Source code for qmlhc.optim.numpy_optim.finite_diff

# -*- coding: utf-8 -*-
"""
Finite-Difference Optimizer (Central Difference)
------------------------------------------------
Derivative-free gradient estimation by central differences. Suitable for
low- to medium-dimensional parameter vectors and backends without analytic
gradients. Cost: 2 evaluations per parameter per step.

Interface:
    - initialize(params) -> state
    - step_params(model, params, context) -> (new_params, state)
"""

from __future__ import annotations
from typing import Any, Dict, Mapping, Tuple
import numpy as np
from .utils import flatten_params, deflatten_params, total_loss_for


[docs] class HCFiniteDiffOptimizer: """Central-difference gradient descent with optional clipping.""" def __init__(self, lr: float = 1e-2, eps: float = 1e-3, clip: float | None = None): self.lr = float(lr) self.eps = float(eps) self.clip = clip self._state: Dict[str, Any] = {}
[docs] def initialize(self, params: Mapping[str, Any]) -> Dict[str, Any]: """Optionally initialize optimizer state (none needed).""" self._state = {"steps": 0} return dict(self._state)
[docs] def step_params( self, model: Any, params: Mapping[str, Any], context: Mapping[str, Any] ) -> Tuple[Dict[str, Any], Dict[str, Any]]: theta, layout = flatten_params(params) grad = np.zeros_like(theta) # central finite differences for i in range(theta.size): e = np.zeros_like(theta); e[i] = self.eps lp = total_loss_for(model, theta + e, context) lm = total_loss_for(model, theta - e, context) grad[i] = (lp - lm) / (2.0 * self.eps) theta_new = theta - self.lr * grad if self.clip is not None: theta_new = np.clip(theta_new, -self.clip, self.clip) new_params = deflatten_params(theta_new, layout, params) self._state = {"steps": self._state.get("steps", 0) + 1, "grad_norm": float(np.linalg.norm(grad))} return new_params, dict(self._state)