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225 lines
8.3 KiB
Python
225 lines
8.3 KiB
Python
# This file is copied from https://github.com/deepseek-ai/EPLB/blob/main/eplb.py since that one is not a pypi package
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from typing import Tuple
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import torch
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def balanced_packing(
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weight: torch.Tensor, num_packs: int
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) -> Tuple[torch.Tensor, torch.Tensor]:
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"""
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Pack n weighted objects to m packs, such that each bin contains exactly n/m objects and the weights of all packs
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are as balanced as possible.
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Parameters:
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weight: [X, n], the weight of each item
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num_packs: number of packs
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Returns:
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pack_index: [X, n], the pack index of each item
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rank_in_pack: [X, n], the rank of the item in the pack
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"""
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num_layers, num_groups = weight.shape
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assert num_groups % num_packs == 0
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groups_per_pack = num_groups // num_packs
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if groups_per_pack == 1:
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pack_index = torch.arange(
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weight.size(-1), dtype=torch.int64, device=weight.device
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).expand(weight.shape)
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rank_in_pack = torch.zeros_like(weight, dtype=torch.int64)
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return pack_index, rank_in_pack
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indices_list = weight.float().sort(-1, descending=True).indices.tolist()
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weight_list = weight.tolist()
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pack_index_list = [[-1] * num_groups for _ in range(num_layers)]
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rank_in_pack_list = [[-1] * num_groups for _ in range(num_layers)]
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for i in range(num_layers):
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pack_weights = [0] * num_packs
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pack_items = [0] * num_packs
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for group in indices_list[i]:
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pack = min(
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(j for j in range(num_packs) if pack_items[j] < groups_per_pack),
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key=pack_weights.__getitem__,
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)
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assert pack_items[pack] < groups_per_pack
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pack_index_list[i][group] = pack
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rank_in_pack_list[i][group] = pack_items[pack]
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pack_weights[pack] += weight_list[i][group]
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pack_items[pack] += 1
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pack_index = torch.tensor(pack_index_list, dtype=torch.int64, device="cpu")
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rank_in_pack = torch.tensor(rank_in_pack_list, dtype=torch.int64, device="cpu")
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return pack_index, rank_in_pack
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def replicate_experts(
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weight: torch.Tensor, num_phy: int
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) -> Tuple[torch.Tensor, torch.Tensor, torch.Tensor]:
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"""
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Replicate `num_log` experts to `num_phy` replicas, such that the maximum load of all replicas is minimized.
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Parameters:
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weight: [X, num_log]
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num_phy: total number of experts after replication
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Returns:
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phy2log: [X, num_phy], logical expert id of each physical expert
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rank: [X, num_phy], the replica rank
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logcnt: [X, num_log], number of replicas for each logical expert
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"""
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n, num_log = weight.shape
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num_redundant = num_phy - num_log
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assert num_redundant >= 0
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device = weight.device
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phy2log = torch.arange(num_phy, dtype=torch.int64, device=device).repeat(n, 1)
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rank = torch.zeros(n, num_phy, dtype=torch.int64, device=device)
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logcnt = torch.ones(n, num_log, dtype=torch.int64, device=device)
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arangen = torch.arange(n, dtype=torch.int64, device=device)
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for i in range(num_log, num_phy):
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redundant_indices = (weight / logcnt).max(dim=-1).indices
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phy2log[:, i] = redundant_indices
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rank[:, i] = logcnt[arangen, redundant_indices]
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logcnt[arangen, redundant_indices] += 1
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return phy2log, rank, logcnt
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def rebalance_experts_hierarchical(
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weight: torch.Tensor,
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num_physical_experts: int,
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num_groups: int,
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num_nodes: int,
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num_gpus: int,
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):
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"""
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Parameters:
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weight: [num_moe_layers, num_logical_experts]
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num_physical_experts: number of physical experts after replication
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num_groups: number of expert groups
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num_nodes: number of server nodes, where the intra-node network (e.g, NVLink) is faster
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num_gpus: number of GPUs, must be a multiple of `num_nodes`
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Returns:
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physical_to_logical_map: [num_moe_layers, num_physical_experts]
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logical_to_physical_map: [num_moe_layers, num_logical_experts, X]
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logical_count: [num_moe_layers, num_logical_experts]
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"""
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num_layers, num_logical_experts = weight.shape
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assert num_logical_experts % num_groups == 0
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group_size = num_logical_experts // num_groups
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assert num_groups % num_nodes == 0
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groups_per_node = num_groups // num_nodes
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assert num_gpus % num_nodes == 0
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assert num_physical_experts % num_gpus == 0
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phy_experts_per_gpu = num_physical_experts // num_gpus
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def inverse(perm: torch.Tensor) -> torch.Tensor:
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inv = torch.empty_like(perm)
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inv.scatter_(
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1,
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perm,
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torch.arange(perm.size(1), dtype=torch.int64, device=perm.device).expand(
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perm.shape
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),
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)
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return inv
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# Step 1: pack groups to nodes
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tokens_per_group = weight.unflatten(-1, (num_groups, group_size)).sum(-1)
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group_pack_index, group_rank_in_pack = balanced_packing(tokens_per_group, num_nodes)
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log2mlog = (
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(
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(group_pack_index * groups_per_node + group_rank_in_pack) * group_size
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).unsqueeze(-1)
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+ torch.arange(group_size, dtype=torch.int64, device=group_pack_index.device)
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).flatten(-2)
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mlog2log = inverse(log2mlog)
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# Step 2: construct redundant experts within nodes
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# [num_layers * num_nodes, num_logical_experts // num_nodes]
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tokens_per_mlog = weight.gather(-1, mlog2log).view(
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-1, num_logical_experts // num_nodes
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)
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phy2mlog, phyrank, mlogcnt = replicate_experts(
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tokens_per_mlog, num_physical_experts // num_nodes
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)
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# Step 3: pack physical_experts to GPUs
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# [num_layers * num_nodes, num_physical_experts // num_nodes]
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tokens_per_phy = (tokens_per_mlog / mlogcnt).gather(-1, phy2mlog)
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pack_index, rank_in_pack = balanced_packing(tokens_per_phy, num_gpus // num_nodes)
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phy2pphy = pack_index * phy_experts_per_gpu + rank_in_pack
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pphy2phy = inverse(phy2pphy)
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pphy2mlog = phy2mlog.gather(
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-1, pphy2phy
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) # [num_layers * num_nodes, num_log_per_nodes]
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pphy2mlog = (
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pphy2mlog.view(num_layers, num_nodes, -1)
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+ torch.arange(
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0,
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num_logical_experts,
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num_logical_experts // num_nodes,
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device=group_pack_index.device,
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).view(1, -1, 1)
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).flatten(-2)
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pphy2log = mlog2log.gather(-1, pphy2mlog)
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pphyrank = phyrank.gather(-1, pphy2phy).view(num_layers, -1)
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logcnt = mlogcnt.view(num_layers, -1).gather(-1, log2mlog)
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return pphy2log, pphyrank, logcnt
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def rebalance_experts(
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weight: torch.Tensor,
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num_replicas: int,
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num_groups: int,
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num_nodes: int,
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num_gpus: int,
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enable_hierarchical: bool,
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) -> Tuple[torch.Tensor, torch.Tensor, torch.Tensor]:
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"""
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Entry point for expert-parallelism load balancer.
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Parameters:
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weight: [layers, num_logical_experts], the load statistics for all logical experts
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num_replicas: number of physical experts, must be a multiple of `num_gpus`
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num_groups: number of expert groups
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num_nodes: number of server nodes, where the intra-node network (e.g, NVLink) is faster
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num_gpus: number of GPUs, must be a multiple of `num_nodes`
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Returns:
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physical_to_logical_map: [layers, num_replicas], the expert index of each replica
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logical_to_physical_map: [layers, num_logical_experts, X], the replica indices for each expert
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expert_count: [layers, num_logical_experts], number of physical replicas for each logical expert
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"""
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num_layers, num_logical_experts = weight.shape
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weight = weight.float().cpu()
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if enable_hierarchical:
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# use hierarchical load-balance policy
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phy2log, phyrank, logcnt = rebalance_experts_hierarchical(
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weight, num_replicas, num_groups, num_nodes, num_gpus
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)
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else:
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# use global load-balance policy
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phy2log, phyrank, logcnt = rebalance_experts_hierarchical(
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weight, num_replicas, 1, 1, num_gpus
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)
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maxlogcnt = logcnt.max().item()
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log2phy: torch.Tensor = torch.full(
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(num_layers, num_logical_experts, maxlogcnt),
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-1,
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dtype=torch.int64,
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device=logcnt.device,
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)
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log2phy.view(num_layers, -1).scatter_(
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-1,
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phy2log * maxlogcnt + phyrank,
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torch.arange(num_replicas, dtype=torch.int64, device=log2phy.device).expand(
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num_layers, -1
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),
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)
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return phy2log, log2phy, logcnt
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__all__ = ["rebalance_experts"]
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