Mixture of experts

Checkpoint configuration and implementation moonshotai/Kimi-K2-Instruct @ fd1984e · parameter count checked against the checkpoint’s tensor headers · How to read

in
xffnx_{\mathrm{ffn}} [B batch, T positions, 7168 d]
out
Δffn\Delta_{\mathrm{ffn}} [B batch, T positions, 7168 d]
parameters
16,958,226,816 · × 60 MoE blocks = 1,017,493,608,960
Parameters

16,958,226,816 parameters per instance, across its learned components

Exact per-instance accounting
ComponentCalculationParameters
Router2,752,896 across its components2,752,896
Routed expert44,040,192×38444{,}040{,}192 \times 38416,911,433,728
Shared expert44,040,192 across its components44,040,192
Per-instance total16,958,226,816

Across 60 independent MoE blocks: 16,958,226,816×60=1,017,493,608,96016{,}958{,}226{,}816 \times 60 = 1{,}017{,}493{,}608{,}960 parameters.

Derived from the pinned configuration and implementation, and equal to the count of the checkpoint’s tensors read from its safetensors headers (FP8 block scales and stored rotary buffers excluded).

In numbers

Weights · one MoE block

Held · FP815.8 GiB
Used per token · FP8 + bfloat16383.3 MiB

Held: 384 routed experts × 44,040,192 parameters, the shared expert’s 44,040,192 and the router’s 2,752,896, 16,958,226,816 in all. Used per token: 8 routed experts, the shared expert and the router, 399,114,624 (2.4%).

FP8 experts, block scales left out; the router’s matrix and bias in bfloat16. The checkpoint stores the bias in float32; loaded, it is a bfloat16 parameter, as counted here.

config.json 64config.json 38–46modeling_deepseek.py 409–415modeling_deepseek.py 523–533modeling_deepseek.py 536–609
Explanation

The implementation flattens batch and positions into one token axis for the experts and restores the shape (modeling_deepseek.py 527, 530).

Codemodeling_deepseek.py 486–609
modeling_deepseek.py 486–521
        if hasattr(config, "ep_size") and config.ep_size > 1:
            assert config.ep_size == dist.get_world_size()
            self.ep_size = config.ep_size
            self.experts_per_rank = config.n_routed_experts // config.ep_size
            self.ep_rank = dist.get_rank()
            self.experts = nn.ModuleList(
                [
                    (
                        DeepseekV3MLP(
                            config, intermediate_size=config.moe_intermediate_size
                        )
                        if i >= self.ep_rank * self.experts_per_rank
                        and i < (self.ep_rank + 1) * self.experts_per_rank
                        else None
                    )
                    for i in range(config.n_routed_experts)
                ]
            )
        else:
            self.ep_size = 1
            self.experts_per_rank = config.n_routed_experts
            self.ep_rank = 0
            self.experts = nn.ModuleList(
                [
                    DeepseekV3MLP(
                        config, intermediate_size=config.moe_intermediate_size
                    )
                    for i in range(config.n_routed_experts)
                ]
            )
        self.gate = MoEGate(config)
        if config.n_shared_experts is not None:
            intermediate_size = config.moe_intermediate_size * config.n_shared_experts
            self.shared_experts = DeepseekV3MLP(
                config=config, intermediate_size=intermediate_size
            )
modeling_deepseek.py 523–533
    def forward(self, hidden_states):
        identity = hidden_states
        orig_shape = hidden_states.shape
        topk_idx, topk_weight = self.gate(hidden_states)
        hidden_states = hidden_states.view(-1, hidden_states.shape[-1])
        flat_topk_idx = topk_idx.view(-1)
        if not self.training:
            y = self.moe_infer(hidden_states, topk_idx, topk_weight).view(*orig_shape)
        if self.config.n_shared_experts is not None:
            y = y + self.shared_experts(identity)
        return y
modeling_deepseek.py 536–609
    def moe_infer(self, x, topk_ids, topk_weight):
        cnts = topk_ids.new_zeros((topk_ids.shape[0], len(self.experts)))
        cnts.scatter_(1, topk_ids, 1)
        tokens_per_expert = cnts.sum(dim=0)
        idxs = topk_ids.view(-1).argsort()
        sorted_tokens = x[idxs // topk_ids.shape[1]]
        sorted_tokens_shape = sorted_tokens.shape
        if self.ep_size > 1:
            tokens_per_ep_rank = tokens_per_expert.view(self.ep_size, -1).sum(dim=1)
            tokens_per_expert_group = tokens_per_expert.new_empty(
                tokens_per_expert.shape[0]
            )
            dist.all_to_all_single(tokens_per_expert_group, tokens_per_expert)
            output_splits = (
                tokens_per_expert_group.view(self.ep_size, -1)
                .sum(1)
                .cpu()
                .numpy()
                .tolist()
            )
            gathered_tokens = sorted_tokens.new_empty(
                tokens_per_expert_group.sum(dim=0).cpu().item(), sorted_tokens.shape[1]
            )
            input_split_sizes = tokens_per_ep_rank.cpu().numpy().tolist()
            dist.all_to_all(
                list(gathered_tokens.split(output_splits)),
                list(sorted_tokens.split(input_split_sizes)),
            )
            tokens_per_expert_post_gather = tokens_per_expert_group.view(
                self.ep_size, self.experts_per_rank
            ).sum(dim=0)
            gatherd_idxs = np.zeros(shape=(gathered_tokens.shape[0],), dtype=np.int32)
            s = 0
            for i, k in enumerate(tokens_per_expert_group.cpu().numpy()):
                gatherd_idxs[s : s + k] = i % self.experts_per_rank
                s += k
            gatherd_idxs = gatherd_idxs.argsort()
            sorted_tokens = gathered_tokens[gatherd_idxs]
            tokens_per_expert = tokens_per_expert_post_gather
        tokens_per_expert = tokens_per_expert.cpu().numpy()

        outputs = []
        start_idx = 0
        for i, num_tokens in enumerate(tokens_per_expert):
            end_idx = start_idx + num_tokens
            if num_tokens == 0:
                continue
            expert = self.experts[i + self.ep_rank * self.experts_per_rank]
            tokens_for_this_expert = sorted_tokens[start_idx:end_idx]
            expert_out = expert(tokens_for_this_expert)
            outputs.append(expert_out)
            start_idx = end_idx

        outs = torch.cat(outputs, dim=0) if len(outputs) else sorted_tokens.new_empty(0)
        if self.ep_size > 1:
            new_x = torch.empty_like(outs)
            new_x[gatherd_idxs] = outs
            gathered_tokens = new_x.new_empty(*sorted_tokens_shape)
            dist.all_to_all(
                list(gathered_tokens.split(input_split_sizes)),
                list(new_x.split(output_splits)),
            )
            outs = gathered_tokens

        new_x = torch.empty_like(outs)
        new_x[idxs] = outs
        final_out = (
            new_x.view(*topk_ids.shape, -1)
            .type(topk_weight.dtype)
            .mul_(topk_weight.unsqueeze(dim=-1))
            .sum(dim=1)
            .type(new_x.dtype)
        )
        return final_out
Sources2

Direct evidence

The MoE layer holds the routed experts, the router and one shared expert MLP of n_shared_experts × moe_intermediate_size features.

moe-init · moonshotai/Kimi-K2-Instruct / modeling_deepseek.py
Pinned revision fd1984e2b7a3 ↗ · lines 486–521

Read code excerpt
        if hasattr(config, "ep_size") and config.ep_size > 1:
            assert config.ep_size == dist.get_world_size()
            self.ep_size = config.ep_size
            self.experts_per_rank = config.n_routed_experts // config.ep_size
            self.ep_rank = dist.get_rank()
            self.experts = nn.ModuleList(
                [
                    (
                        DeepseekV3MLP(
                            config, intermediate_size=config.moe_intermediate_size
                        )
                        if i >= self.ep_rank * self.experts_per_rank
                        and i < (self.ep_rank + 1) * self.experts_per_rank
                        else None
                    )
                    for i in range(config.n_routed_experts)
                ]
            )
        else:
            self.ep_size = 1
            self.experts_per_rank = config.n_routed_experts
            self.ep_rank = 0
            self.experts = nn.ModuleList(
                [
                    DeepseekV3MLP(
                        config, intermediate_size=config.moe_intermediate_size
                    )
                    for i in range(config.n_routed_experts)
                ]
            )
        self.gate = MoEGate(config)
        if config.n_shared_experts is not None:
            intermediate_size = config.moe_intermediate_size * config.n_shared_experts
            self.shared_experts = DeepseekV3MLP(
                config=config, intermediate_size=intermediate_size
            )

Direct evidence

Each token’s output is the router-weighted sum of its selected experts plus the shared expert applied to every token; tokens are sorted by expert, each expert runs on its tokens, and outputs are scattered back.

moe-forward · moonshotai/Kimi-K2-Instruct / modeling_deepseek.py
Pinned revision fd1984e2b7a3 ↗ · lines 523–609

Read code excerpt
    def forward(self, hidden_states):
        identity = hidden_states
        orig_shape = hidden_states.shape
        topk_idx, topk_weight = self.gate(hidden_states)
        hidden_states = hidden_states.view(-1, hidden_states.shape[-1])
        flat_topk_idx = topk_idx.view(-1)
        if not self.training:
            y = self.moe_infer(hidden_states, topk_idx, topk_weight).view(*orig_shape)
        if self.config.n_shared_experts is not None:
            y = y + self.shared_experts(identity)
        return y

… lines 534–535 omitted …

    def moe_infer(self, x, topk_ids, topk_weight):
        cnts = topk_ids.new_zeros((topk_ids.shape[0], len(self.experts)))
        cnts.scatter_(1, topk_ids, 1)
        tokens_per_expert = cnts.sum(dim=0)
        idxs = topk_ids.view(-1).argsort()
        sorted_tokens = x[idxs // topk_ids.shape[1]]
        sorted_tokens_shape = sorted_tokens.shape
        if self.ep_size > 1:
            tokens_per_ep_rank = tokens_per_expert.view(self.ep_size, -1).sum(dim=1)
            tokens_per_expert_group = tokens_per_expert.new_empty(
                tokens_per_expert.shape[0]
            )
            dist.all_to_all_single(tokens_per_expert_group, tokens_per_expert)
            output_splits = (
                tokens_per_expert_group.view(self.ep_size, -1)
                .sum(1)
                .cpu()
                .numpy()
                .tolist()
            )
            gathered_tokens = sorted_tokens.new_empty(
                tokens_per_expert_group.sum(dim=0).cpu().item(), sorted_tokens.shape[1]
            )
            input_split_sizes = tokens_per_ep_rank.cpu().numpy().tolist()
            dist.all_to_all(
                list(gathered_tokens.split(output_splits)),
                list(sorted_tokens.split(input_split_sizes)),
            )
            tokens_per_expert_post_gather = tokens_per_expert_group.view(
                self.ep_size, self.experts_per_rank
            ).sum(dim=0)
            gatherd_idxs = np.zeros(shape=(gathered_tokens.shape[0],), dtype=np.int32)
            s = 0
            for i, k in enumerate(tokens_per_expert_group.cpu().numpy()):
                gatherd_idxs[s : s + k] = i % self.experts_per_rank
                s += k
            gatherd_idxs = gatherd_idxs.argsort()
            sorted_tokens = gathered_tokens[gatherd_idxs]
            tokens_per_expert = tokens_per_expert_post_gather
        tokens_per_expert = tokens_per_expert.cpu().numpy()

        outputs = []
        start_idx = 0
        for i, num_tokens in enumerate(tokens_per_expert):
            end_idx = start_idx + num_tokens
            if num_tokens == 0:
                continue
            expert = self.experts[i + self.ep_rank * self.experts_per_rank]
            tokens_for_this_expert = sorted_tokens[start_idx:end_idx]
            expert_out = expert(tokens_for_this_expert)
            outputs.append(expert_out)
            start_idx = end_idx

        outs = torch.cat(outputs, dim=0) if len(outputs) else sorted_tokens.new_empty(0)
        if self.ep_size > 1:
            new_x = torch.empty_like(outs)
            new_x[gatherd_idxs] = outs
            gathered_tokens = new_x.new_empty(*sorted_tokens_shape)
            dist.all_to_all(
                list(gathered_tokens.split(input_split_sizes)),
                list(new_x.split(output_splits)),
            )
            outs = gathered_tokens

        new_x = torch.empty_like(outs)
        new_x[idxs] = outs
        final_out = (
            new_x.view(*topk_ids.shape, -1)
            .type(topk_weight.dtype)
            .mul_(topk_weight.unsqueeze(dim=-1))
            .sum(dim=1)
            .type(new_x.dtype)
        )
        return final_out