from utils import phi import numpy as np def another_random_cube(objective, n_trials, n_dim, with_count, seed=None): prng = np.random.default_rng(seed) fopt = None xopt = None for i in range(n_trials): x = prng.uniform(size=n_dim) fx = objective(x) if fopt is None or xopt is None or fx < fopt: fopt = fx xopt = x return (fopt, xopt, n_trials) if with_count else (fopt, xopt) def quasirandom_cube(objective, n_trials, n_dim, with_count): # http://extremelearning.com.au/unreasonable-effectiveness-of-quasirandom-sequences/ magic = phi(n_dim) alpha = np.zeros(n_dim) for i in range(n_dim): alpha[i] = pow(1 / magic, i + 1) % 1 xs = np.zeros((n_trials, n_dim)) xs[0, :] = 0.5 # first point is always dead center for i in range(1, n_trials): xs[i] = (xs[i - 1] + alpha) % 1 best_so_far = None for i, x in zip(range(n_trials), xs): fx = objective(x) if best_so_far is None or fx < best_so_far[0]: best_so_far = (fx, x) fopt, xopt = best_so_far return (fopt, xopt, n_trials) if with_count else (fopt, xopt)