# Copyright © 2023-2024 Apple Inc. from functools import reduce, wraps from typing import Any, Callable, Optional import mlx.core as mx from ..utils import tree_flatten, tree_map, tree_reduce, tree_unflatten from .layers.base import Module def value_and_grad(model: Module, fn: Callable): """Transform the passed function ``fn`` to a function that computes the gradients of ``fn`` wrt the model's trainable parameters and also its value. Args: model (mlx.nn.Module): The model whose trainable parameters to compute gradients for fn (Callable): The scalar function to compute gradients for Returns: A callable that returns the value of ``fn`` and the gradients wrt the trainable parameters of ``model`` """ def inner_fn(params, *args, **kwargs): model.update(params) return fn(*args, **kwargs) value_grad_fn = mx.value_and_grad(inner_fn) @wraps(fn) def wrapped_value_grad_fn(*args, **kwargs): value, grad = value_grad_fn(model.trainable_parameters(), *args, **kwargs) return value, grad return wrapped_value_grad_fn def checkpoint(module: Module, fn: Optional[Callable] = None): """Transform the passed callable to one that performs gradient checkpointing with respect to the trainable parameters of the module (and the callable's inputs). Args: module (mlx.nn.Module): The module for whose parameters we will be performing gradient checkpointing. fn (Callable, optional): The function to checkpoint. If not provided it defaults to the provided module. Returns: A callable that saves the inputs and outputs during the forward pass and recomputes all intermediate states during the backward pass. """ if fn is None: # Capturing module instead of module.__call__ allows someone to # monkey-patch __call__ later on and the correct method will be used fn = module def inner_fn(params, *args, **kwargs): module.update(params) return fn(*args, **kwargs) checkpointed_fn = mx.checkpoint(inner_fn) @wraps(fn) def wrapped_checkpointed_fn(*args, **kwargs): return checkpointed_fn(module.trainable_parameters(), *args, **kwargs) return wrapped_checkpointed_fn def _extract_info(flat): keys = [k for k, _ in flat] shapes = [g.shape for _, g in flat] sizes = [g.size for _, g in flat] dtypes = [g.dtype for _, g in flat] return keys, shapes, sizes, dtypes def _group_by_size(keys, sizes, itemsize, communication_size): grad_groups = [] grad_group = [] grad_group_size = 0 for i in range(len(keys)): grad_group.append(i) grad_group_size += sizes[i] * itemsize if grad_group_size >= communication_size: grad_groups.append(grad_group) grad_group = [] grad_group_size = 0 if grad_group: grad_groups.append(grad_group) grad_group = [] return grad_groups def average_gradients( gradients: Any, group: Optional[mx.distributed.Group] = None, all_reduce_size: int = 32 * 1024**2, communication_stream: Optional[mx.Stream] = None, ): """Average the gradients across the distributed processes in the passed group. This helper enables concatenating several gradients of small arrays to one big all reduce call for better networking performance. Args: gradients (Any): The Python tree containing the gradients (it should have the same structure across processes) group (Optional[mlx.core.distributed.Group]): The group of processes to average the gradients. If set to ``None`` the global group is used. Default: ``None``. all_reduce_size (int): Group arrays until their size in bytes exceeds this number. Perform one communication step per group of arrays. If less or equal to 0 array grouping is disabled. Default: ``32MiB``. communication_stream (Optional[mlx.core.Stream]): The stream to use for the communication. If unspecified the default communication stream is used which can vary by back-end. Default: ``None``. """ group = group or mx.distributed.init() N = group.size() if N == 1: return gradients if all_reduce_size <= 0: return tree_map( lambda x: mx.distributed.all_sum( x, group=group, stream=communication_stream, ) / N, gradients, ) else: flat_grads = tree_flatten(gradients) if len(flat_grads) == 0: return gradients # Extract some info for the gradient keys, shapes, sizes, dtypes = _extract_info(flat_grads) # We can't group them if they have mixed types if not all(dt == dtypes[0] for dt in dtypes): return average_gradients(gradients, group, 0) # Gather the gradients in groups that are just above or equal to all_reduce_size grad_groups = _group_by_size(keys, sizes, dtypes[0].size, all_reduce_size) # Concatenate-reduce-split new_flat_grads = [] for grad_group in grad_groups: indices = reduce(lambda x, y: x + [x[-1] + sizes[y]], grad_group, [0]) big_grad = mx.concatenate( [flat_grads[i][1].reshape(-1) for i in grad_group] ) big_grad = ( mx.distributed.all_sum( big_grad, stream=communication_stream, group=group ) / N ) big_grad = mx.split(big_grad, indices[1:-1]) new_flat_grads.extend( (keys[j], big_grad[i].reshape(shapes[j])) for i, j in enumerate(grad_group) ) return tree_unflatten(new_flat_grads) def _clip_grads_fsdp(grads_slice, max_norm, group=None): local_norm_sq = tree_reduce(lambda acc, g: acc + g.square().sum(), grads_slice, 0.0) global_norm_sq = mx.distributed.all_sum(local_norm_sq, group=group) grad_norm = mx.sqrt(global_norm_sq) normalizer = mx.minimum(max_norm / (grad_norm + 1e-6), 1.0) grads_slice = tree_map(lambda g: g * normalizer, grads_slice) return grads_slice, grad_norm def fsdp_apply_gradients( gradients, parameters, optimizer, fsdp_group=None, dp_group=None, communication_size=32 * 1024**2, communication_stream=None, max_norm=None, ): """Perform a distributed optimizer step by sharding gradients and optimizer states across ranks. This helper function performs the following steps: 1. Reduce-scatter the gradients across ranks so each rank gets a shard of the averaged gradients. 2. Optionally clip the sharded gradients by global norm. 3. Apply the optimizer update on the local parameter slice using the sharded gradients. 4. All-gather the updated parameter slices from all ranks to reconstruct the full parameters tree. This is similar to PyTorch's FSDP with `reshard_after_forward=False`. Args: gradients (Any): The Python tree containing the full gradients (it should have the same structure as ``parameters``). Each gradient's first dimension must be divisible by ``fsdp_group.size()``. parameters (Any): The Python tree containing the full parameters (it should have the same structure across processes). Each parameter's first dimension must be divisible by ``fsdp_group.size()``. optimizer: Optimizer with an ``apply_gradients`` method. fsdp_group (Optional[mlx.core.distributed.Group]): The group of processes for FSDP sharding. If ``None``, the global group is used. dp_group (Optional[mlx.core.distributed.Group]): The group of processes for data-parallel gradient averaging. Required when ``fsdp_group`` is smaller than the world (e.g. FSDP intra-node, DDP inter-node). Default: ``None``. communication_size (int): Group arrays until their size in bytes exceeds this number. Perform one communication step per group of arrays. If less or equal to 0 array grouping is disabled. Default: ``32MiB``. communication_stream (Optional[mlx.core.Stream]): The stream to use for the communication. If unspecified the default communication stream is used which can vary by back-end. Default: ``None``. max_norm (Optional[float]): If provided, clip gradients to this maximum global norm before applying the optimizer update. Default: ``None``. Returns: If ``max_norm`` is ``None``, returns the updated full-parameter tree. Otherwise returns ``(parameters, grad_norm)``, where ``grad_norm`` is the global gradient norm before clipping. Example: >>> optimizer = optim.SGD(learning_rate=0.01) >>> # Without gradient clipping >>> updated_params = fsdp_apply_gradients(grads, params, optimizer) >>> model.update(updated_params) >>> >>> # With gradient clipping >>> updated_params, grad_norm = fsdp_apply_gradients( ... grads, params, optimizer, max_norm=1.0 ... ) >>> model.update(updated_params) """ fsdp_group = fsdp_group or mx.distributed.init() N = fsdp_group.size() * (dp_group.size() if dp_group is not None else 1) if N == 1: if max_norm is not None: gradients, grad_norm = _clip_grads_fsdp(gradients, max_norm) return optimizer.apply_gradients(gradients, parameters), grad_norm return optimizer.apply_gradients(gradients, parameters) flat_grads = tree_flatten(gradients) flat_params = tree_flatten(parameters) keys, shapes, sizes, dtypes = _extract_info(flat_grads) itemsize = dtypes[0].size groups = _group_by_size(keys, sizes, itemsize, communication_size) S = fsdp_group.size() fsdp_rank = fsdp_group.rank() # reduce-scatter gradients, shard parameters grad_slices = {} param_slices = {} for group_idx, arr_group in enumerate(groups): big_grad = mx.concatenate( [flat_grads[i][1].reshape(S, -1) for i in arr_group], axis=1 ) grad_slices[group_idx] = ( mx.distributed.sum_scatter( big_grad, group=fsdp_group, stream=communication_stream ) / N ) if dp_group is not None: grad_slices[group_idx] = mx.distributed.all_sum( grad_slices[group_idx], group=dp_group, stream=communication_stream ) big_param = mx.concatenate( [flat_params[i][1].reshape(S, -1) for i in arr_group], axis=1 ) param_slices[group_idx] = big_param[fsdp_rank] # clip gradients if needed grad_norm = None if max_norm is not None: grad_slices, grad_norm = _clip_grads_fsdp( grad_slices, max_norm, group=fsdp_group ) # optimizer step updated_param_slices = optimizer.apply_gradients(grad_slices, param_slices) # all-gather and reconstruct new_flat = [] for group_idx, arr_group in enumerate(groups): big_gathered = mx.distributed.all_gather( updated_param_slices[group_idx], group=fsdp_group, stream=communication_stream, ) split_sizes = [sizes[i] // S for i in arr_group] split_indices = [] acc = 0 for s in split_sizes: acc += s split_indices.append(acc) parts = mx.split(big_gathered, split_indices[:-1], axis=1) for idx_in_group, i in enumerate(arr_group): new_flat.append((keys[i], parts[idx_in_group].reshape(shapes[i]))) result = tree_unflatten(new_flat) if max_norm is not None: return result, grad_norm return result