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Mixture-of-Depths Attention (MoDA) + DeepSeek Mixture-of-Experts FFN
======================================================================
Paper (attention): "Mixture-of-Depths Attention" arXiv 2603.15619
Paper (MoE): "DeepSeekMoE: Towards Ultimate Expert Specialization
in Mixture-of-Experts Language Models" arXiv 2401.06066
Reference impl (V3): https://github.com/deepseek-ai/DeepSeek-V3
Architecture
------------
This file fuses two independent architectural improvements:
1. **MoDA** β each attention head jointly attends to current-layer sequence
KV pairs (causal) *and* depth KV pairs from all preceding layers at the
same token position, under a single softmax.
2. **DeepSeek MoE** (replaces the dense SwiGLU FFN in every block):
* K_s *shared experts* β always activated, capture common knowledge.
* N_r *routed experts* β sparse; top-K activated per token.
* Fine-grained expert segmentation: each expert has a small hidden dim
(β dense_hidden / m) so that activating more experts keeps FLOPs
constant while improving specialisation.
* Expert-level balance loss prevents routing collapse.
Gate routing (faithful to DeepSeek-V3 model.py)
------------------------------------------------
scores = softmax(x W^T) # or sigmoid for V3 style
original = scores # saved for weight computation
[optional] scores += bias # V3 aux-loss-free routing
[optional] group-limited masking # V3 device-group routing
indices = topk(scores, K)
weights = original[indices] # un-biased original scores
[sigmoid] weights /= sum(weights) # re-normalise for sigmoid gating
weights *= route_scale
Balance loss (DeepSeekMoE Β§3.3, used when training without V3 bias routing)
L_ExpBal = Ξ£_i f_i Β· P_i
f_i = (N_r / (K Β· T)) Β· #{tokens routing to i} (normalised frequency)
P_i = (1/T) Ξ£_t s_{i,t} (mean soft gate score)
Memory note
-----------
MoDA's unified attention has O(TΒ·L) combined KV length. For long sequences
use the Triton kernel from https://github.com/hustvl/MoDA.
"""
from __future__ import annotations
import math
from dataclasses import dataclass
from typing import List, Optional, Tuple
import torch
import torch.nn as nn
import torch.nn.functional as F
@dataclass
class MoDAConfig:
"""Configuration for a MoDA + DeepSeek-MoE decoder-only language model.
Attention (MoDA)
----------------
vocab_size: Vocabulary size.
d_model: Hidden dimension (must equal n_heads_q * head_dim).
n_layers: Number of transformer layers.
n_heads_q: Query heads.
n_heads_kv: Key/value heads for GQA (must divide n_heads_q).
head_dim: Per-head dimension (usually d_model // n_heads_q).
max_seq_len: Maximum sequence length for the RoPE cache.
rope_base: RoPE frequency base.
attn_dropout: Attention dropout (0 for inference).
norm_eps: RMSNorm epsilon.
MoE FFN (DeepSeekMoE / DeepSeek-V3 style)
------------------------------------------
n_shared_experts: Always-active shared experts (K_s). Capture common
knowledge; excluded from routing and balance loss.
n_routed_experts: Total pool of routed experts (N_r).
n_activated_experts: Top-K selected from routed experts per token (K').
expert_hidden_dim: Per-expert intermediate dimension.
Set to dense_ffn_hidden / m where m is the
fine-grained segmentation factor so that total
activated FLOPs match a dense FFN:
(n_shared + n_activated) Γ expert_hidden β dense_hidden
moe_balance_alpha: Weight of the expert-level balance loss. Set to
0.0 to disable (e.g. when using V3 bias routing).
moe_score_func: "softmax" (DeepSeekMoE / V2) or "sigmoid" (V3).
moe_n_groups: Number of expert groups for group-limited routing
(V3 uses 8; set 1 to disable, default).
moe_topk_groups: Number of groups a token may route to
(V3 uses 3; set 1 to disable, default).
moe_route_scale: Scalar multiplied onto the selected gate weights
after normalisation (V3 uses 2.5446; default 1.0).
Defaults approximate the DeepSeekMoE 2B configuration scaled to
d_model = 2048, keeping per-token FLOPs equal to a dense SwiGLU with
hidden_dim = 5 632 (β 8/3 Γ 2048):
(n_shared + n_activated) Γ expert_hidden = (2+6) Γ 704 = 5 632.
"""
# ---- Transformer / MoDA ----
vocab_size: int = 32_000
d_model: int = 2048
n_layers: int = 24
n_heads_q: int = 16
n_heads_kv: int = 8
head_dim: int = 128
max_seq_len: int = 4_096
rope_base: float = 10_000.0
attn_dropout: float = 0.0
norm_eps: float = 1e-6
# ---- DeepSeek MoE FFN ----
n_shared_experts: int = 2 # K_s
n_routed_experts: int = 64 # N_r
n_activated_experts: int = 6 # K' top-K from routed pool
expert_hidden_dim: int = 704 # per-expert intermediate dim
moe_balance_alpha: float = 0.001 # balance-loss weight (0 = disabled)
moe_score_func: str = "softmax" # "softmax" | "sigmoid"
moe_n_groups: int = 1 # expert groups (1 = no grouping)
moe_topk_groups: int = 1 # groups to route into (1 = no limit)
moe_route_scale: float = 1.0 # gate-weight scale factor
# ---------------------------------------------------------------------------
# Primitives
# ---------------------------------------------------------------------------
class RMSNorm(nn.Module):
"""Root Mean Square Layer Normalization (no bias, no mean subtraction)."""
def __init__(self, dim: int, eps: float = 1e-6) -> None:
"""Create an RMSNorm layer.
Args:
dim: Feature dimension to normalise over (the last axis of input).
eps: Stability constant added before the reciprocal square-root to
prevent division by zero when the RMS is near zero.
"""
super().__init__()
self.eps = eps
self.weight = nn.Parameter(torch.ones(dim))
def forward(self, x: torch.Tensor) -> torch.Tensor:
"""Normalise *x* by its root-mean-square and apply a learnable scale.
Args:
x: Input tensor of arbitrary shape ``[..., dim]``.
Returns:
Normalised tensor, same shape as *x*.
"""
rms = x.pow(2).mean(-1, keepdim=True).add(self.eps).rsqrt()
return x * rms * self.weight
class RotaryEmbedding(nn.Module):
"""Rotary Position Embedding (RoPE) with lazy cache extension.
Args:
dim: Per-head dimension (head_dim).
max_seq_len: Initial cache size.
base: Frequency base (default 10 000).
"""
def __init__(
self, dim: int, max_seq_len: int = 8_192, base: float = 10_000.0
) -> None:
"""Initialise RoPE and pre-compute the cos/sin cache.
Args:
dim: Per-head dimension. Must be even.
max_seq_len: Number of positions to cache on construction. The
cache doubles automatically when a longer sequence
is encountered.
base: Frequency base ΞΈ. Higher values slow the rotation
rate, extending effective context length.
"""
super().__init__()
self.dim = dim
inv_freq = 1.0 / (base ** (torch.arange(0, dim, 2).float() / dim))
self.register_buffer("inv_freq", inv_freq, persistent=False)
self._build_cache(max_seq_len)
def _build_cache(self, seq_len: int) -> None:
"""Pre-compute and register ``_cos`` / ``_sin`` buffers up to *seq_len*.
Called once at init and again (doubling capacity) whenever ``forward``
is asked for a sequence longer than the current cache.
Args:
seq_len: Number of positions to pre-compute.
"""
t = torch.arange(
seq_len, device=self.inv_freq.device, dtype=self.inv_freq.dtype
)
freqs = torch.einsum("i,j->ij", t, self.inv_freq) # [T, dim/2]
emb = torch.cat([freqs, freqs], dim=-1) # [T, dim]
self.register_buffer("_cos", emb.cos()[None, None], persistent=False)
self.register_buffer("_sin", emb.sin()[None, None], persistent=False)
def forward(self, seq_len: int) -> Tuple[torch.Tensor, torch.Tensor]:
"""Return cached (cos, sin) tables for the first *seq_len* positions.
Args:
seq_len: Number of positions required.
Returns:
Tuple of ``(cos, sin)``, each shaped ``[1, 1, seq_len, dim]``,
ready to broadcast with ``[B, H, T, dim]`` query / key tensors.
"""
if seq_len > self._cos.shape[2]:
self._build_cache(seq_len * 2)
return self._cos[:, :, :seq_len], self._sin[:, :, :seq_len]
def _rotate_half(x: torch.Tensor) -> torch.Tensor:
"""Return *x* with its last dimension split and swapped with negation.
Given ``x = [xβ, xβ]`` (each half of the last dim), returns
``[-xβ, xβ]``. Combined with the cos/sin multiply in
:func:`apply_rotary_emb` this implements the 2-D rotation matrix
that defines RoPE.
Args:
x: Tensor with an even-sized last dimension.
Returns:
Rotated tensor with the same shape as *x*.
"""
half = x.shape[-1] // 2
return torch.cat([-x[..., half:], x[..., :half]], dim=-1)
def apply_rotary_emb(
x: torch.Tensor, cos: torch.Tensor, sin: torch.Tensor
) -> torch.Tensor:
"""Apply Rotary Position Embeddings in-place to query or key tensors.
Implements ``x_rot = x * cos + rotate_half(x) * sin``, which is
equivalent to multiplying each consecutive pair of dimensions by a
2-D rotation matrix whose angle depends on the sequence position and
the dimension's frequency.
Args:
x: Query or key tensor, shape ``[B, H, T, d]``.
cos: Pre-computed cosines, shape ``[1, 1, T, d]``.
sin: Pre-computed sines, shape ``[1, 1, T, d]``.
Returns:
Rotated tensor with the same shape and dtype as *x*.
"""
return x * cos + _rotate_half(x) * sin
# ---------------------------------------------------------------------------
# DeepSeek MoE FFN
# ---------------------------------------------------------------------------
class DeepSeekExpert(nn.Module):
"""Single fine-grained SwiGLU expert.
Faithful to DeepSeek-V3 ``Expert``:
output = w2( SiLU(w1(x)) β w3(x) )
where w1 is the gate projection, w3 the up-projection, w2 the
down-projection β identical to a SwiGLU FFN at smaller hidden dim.
Args:
d_model: Input / output dimension.
hidden_dim: Expert intermediate dimension (βͺ dense FFN hidden_dim).
"""
def __init__(self, d_model: int, hidden_dim: int) -> None:
"""Create a single fine-grained SwiGLU expert.
Args:
d_model: Token hidden dimension (input and output size).
hidden_dim: Expert intermediate dimension. Typically much
smaller than the dense FFN hidden dim β set to
``dense_hidden / m`` where *m* is the fine-grained
segmentation factor so total activated FLOPs match
the dense baseline.
"""
super().__init__()
self.w1 = nn.Linear(d_model, hidden_dim, bias=False) # gate
self.w3 = nn.Linear(d_model, hidden_dim, bias=False) # up
self.w2 = nn.Linear(hidden_dim, d_model, bias=False) # down
def forward(self, x: torch.Tensor) -> torch.Tensor:
"""Compute ``w2( SiLU(w1(x)) β w3(x) )``.
Args:
x: Token features assigned to this expert, shape
``[num_assigned_tokens, d_model]``.
Returns:
Expert output, shape ``[num_assigned_tokens, d_model]``.
"""
return self.w2(F.silu(self.w1(x)) * self.w3(x))
class DeepSeekGate(nn.Module):
"""Token-to-expert routing gate.
Faithful to DeepSeek-V3 ``Gate`` (minus distributed sharding).
Routing algorithm
~~~~~~~~~~~~~~~~~
1. ``scores = softmax(x W^T)`` or ``sigmoid(x W^T)``
2. ``original_scores = scores`` (saved β will be used for gate weights)
3. [optional] ``scores += bias`` (V3 aux-loss-free bias routing)
4. [optional] Group-limited masking:
- reshape scores β [T, n_groups, experts_per_group]
- keep only top-``topk_groups`` groups per token
- mask the rest to ββ
5. ``indices = topk(scores, K')`` (routing decision)
6. ``weights = original_scores[indices]`` (un-biased weights)
7. [sigmoid only] ``weights /= sum(weights)`` (re-normalise)
8. ``weights *= route_scale``
The ``original_scores`` (full distribution, before bias/masking) are also
returned so the MoE layer can compute the expert-level balance loss.
Args:
d_model: Token hidden dimension.
n_routed_experts: Total routed expert pool size (N_r).
n_activated: Top-K experts to select (K').
score_func: ``"softmax"`` or ``"sigmoid"``.
n_groups: Number of expert groups (1 = disabled).
topk_groups: Groups a token may route to (1 = disabled).
route_scale: Scalar applied to final gate weights.
use_bias: If True, add a learnable per-expert bias used only
for the routing decision (V3 aux-loss-free scheme).
"""
def __init__(
self,
d_model: int,
n_routed_experts: int,
n_activated: int,
score_func: str = "softmax",
n_groups: int = 1,
topk_groups: int = 1,
route_scale: float = 1.0,
use_bias: bool = False,
) -> None:
"""Create the routing gate.
Args:
d_model: Token hidden dimension.
n_routed_experts: Total number of routed experts in the pool (N_r).
n_activated: How many experts to select per token (K').
score_func: Affinity function β ``"softmax"`` (original
DeepSeekMoE / V2) or ``"sigmoid"`` (V3).
n_groups: Number of expert groups for device-limited
routing. Set to 1 to disable (default).
topk_groups: Number of groups each token may route into.
Set to 1 to disable (default).
route_scale: Scalar multiplied onto gate weights after
optional sigmoid normalisation (V3 uses 2.5446;
default 1.0 leaves weights unchanged).
use_bias: If ``True``, initialise a learnable per-expert
float32 bias added to routing scores only (not
gate weights). Enables the V3 aux-loss-free
load-balancing scheme where the bias is adjusted
outside the optimizer to track expert loads.
"""
super().__init__()
self.n_routed_experts = n_routed_experts
self.n_activated = n_activated
self.score_func = score_func
self.n_groups = n_groups
self.topk_groups = topk_groups
self.route_scale = route_scale
# Gating projection: [N_r, D]
self.weight = nn.Parameter(torch.empty(n_routed_experts, d_model))
nn.init.kaiming_uniform_(self.weight, a=math.sqrt(5))
# Optional per-expert routing bias (V3 aux-loss-free load balancing).
# Updated outside the optimizer by monitoring expert loads β not trained
# through the balance loss. Initialised to zero.
self.bias: Optional[nn.Parameter] = (
nn.Parameter(torch.zeros(n_routed_experts, dtype=torch.float32))
if use_bias
else None
)
def forward(
self, x: torch.Tensor
) -> Tuple[torch.Tensor, torch.Tensor, torch.Tensor]:
"""Compute routing weights and expert indices.
Args:
x: ``[num_tokens, d_model]`` (flattened B Γ T).
Returns:
weights: ``[num_tokens, K']`` gate weights (dtype = x.dtype).
indices: ``[num_tokens, K']`` selected expert indices (int64).
original_scores: ``[num_tokens, N_r]`` full soft scores (float32),
used by :class:`DeepSeekMoE` for the balance loss.
"""
# Affinity logits
logits = F.linear(x, self.weight) # [T, N_r]
if self.score_func == "softmax":
scores = logits.softmax(dim=-1, dtype=torch.float32)
else: # sigmoid (V3)
scores = logits.sigmoid().to(torch.float32)
original_scores = scores # un-biased; used for weights + balance loss
# Routing scores (may differ from original_scores if bias is active)
routing = scores
if self.bias is not None:
routing = routing + self.bias
# Group-limited routing (V3 device-group constraint)
if self.n_groups > 1:
# [T, n_groups, experts_per_group]
g = routing.view(x.size(0), self.n_groups, -1)
if self.bias is None:
group_scores = g.amax(dim=-1) # [T, G]
else:
# Top-2 sum per group (V3 heuristic)
group_scores = g.topk(2, dim=-1)[0].sum(dim=-1)
_, top_groups = group_scores.topk(self.topk_groups, dim=-1) # [T, topk_g]
mask = torch.ones(
x.size(0), self.n_groups, dtype=torch.bool, device=x.device
).scatter_(
1, top_groups, False
) # True = masked out
routing = g.masked_fill(mask.unsqueeze(-1), float("-inf")).flatten(1)
# Top-K selection (on routing scores which may include bias / group mask)
_, indices = routing.topk(self.n_activated, dim=-1) # [T, K']
# Gate weights from original (un-biased) scores
weights = original_scores.gather(1, indices) # [T, K']
if self.score_func == "sigmoid":
weights = weights / weights.sum(dim=-1, keepdim=True).clamp(min=1e-9)
weights = (weights * self.route_scale).to(x.dtype)
return weights, indices, original_scores
class DeepSeekMoE(nn.Module):
"""DeepSeek Mixture-of-Experts layer β drop-in replacement for a dense FFN.
Combines shared experts (always active) and routed experts (sparse top-K)
exactly as in DeepSeek-V3 ``MoE``, adapted for single-device training
(no ColumnParallel/RowParallel, no all_reduce).
Forward pass
~~~~~~~~~~~~
::
x_flat = x.view(-1, D) # [B*T, D]
# Shared path (always executed)
z = shared_experts(x_flat) # [B*T, D]
# Routed path (sparse)
weights, indices, scores = gate(x_flat) # [B*T, K'], [B*T, K'], [B*T, N_r]
y = zeros_like(x_flat)
for each expert i:
toks = tokens that selected expert i
y[toks] += experts[i](x_flat[toks]) * weights[toks, rank_of_i]
output = (y + z).view(B, T, D)
# Training: expert-level balance loss (DeepSeekMoE Β§3.3)
L_ExpBal = Ξ£_i f_i Β· P_i
f_i = (N_r / (K' Β· T)) Β· #{tokens β expert i}
P_i = mean_t(scores_{t,i})
Args:
cfg: :class:`MoDAConfig` instance.
"""
def __init__(self, cfg: MoDAConfig) -> None:
"""Build the MoE layer from a :class:`MoDAConfig`.
Constructs:
* ``shared_experts`` β one dense SwiGLU FFN with hidden dimension
``n_shared_experts Γ expert_hidden_dim``.
* ``gate`` β :class:`DeepSeekGate` for top-K routing.
* ``experts`` β ``nn.ModuleList`` of ``n_routed_experts``
:class:`DeepSeekExpert` instances, each with ``expert_hidden_dim``
intermediate units.
Args:
cfg: Model configuration. The relevant fields are
``n_shared_experts``, ``n_routed_experts``,
``n_activated_experts``, ``expert_hidden_dim``,
``moe_balance_alpha``, ``moe_score_func``,
``moe_n_groups``, ``moe_topk_groups``, and
``moe_route_scale``.
"""
super().__init__()
self.d_model = cfg.d_model
self.n_routed_experts = cfg.n_routed_experts
self.n_activated_experts = cfg.n_activated_experts
self.moe_balance_alpha = cfg.moe_balance_alpha
# Shared experts: single dense SwiGLU with hidden = K_s Γ expert_hidden
# (matches DeepSeek-V3's ``MLP(dim, n_shared_experts * moe_inter_dim)``)
shared_hidden = cfg.n_shared_experts * cfg.expert_hidden_dim
self.shared_experts = _SharedFFN(cfg.d_model, shared_hidden)
# Routing gate
self.gate = DeepSeekGate(
d_model=cfg.d_model,
n_routed_experts=cfg.n_routed_experts,
n_activated=cfg.n_activated_experts,
score_func=cfg.moe_score_func,
n_groups=cfg.moe_n_groups,
topk_groups=cfg.moe_topk_groups,
route_scale=cfg.moe_route_scale,
use_bias=False,
)
# Routed experts pool
self.experts = nn.ModuleList(
[
DeepSeekExpert(cfg.d_model, cfg.expert_hidden_dim)
for _ in range(cfg.n_routed_experts)
]
)
def forward(self, x: torch.Tensor) -> Tuple[torch.Tensor, Optional[torch.Tensor]]:
"""Run the MoE layer.
Args:
x: ``[B, T, D]`` hidden states.
Returns:
output: ``[B, T, D]`` updated hidden states.
balance_loss: Scalar expert-level balance loss (during training),
or ``None`` during inference.
"""
shape = x.shape
x_flat = x.view(-1, self.d_model) # [T_tot, D]
n_tokens = x_flat.size(0)
# ---- Shared experts (all tokens) ---------------------------------
z = self.shared_experts(x_flat) # [T_tot, D]
# ---- Routed experts (sparse) -------------------------------------
weights, indices, scores = self.gate(x_flat)
# weights: [T_tot, K'], indices: [T_tot, K'], scores: [T_tot, N_r]
y = torch.zeros_like(x_flat)
# Dispatch: for each expert compute on its assigned tokens
# (token-major loop matches DeepSeek-V3's reference implementation)
counts = torch.bincount(indices.flatten(), minlength=self.n_routed_experts)
for i, expert in enumerate(self.experts):
if counts[i].item() == 0:
continue
tok_idx, rank_in_k = torch.where(
indices == i
) # which tokens & which K slot
y[tok_idx] += expert(x_flat[tok_idx]) * weights[tok_idx, rank_in_k, None]
output = (y + z).view(shape)
# ---- Expert-level balance loss (DeepSeekMoE Β§3.3) ----------------
balance_loss: Optional[torch.Tensor] = None
if self.training and self.moe_balance_alpha > 0.0:
balance_loss = self._balance_loss(indices, scores, n_tokens)
return output, balance_loss
def _balance_loss(
self,
indices: torch.Tensor, # [T, K'] int64
scores: torch.Tensor, # [T, N_r] float32 (full distribution)
n_tokens: int,
) -> torch.Tensor:
"""Compute the expert-level balance loss (DeepSeekMoE Β§3.3).
Penalises routing imbalance by encouraging the model to spread tokens
evenly across experts. Only the soft-score term ``P_i`` receives a
gradient; the hard-count term ``f_i`` is non-differentiable and acts
as a fixed weighting coefficient.
::
f_i = (N_r / (K' Γ T)) Γ #{tokens routed to expert i}
P_i = (1/T) Ξ£_t scores[t, i]
L = Ξ£_i f_i Β· P_i
For perfect balance ``f_i = 1`` for all *i* and ``L = Ξ£ P_i = 1``
(softmax) or some constant (sigmoid). Overloaded experts produce
large ``f_i``, pushing their mean score ``P_i`` up via the gradient
and thereby attracting more tokens β stabilising load over training.
Args:
indices: ``[T, K']`` int64 β expert indices selected per token.
scores: ``[T, N_r]`` float32 β full soft distribution from the
gate (before top-K selection), used for ``P_i``.
n_tokens: Total number of tokens in the batch (``B Γ T``).
Returns:
Scalar balance loss tensor.
"""
Nr, K = self.n_routed_experts, self.n_activated_experts
# Routing counts per expert (non-differentiable)
counts = torch.zeros(Nr, dtype=torch.float32, device=indices.device)
counts.scatter_add_(
0,
indices.flatten(),
torch.ones(indices.numel(), dtype=torch.float32, device=indices.device),
)
f = counts * (Nr / (K * n_tokens)) # normalised frequency [N_r]
# Mean soft gate score per expert (differentiable through softmax/sigmoid)
P = scores.mean(dim=0) # [N_r]
# f is derived from hard top-K β no gradient; gradient flows through P only
return (f * P).sum()
class _SharedFFN(nn.Module):
"""Dense SwiGLU FFN used for the always-active shared experts.
Mirrors :class:`DeepSeekExpert` but is a single larger MLP whose
``hidden_dim`` equals ``n_shared_experts Γ expert_hidden_dim``. This
matches DeepSeek-V3's ``MLP(dim, n_shared_experts * moe_inter_dim)``.
Not part of the public API β instantiated only by :class:`DeepSeekMoE`.
"""
def __init__(self, d_model: int, hidden_dim: int) -> None:
"""Create the shared-expert FFN.
Args:
d_model: Token hidden dimension (input and output).
hidden_dim: Combined intermediate size for all shared experts
(``n_shared_experts Γ expert_hidden_dim``).
"""
super().__init__()
self.w1 = nn.Linear(d_model, hidden_dim, bias=False)
self.w3 = nn.Linear(d_model, hidden_dim, bias=False)
self.w2 = nn.Linear(hidden_dim, d_model, bias=False)
def forward(self, x: torch.Tensor) -> torch.Tensor:
"""Apply the shared SwiGLU FFN to every token.
Args:
x: Flattened token features, shape ``[B*T, d_model]``.
Returns:
Transformed features, shape ``[B*T, d_model]``.
"""
return self.w2(F.silu(self.w1(x)) * self.w3(x))
# ---------------------------------------------------------------------------
# MoDA Attention (unchanged from base file)
# ---------------------------------------------------------------------------
class MoDAAttention(nn.Module):
"""Mixture-of-Depths Attention β read side.
Each query jointly attends (single softmax) to:
* Sequence KVs at the current layer (causal GQA).
* Depth KVs from all preceding layers at the *same* token position.
Depth cache entries are written externally by :class:`MoDABlock` from
the full block output X_l^out (after the MoE FFN).
Args:
cfg: :class:`MoDAConfig` instance.
"""
def __init__(self, cfg: MoDAConfig) -> None:
"""Build the MoDA attention module.
Creates four projection matrices (Q, K, V, O) sized for GQA and
stores the attention scale and dropout rate.
Args:
cfg: Model configuration. Must satisfy
``n_heads_q % n_heads_kv == 0`` (GQA requirement).
Raises:
ValueError: If ``n_heads_q`` is not divisible by ``n_heads_kv``.
"""
super().__init__()
if cfg.n_heads_q % cfg.n_heads_kv != 0:
raise ValueError(
f"n_heads_q ({cfg.n_heads_q}) must be divisible by "
f"n_heads_kv ({cfg.n_heads_kv}) for GQA."
)
self.n_heads_q = cfg.n_heads_q
self.n_heads_kv = cfg.n_heads_kv
self.head_dim = cfg.head_dim
self.gqa_group = cfg.n_heads_q // cfg.n_heads_kv
self.scale = cfg.head_dim**-0.5
self.dropout = cfg.attn_dropout
inner_q = cfg.n_heads_q * cfg.head_dim
inner_kv = cfg.n_heads_kv * cfg.head_dim
self.q_proj = nn.Linear(cfg.d_model, inner_q, bias=False)
self.k_proj = nn.Linear(cfg.d_model, inner_kv, bias=False)
self.v_proj = nn.Linear(cfg.d_model, inner_kv, bias=False)
self.o_proj = nn.Linear(inner_q, cfg.d_model, bias=False)
def _expand_kv(self, kv: torch.Tensor) -> torch.Tensor:
"""Repeat KV heads along dim 1 to match the number of query heads.
With GQA group size G, each KV head is shared by G query heads.
``repeat_interleave(G, dim=1)`` produces the correct interleaved
expansion so that query head ``h`` is paired with KV head ``h // G``.
Args:
kv: Key or value tensor whose dim 1 is the KV-head axis.
Supported shapes: ``[B, Hk, T, d]`` (sequence) and
``[B, Hk, T, L, d]`` (depth stack).
Returns:
Tensor with dim 1 expanded from ``Hk`` to ``Hq = Hk Γ G``.
Returns *kv* unchanged when ``gqa_group == 1``.
"""
if self.gqa_group == 1:
return kv
return kv.repeat_interleave(self.gqa_group, dim=1)
def forward(
self,
x: torch.Tensor,
depth_k_cache: List[torch.Tensor],
depth_v_cache: List[torch.Tensor],
cos: torch.Tensor,
sin: torch.Tensor,
) -> torch.Tensor:
"""Compute MoDA attention output.
Args:
x: ``[B, T, D]`` input hidden states.
depth_k_cache: ``L`` tensors each ``[B, Hk, T, d]`` β depth keys.
depth_v_cache: Matching depth values.
cos/sin: RoPE tables ``[1, 1, T, d]``.
Returns:
``[B, T, D]`` output hidden states.
"""
B, T, D = x.shape
Hq, Hk, d = self.n_heads_q, self.n_heads_kv, self.head_dim
Q = self.q_proj(x).view(B, T, Hq, d).transpose(1, 2)
K = self.k_proj(x).view(B, T, Hk, d).transpose(1, 2)
V = self.v_proj(x).view(B, T, Hk, d).transpose(1, 2)
Q = apply_rotary_emb(Q, cos, sin)
K = apply_rotary_emb(K, cos, sin)
K_e = self._expand_kv(K)
V_e = self._expand_kv(V)
L = len(depth_k_cache)
if L == 0:
out = F.scaled_dot_product_attention(
Q,
K_e,
V_e,
is_causal=True,
dropout_p=self.dropout if self.training else 0.0,
scale=self.scale,
)
else:
# Sequence logits [B, Hq, T, T] with causal mask
seq_logits = torch.matmul(Q, K_e.transpose(-2, -1)) * self.scale
causal_mask = torch.triu(
torch.full((T, T), float("-inf"), device=x.device, dtype=Q.dtype),
diagonal=1,
)
seq_logits = seq_logits + causal_mask
# Depth KVs: [B, Hk, L, T, d] β [B, Hk, T, L, d]
K_depth = torch.stack(depth_k_cache, dim=2).permute(0, 1, 3, 2, 4)
V_depth = torch.stack(depth_v_cache, dim=2).permute(0, 1, 3, 2, 4)
K_depth_e = self._expand_kv(K_depth)
V_depth_e = self._expand_kv(V_depth)
# Depth logits [B, Hq, T, L]
depth_logits = torch.einsum("bhid,bhild->bhil", Q, K_depth_e) * self.scale
# Unified softmax over T + L positions
combined = torch.cat([seq_logits, depth_logits], dim=-1)
weights = F.softmax(combined, dim=-1)
if self.training and self.dropout > 0.0:
weights = F.dropout(weights, p=self.dropout)
seq_contrib = torch.matmul(weights[:, :, :, :T], V_e)
depth_contrib = torch.einsum(
"bhil,bhild->bhid", weights[:, :, :, T:], V_depth_e
)
out = seq_contrib + depth_contrib
out = out.transpose(1, 2).reshape(B, T, Hq * d)
return self.o_proj(out)
# ---------------------------------------------------------------------------
# MoDA Transformer Block
# ---------------------------------------------------------------------------
class MoDABlock(nn.Module):
"""Single MoDA + DeepSeek-MoE transformer block.
Structure (post-norm, per MoDA paper recommendation):
.. code-block::
x βββΊ Attention βββΊ + βββΊ RMSNorm βββΊ x_mid
x β (residual)
x_mid βββΊ MoE βββΊ + βββΊ RMSNorm βββΊ x_out
x_mid β (residual)
x_out βββΊ W_K^W βββΊ k_write } appended to MoDA depth KV cache
βββΊ W_V^W βββΊ v_write } by MoDAModel for the next layer
The MoE layer also returns an optional expert-level balance loss scalar
which is propagated up to :class:`MoDAModel` for inclusion in the total
training loss.
Args:
cfg: :class:`MoDAConfig` instance.
"""
def __init__(self, cfg: MoDAConfig) -> None:
"""Build one MoDA + MoE transformer block.
Constructs and wires together:
* ``attn`` β :class:`MoDAAttention` (depth-aware GQA).
* ``moe`` β :class:`DeepSeekMoE` (shared + routed experts).
* ``norm_attn`` / ``norm_ffn`` β post-sublayer :class:`RMSNorm`.
* ``k_write`` / ``v_write`` β depth-cache write projections
``D β n_heads_kv Γ head_dim``.
Args:
cfg: Model configuration.
"""
super().__init__()
inner_kv = cfg.n_heads_kv * cfg.head_dim
self.attn = MoDAAttention(cfg)
self.moe = DeepSeekMoE(cfg)
self.norm_attn = RMSNorm(cfg.d_model, cfg.norm_eps)
self.norm_ffn = RMSNorm(cfg.d_model, cfg.norm_eps)
# MoDA depth-cache write projections: K_l = X_l^out W_K^W, V_l = X_l^out W_V^W
self.k_write = nn.Linear(cfg.d_model, inner_kv, bias=False)
self.v_write = nn.Linear(cfg.d_model, inner_kv, bias=False)
self._n_heads_kv = cfg.n_heads_kv
self._head_dim = cfg.head_dim
def forward(
self,
x: torch.Tensor,
depth_k_cache: List[torch.Tensor],
depth_v_cache: List[torch.Tensor],
cos: torch.Tensor,
sin: torch.Tensor,
) -> Tuple[torch.Tensor, torch.Tensor, torch.Tensor, Optional[torch.Tensor]]:
"""Run one MoDA + MoE transformer block.
Args:
x: ``[B, T, D]`` input hidden states.
depth_k_cache: Depth keys from all preceding layers, each ``[B, Hk, T, d]``.
depth_v_cache: Matching depth values.
cos/sin: RoPE tables ``[1, 1, T, d]``.
Returns:
x_out: ``[B, T, D]`` updated hidden states.
k_write: ``[B, Hk, T, d]`` depth cache key for this layer.
v_write: ``[B, Hk, T, d]`` depth cache value for this layer.
balance_loss: Scalar expert-level balance loss, or ``None`` at inference.
"""
B, T, _ = x.shape
# Post-norm attention sub-layer
x = self.norm_attn(x + self.attn(x, depth_k_cache, depth_v_cache, cos, sin))
# Post-norm MoE sub-layer
moe_out, balance_loss = self.moe(x)
x = self.norm_ffn(x + moe_out)
# Depth write projections from X_l^out (full block output, after MoE)
k_write = (
self.k_write(x).view(B, T, self._n_heads_kv, self._head_dim).transpose(1, 2)
)
v_write = (
self.v_write(x).view(B, T, self._n_heads_kv, self._head_dim).transpose(1, 2)
)
# RoPE on k_write for positional consistency during future depth reads
k_write = apply_rotary_emb(k_write, cos, sin)
return x, k_write, v_write, balance_loss
# ---------------------------------------------------------------------------
# Full MoDA + MoE Language Model
# ---------------------------------------------------------------------------
class MoDAModel(nn.Module):
"""Decoder-only LM with Mixture-of-Depths Attention and DeepSeek MoE FFN.
Loss = LM cross-entropy + moe_balance_alpha Γ mean(per-layer balance losses)
The depth KV cache is a local list inside :meth:`forward` β never stored
on ``self``, so autograd is clean across independent forward calls.
Args:
cfg: :class:`MoDAConfig` specifying the full model.
"""
def __init__(self, cfg: MoDAConfig) -> None:
"""Build the full MoDA + MoE language model.
Constructs the token embedding, RoPE, all transformer blocks, a final
RMSNorm, and the language-model head. The embedding and LM-head
weights are tied so they share the same parameter.
Args:
cfg: :class:`MoDAConfig` that fully specifies the model.
"""
super().__init__()
self.cfg = cfg
self.embed = nn.Embedding(cfg.vocab_size, cfg.d_model)
self.rope = RotaryEmbedding(cfg.head_dim, cfg.max_seq_len, cfg.rope_base)
self.blocks = nn.ModuleList([MoDABlock(cfg) for _ in range(cfg.n_layers)])
self.norm_out = RMSNorm(cfg.d_model, cfg.norm_eps)
self.lm_head = nn.Linear(cfg.d_model, cfg.vocab_size, bias=False)
self.lm_head.weight = self.embed.weight # weight tying
self._init_weights()
def _init_weights(self) -> None:
"""Apply GPT-style weight initialisation to every sub-module.
* :class:`nn.Linear` and :class:`nn.Embedding` weights are drawn from
``Normal(0, 0.02)`` β the standard initialisation used by GPT-2 and
most subsequent transformer implementations.
* :class:`DeepSeekGate` weight matrices are re-initialised with
``kaiming_uniform`` (fan-in) to match the default ``nn.Linear``
init and avoid the Normal distribution being too narrow for a matrix
used without a subsequent non-linearity.
Called automatically at the end of :meth:`__init__`.
"""
for m in self.modules():
if isinstance(m, (nn.Linear, nn.Embedding)):
nn.init.normal_(m.weight, mean=0.0, std=0.02)
elif isinstance(m, DeepSeekGate):
nn.init.kaiming_uniform_(m.weight, a=math.sqrt(5))
def forward(
self,
input_ids: torch.Tensor,
labels: Optional[torch.Tensor] = None,
) -> Tuple[torch.Tensor, Optional[torch.Tensor]]:
"""Run the full MoDA + MoE language model.
Args:
input_ids: ``[B, T]`` token indices.
labels: ``[B, T]`` targets for LM loss; -100 positions ignored.
Returns:
logits: ``[B, T, vocab_size]``.
loss: ``lm_loss + balance_loss`` if labels provided, else ``None``.
"""
B, T = input_ids.shape
if T > self.cfg.max_seq_len:
raise ValueError(
f"Sequence length {T} exceeds max_seq_len={self.cfg.max_seq_len}."
)
x = self.embed(input_ids)
cos, sin = self.rope(T)
depth_k_cache: List[torch.Tensor] = []
depth_v_cache: List[torch.Tensor] = []
balance_losses: List[torch.Tensor] = []
for block in self.blocks:
x, k_write, v_write, bal = block(x, depth_k_cache, depth_v_cache, cos, sin)
depth_k_cache.append(k_write)
depth_v_cache.append(v_write)
if bal is not None:
balance_losses.append(bal)
x = self.norm_out(x)
logits = self.lm_head(x)
loss: Optional[torch.Tensor] = None
if labels is not None:
lm_loss = F.cross_entropy(
logits.view(-1, self.cfg.vocab_size),
labels.view(-1),
ignore_index=-100,
)
if balance_losses and self.cfg.moe_balance_alpha > 0.0:
avg_balance = torch.stack(balance_losses).mean()
loss = lm_loss + self.cfg.moe_balance_alpha * avg_balance
else:
loss = lm_loss
return logits, loss
def num_parameters(self, trainable_only: bool = False) -> int:
"""Count the total number of scalar parameters in the model.
Args:
trainable_only: If ``True``, count only parameters with
``requires_grad=True``, excluding frozen layers.
Returns:
Integer parameter count.
"""
params = (
self.parameters()
if not trainable_only
else (p for p in self.parameters() if p.requires_grad)
)
return sum(p.numel() for p in params)
def extra_repr(self) -> str:
"""Return a one-line summary string shown inside ``repr(model)``.
Displayed by PyTorch's ``__repr__`` directly after the class name,
before the sub-module tree.
Returns:
Human-readable string listing key model dimensions and the total
parameter count.
"""
c = self.cfg
return (
f"vocab={c.vocab_size}, d_model={c.d_model}, layers={c.n_layers}, "
f"heads={c.n_heads_q}/{c.n_heads_kv} (GQA), "
f"experts=sharedΓ{c.n_shared_experts}+routedΓ{c.n_routed_experts}"
f"(top-{c.n_activated_experts}), "
f"params={self.num_parameters():,}"
)
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