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_part: Tensor, exp_avg_sq_part: Tensor, lr: float, beta1: float, beta2: float, eps: float, step: int, ) -> tuple[Tensor, Tensor, Tensor, Tensor, Tensor, Tensor]: world_size = dist.get_world_size() rank = dist.get_rank() templates = [W1, b1, W2, b2] flat_p = _flatten_dense_tensors(templates) dist.broadcast(flat_p, src=0) param_views = _unflatten_dense_tensors(flat_p, templates) params = [t.detach().requires_grad_(True) for t in param_views] part = exp_avg_part.numel() assert flat_p.numel() == part * world_size m_part = exp_avg_part.clone() v_part = exp_avg_sq_part.clone() 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() flat_g = _flatten_dense_tensors([p.grad for p in params]) dist.all_reduce(flat_g, op=dist.ReduceOp.SUM) flat_g.div_(world_size) start = rank * part g_part = flat_g[start : start + part] w_part = flat_p[start : start + part].clone() assert step >= 1 bc1 = 1.0 - math.pow(beta1, step) bc2 = 1.0 - math.pow(beta2, step) m_part.mul_(beta1).add_(g_part, alpha=1.0 - beta1) v_part.mul_(beta2).addcmul_(g_part, g_part, value=1.0 - beta2) m_hat = m_part / bc1 v_hat = v_part / bc2 w_part.add_(m_hat.div(v_hat.sqrt().add(eps)).mul(-lr)) gathered = torch.empty_like(flat_p) dist.all_gather_into_tensor(gathered, w_part.contiguous()) flat_p.copy_(gathered) out_params = _unflatten_dense_tensors(flat_p, templates) return (*out_params, m_part, v_part)