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import wandb
import numpy as np
from data_generators import PeriodicLinearParameterFlip
from algs import IDBD, LMS, FADE, FADE_IDBD
from algs import IDBD_FixedWD, LMS_FixedWD, CoupledWDSSAdaptation
PROJECT_NAME = "fade-adaptive-weight-decay"
config_dict = dict(
seed=45,
algorithm="fade", # "lms", "lms_fixed_wd", "idbd", "fade", "fade_idbd", "idbd_fixed_wd", "coupled_wd_ss_adaptation"
# problem specification
period=20,
num_total_components=20,
num_flipping_components=5,
noise_level=0.0,
# training
num_samples=200000,
step_size=0.1,
initial_beta=-4.6,
meta_step_size=0.01,
initial_gamma=-1.2,
# logging
error_over_last=200000,
log_interval=1000,
# used for fixed weight decay algorithms
weight_decay=0.0001,
)
def build_algorithm(config, n):
name = config.algorithm
initial_beta = config.initial_beta if config.initial_beta is not None else np.log(1.0 / n)
if name == "lms":
return LMS(num_features=n, step_size=config.step_size, seed=config.seed)
elif name == "lms_fixed_wd":
return LMS_FixedWD(num_features=n, step_size=config.step_size,
weight_decay=config.weight_decay, seed=config.seed)
elif name == "idbd":
return IDBD(num_features=n, meta_step_size=config.meta_step_size,
initial_beta=initial_beta, seed=config.seed)
elif name == "fade":
return FADE(num_features=n, lr=config.step_size,
meta_step_size=config.meta_step_size,
initial_gamma=config.initial_gamma, seed=config.seed)
elif name == "fade_idbd":
# For simplicity, we use the same meta step size for both alpha and lambda.
return FADE_IDBD(num_features=n,
meta_step_size_alpha=config.meta_step_size,
meta_step_size_lambda=config.meta_step_size,
initial_beta=initial_beta,
initial_gamma=config.initial_gamma,
seed=config.seed)
elif name == "idbd_fixed_wd":
return IDBD_FixedWD(num_features=n, meta_step_size=config.meta_step_size,
initial_beta=initial_beta, weight_decay=config.weight_decay,
seed=config.seed)
elif name == "coupled_wd_ss_adaptation":
return CoupledWDSSAdaptation(num_features=n,
meta_step_size_alpha=config.meta_step_size,
meta_step_size_lambda=config.meta_step_size,
initial_beta=initial_beta,
initial_gamma=config.initial_gamma,
seed=config.seed)
else:
raise ValueError(f"Unknown algorithm: {name}")
def main():
wandb.init(project=PROJECT_NAME, config=config_dict)
config = wandb.config
n = config.num_total_components
n_flip = config.num_flipping_components
name = config.algorithm
# data generator
online_sl_task = PeriodicLinearParameterFlip(
period=config.period,
num_total_components=n,
num_flipping_components=n_flip,
noise_level=config.noise_level,
seed=config.seed,
)
alg = build_algorithm(config, n)
error_buffer = []
error_history = []
for step in range(config.num_samples):
x, y = online_sl_task.sample_training_example()
sq_err = alg.update_weights(x, y)
error_buffer.append(sq_err)
error_history.append(sq_err)
if (step + 1) % config.log_interval == 0:
log_dict = {"step": step + 1, "mse": np.mean(error_buffer)}
if name == "idbd" or name == "idbd_fixed_wd" or name == "fade_idbd":
alphas = np.exp(alg.beta)
log_dict["alpha_mean_relevant"] = np.mean(alphas[:n_flip])
log_dict["alpha_mean_irrelevant"] = np.mean(alphas[n_flip:])
if name == "fade" or name == "fade_idbd":
lambdas = np.exp(alg.gamma)
log_dict["lambda_mean_relevant"] = np.mean(lambdas[:n_flip])
log_dict["lambda_mean_irrelevant"] = np.mean(lambdas[n_flip:])
log_dict["lambda_max_relevant"] = np.max(lambdas[:n_flip])
log_dict["lambda_max_irrelevant"] = np.max(lambdas[n_flip:])
log_dict["lambda_min_relevant"] = np.min(lambdas[:n_flip])
log_dict["lambda_min_irrelevant"] = np.min(lambdas[n_flip:])
wandb.log(log_dict)
error_buffer = []
# final summary
tail = config.error_over_last
asymptotic_mse = np.mean(error_history[-tail:])
wandb.summary["asymptotic_mse"] = asymptotic_mse
wandb.finish()
print(f"Done. {name} asymptotic MSE: {asymptotic_mse:.6f}")
if __name__ == "__main__":
main()