| 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 |
|
|