from __future__ import annotations import math import torch import torch.distributed as dist import torch.nn.functional as F from torch import Tensor from torch._utils import _flatten_dense_tensors, _unflatten_dense_tensors def solution( X_local: Tensor, y_local: Tensor, W1: Tensor, b1: Tensor, W2: Tensor, b2: Tensor, exp_avg_W1: Tensor, exp_avg_b1: Tensor, exp_avg_W2: Tensor, exp_avg_b2: Tensor, exp_avg_sq_W1: Tensor, exp_avg_sq_b1: Tensor, exp_avg_sq_W2: Tensor, exp_avg_sq_b2: Tensor, lr: float, beta1: float, beta2: float, eps: float, step: int, ) -> tuple[Tensor, ...]: world_size = dist.get_world_size() params = [W1, b1, W2, b2] exp_avg = [exp_avg_W1, exp_avg_b1, exp_avg_W2, exp_avg_b2] exp_avg_sq = [exp_avg_sq_W1, exp_avg_sq_b1, exp_avg_sq_W2, exp_avg_sq_b2] flat_params = _flatten_dense_tensors(params) dist.broadcast(flat_params, src=0) broadcast_params = _unflatten_dense_tensors(flat_params, params) params = [t.detach().requires_grad_(True) for t in broadcast_params] flat_m = _flatten_dense_tensors(exp_avg) dist.broadcast(flat_m, src=0) exp_avg = list(_unflatten_dense_tensors(flat_m, exp_avg)) flat_v = _flatten_dense_tensors(exp_avg_sq) dist.broadcast(flat_v, src=0) exp_avg_sq = list(_unflatten_dense_tensors(flat_v, exp_avg_sq)) h = F.relu(F.linear(X_local, params[0], params[1])) out = F.linear(h, params[2], params[3]) loss = F.mse_loss(out, y_local) loss.backward() grads = [p.grad for p in params] flat_grad = _flatten_dense_tensors(grads) dist.all_reduce(flat_grad, op=dist.ReduceOp.SUM) flat_grad.div_(world_size) avg_grads = _unflatten_dense_tensors(flat_grad, grads) for p, g in zip(params, avg_grads): p.grad.copy_(g) assert step >= 1 bc1 = 1.0 - math.pow(beta1, step) bc2 = 1.0 - math.pow(beta2, step) for p, m_buf, v_buf in zip(params, exp_avg, exp_avg_sq): g = p.grad m_buf.mul_(beta1).add_(g, alpha=1.0 - beta1) v_buf.mul_(beta2).addcmul_(g, g, value=1.0 - beta2) m_hat = m_buf / bc1 v_hat = v_buf / bc2 denom = v_hat.sqrt().add(eps) p.data.add_(m_hat.div(denom).mul(-lr)) out_tensors = tuple(list(params) + exp_avg + exp_avg_sq) return out_tensors