg['MODEL']['ALPHA'] = 0.075
cfg['DATALOADER']['TIME_LENGTH'] = 200
cfg['DATALOADER']['SIGNAL_LENGTH'] = 50
cfg['DATALOADER']['VARIABLE_DELAY'] = 15
model_name = os.path.splitext(os.path.basename(config_path))[0]
os.makedirs('../results/', exist_ok=True)
save_path = f'../results/accuracy_w_neural_noise/'
os.makedirs(save_path, exist_ok=True)
print('sigma_neu accuracy')
# performanceは1つの学習済みモデルに対してsigma_neu^testを0から0.15まで変えてそれぞれの正解率を記録する。
results_acc = np.zeros(16)
for acc_idx in range(16):
# モデルのロード
torch.manual_seed(1)
device = torch.device('cuda' if torch.cuda.is_available() else 'cpu')
cfg['MODEL']['SIGMA_NEU'] = 0.01 * acc_idx
model = RecurrentNeuralNetwork(
n_in=1,
n_out=2,
n_hid=cfg['MODEL']['SIZE'],
device=device,
alpha_time_scale=cfg['MODEL']['ALPHA'],
beta_time_scale=cfg['MODEL']['BETA'],
activation=cfg['MODEL']['ACTIVATION'],
sigma_neu=cfg['MODEL']['SIGMA_NEU'],
sigma_syn=cfg['MODEL']['SIGMA_SYN'],
use_bias=cfg['MODEL']['USE_BIAS'],
anti_hebbian=cfg['MODEL']['ANTI_HEBB']).to(device)
model_path = f'../trained_model/freq_schedule/{model_name}/epoch_{cfg["TRAIN"]["NUM_EPOCH"]}.pth'
model.load_state_dict(torch.load(model_path, map_location=device))
model.eval()
correct = 0
num_data = 0
# print('delta correct_rate')
for delta_idx in range(50):
while True:
delta = np.random.rand() * 8 - 4
if abs(delta) >= 1:
break
N = 500
output_list = np.zeros(N)
input_signal = romo_signal(delta, N,
cfg['DATALOADER']['TIME_LENGTH'],
cfg['DATALOADER']['SIGNAL_LENGTH'],
sigma_in, cfg['MODEL']['ALPHA'])
input_signal_split = np.split(input_signal, 10)
for i in range(10):
hidden = torch.zeros(50, model.n_hid)
hidden = hidden.to(device)
inputs = torch.from_numpy(input_signal_split[i]).float()
inputs = inputs.to(device)
hidden_list, outputs, _, _ = model(inputs, hidden)
outputs_np = outputs.cpu().detach().numpy()
output_list[i * 50:(i + 1) * 50] = np.argmax(outputs_np[:, -1],
axis=1)
num_data += 500
if delta > 0:
ans = 1
else:
ans = 0
correct += (output_list == ans).sum()
if delta_idx % 10 == 0:
print(delta_idx, f'{delta:.4f}',
(output_list == ans).sum() / 500)
# print(f'{delta:.3f}', (output_list == ans).sum() / 200)
results_acc[acc_idx] = correct / num_data
print(cfg['MODEL']['SIGMA_NEU'], correct / num_data)
np.save(os.path.join(save_path, f'{model_name}.npy'), results_acc)
def main(activation):
os.makedirs('figures', exist_ok=True)
freq_range = 51
time_length = 40
device = torch.device('cuda' if torch.cuda.is_available() else 'cpu')
model = RecurrentNeuralNetwork(n_in=1,
n_out=1,
n_hid=200,
device=device,
activation=activation,
sigma=0,
use_bias=True).to(device)
model_path = f'trained_model/{activation}/epoch_1000.pth'
model.load_state_dict(torch.load(model_path, map_location=device))
model.eval()
analyzer = FixedPoint(model=model, device=device)
# compare fixed points
freq = 17
const_signal1 = np.repeat(freq / freq_range + 0.25, time_length)
const_signal1 = np.expand_dims(const_signal1, axis=1)
const_signal_tensor1 = torch.from_numpy(np.array([const_signal1]))
print(const_signal_tensor1.shape)
hidden = torch.zeros(1, 200)
hidden = hidden.to(device)
const_signal_tensor1 = const_signal_tensor1.float().to(device)
with torch.no_grad():
hidden_list, _, _ = model(const_signal_tensor1, hidden)
# different time of same trajectory.
fixed_point1, _ = analyzer.find_fixed_point(torch.unsqueeze(
hidden_list[:, 20, :], dim=0).to(device),
const_signal_tensor1,
view=True)
fixed_point2, _ = analyzer.find_fixed_point(
torch.unsqueeze(hidden_list[:, 15, :], dim=0).to(device),
const_signal_tensor1)
print(
'distance between 2 fixed point start from different IC; different time of same trajectory.'
)
print(torch.norm(fixed_point1 - fixed_point2).item())
# same time of different trajectories.
freq = 18
const_signal2 = np.repeat(freq / freq_range + 0.25, time_length)
const_signal2 = np.expand_dims(const_signal2, axis=1)
const_signal_tensor2 = torch.from_numpy(np.array([const_signal2]))
hidden = torch.zeros(1, 200)
hidden = hidden.to(device)
const_signal_tensor2 = const_signal_tensor2.float().to(device)
with torch.no_grad():
hidden_list, _, _ = model(const_signal_tensor2, hidden)
fixed_point3, _ = analyzer.find_fixed_point(
torch.unsqueeze(hidden_list[:, 20, :], dim=0).to(device),
const_signal_tensor2)
print(
'distance between 2 fixed point start from different IC; same time of different trajectories.'
)
print(torch.norm(fixed_point1 - fixed_point3).item())
def main(config_path, sigma_in, signal_length, time_length, epoch):
# hyper-parameter
with open(config_path, 'r') as f:
cfg = yaml.safe_load(f)
model_name = os.path.splitext(os.path.basename(config_path))[0]
# モデルのロード
torch.manual_seed(1)
device = torch.device('cuda' if torch.cuda.is_available() else 'cpu')
cfg['MODEL']['SIGMA_NEU'] = 0
model = RecurrentNeuralNetwork(
n_in=1,
n_out=2,
n_hid=cfg['MODEL']['SIZE'],
device=device,
alpha_time_scale=0.25,
beta_time_scale=cfg['MODEL']['BETA'],
activation=cfg['MODEL']['ACTIVATION'],
sigma_neu=cfg['MODEL']['SIGMA_NEU'],
sigma_syn=cfg['MODEL']['SIGMA_SYN'],
use_bias=cfg['MODEL']['USE_BIAS'],
anti_hebbian=cfg['MODEL']['ANTI_HEBB']).to(device)
model_path = f'../trained_model/freq/{model_name}/epoch_{epoch}.pth'
model.load_state_dict(torch.load(model_path, map_location=device))
model.eval()
os.makedirs('results/', exist_ok=True)
save_path = f'results/psychometric_curve/'
os.makedirs(save_path, exist_ok=True)
deltas = np.arange(-2, 2, 0.05)
N = 1000
score = np.zeros(deltas.shape[0])
delta_index = 0
print('delta score')
for delta in deltas:
output_list = np.zeros(N)
input_signal = romo_signal(delta, N, signal_length, sigma_in,
time_length)
input_signal_split = np.split(input_signal, 4)
for i in range(4):
hidden = torch.zeros(250, model.n_hid)
hidden = hidden.to(device)
inputs = torch.from_numpy(input_signal_split[i]).float()
inputs = inputs.to(device)
_, outputs, _, _ = model(inputs, hidden)
outputs_np = outputs.cpu().detach().numpy()
output_list[i * 250:(i + 1) * 250] = np.argmax(outputs_np[:, -1],
axis=1)
score[delta_index] = np.mean(output_list)
if delta_index % 5 == 0:
print(f'{delta:.3f}', np.mean(output_list))
delta_index += 1
if sigma_in == 0.05:
np.save(
os.path.join(save_path, f'{model_name}_{time_length}_{epoch}.npy'),
score)
else:
np.save(os.path.join(save_path, f'{model_name}_{sigma_in}.npy'), score)
def main(config_path, sigma_in, signal_length):
# hyper-parameter
with open(config_path, 'r') as f:
cfg = yaml.safe_load(f)
model_name = os.path.splitext(os.path.basename(config_path))[0]
os.makedirs('results/', exist_ok=True)
save_path = f'results/accuracy_w_dropout_noise_2/'
os.makedirs(save_path, exist_ok=True)
results_acc = np.zeros((11, 25))
for acc_idx in range(11):
# モデルのロード
torch.manual_seed(1)
device = torch.device('cuda' if torch.cuda.is_available() else 'cpu')
cfg['MODEL']['SIGMA_NEU'] = 0
model = RecurrentNeuralNetwork(n_in=1, n_out=2, n_hid=cfg['MODEL']['SIZE'], device=device,
alpha_time_scale=0.25, beta_time_scale=cfg['MODEL']['BETA'],
activation=cfg['MODEL']['ACTIVATION'],
sigma_neu=cfg['MODEL']['SIGMA_NEU'],
sigma_syn=cfg['MODEL']['SIGMA_SYN'],
use_bias=cfg['MODEL']['USE_BIAS'],
anti_hebbian=cfg['MODEL']['ANTI_HEBB']).to(device)
model_path = f'trained_model/romo/{model_name}/epoch_{cfg["TRAIN"]["NUM_EPOCH"]}.pth'
model.load_state_dict(torch.load(model_path, map_location=device))
model.eval()
# オリジナルの重み
original_w_hh = model.w_hh.weight.data.clone()
# add dropout noise
dropout_ratio = 0.05 * acc_idx
for noise_idx in range(25):
correct = 0
num_data = 0
mask = np.random.choice([0, 1], model.n_hid * model.n_hid, p=[dropout_ratio, 1 - dropout_ratio])
mask = mask.reshape(model.n_hid, model.n_hid)
torch_mask = torch.from_numpy(mask).float().to(device)
new_w = torch.mul(original_w_hh, torch_mask)
model.w_hh.weight = torch.nn.Parameter(new_w, requires_grad=False)
for delta_idx in range(10):
while True:
delta = np.random.rand() * 8 - 4
if abs(delta) >= 1:
break
N = 100
output_list = np.zeros(N)
input_signal = romo_signal(delta, N, signal_length, sigma_in)
input_signal_split = np.split(input_signal, 2)
for i in range(2):
hidden = torch.zeros(50, model.n_hid)
hidden = hidden.to(device)
inputs = torch.from_numpy(input_signal_split[i]).float()
inputs = inputs.to(device)
_, outputs, _, _ = model(inputs, hidden)
outputs_np = outputs.cpu().detach().numpy()
output_list[i * 50: (i + 1) * 50] = np.argmax(outputs_np[:, -1], axis=1)
num_data += 100
if delta > 0:
ans = 1
else:
ans = 0
correct += (output_list == ans).sum()
results_acc[acc_idx, noise_idx] = correct / num_data
np.save(os.path.join(save_path, f'{model_name}.npy'), results_acc)
def main(config_path, sigma_in, signal_length, time_point, model_epoch):
# hyper-parameter
with open(config_path, 'r') as f:
cfg = yaml.safe_load(f)
model_name = os.path.splitext(os.path.basename(config_path))[0]
os.makedirs('results/', exist_ok=True)
os.makedirs(f'results/{model_name}', exist_ok=True)
save_path = f'results/{model_name}/encoding_dimension/'
os.makedirs(save_path, exist_ok=True)
# モデルのロード
torch.manual_seed(1)
device = torch.device('cuda' if torch.cuda.is_available() else 'cpu')
cfg['MODEL']['SIGMA_NEU'] = 0
model = RecurrentNeuralNetwork(
n_in=1,
n_out=2,
n_hid=cfg['MODEL']['SIZE'],
device=device,
alpha_time_scale=0.25,
beta_time_scale=cfg['MODEL']['BETA'],
activation=cfg['MODEL']['ACTIVATION'],
sigma_neu=cfg['MODEL']['SIGMA_NEU'],
sigma_syn=cfg['MODEL']['SIGMA_SYN'],
use_bias=cfg['MODEL']['USE_BIAS'],
anti_hebbian=cfg['MODEL']['ANTI_HEBB']).to(device)
model_path = f'../trained_model/freq/{model_name}/epoch_{model_epoch}.pth'
model.load_state_dict(torch.load(model_path, map_location=device))
model.eval()
sample_num = 5000
neural_dynamics = np.zeros((sample_num, 201, model.n_hid))
input_signal, omega_1_list, omega_2_list = romo_signal(
sample_num, signal_length=signal_length, sigma_in=sigma_in)
input_signal_split = np.split(input_signal,
sample_num // cfg['TRAIN']['BATCHSIZE'])
# メモリを圧迫しないために推論はバッチサイズごとに分けて行う。
for i in range(sample_num // cfg['TRAIN']['BATCHSIZE']):
hidden = torch.zeros(cfg['TRAIN']['BATCHSIZE'], model.n_hid)
hidden = hidden.to(device)
inputs = torch.from_numpy(input_signal_split[i]).float()
inputs = inputs.to(device)
hidden_list, outputs, _, _ = model(inputs, hidden)
hidden_list_np = hidden_list.cpu().detach().numpy()
neural_dynamics[i * cfg['TRAIN']['BATCHSIZE']:(i + 1) *
cfg['TRAIN']['BATCHSIZE']] = hidden_list_np
sample_X = np.zeros([sample_num, model.n_hid])
sample_y = np.zeros(sample_num)
for i in range(sample_num):
sample_X[i:(i + 1), :] = neural_dynamics[i, time_point, :]
sample_y[i] = omega_1_list[i]
correct = 0
acc_list = np.zeros(300)
for i in range(300):
binary_def = np.random.choice([0, 1], 21)
omega_1_sample = [
1, 1.2, 1.4, 1.6, 1.8, 2.0, 2.2, 2.4, 2.6, 2.8, 3, 3.2, 3.4, 3.6,
3.8, 4.0, 4.2, 4.4, 4.6, 4.8, 5
]
binary_dict = {}
for j in range(21):
binary_dict[omega_1_sample[j]] = binary_def[j]
label = np.zeros(sample_num)
for j in range(sample_num):
if binary_dict[sample_y[j]] == 1:
label[j] = 1
else:
label[j] = 0
# 訓練データとテストデータを分離
train_X, test_X, train_label, test_label = train_test_split(
sample_X, label, random_state=0)
# 線形SVMのインスタンスを生成
linear_svc = LinearSVC(random_state=None, max_iter=5000)
# モデルの学習。fit関数で行う。
linear_svc.fit(train_X, train_label)
# テストデータに対する精度
pred_test = linear_svc.predict(test_X)
accuracy_test = accuracy_score(test_label, pred_test)
print('テストデータに対する正解率： %.2f' % accuracy_test)
if accuracy_test > 0.85:
correct += 1
acc_list[i] = accuracy_test
np.save(os.path.join(save_path, f'correct_ratio.npy'),
np.array(correct / 300))
np.save(os.path.join(save_path, f'acc_list.npy'), acc_list)
def main(activation):
os.makedirs('figures', exist_ok=True)
freq_range = 51
time_length = 40
device = torch.device('cuda' if torch.cuda.is_available() else 'cpu')
model = RecurrentNeuralNetwork(n_in=1,
n_out=1,
n_hid=200,
device=device,
activation=activation,
sigma=0,
use_bias=True).to(device)
model_path = f'trained_model/{activation}/epoch_1000.pth'
model.load_state_dict(torch.load(model_path, map_location=device))
model.eval()
freq = 17
const_signal = np.repeat(freq / freq_range + 0.25, time_length)
const_signal = np.expand_dims(const_signal, axis=1)
const_signal_tensor = torch.from_numpy(np.array([const_signal]))
analyzer = FixedPoint(model=model, device=device)
hidden = torch.zeros(1, 200)
hidden = hidden.to(device)
const_signal_tensor = const_signal_tensor.float().to(device)
with torch.no_grad():
hidden_list, _, _ = model(const_signal_tensor, hidden)
fixed_point, _ = analyzer.find_fixed_point(torch.unsqueeze(
hidden_list[:, 20, :], dim=0).to(device),
const_signal_tensor,
view=True)
# linear approximation around fixed point
jacobian = analyzer.calc_jacobian(fixed_point, const_signal_tensor)
# eigenvalue decomposition
w, v = np.linalg.eig(jacobian)
w_real = list()
w_im = list()
for eig in w:
w_real.append(eig.real)
w_im.append(eig.imag)
plt.scatter(w_real, w_im)
plt.xlabel(r'$Re(\lambda)$')
plt.ylabel(r'$Im(\lambda)$')
plt.savefig(f'figures/{activation}_eigenvalues.png', dpi=100)
eig_freq = list()
dynamics_freq = list()
for i in range(20):
freq = np.random.randint(1, freq_range + 1)
const_signal = np.repeat(freq / freq_range + 0.25, time_length)
const_signal = np.expand_dims(const_signal, axis=1)
const_signal_tensor = torch.from_numpy(np.array([const_signal]))
hidden = torch.zeros(1, 200)
hidden = hidden.to(device)
const_signal_tensor = const_signal_tensor.float().to(device)
with torch.no_grad():
hidden_list, _, _ = model(const_signal_tensor, hidden)
fixed_point, result_ok = analyzer.find_fixed_point(
torch.unsqueeze(hidden_list[:, 20, :], dim=0).to(device),
const_signal_tensor)
if not result_ok:
continue
jacobian = analyzer.calc_jacobian(fixed_point, const_signal_tensor)
w, v = np.linalg.eig(jacobian)
max_index = np.argmax(abs(w))
eig_freq.append(abs(w[max_index].imag))
dynamics_freq.append(freq)
plt.figure()
plt.scatter(eig_freq, dynamics_freq)
plt.xlabel(r'$|Im(\lambda_{max})|$')
plt.ylabel(r'$\omega$')
plt.title('relationship of frequency')
plt.savefig(f'figures/freq_{activation}.png', dpi=100)
def main(config_path):
torch.manual_seed(1)
device = torch.device('cpu')
with open(config_path, 'r') as f:
cfg = yaml.safe_load(f)
cfg['MODEL']['SIGMA_NEU'] = 0
model_name = os.path.splitext(os.path.basename(config_path))[0]
print('model_name: ', model_name)
model = RecurrentNeuralNetwork(
n_in=1,
n_out=2,
n_hid=cfg['MODEL']['SIZE'],
device=device,
alpha_time_scale=0.25,
beta_time_scale=cfg['MODEL']['BETA'],
activation=cfg['MODEL']['ACTIVATION'],
sigma_neu=cfg['MODEL']['SIGMA_NEU'],
sigma_syn=cfg['MODEL']['SIGMA_SYN'],
use_bias=cfg['MODEL']['USE_BIAS'],
anti_hebbian=cfg['MODEL']['ANTI_HEBB']).to(device)
model_path = f'../trained_model/freq/{model_name}/epoch_3000.pth'
model.load_state_dict(torch.load(model_path, map_location=device))
model.eval()
trial_num = 1000
signal_length = 15
sigma_in = 0.05
deltas = np.arange(-1, 1, 0.05)
score = np.zeros(deltas.shape[0])
delta_index = 0
acc_list = np.zeros(deltas.shape[0])
for delta in deltas:
output_list = np.zeros(trial_num)
input_signal = romo_signal(delta, trial_num, signal_length, sigma_in)
input_signal_split = np.split(input_signal, 4)
for i in range(4):
hidden = torch.zeros(250, model.n_hid)
hidden = hidden.to(device)
inputs = torch.from_numpy(input_signal_split[i]).float()
inputs = inputs.to(device)
_, outputs, _, _ = model(inputs, hidden)
outputs_np = outputs.cpu().detach().numpy()
output_list[i * 250:(i + 1) * 250] = np.argmax(outputs_np[:, -1],
axis=1)
score[delta_index] = np.mean(output_list)
if delta > 0:
acc_list[delta_index] = np.mean(output_list)
else:
acc_list[delta_index] = 1 - np.mean(output_list)
if delta_index % 5 == 0:
print(f'{delta:.3f}', np.mean(output_list))
delta_index += 1
os.makedirs('results', exist_ok=True)
os.makedirs(f'results/{model_name}', exist_ok=True)
print(np.mean(acc_list))
np.save(f'results/{model_name}/score.npy', np.array(score))
np.save(f'results/{model_name}/acc_list.npy', np.array(acc_list))
plt.plot(deltas, score, color='orange')
plt.xlabel(r'$\omega_2-\omega_1$', fontsize=16)
plt.savefig(f'results/{model_name}/psychometric_curve.png', dpi=200)
def main(config_path):
torch.manual_seed(1)
device = torch.device('cpu')
with open(config_path, 'r') as f:
cfg = yaml.safe_load(f)
cfg['MODEL']['SIGMA_NEU'] = 0
model_name = os.path.splitext(os.path.basename(config_path))[0]
print('model_name: ', model_name)
model = RecurrentNeuralNetwork(
n_in=1,
n_out=2,
n_hid=cfg['MODEL']['SIZE'],
device=device,
alpha_time_scale=0.25,
beta_time_scale=cfg['MODEL']['BETA'],
activation=cfg['MODEL']['ACTIVATION'],
sigma_neu=cfg['MODEL']['SIGMA_NEU'],
sigma_syn=cfg['MODEL']['SIGMA_SYN'],
use_bias=cfg['MODEL']['USE_BIAS'],
anti_hebbian=cfg['MODEL']['ANTI_HEBB']).to(device)
model_path = f'../trained_model/freq/{model_name}/epoch_3000.pth'
model.load_state_dict(torch.load(model_path, map_location=device))
model.eval()
trial_num = 3000
neural_dynamics = np.zeros((trial_num, 1001, model.n_hid))
outputs_np = np.zeros(trial_num)
input_signal, omega_1_list = romo_signal(trial_num,
signal_length=15,
sigma_in=0.05,
time_length=1000)
input_signal_split = np.split(input_signal,
trial_num // cfg['TRAIN']['BATCHSIZE'])
for i in range(trial_num // cfg['TRAIN']['BATCHSIZE']):
hidden = torch.zeros(cfg['TRAIN']['BATCHSIZE'], model.n_hid)
hidden = hidden.to(device)
inputs = torch.from_numpy(input_signal_split[i]).float()
inputs = inputs.to(device)
hidden_list, outputs, _, _ = model(inputs, hidden)
hidden_list_np = hidden_list.cpu().detach().numpy()
outputs_np[i * cfg['TRAIN']['BATCHSIZE']:(i + 1) *
cfg['TRAIN']['BATCHSIZE']] = np.argmax(
outputs.detach().numpy()[:, -1], axis=1)
neural_dynamics[i * cfg['TRAIN']['BATCHSIZE']:(i + 1) *
cfg['TRAIN']['BATCHSIZE']] = hidden_list_np
train_data, test_data, train_target, test_target = train_test_split(
neural_dynamics, omega_1_list, test_size=0.25)
clf_coef_norm = []
mse_list = []
os.makedirs('results', exist_ok=True)
os.makedirs(f'results/{model_name}', exist_ok=True)
for timepoint in range(15, 500, 10):
clf = Ridge(alpha=1.0)
clf.fit(train_data[:, timepoint, :], train_target)
clf_coef_norm.append(np.linalg.norm(clf.coef_))
mse = mean_squared_error(
clf.predict(test_data[:, timepoint, :]),
test_target,
)
mse_list.append(mse)
print(timepoint, mse)
plt.figure(constrained_layout=True)
plt.plot(
list(range(15, 500, 10)),
mse_list,
)
plt.ylim([0, 1])
plt.xlabel('timepoint', fontsize=16)
plt.ylabel('MSE', fontsize=16)
plt.savefig(f'results/{model_name}/memory_duration.png', dpi=200)
np.save(f'results/{model_name}/mse_list.npy', np.array(mse_list))
np.save(f'results/{model_name}/clf_coef_norm.npy', np.array(clf_coef_norm))
np.save(f'results/{model_name}/omega_1_list.npy', omega_1_list)
def main(config_path, sigma_in, signal_length):
# hyper-parameter
with open(config_path, 'r') as f:
cfg = yaml.safe_load(f)
cfg['MODEL']['ALPHA'] = 0.075
cfg['DATALOADER']['TIME_LENGTH'] = 200
cfg['DATALOADER']['SIGNAL_LENGTH'] = 50
cfg['DATALOADER']['VARIABLE_DELAY'] = 15
model_name = os.path.splitext(os.path.basename(config_path))[0]
os.makedirs('../results/', exist_ok=True)
save_path = f'../results/accuracy_w_dropout_noise_2/'
os.makedirs(save_path, exist_ok=True)
print('sigma_syn accuracy')
# performanceは1つの学習済みモデルに対してsigma_neu^testを0から0.1まで変えてそれぞれの正解率を記録する。
results_acc = np.zeros(11)
for acc_idx in range(11):
# モデルのロード
torch.manual_seed(1)
device = torch.device('cuda' if torch.cuda.is_available() else 'cpu')
cfg['MODEL']['SIGMA_NEU'] = 0
model = RecurrentNeuralNetwork(
n_in=1,
n_out=2,
n_hid=cfg['MODEL']['SIZE'],
device=device,
alpha_time_scale=cfg['MODEL']['ALPHA'],
beta_time_scale=cfg['MODEL']['BETA'],
activation=cfg['MODEL']['ACTIVATION'],
sigma_neu=cfg['MODEL']['SIGMA_NEU'],
sigma_syn=cfg['MODEL']['SIGMA_SYN'],
use_bias=cfg['MODEL']['USE_BIAS'],
anti_hebbian=cfg['MODEL']['ANTI_HEBB']).to(device)
model_path = f'../trained_model/freq_schedule/{model_name}/epoch_{cfg["TRAIN"]["NUM_EPOCH"]}.pth'
model.load_state_dict(torch.load(model_path, map_location=device))
model.eval()
# オリジナルの重み
original_w_hh = model.w_hh.weight.data.clone()
# weight_mean = np.mean(abs(original_w_hh.cpu().detach().numpy()))
# add dropout noise
dropout_ratio = 0.03 * acc_idx
correct = 0
num_data = 0
for noise_idx in range(25):
mask = np.random.choice([0, 1],
model.n_hid * model.n_hid,
p=[dropout_ratio, 1 - dropout_ratio])
mask = mask.reshape(model.n_hid, model.n_hid)
torch_mask = torch.from_numpy(mask).float().to(device)
new_w = torch.mul(original_w_hh, torch_mask)
model.w_hh.weight = torch.nn.Parameter(new_w, requires_grad=False)
for delta_idx in range(10):
while True:
delta = np.random.rand() * 8 - 4
if abs(delta) >= 1:
break
N = 100
output_list = np.zeros(N)
input_signal = romo_signal(delta, N,
cfg['DATALOADER']['TIME_LENGTH'],
cfg['DATALOADER']['SIGNAL_LENGTH'],
sigma_in, cfg['MODEL']['ALPHA'])
input_signal_split = np.split(input_signal, 2)
for i in range(2):
hidden = torch.zeros(50, model.n_hid)
hidden = hidden.to(device)
inputs = torch.from_numpy(input_signal_split[i]).float()
inputs = inputs.to(device)
_, outputs, _, _ = model(inputs, hidden)
outputs_np = outputs.cpu().detach().numpy()
output_list[i * 50:(i + 1) * 50] = np.argmax(
outputs_np[:, -1], axis=1)
num_data += 100
if delta > 0:
ans = 1
else:
ans = 0
correct += (output_list == ans).sum()
# if delta_idx % 10 == 0:
# print(delta_idx, delta, (output_list == ans).sum() / 100)
# print(f'{delta:.3f}', (output_list == ans).sum() / 200)
# print(correct / num_data)
results_acc[acc_idx] = correct / num_data
print(dropout_ratio, correct / num_data)
np.save(os.path.join(save_path, f'{model_name}.npy'), results_acc)
def main(config_path, sigma_in, signal_length, alpha):
# hyper-parameter
with open(config_path, 'r') as f:
cfg = yaml.safe_load(f)
model_name = os.path.splitext(os.path.basename(config_path))[0]
os.makedirs('results/', exist_ok=True)
save_path = f'results/w_ridge/'
os.makedirs(save_path, exist_ok=True)
# モデルのロード
torch.manual_seed(1)
device = torch.device('cuda' if torch.cuda.is_available() else 'cpu')
model = RecurrentNeuralNetwork(n_in=1, n_out=2, n_hid=cfg['MODEL']['SIZE'], device=device,
alpha_time_scale=0.25, beta_time_scale=cfg['MODEL']['BETA'],
activation=cfg['MODEL']['ACTIVATION'],
sigma_neu=cfg['MODEL']['SIGMA_NEU'],
sigma_syn=cfg['MODEL']['SIGMA_SYN'],
use_bias=cfg['MODEL']['USE_BIAS'],
anti_hebbian=cfg['MODEL']['ANTI_HEBB']).to(device)
model_path = f'trained_model/romo/{model_name}/epoch_{cfg["TRAIN"]["NUM_EPOCH"]}.pth'
model.load_state_dict(torch.load(model_path, map_location=device))
model.eval()
sample_num = 5000
neural_dynamics = np.zeros((sample_num, 61, model.n_hid))
input_signal, omega_1_list, omega_2_list = romo_signal(sample_num, signal_length=signal_length,
sigma_in=sigma_in)
input_signal_split = np.split(input_signal, sample_num // cfg['TRAIN']['BATCHSIZE'])
# メモリを圧迫しないために推論はバッチサイズごとに分けて行う。
for i in range(sample_num // cfg['TRAIN']['BATCHSIZE']):
hidden = torch.zeros(cfg['TRAIN']['BATCHSIZE'], model.n_hid)
hidden = hidden.to(device)
inputs = torch.from_numpy(input_signal_split[i]).float()
inputs = inputs.to(device)
hidden_list, outputs, _, _ = model(inputs, hidden)
hidden_list_np = hidden_list.cpu().detach().numpy()
neural_dynamics[i * cfg['TRAIN']['BATCHSIZE']: (i + 1) * cfg['TRAIN']['BATCHSIZE']] = hidden_list_np
sample_X_1 = np.zeros([30 * sample_num, model.n_hid])
sample_X_2 = np.zeros([sample_num, model.n_hid])
sample_y_1 = np.zeros([30 * sample_num])
sample_y_2 = np.zeros(sample_num)
for i in range(sample_num):
sample_X_1[i * 30: (i + 1) * 30, :] = neural_dynamics[i, 15:45, :] ** 2
sample_X_2[i, :] = neural_dynamics[i, 55, :] ** 2
sample_y_1[i * 30: (i + 1) * 30] = omega_1_list[i]
sample_y_2[i] = omega_2_list[i]
# 訓練データとテストデータを分離
train_X_1, test_X_1, train_y_1, test_y_1 = train_test_split(sample_X_1, sample_y_1, random_state=0)
train_X_2, test_X_2, train_y_2, test_y_2 = train_test_split(sample_X_2, sample_y_2, random_state=0)
ridge_1 = Ridge(alpha=alpha)
ridge_1.fit(train_X_1, train_y_1)
ridge_2 = Ridge(alpha=alpha)
ridge_2.fit(train_X_2, train_y_2)
np.save(os.path.join(save_path, f'{model_name}_omega_1.npy'), ridge_1.coef_)
np.save(os.path.join(save_path, f'{model_name}_omega_2.npy'), ridge_2.coef_)
def main(config_path, model_epoch):
# hyper-parameter
with open(config_path, 'r') as f:
cfg = yaml.safe_load(f)
model_name = os.path.splitext(os.path.basename(config_path))[0]
# save path
os.makedirs('fixed_points', exist_ok=True)
os.makedirs('fixed_points/freq', exist_ok=True)
save_path = f'fixed_points/freq/{model_name}_{model_epoch}'
os.makedirs(save_path, exist_ok=True)
# copy config file
shutil.copyfile(config_path,
os.path.join(save_path, os.path.basename(config_path)))
use_cuda = cfg['MACHINE']['CUDA'] and torch.cuda.is_available()
torch.manual_seed(cfg['MACHINE']['SEED'])
device = torch.device('cuda' if use_cuda else 'cpu')
print(device)
if 'ALPHA' not in cfg['MODEL'].keys():
cfg['MODEL']['ALPHA'] = 0.25
# cfg['DATALOADER']['TIME_LENGTH'] = 200
# cfg['DATALOADER']['SIGNAL_LENGTH'] = 50
cfg['DATALOADER']['VARIABLE_DELAY'] = 0
# model load
model = RecurrentNeuralNetwork(
n_in=1,
n_out=2,
n_hid=cfg['MODEL']['SIZE'],
device=device,
alpha_time_scale=cfg['MODEL']['ALPHA'],
beta_time_scale=cfg['MODEL']['BETA'],
activation=cfg['MODEL']['ACTIVATION'],
sigma_neu=cfg['MODEL']['SIGMA_NEU'],
sigma_syn=cfg['MODEL']['SIGMA_SYN'],
use_bias=cfg['MODEL']['USE_BIAS'],
anti_hebbian=cfg['MODEL']['ANTI_HEBB']).to(device)
model_path = f'trained_model/freq/{model_name}/epoch_{model_epoch}.pth'
model.load_state_dict(torch.load(model_path, map_location=device))
model.eval()
eval_dataset = FreqDataset(
time_length=cfg['DATALOADER']['TIME_LENGTH'],
time_scale=cfg['MODEL']['ALPHA'],
freq_min=cfg['DATALOADER']['FREQ_MIN'],
freq_max=cfg['DATALOADER']['FREQ_MAX'],
min_interval=cfg['DATALOADER']['MIN_INTERVAL'],
signal_length=cfg['DATALOADER']['SIGNAL_LENGTH'],
variable_signal_length=cfg['DATALOADER']['VARIABLE_SIGNAL_LENGTH'],
sigma_in=cfg['DATALOADER']['SIGMA_IN'],
delay_variable=cfg['DATALOADER']['VARIABLE_DELAY'])
eval_dataloader = torch.utils.data.DataLoader(
eval_dataset,
batch_size=cfg['TRAIN']['BATCHSIZE'],
num_workers=2,
shuffle=True,
worker_init_fn=lambda x: np.random.seed())
analyzer = FixedPoint(model=model,
device=device,
alpha=cfg['MODEL']['ALPHA'],
max_epochs=140000)
for trial in range(50):
for i, data in enumerate(eval_dataloader):
inputs, target = data
# print(inputs.shape)
inputs, target = inputs.float(), target.long()
inputs, target = Variable(inputs).to(device), Variable(target).to(
device)
hidden = torch.zeros(cfg['TRAIN']['BATCHSIZE'],
cfg['MODEL']['SIZE'])
hidden = hidden.to(device)
hidden = hidden.detach()
hidden_list, output, hidden, _ = model(inputs, hidden)
# const_signal = torch.tensor([0] * 1)
# const_signal = const_signal.float().to(device)
reference_time_point = np.random.randint(35, 55)
fixed_point, result_ok = analyzer.find_fixed_point(
hidden_list[0, reference_time_point], view=True)
fixed_point = fixed_point.detach().cpu().numpy()
# print(fixed_point)
# fixed_point_tensor = torch.from_numpy(fixed_point).float()
# jacobian = analyzer.calc_jacobian(fixed_point_tensor, const_signal)
# print(np.dot(model.w_out.weight.detach().cpu().numpy(), fixed_point))
# w, v = np.linalg.eig(jacobian)
# print('eigenvalues', w)
np.savetxt(os.path.join(save_path, f'fixed_point_{trial}_{i}.txt'),
fixed_point)
def main(config_path, sigma_in, signal_length, model_epoch):
# hyper-parameter
with open(config_path, 'r') as f:
cfg = yaml.safe_load(f)
model_name = os.path.splitext(os.path.basename(config_path))[0]
os.makedirs('results_20210203/', exist_ok=True)
os.makedirs(f'results_20210203/{model_name}', exist_ok=True)
save_path = f'results_20210203/{model_name}/encoding_dimension_time_series/'
os.makedirs(save_path, exist_ok=True)
# モデルのロード
torch.manual_seed(1)
device = torch.device('cuda' if torch.cuda.is_available() else 'cpu')
cfg['MODEL']['SIGMA_NEU'] = 0
model = RecurrentNeuralNetwork(
n_in=1,
n_out=2,
n_hid=cfg['MODEL']['SIZE'],
device=device,
alpha_time_scale=0.25,
beta_time_scale=cfg['MODEL']['BETA'],
activation=cfg['MODEL']['ACTIVATION'],
sigma_neu=cfg['MODEL']['SIGMA_NEU'],
sigma_syn=cfg['MODEL']['SIGMA_SYN'],
use_bias=cfg['MODEL']['USE_BIAS'],
anti_hebbian=cfg['MODEL']['ANTI_HEBB']).to(device)
model_path = f'../trained_model/freq_20210203/{model_name}/epoch_{model_epoch}.pth'
model.load_state_dict(torch.load(model_path, map_location=device))
model.eval()
correct_ratio = np.zeros(6)
acc_list = np.zeros([6, 200])
division_num = 7
# time_sample = np.linspace(25, 45, division_num)
time_sample = [42, 43, 44, 45, 46, 47, 48]
# time_sample = [25, 26, 27, 28, 29, 30, 31]
omega_idx = 0
for omega_1 in [1, 1.8, 2.6, 3.4, 4.2, 5]:
sample_num = 100
neural_dynamics = np.zeros((sample_num, 61, model.n_hid))
input_signal, omega_2_list = romo_signal_fixed_omega_1(
omega_1,
sample_num,
signal_length=signal_length,
sigma_in=sigma_in)
input_signal_split = np.split(input_signal,
sample_num // cfg['TRAIN']['BATCHSIZE'])
base_1 = np.random.randn(256)
base_2 = np.random.randn(256)
base_3 = np.random.randn(256)
base_4 = np.random.randn(256)
base_5 = np.random.randn(256)
base_6 = np.random.randn(256)
# メモリを圧迫しないために推論はバッチサイズごとに分けて行う。
for i in range(sample_num // cfg['TRAIN']['BATCHSIZE']):
hidden = torch.zeros(cfg['TRAIN']['BATCHSIZE'], model.n_hid)
hidden = hidden.to(device)
inputs = torch.from_numpy(input_signal_split[i]).float()
inputs = inputs.to(device)
hidden_list, outputs, _, _ = model(inputs, hidden)
hidden_list_np = hidden_list.cpu().detach().numpy()
neural_dynamics[i * cfg['TRAIN']['BATCHSIZE']:(i + 1) *
cfg['TRAIN']['BATCHSIZE']] = hidden_list_np
# neural_dynamics[i * cfg['TRAIN']['BATCHSIZE']: (i + 1) * cfg['TRAIN']['BATCHSIZE']] = np.array([np.random.randn() * base_1 for i in range(61)])
sample_X = np.zeros([division_num, model.n_hid])
sample_y = np.zeros(division_num)
for i, time in enumerate(time_sample):
# time = np.random.choice(time_sample)
sample_X[i, :] = neural_dynamics[0, int(time), :]
sample_y[i] = int(time)
# print(sample_y)
correct = 0
for i in range(200):
while True:
binary_def = np.random.choice([0, 1], division_num)
# print(binary_def)
if binary_def.tolist().count(
1) > 1 and binary_def.tolist().count(0) > 1:
# print(len([binary_def[j] == 0 for j in range(division_num)]))
# print(len([binary_def[j] == 1 for j in range(division_num)]))
break
binary_dict = {}
for j in range(division_num):
binary_dict[time_sample[j]] = binary_def[j]
label = np.zeros(division_num)
for j in range(division_num):
if binary_dict[sample_y[j]] == 1:
label[j] = 1
else:
label[j] = 0
# 訓練データとテストデータを分離
# train_X, test_X, train_label, test_label = train_test_split(sample_X, label, random_state=0)
# 線形SVMのインスタンスを生成
linear_svc = LinearSVC(random_state=None, max_iter=5000)
# モデルの学習。fit関数で行う。
linear_svc.fit(sample_X, label)
# train dataに対する精度
pred_train = linear_svc.predict(sample_X)
accuracy_train = accuracy_score(label, pred_train)
# print(f'omega_1: {omega_1}, train acc: {accuracy_train:.2f}')
# テストデータに対する精度
# pred_test = linear_svc.predict(test_X)
# accuracy_test = accuracy_score(test_label, pred_test)
# print(f'omega_1: {omega_1}, train acc: {accuracy_train:.2f}, test acc: {accuracy_test:.2f}')
if accuracy_train > 0.85:
correct += 1
acc_list[omega_idx, i] = accuracy_train
correct_ratio[omega_idx] = correct / 200
omega_idx += 1
np.save(os.path.join(save_path, f'correct_ratio.npy'), correct_ratio)
np.save(os.path.join(save_path, 'acc_list.npy'), acc_list)
print(np.mean(acc_list))
def main(config_path, sigma_in, signal_length, trial_num):
# hyper-parameter
with open(config_path, 'r') as f:
cfg = yaml.safe_load(f)
model_name = os.path.splitext(os.path.basename(config_path))[0]
# モデルのロード
torch.manual_seed(1)
device = torch.device('cuda' if torch.cuda.is_available() else 'cpu')
cfg['MODEL']['SIGMA_NEU'] = 0
model = RecurrentNeuralNetwork(
n_in=1,
n_out=2,
n_hid=cfg['MODEL']['SIZE'],
device=device,
alpha_time_scale=0.25,
beta_time_scale=cfg['MODEL']['BETA'],
activation=cfg['MODEL']['ACTIVATION'],
sigma_neu=cfg['MODEL']['SIGMA_NEU'],
sigma_syn=cfg['MODEL']['SIGMA_SYN'],
use_bias=cfg['MODEL']['USE_BIAS'],
anti_hebbian=cfg['MODEL']['ANTI_HEBB']).to(device)
model_path = f'trained_model/romo/{model_name}/epoch_500.pth'
model.load_state_dict(torch.load(model_path, map_location=device))
model.eval()
os.makedirs('results/', exist_ok=True)
save_path = f'results/freq_correlation/'
os.makedirs(save_path, exist_ok=True)
neural_dynamics = np.zeros((trial_num, 61, model.n_hid))
input_signal, omega_1_list, omega_2_list = romo_signal(
trial_num, signal_length, sigma_in)
input_signal_split = np.split(input_signal,
trial_num // cfg['TRAIN']['BATCHSIZE'])
# メモリを圧迫しないために推論はバッチサイズごとに分けて行う。
for i in range(trial_num // cfg['TRAIN']['BATCHSIZE']):
hidden = torch.zeros(cfg['TRAIN']['BATCHSIZE'], model.n_hid)
hidden = hidden.to(device)
inputs = torch.from_numpy(input_signal_split[i]).float()
inputs = inputs.to(device)
hidden_list, outputs, _, _ = model(inputs, hidden)
hidden_list_np = hidden_list.cpu().detach().numpy()
neural_dynamics[i * cfg['TRAIN']['BATCHSIZE']:(i + 1) *
cfg['TRAIN']['BATCHSIZE']] = hidden_list_np
# 各neuron index, 時間ごとにcorrelation(Spearmanの順位相関係数）を計算する。
# 期間はt=10~60の50単位時間にかけて
omega_1_correlation = np.zeros((50, model.n_hid))
omega_2_correlation = np.zeros((50, model.n_hid))
# omega_1
for time in range(10, 60):
for neuron_idx in range(model.n_hid):
spearman_r, _ = spearmanr(neural_dynamics[:, time, neuron_idx],
omega_1_list)
omega_1_correlation[time - 10, neuron_idx] = spearman_r
# omega_2
for time in range(10, 60):
for neuron_idx in range(model.n_hid):
spearman_r, _ = spearmanr(neural_dynamics[:, time, neuron_idx],
omega_2_list)
omega_2_correlation[time - 10, neuron_idx] = spearman_r
np.save(
os.path.join(save_path,
f'{model_name}_{sigma_in}_{trial_num}_omega_1.npy'),
omega_1_correlation)
np.save(
os.path.join(save_path,
f'{model_name}_{sigma_in}_{trial_num}_omega_2.npy'),
omega_2_correlation)
def main(config_path, model_epoch):
torch.manual_seed(1)
device = torch.device('cpu')
with open(config_path, 'r') as f:
cfg = yaml.safe_load(f)
cfg['MODEL']['SIGMA_NEU'] = 0
model_name = os.path.splitext(os.path.basename(config_path))[0]
print('model_name: ', model_name)
model = RecurrentNeuralNetwork(
n_in=1,
n_out=2,
n_hid=cfg['MODEL']['SIZE'],
device=device,
alpha_time_scale=0.25,
beta_time_scale=cfg['MODEL']['BETA'],
activation=cfg['MODEL']['ACTIVATION'],
sigma_neu=cfg['MODEL']['SIGMA_NEU'],
sigma_syn=cfg['MODEL']['SIGMA_SYN'],
use_bias=cfg['MODEL']['USE_BIAS'],
anti_hebbian=cfg['MODEL']['ANTI_HEBB']).to(device)
model_path = f'../trained_model/freq/{model_name}/epoch_{model_epoch}.pth'
model.load_state_dict(torch.load(model_path, map_location=device))
model.eval()
trial_num = 100
neural_dynamics = np.zeros((trial_num, 2001, model.n_hid))
outputs_np = np.zeros(trial_num)
input_signal, omega_1_list = romo_signal(trial_num,
signal_length=15,
sigma_in=0.05,
time_length=2000)
input_signal_split = np.split(input_signal,
trial_num // cfg['TRAIN']['BATCHSIZE'])
for i in range(trial_num // cfg['TRAIN']['BATCHSIZE']):
hidden = torch.zeros(cfg['TRAIN']['BATCHSIZE'], model.n_hid)
hidden = hidden.to(device)
inputs = torch.from_numpy(input_signal_split[i]).float()
inputs = inputs.to(device)
hidden_list, outputs, _, _ = model(inputs, hidden)
hidden_list_np = hidden_list.cpu().detach().numpy()
outputs_np[i * cfg['TRAIN']['BATCHSIZE']:(i + 1) *
cfg['TRAIN']['BATCHSIZE']] = np.argmax(
outputs.detach().numpy()[:, -1], axis=1)
neural_dynamics[i * cfg['TRAIN']['BATCHSIZE']:(i + 1) *
cfg['TRAIN']['BATCHSIZE']] = hidden_list_np
norm_list = []
for i in range(300):
norm_list.append(
np.linalg.norm(neural_dynamics[0, i + 500, :] -
neural_dynamics[0, 500, :]))
period_list = []
period = np.argmin(norm_list[1:])
os.makedirs('results', exist_ok=True)
os.makedirs(f'results/{model_name}', exist_ok=True)
for i in range(40, 1500):
period_list.append(
np.mean(
np.linalg.norm(neural_dynamics[:, i, :] -
neural_dynamics[:, i + period + 1, :],
axis=1)))
print(np.min(period_list))
if np.min(period_list) > 0.05:
for i in range(len(period_list)):
# print(period_list[i])
if period_list[i] < np.min(period_list) * 1.05:
print(i + 40, '!')
break
else:
for i in range(len(period_list)):
# print(period_list[i])
if period_list[i] < 0.05:
print(i + 40)
break
plt.figure(constrained_layout=True)
plt.plot(period_list)
plt.xlabel('time', fontsize=16)
plt.ylabel(r'$|x(t)-x(t+T_L)|$', fontsize=16)
plt.title(model_name, fontsize=16)
plt.savefig(f'results/{model_name}/convergence.png', dpi=200)
def main(config_path):
torch.manual_seed(1)
device = torch.device('cpu')
with open(config_path, 'r') as f:
cfg = yaml.safe_load(f)
cfg['MODEL']['SIGMA_NEU'] = 0
model_name = os.path.splitext(os.path.basename(config_path))[0]
print('model_name: ', model_name)
convergence_list = []
for epoch in range(500, 3100, 100):
model = RecurrentNeuralNetwork(n_in=1, n_out=2, n_hid=cfg['MODEL']['SIZE'], device=device,
alpha_time_scale=0.25, beta_time_scale=cfg['MODEL']['BETA'],
activation=cfg['MODEL']['ACTIVATION'],
sigma_neu=cfg['MODEL']['SIGMA_NEU'],
sigma_syn=cfg['MODEL']['SIGMA_SYN'],
use_bias=cfg['MODEL']['USE_BIAS'],
anti_hebbian=cfg['MODEL']['ANTI_HEBB']).to(device)
model_path = f'../trained_model/freq/{model_name}/epoch_{epoch}.pth'
model.load_state_dict(torch.load(model_path, map_location=device))
model.eval()
trial_num = 100
neural_dynamics = np.zeros((trial_num, 2001, model.n_hid))
outputs_np = np.zeros(trial_num)
input_signal, omega_1_list = romo_signal(trial_num, signal_length=15, sigma_in=0.05, time_length=2000)
input_signal_split = np.split(input_signal, trial_num // cfg['TRAIN']['BATCHSIZE'])
for i in range(trial_num // cfg['TRAIN']['BATCHSIZE']):
hidden = torch.zeros(cfg['TRAIN']['BATCHSIZE'], model.n_hid)
hidden = hidden.to(device)
inputs = torch.from_numpy(input_signal_split[i]).float()
inputs = inputs.to(device)
hidden_list, outputs, _, _ = model(inputs, hidden)
hidden_list_np = hidden_list.cpu().detach().numpy()
outputs_np[i * cfg['TRAIN']['BATCHSIZE']: (i + 1) * cfg['TRAIN']['BATCHSIZE']] = np.argmax(
outputs.detach().numpy()[:, -1], axis=1)
neural_dynamics[i * cfg['TRAIN']['BATCHSIZE']: (i + 1) * cfg['TRAIN']['BATCHSIZE']] = hidden_list_np
norm_list = []
for timepoint in range(15, 45):
active_norm = np.mean(np.linalg.norm(neural_dynamics[:, timepoint, :], axis=1))
norm_list.append(active_norm)
min_norm = np.min(norm_list)
speed_list = []
for timepoint in range(40, 50):
active_speed = np.mean(
np.linalg.norm(neural_dynamics[:, timepoint, :] - neural_dynamics[:, timepoint-1, :], axis=1))
speed_list.append(active_speed)
mean_speed = np.mean(speed_list)
norm_list = []
for timepoint in range(40, 50):
active_norm = np.mean(np.linalg.norm(neural_dynamics[:, timepoint, :], axis=1))
norm_list.append(active_norm)
mean_norm = np.mean(norm_list)
for i in range(trial_num // cfg['TRAIN']['BATCHSIZE']):
hidden = torch.zeros(cfg['TRAIN']['BATCHSIZE'], model.n_hid)
hidden = hidden.to(device)
inputs = torch.from_numpy(input_signal_split[i]).float()
inputs = inputs.to(device)
hidden_list, outputs, _, _ = model(inputs, hidden)
hidden_list_np = hidden_list.cpu().detach().numpy()
outputs_np[i * cfg['TRAIN']['BATCHSIZE']: (i + 1) * cfg['TRAIN']['BATCHSIZE']] = np.argmax(
outputs.detach().numpy()[:, -1], axis=1)
neural_dynamics[i * cfg['TRAIN']['BATCHSIZE']: (i + 1) * cfg['TRAIN']['BATCHSIZE']] = hidden_list_np
norm_list = []
for i in range(300):
norm_list.append(np.linalg.norm(neural_dynamics[0, i + 500, :] - neural_dynamics[0, 500, :]))
mean_lim_cycle_radius = np.mean(np.linalg.norm(neural_dynamics[:, 500:600, :], axis=2))
period_list = []
period = np.argmin(norm_list[1:])
for i in range(40, 1500):
period_list.append(
np.mean(np.linalg.norm(neural_dynamics[:, i, :] - neural_dynamics[:, i + period + 1, :], axis=1)))
"""
trial_num = 1000
neural_dynamics = np.zeros((trial_num, 1001, model.n_hid))
outputs_np = np.zeros(trial_num)
input_signal, omega_1_list = romo_signal(trial_num, signal_length=15, sigma_in=0.05, time_length=1000)
input_signal_split = np.split(input_signal, trial_num // cfg['TRAIN']['BATCHSIZE'])
for i in range(trial_num // cfg['TRAIN']['BATCHSIZE']):
hidden = torch.zeros(cfg['TRAIN']['BATCHSIZE'], model.n_hid)
hidden = hidden.to(device)
inputs = torch.from_numpy(input_signal_split[i]).float()
inputs = inputs.to(device)
hidden_list, outputs, _, _ = model(inputs, hidden)
hidden_list_np = hidden_list.cpu().detach().numpy()
outputs_np[i * cfg['TRAIN']['BATCHSIZE']: (i + 1) * cfg['TRAIN']['BATCHSIZE']] = np.argmax(
outputs.detach().numpy()[:, -1], axis=1)
neural_dynamics[i * cfg['TRAIN']['BATCHSIZE']: (i + 1) * cfg['TRAIN']['BATCHSIZE']] = hidden_list_np
pca = PCA()
pca.fit(neural_dynamics[:, 45, :])
pc_lin_dim = np.sum(pca.explained_variance_) ** 2 / np.sum(pca.explained_variance_ ** 2)
"""
if np.min(period_list) > 0.05:
for i in range(len(period_list)):
# print(period_list[i])
if period_list[i] < np.min(period_list) * 1.05:
print(epoch, min_norm, mean_speed, i + 40, mean_lim_cycle_radius, mean_norm, '!')
convergence_list.append(i+40)
break
else:
for i in range(len(period_list)):
# print(period_list[i])
if period_list[i] < 0.05:
print(epoch, min_norm, mean_speed, i + 40, mean_lim_cycle_radius, mean_norm)
convergence_list.append(i + 40)
break
plt.plot(
np.arange(500, 3100, 100),
convergence_list,
color='coral',
)
plt.xlabel('Epoch')
plt.ylabel('Convergence time')
plt.savefig('convergence_log.png', dpi=200)
def main(config_path, sigma_in, signal_length):
# hyper-parameter
with open(config_path, 'r') as f:
cfg = yaml.safe_load(f)
model_name = os.path.splitext(os.path.basename(config_path))[0]
os.makedirs('results/', exist_ok=True)
save_path = f'results/accuracy_w_synaptic_noise_2/'
os.makedirs(save_path, exist_ok=True)
print('sigma_syn accuracy')
# performanceは1つの学習済みモデルに対してsigma_neu^testを0から0.1まで変えてそれぞれの正解率を記録する。
results_acc = np.zeros((11, 25))
for acc_idx in range(11):
# モデルのロード
torch.manual_seed(1)
device = torch.device('cuda' if torch.cuda.is_available() else 'cpu')
cfg['MODEL']['SIGMA_NEU'] = 0
model = RecurrentNeuralNetwork(
n_in=1,
n_out=2,
n_hid=cfg['MODEL']['SIZE'],
device=device,
alpha_time_scale=0.25,
beta_time_scale=cfg['MODEL']['BETA'],
activation=cfg['MODEL']['ACTIVATION'],
sigma_neu=cfg['MODEL']['SIGMA_NEU'],
sigma_syn=cfg['MODEL']['SIGMA_SYN'],
use_bias=cfg['MODEL']['USE_BIAS'],
anti_hebbian=cfg['MODEL']['ANTI_HEBB']).to(device)
model_path = f'trained_model/romo/{model_name}/epoch_{cfg["TRAIN"]["NUM_EPOCH"]}.pth'
model.load_state_dict(torch.load(model_path, map_location=device))
model.eval()
# オリジナルの重み
original_w_hh = model.w_hh.weight.data.clone()
weight_mean = np.mean(abs(original_w_hh.cpu().detach().numpy()))
# add synaptic noise
sigma_syn = 0.01 * acc_idx
# 元々のシナプス重みに関してnormalizeする
sigma_syn = sigma_syn * weight_mean / 0.04
for noise_idx in range(25):
correct = 0
num_data = 0
synaptic_noise = torch.randn(
(cfg['MODEL']['SIZE'], cfg['MODEL']['SIZE'])) * sigma_syn
synaptic_noise = synaptic_noise.to(device)
new_w = original_w_hh + synaptic_noise
model.w_hh.weight = torch.nn.Parameter(new_w, requires_grad=False)
for delta_idx in range(10):
while True:
delta = np.random.rand() * 8 - 4
if abs(delta) >= 1:
break
N = 100
output_list = np.zeros(N)
input_signal = romo_signal(delta, N, signal_length, sigma_in)
input_signal_split = np.split(input_signal, 2)
for i in range(2):
hidden = torch.zeros(50, model.n_hid)
hidden = hidden.to(device)
inputs = torch.from_numpy(input_signal_split[i]).float()
inputs = inputs.to(device)
_, outputs, _, _ = model(inputs, hidden)
outputs_np = outputs.cpu().detach().numpy()
output_list[i * 50:(i + 1) * 50] = np.argmax(
outputs_np[:, -1], axis=1)
num_data += 100
if delta > 0:
ans = 1
else:
ans = 0
correct += (output_list == ans).sum()
# if delta_idx % 10 == 0:
# print(delta_idx, delta, (output_list == ans).sum() / 200)
# print(f'{delta:.3f}', (output_list == ans).sum() / 200)
results_acc[acc_idx, noise_idx] = correct / num_data
np.save(os.path.join(save_path, f'{model_name}.npy'), results_acc)
def main(config_path):
torch.manual_seed(1)
device = torch.device('cpu')
with open(config_path, 'r') as f:
cfg = yaml.safe_load(f)
cfg['MODEL']['SIGMA_NEU'] = 0
model_name = os.path.splitext(os.path.basename(config_path))[0]
print('model_name: ', model_name)
model = RecurrentNeuralNetwork(
n_in=1,
n_out=2,
n_hid=cfg['MODEL']['SIZE'],
device=device,
alpha_time_scale=0.25,
beta_time_scale=cfg['MODEL']['BETA'],
activation=cfg['MODEL']['ACTIVATION'],
sigma_neu=cfg['MODEL']['SIGMA_NEU'],
sigma_syn=cfg['MODEL']['SIGMA_SYN'],
use_bias=cfg['MODEL']['USE_BIAS'],
anti_hebbian=cfg['MODEL']['ANTI_HEBB']).to(device)
model_path = f'../trained_model/freq/{model_name}/epoch_3000.pth'
model.load_state_dict(torch.load(model_path, map_location=device))
model.eval()
trial_num = 3000
neural_dynamics = np.zeros((trial_num, 101, model.n_hid))
outputs_np = np.zeros(trial_num)
input_signal, omega_1_list = romo_signal(trial_num,
signal_length=15,
sigma_in=0.05,
time_length=100)
input_signal_split = np.split(input_signal,
trial_num // cfg['TRAIN']['BATCHSIZE'])
for i in range(trial_num // cfg['TRAIN']['BATCHSIZE']):
hidden = torch.zeros(cfg['TRAIN']['BATCHSIZE'], model.n_hid)
hidden = hidden.to(device)
inputs = torch.from_numpy(input_signal_split[i]).float()
inputs = inputs.to(device)
hidden_list, outputs, _, _ = model(inputs, hidden)
hidden_list_np = hidden_list.cpu().detach().numpy()
outputs_np[i * cfg['TRAIN']['BATCHSIZE']:(i + 1) *
cfg['TRAIN']['BATCHSIZE']] = np.argmax(
outputs.detach().numpy()[:, -1], axis=1)
neural_dynamics[i * cfg['TRAIN']['BATCHSIZE']:(i + 1) *
cfg['TRAIN']['BATCHSIZE']] = hidden_list_np
os.makedirs('results', exist_ok=True)
os.makedirs(f'results/{model_name}', exist_ok=True)
speed_list = []
for timepoint in range(16, 45):
trajectory_speed = np.mean(
np.linalg.norm(
neural_dynamics[:, timepoint, :] -
neural_dynamics[:, timepoint - 1, :],
axis=1,
))
speed_list.append(trajectory_speed)
print(timepoint, trajectory_speed)
plt.figure(constrained_layout=True)
plt.plot(
list(range(16, 45)),
speed_list,
)
plt.xlabel('timepoint', fontsize=16)
plt.ylabel(r'$|x(t)|$', fontsize=16)
plt.savefig(f'results/{model_name}/trajectory_speed.png', dpi=200)
np.save(f'results/{model_name}/trajectory_speed.npy', np.array(speed_list))
def main(activation):
os.makedirs('figures', exist_ok=True)
freq_range = 51
time_length = 40
device = torch.device('cuda' if torch.cuda.is_available() else 'cpu')
model = RecurrentNeuralNetwork(n_in=1, n_out=1, n_hid=200, device=device,
activation=activation, sigma=0, use_bias=True).to(device)
model_path = f'trained_model/{activation}/epoch_1000.pth'
model.load_state_dict(torch.load(model_path, map_location=device))
model.eval()
analyzer = FixedPoint(model=model, device=device, max_epochs=200000)
hidden_list_list = np.zeros([30 * time_length, model.n_hid])
fixed_point_list = np.zeros([15, model.n_hid])
i = 0
while i < 15:
freq = np.random.randint(10, freq_range + 1)
const_signal = np.repeat(freq / freq_range + 0.25, time_length)
const_signal = np.expand_dims(const_signal, axis=1)
const_signal_tensor = torch.from_numpy(np.array([const_signal]))
hidden = torch.zeros(1, 200)
hidden = hidden.to(device)
const_signal_tensor = const_signal_tensor.float().to(device)
with torch.no_grad():
hidden_list, _, _ = model(const_signal_tensor, hidden)
fixed_point, result_ok = analyzer.find_fixed_point(torch.unsqueeze(hidden_list[:, 20, :], dim=0).to(device),
const_signal_tensor)
if not result_ok:
continue
hidden_list_list[i * time_length:(i + 1) * time_length, ...] = hidden_list.cpu().numpy()[:, ...]
fixed_point_list[i] = fixed_point.detach().cpu().numpy()
i += 1
pca = PCA(n_components=3)
pca.fit(hidden_list_list)
fig = plt.figure()
ax = Axes3D(fig, rect=[0, 0, .95, 1], elev=45, azim=134)
ax.set_xlabel('PC1')
ax.set_ylabel('PC2')
ax.set_zlabel('PC3')
print(hidden_list_list.shape)
print(fixed_point_list.shape)
pc_trajectory = pca.transform(hidden_list_list)
pc_fixed_point = pca.transform(fixed_point_list)
for i in range(15):
ax.plot(pc_trajectory.T[0, i * time_length:(i + 1) * time_length],
pc_trajectory.T[1, i * time_length:(i + 1) * time_length],
pc_trajectory.T[2, i * time_length:(i + 1) * time_length], color='royalblue')
ax.scatter(pc_fixed_point.T[0], pc_fixed_point.T[1], pc_fixed_point.T[2], color='red', marker='x')
plt.title('trajectory')
plt.savefig(f'figures/trajectory_{activation}.png', dpi=100)