硬核深度解析:KimiDeltaAttention 源码逐行精读+公式推导+复杂度优化(完整可运行)

硬核深度解析:KimiDeltaAttention 源码逐行精读+公式推导+复杂度优化(完整可运行)

本文深度拆解 Kimi 大模型核心 KimiDeltaAttention(KDA) 源码,逐行解读、公式推导、设计思想、复杂度优化一网打尽,附带完整可直接使用代码,适合深度学习/大模型/注意力机制研究者学习。

前言

传统 Transformer 自注意力存在致命缺陷:时间/空间复杂度 O(N2)O(N^2)O(N2),长文本场景下显存爆炸、速度极慢。

KimiDeltaAttention(KDA) 是革命性的线性复杂度注意力 ,将复杂度降至 O(N)O(N)O(N),同时融合短卷积局部建模+状态空间全局记忆+门控机制,在长文本理解、逻辑推理、推理速度上全面超越传统注意力。

本文将从 源码逐行精读 → 核心数学公式推导 → 设计思想 → 复杂度与逻辑提升 → 完整代码 五个维度彻底吃透 KDA。


一、整体架构总览

KimiDeltaAttention 核心设计 = 短卷积(局部特征)+ 线性注意力(全局依赖)+ 状态空间模型(长程记忆)+ 多门控(信息筛选)

  • 训练模式:chunk 分块并行计算
  • 推理模式:fused_recurrent 循环流式计算
  • 复杂度:O(N⋅H⋅d2)O(N \cdot H \cdot d^2)O(N⋅H⋅d2),NNN 为序列长度,HHH 为头数,ddd 为头维度
  • 优势:无限长文本、极低显存、极高推理速度、强逻辑表达

二、依赖与模块导入(逐行解读)

python 复制代码
# Copyright (c) 2023-2025, Songlin Yang, Yu Zhang
# 版权声明,代码归属作者

# 启用注解类型提示,提升代码可读性与类型检查
from __future__ import annotations

# 基础数学库,用于指数、对数、数值计算
import math
# 类型注解支持,标记仅用于类型检查的导入
from typing import TYPE_CHECKING

# PyTorch 核心库,深度学习张量计算与模块定义
import torch
import torch.nn as nn
# 张量维度重排神器,简化 Transformer 维度变换代码
from einops import rearrange, repeat
# PyTorch 函数式 API
from torch.nn import functional as F

# FLA 框架工具函数:缓存管理、序列填充/解填充、张量索引
from fla.layers.utils import get_layer_cache, get_unpad_data, index_first_axis, pad_input, update_layer_cache
# 自定义融合层:门控归一化、短卷积
from fla.modules import FusedRMSNormGated, ShortConvolution
# KDA 核心算子:分块计算、融合循环计算
from fla.ops.kda import chunk_kda, fused_recurrent_kda
# KDA 门控融合算子
from fla.ops.kda.gate import fused_kda_gate

# 类型检查阶段导入,运行时不加载,避免循环依赖
if TYPE_CHECKING:
    from transformers.processing_utils import Unpack
    from fla.models.utils import Cache

核心作用 :导入基础依赖 + FLA 加速算子,einops 简化维度变换,自定义 CUDA 算子是 KDA 速度的核心保障


三、类定义与初始化参数

python 复制代码
class KimiDeltaAttention(nn.Module):
    """
    Kimi Delta Attention (KDA) 层实现
    线性复杂度注意力,融合短卷积+状态空间模型,替代传统自注意力

    Args:
        hidden_size: 输入特征维度,默认 2048
        expand_v: Value 维度扩张系数,默认 1.0
        head_dim: 单注意力头维度,默认 128
        num_heads: 注意力头数量,默认 16
        num_v_heads: Value 头数,默认等于 num_heads,GVA 分组注意力使用
        mode: 计算模式,chunk(训练)/fused_recurrent(推理)
        use_short_conv: 是否使用短卷积,默认 True
        allow_neg_eigval: 是否允许负特征值,提升长程记忆能力
        conv_size: 短卷积核大小,默认 4
        conv_bias: 卷积是否使用偏置
        layer_idx: 模型层索引
        norm_eps: 归一化层极小值,防止除 0
    """

设计思想:标准化注意力层接口,兼容 Transformer 生态,参数可配置,适配不同模型规模。


四、init 初始化函数(逐行精读)

这是 KDA 的参数定义与网络搭建核心,所有可学习参数、网络层都在这里初始化。

python 复制代码
    def __init__(
        self,
        hidden_size: int = 2048,
        expand_v: float = 1,
        head_dim: int = 128,
        num_heads: int = 16,
        num_v_heads: int = None,
        mode: str = "chunk",
        use_short_conv: bool = True,
        allow_neg_eigval: bool = False,
        conv_size: int = 4,
        conv_bias: bool = False,
        layer_idx: int = None,
        norm_eps: float = 1e-5,
        **kwargs,
    ) -> KimiDeltaAttention:
        # 继承 nn.Module 初始化
        super().__init__()

        # ===================== 基础配置 =====================
        # 计算模式(训练/推理)
        self.mode = mode
        # 是否启用负特征值(提升状态追踪能力)
        self.allow_neg_eigval = allow_neg_eigval
        # 输入特征维度
        self.hidden_size = hidden_size
        # Value 维度扩张系数
        self.expand_v = expand_v

        # ===================== 短卷积配置 =====================
        # 是否使用短卷积提取局部特征
        self.use_short_conv = use_short_conv
        # 卷积核大小
        self.conv_size = conv_size
        # 卷积偏置
        self.conv_bias = conv_bias

        # ===================== 注意力头维度配置 =====================
        # 单头维度
        self.head_dim = head_dim
        # Query/Key 头数
        self.num_heads = num_heads
        # Value 头数(GVA 分组注意力,默认等于 Q/K 头数)
        self.num_v_heads = num_v_heads if num_v_heads is not None else num_heads

        # 计算 Key/Value 最终维度
        self.head_k_dim = head_dim
        self.head_v_dim = int(self.head_dim * self.expand_v)
        self.key_dim = int(self.num_heads * self.head_k_dim)
        self.value_dim = int(self.num_v_heads * self.head_v_dim)
        # 层索引
        self.layer_idx = layer_idx

        # ===================== 参数合法性校验 =====================
        # 校验 Value 维度为整数,避免线性层报错
        if not math.isclose(self.num_v_heads * self.head_dim * expand_v, self.value_dim, rel_tol=1e-5):
            raise ValueError(f"expand_v={expand_v} 计算得到非法 Value 维度")
        # GVA 校验:Value 头数必须是 Q/K 头数的整数倍
        if self.num_v_heads > self.num_heads and self.num_v_heads % self.num_heads != 0:
            raise ValueError(f"num_v_heads 必须能被 num_heads 整除")
        # 校验单头 Value 维度合法性
        if not math.isclose(head_dim * expand_v, self.head_v_dim, rel_tol=1e-5):
            raise ValueError(f"expand_v={expand_v} 计算得到非法头维度")
        # 仅支持两种计算模式
        assert mode in ["chunk", "fused_recurrent"], f"不支持模式 {mode}"

        # ===================== Q/K/V 线性投影层 =====================
        # Query 投影:无偏置,输入→Key 总维度
        self.q_proj = nn.Linear(hidden_size, self.key_dim, bias=False)
        # Key 投影
        self.k_proj = nn.Linear(hidden_size, self.key_dim, bias=False)
        # Value 投影:输入→Value 总维度
        self.v_proj = nn.Linear(hidden_size, self.value_dim, bias=False)

        # ===================== 短卷积层(局部特征提取) =====================
        if use_short_conv:
            # Query 分支短卷积:SiLU 激活,提取局部时序特征
            self.q_conv1d = ShortConvolution(
                hidden_size=self.key_dim,
                kernel_size=conv_size,
                bias=conv_bias,
                activation="silu",
            )
            # Key 分支短卷积
            self.k_conv1d = ShortConvolution(
                hidden_size=self.key_dim,
                kernel_size=conv_size,
                bias=conv_bias,
                activation="silu",
            )
            # Value 分支短卷积
            self.v_conv1d = ShortConvolution(
                hidden_size=self.value_dim,
                kernel_size=conv_size,
                bias=conv_bias,
                activation="silu",
            )

        # ===================== 门控投影层 =====================
        # F 门控:控制状态更新
        self.f_proj = nn.Sequential(
            nn.Linear(hidden_size, self.head_v_dim, bias=False),
            nn.Linear(self.head_v_dim, self.key_dim, bias=False),
        )
        # Beta 投影:状态缩放系数,Sigmoid 约束在 0~1
        self.b_proj = nn.Linear(hidden_size, self.num_heads, bias=False)

        # ===================== 状态动力学可学习参数 =====================
        # 衰减系数 A:控制历史信息遗忘速度,无权重衰减
        self.A_log = nn.Parameter(torch.log(torch.empty(self.num_heads, dtype=torch.float32).uniform_(1, 16)))
        self.A_log._no_weight_decay = True
        # 时间步长偏置 dt:控制状态更新速率
        dt = torch.exp(
            torch.rand(self.key_dim, dtype=torch.float32) * (math.log(0.1) - math.log(0.001)) + math.log(0.001)
        ).clamp(min=1e-4)
        inv_dt = dt + torch.log(-torch.expm1(-dt))
        self.dt_bias = nn.Parameter(inv_dt)
        self.dt_bias._no_weight_decay = True

        # ===================== 输出门控与归一化 =====================
        # 输出门控投影
        self.g_proj = nn.Sequential(
            nn.Linear(hidden_size, self.head_v_dim, bias=False),
            nn.Linear(self.head_v_dim, self.value_dim, bias=True),
        )
        # 融合门控 RMS 归一化:数值稳定,训练加速
        self.o_norm = FusedRMSNormGated(self.head_v_dim, activation="sigmoid", eps=norm_eps)
        # 最终输出投影:还原回输入维度
        self.o_proj = nn.Linear(self.value_dim, hidden_size, bias=False)

初始化核心设计点

  1. GVA 分组注意力:减少 Value 参数量,降低计算量,不损失效果
  2. 短卷积 :先提取局部语法/短语特征,再做全局注意力
  3. 动力学参数A_log(衰减)+ dt_bias(步长),模拟 RNN 长程记忆
  4. 无权重衰减:保护动力学参数,不被正则化破坏
  5. 多门控机制:动态筛选信息,过滤噪声,提升逻辑表达

五、forward 前向传播(逐行精读+公式)

前向传播是 KDA 计算的核心流程,包含:卷积→投影→门控→状态更新→输出归一化。

python 复制代码
    def forward(
        self,
        hidden_states: torch.Tensor,
        attention_mask: torch.Tensor | None = None,
        past_key_values: Cache | None = None,
        use_cache: bool | None = False,
        output_attentions: bool | None = False,
        **kwargs: Unpack[dict],
    ) -> tuple[torch.Tensor, torch.Tensor | None, Cache | None]:
        # 校验注意力掩码:仅支持 2D padding 掩码,不支持全注意力矩阵
        if attention_mask is not None:
            assert len(attention_mask.shape) == 2, (
                "attention_mask 必须是 [batch_size, seq_len] 的 0-1 矩阵"
            )

        # 获取批次大小与序列长度
        batch_size, q_len, _ = hidden_states.shape
        
        # ===================== 模式自动切换 =====================
        # 推理+短序列:使用 fused_recurrent 极致加速
        # 训练:必须使用 chunk 分块并行
        mode = "fused_recurrent" if (q_len <= 64 and not self.training) else self.mode
        if self.training:
            assert mode == "chunk", "训练仅支持 chunk 模式"

        # ===================== 加载历史缓存 =====================
        # 获取上一时刻的卷积缓存+状态缓存(推理加速)
        last_state = get_layer_cache(self, past_key_values)

        # ===================== 处理 padding 序列 =====================
        cu_seqlens = kwargs.get("cu_seqlens")
        if attention_mask is not None:
            # 解填充:去掉 padding token,减少无效计算
            indices, cu_seqlens, _ = get_unpad_data(attention_mask[:, -q_len:])
            hidden_states = index_first_axis(rearrange(hidden_states, "b s ... -> (b s) ..."), indices).unsqueeze(0)

        # ===================== Q/K/V 投影 + 短卷积 =====================
        if self.use_short_conv:
            # 初始化卷积缓存
            conv_state_q, conv_state_k, conv_state_v = None, None, None
            if last_state is not None:
                conv_state_q, conv_state_k, conv_state_v = last_state["conv_state"]
            # Q 分支:线性投影 → 短卷积 → SiLU 激活
            q, conv_state_q = self.q_conv1d(
                x=self.q_proj(hidden_states),
                cache=conv_state_q,
                output_final_state=use_cache,
                cu_seqlens=cu_seqlens,
            )
            # K 分支
            k, conv_state_k = self.k_conv1d(
                x=self.k_proj(hidden_states),
                cache=conv_state_k,
                output_final_state=use_cache,
                cu_seqlens=cu_seqlens,
            )
            # V 分支
            v, conv_state_v = self.v_conv1d(
                x=self.v_proj(hidden_states),
                cache=conv_state_v,
                output_final_state=use_cache,
                cu_seqlens=cu_seqlens,
            )
        else:
            # 无卷积:直接投影+SiLU 激活
            q = F.silu(self.q_proj(hidden_states))
            k = F.silu(self.k_proj(hidden_states))
            v = F.silu(self.v_proj(hidden_states))

        # ===================== 门控计算 =====================
        # F 门控:状态更新门
        g = self.f_proj(hidden_states)
        # Beta 缩放:Sigmoid 约束到 0~1
        beta = self.b_proj(hidden_states).sigmoid()

        # ===================== 维度重排 =====================
        # [B, L, D] → [B, L, H, d_h],适配多头计算
        q, k, g = (rearrange(x, "... (h d) -> ... h d", d=self.head_k_dim) for x in (q, k, g))
        v = rearrange(v, "... (h d) -> ... h d", d=self.head_v_dim)

        # ===================== GVA 分组适配 =====================
        if self.num_v_heads > self.num_heads:
            # 重复 Q/K 适配多 Value 头
            q, k, g = (repeat(x, "... h d -> ... (h g) d", g=self.num_v_heads // self.num_heads) for x in (q, k, g))
            beta = repeat(beta, "... h -> ... (h g)", g=self.num_v_heads // self.num_heads)

        # 负特征值:Beta 系数翻倍
        if self.allow_neg_eigval:
            beta = beta * 2.0

        # ===================== 加载状态缓存 =====================
        recurrent_state = last_state["recurrent_state"] if last_state is not None else None

        # ===================== KDA 核心计算(公式落地) =====================
        if mode == "chunk":
            # 分块模式:训练使用,并行计算,线性复杂度
            o, recurrent_state = chunk_kda(
                q=q,
                k=k,
                v=v,
                g=g,
                beta=beta,
                A_log=self.A_log,
                dt_bias=self.dt_bias,
                initial_state=recurrent_state,
                output_final_state=use_cache,
                use_qk_l2norm_in_kernel=True,
                use_gate_in_kernel=True,
                cu_seqlens=cu_seqlens,
            )
        elif mode == "fused_recurrent":
            # 融合循环模式:推理使用,流式计算,极低延迟
            g = fused_kda_gate(g=g, A_log=self.A_log, dt_bias=self.dt_bias)
            o, recurrent_state = fused_recurrent_kda(
                q=q,
                k=k,
                v=v,
                g=g,
                beta=beta,
                initial_state=recurrent_state,
                output_final_state=use_cache,
                use_qk_l2norm_in_kernel=True,
                cu_seqlens=cu_seqlens,
            )
        else:
            raise NotImplementedError(f"不支持模式 {mode}")

        # ===================== 更新缓存 =====================
        update_layer_cache(
            self,
            past_key_values,
            recurrent_state=recurrent_state,
            conv_state=(conv_state_q, conv_state_k, conv_state_v) if self.use_short_conv else None,
            offset=q_len,
        )

        # ===================== 输出归一化 + 投影 =====================
        # 门控归一化:稳定数值,提升表达能力
        o = self.o_norm(o, rearrange(self.g_proj(hidden_states), "... (h d) -> ... h d", d=self.head_v_dim))
        # 维度合并:多头拼接
        o = rearrange(o, "b t h d -> b t (h d)")
        # 最终投影:还原输入维度
        o = self.o_proj(o)

        # ===================== 还原 padding =====================
        if attention_mask is not None:
            o = pad_input(o.squeeze(0), indices, batch_size, q_len)

        # 返回:输出特征、注意力权重(None)、缓存
        return o, None, past_key_values

六、KimiDeltaAttention 核心数学公式

KDA 是线性注意力 + 状态空间模型(SSM) 的融合,彻底抛弃 QKTQK^TQKT 矩阵乘法。

1. 状态更新公式(长程记忆核心)

St=St−1⋅A+βt⋅kt⊗gt \boldsymbol{S}t = \boldsymbol{S}{t-1} \cdot \boldsymbol{A} + \beta_t \cdot \boldsymbol{k}_t \otimes \boldsymbol{g}_t St=St−1⋅A+βt⋅kt⊗gt

  • St\boldsymbol{S}_tSt:第 ttt 步隐状态,存储所有历史信息
  • A\boldsymbol{A}A:可学习衰减系数,控制历史信息遗忘速度
  • βt\beta_tβt:缩放门控,筛选当前信息权重
  • kt\boldsymbol{k}_tkt:Key 向量
  • gt\boldsymbol{g}_tgt:状态更新门控

2. 输出计算公式(全局注意力)

Ot=qt⋅St⋅vt \boldsymbol{O}_t = \boldsymbol{q}_t \cdot \boldsymbol{S}_t \cdot \boldsymbol{v}_t Ot=qt⋅St⋅vt

  • 无 Softmax,无 O(N2)O(N^2)O(N2) 计算
  • 直接用当前查询 × 历史状态 × 值得到输出

3. 最终输出门控

Ot=Norm(Ot,Gate(ht)) \boldsymbol{O}_t = \text{Norm}(\boldsymbol{O}_t, \text{Gate}(\boldsymbol{h}_t)) Ot=Norm(Ot,Gate(ht))


七、设计思想:如何提升逻辑+降低复杂度?

1. 降低计算复杂度(革命性优化)

优化点 效果
抛弃 O(N2)O(N^2)O(N2) 矩阵乘法 复杂度从 O(N2)O(N^2)O(N2) → O(N)O(N)O(N)
分块并行训练 训练速度提升 10~100 倍
GVA 分组注意力 参数量↓,计算量↓
CUDA 算子融合 显存读写减少,速度翻倍
状态缓存替代 KV Cache 显存占用↓ 90%

2. 提升模型逻辑表达能力

  1. 短卷积 :先提取局部语法/短语依赖,再建模全局关系
  2. 可学习状态衰减:模型自动学习保留/遗忘历史信息,逻辑更精准
  3. 多层门控:动态过滤噪声,保留关键逻辑信息
  4. 负特征值 :极大提升长程依赖追踪能力
  5. 门控归一化:深层模型不梯度消失,逻辑表达更深

八、完整可运行代码

python 复制代码
# Copyright (c) 2023-2025, Songlin Yang, Yu Zhang

from __future__ import annotations

import math
from typing import TYPE_CHECKING

import torch
import torch.nn as nn
from einops import rearrange, repeat
from torch.nn import functional as F

from fla.layers.utils import get_layer_cache, get_unpad_data, index_first_axis, pad_input, update_layer_cache
from fla.modules import FusedRMSNormGated, ShortConvolution
from fla.ops.kda import chunk_kda, fused_recurrent_kda
from fla.ops.kda.gate import fused_kda_gate

if TYPE_CHECKING:
    from transformers.processing_utils import Unpack

    from fla.models.utils import Cache


class KimiDeltaAttention(nn.Module):
    """
    Kimi Delta Attention (KDA) layer implementation.

    Args:
        hidden_size (int, Optional):
            The hidden size of the input. Default: 2048.
        expand_v (float, Optional):
            The expansion ratio for the value dimension. Default: 1.0.
        head_dim (int, Optional):
            The dimension of each head. Default: 128.
        num_heads (int, Optional):
            The number of heads. Default: 16.
        num_v_heads (int, Optional):
            The number of heads for the value projection, equal to `num_heads` if `None`.
            GVA (Grouped Value Attention) is applied if `num_v_heads` > `num_heads`. Default: `None`.
        mode (str, Optional):
            Which Kimi Delta Attention kernel to use.
            Currently available: `chunk` and `fused_recurrent`.
            Default: `chunk`.
        use_short_conv (bool, Optional):
            Whether to use short convolutions. Default: `True`.
        allow_neg_eigval (bool, Optional):
            Allow negative eigenvalues. Default: `False`. If set to `True`, the beta will be multiplied by 2.
            See reference:
            [Unlocking State-Tracking in Linear RNNs Through Negative Eigenvalues](https://arxiv.org/abs/2411.12537)
        conv_size (int, Optional):
            The kernel size of the short convolution, only used when `use_short_conv` is `True`. Default: 4.
        conv_bias (bool, Optional):
            Whether to use bias in the short convolution, only used when `use_short_conv` is `True`. Default: `False`.
        layer_idx (int, Optional):
            The index of the layer. Default: None.
        norm_eps (float, Optional):
            The epsilon value for the normalization layer. Default: 1e-5.
    """

    def __init__(
        self,
        hidden_size: int = 2048,
        expand_v: float = 1,
        head_dim: int = 128,
        num_heads: int = 16,
        num_v_heads: int = None,
        mode: str = "chunk",
        use_short_conv: bool = True,
        allow_neg_eigval: bool = False,
        conv_size: int = 4,
        conv_bias: bool = False,
        layer_idx: int = None,
        norm_eps: float = 1e-5,
        **kwargs,
    ) -> KimiDeltaAttention:
        super().__init__()

        self.mode = mode
        self.allow_neg_eigval = allow_neg_eigval
        self.hidden_size = hidden_size
        self.expand_v = expand_v

        self.use_short_conv = use_short_conv
        self.conv_size = conv_size
        self.conv_bias = conv_bias

        self.head_dim = head_dim
        self.num_heads = num_heads
        self.num_v_heads = num_v_heads if num_v_heads is not None else num_heads

        self.head_k_dim = head_dim
        self.head_v_dim = int(self.head_dim * self.expand_v)
        self.key_dim = int(self.num_heads * self.head_k_dim)
        self.value_dim = int(self.num_v_heads * self.head_v_dim)
        self.layer_idx = layer_idx

        if not math.isclose(self.num_v_heads * self.head_dim * expand_v, self.value_dim, rel_tol=1e-5):
            raise ValueError(
                f"expand_v={expand_v} does not produce an integer value when multiplied by key_dim={self.key_dim}. "
                f"Resulting value_dim would be {self.num_v_heads * self.head_dim * expand_v}, which is invalid for nn.Linear.",
            )
        if self.num_v_heads > self.num_heads and self.num_v_heads % self.num_heads != 0:
            raise ValueError(
                f"num_v_heads={self.num_v_heads} must be divisible by num_heads={self.num_heads}.",
            )

        if not math.isclose(head_dim * expand_v, self.head_v_dim, rel_tol=1e-5):
            raise ValueError(
                f"expand_v={expand_v} does not produce an integer value when multiplied by head_dim={head_dim}. "
                f"Resulting head_v_dim would be {head_dim * expand_v}, which is invalid for FusedRMSNormGated.",
            )
        assert mode in ["chunk", "fused_recurrent"], f"Not supported mode `{mode}`."

        self.q_proj = nn.Linear(hidden_size, self.key_dim, bias=False)
        self.k_proj = nn.Linear(hidden_size, self.key_dim, bias=False)
        self.v_proj = nn.Linear(hidden_size, self.value_dim, bias=False)

        if use_short_conv:
            self.q_conv1d = ShortConvolution(
                hidden_size=self.key_dim,
                kernel_size=conv_size,
                bias=conv_bias,
                activation="silu",
            )
            self.k_conv1d = ShortConvolution(
                hidden_size=self.key_dim,
                kernel_size=conv_size,
                bias=conv_bias,
                activation="silu",
            )
            self.v_conv1d = ShortConvolution(
                hidden_size=self.value_dim,
                kernel_size=conv_size,
                bias=conv_bias,
                activation="silu",
            )

        self.f_proj = nn.Sequential(
            nn.Linear(hidden_size, self.head_v_dim, bias=False),
            nn.Linear(self.head_v_dim, self.key_dim, bias=False),
        )
        self.b_proj = nn.Linear(hidden_size, self.num_heads, bias=False)

        self.A_log = nn.Parameter(torch.log(torch.empty(self.num_heads, dtype=torch.float32).uniform_(1, 16)))
        self.A_log._no_weight_decay = True
        dt = torch.exp(
            torch.rand(self.key_dim, dtype=torch.float32) * (math.log(0.1) - math.log(0.001)) + math.log(0.001)
        ).clamp(min=1e-4)
        inv_dt = dt + torch.log(-torch.expm1(-dt))
        self.dt_bias = nn.Parameter(inv_dt)
        self.dt_bias._no_weight_decay = True

        self.g_proj = nn.Sequential(
            nn.Linear(hidden_size, self.head_v_dim, bias=False),
            nn.Linear(self.head_v_dim, self.value_dim, bias=True),
        )
        self.o_norm = FusedRMSNormGated(self.head_v_dim, activation="sigmoid", eps=norm_eps)
        self.o_proj = nn.Linear(self.value_dim, hidden_size, bias=False)

    def forward(
        self,
        hidden_states: torch.Tensor,
        attention_mask: torch.Tensor | None = None,
        past_key_values: Cache | None = None,
        use_cache: bool | None = False,
        output_attentions: bool | None = False,
        **kwargs: Unpack[dict],
    ) -> tuple[torch.Tensor, torch.Tensor | None, Cache | None]:
        if attention_mask is not None:
            assert len(attention_mask.shape) == 2, (
                "Expected attention_mask as a 0-1 matrix with shape [batch_size, seq_len] "
                "for padding purposes (0 indicating padding). "
                "Arbitrary attention masks of shape [batch_size, seq_len, seq_len] are not allowed."
            )

        batch_size, q_len, _ = hidden_states.shape
        mode = "fused_recurrent" if (q_len <= 64 and not self.training) else self.mode
        if self.training:
            assert mode == "chunk", "Only chunk mode is supported in training."

        last_state = get_layer_cache(self, past_key_values)

        cu_seqlens = kwargs.get("cu_seqlens")
        if attention_mask is not None:
            indices, cu_seqlens, _ = get_unpad_data(attention_mask[:, -q_len:])
            hidden_states = index_first_axis(rearrange(hidden_states, "b s ... -> (b s) ..."), indices).unsqueeze(0)

        if self.use_short_conv:
            conv_state_q, conv_state_k, conv_state_v = None, None, None
            if last_state is not None:
                conv_state_q, conv_state_k, conv_state_v = last_state["conv_state"]
            q, conv_state_q = self.q_conv1d(
                x=self.q_proj(hidden_states),
                cache=conv_state_q,
                output_final_state=use_cache,
                cu_seqlens=cu_seqlens,
            )
            k, conv_state_k = self.k_conv1d(
                x=self.k_proj(hidden_states),
                cache=conv_state_k,
                output_final_state=use_cache,
                cu_seqlens=cu_seqlens,
            )
            v, conv_state_v = self.v_conv1d(
                x=self.v_proj(hidden_states),
                cache=conv_state_v,
                output_final_state=use_cache,
                cu_seqlens=cu_seqlens,
            )
        else:
            q = F.silu(self.q_proj(hidden_states))
            k = F.silu(self.k_proj(hidden_states))
            v = F.silu(self.v_proj(hidden_states))

        g = self.f_proj(hidden_states)
        beta = self.b_proj(hidden_states).sigmoid()

        q, k, g = (rearrange(x, "... (h d) -> ... h d", d=self.head_k_dim) for x in (q, k, g))
        v = rearrange(v, "... (h d) -> ... h d", d=self.head_v_dim)

        if self.num_v_heads > self.num_heads:
            q, k, g = (repeat(x, "... h d -> ... (h g) d", g=self.num_v_heads // self.num_heads) for x in (q, k, g))
            beta = repeat(beta, "... h -> ... (h g)", g=self.num_v_heads // self.num_heads)

        if self.allow_neg_eigval:
            beta = beta * 2.0

        recurrent_state = last_state["recurrent_state"] if last_state is not None else None
        if mode == "chunk":
            o, recurrent_state = chunk_kda(
                q=q,
                k=k,
                v=v,
                g=g,
                beta=beta,
                A_log=self.A_log,
                dt_bias=self.dt_bias,
                initial_state=recurrent_state,
                output_final_state=use_cache,
                use_qk_l2norm_in_kernel=True,
                use_gate_in_kernel=True,
                cu_seqlens=cu_seqlens,
            )
        elif mode == "fused_recurrent":
            g = fused_kda_gate(g=g, A_log=self.A_log, dt_bias=self.dt_bias)
            o, recurrent_state = fused_recurrent_kda(
                q=q,
                k=k,
                v=v,
                g=g,
                beta=beta,
                initial_state=recurrent_state,
                output_final_state=use_cache,
                use_qk_l2norm_in_kernel=True,
                cu_seqlens=cu_seqlens,
            )
        else:
            raise NotImplementedError(f"Not supported mode `{mode}`.")

        update_layer_cache(
            self,
            past_key_values,
            recurrent_state=recurrent_state,
            conv_state=(conv_state_q, conv_state_k, conv_state_v) if self.use_short_conv else None,
            offset=q_len,
        )

        o = self.o_norm(o, rearrange(self.g_proj(hidden_states), "... (h d) -> ... h d", d=self.head_v_dim))
        o = rearrange(o, "b t h d -> b t (h d)")
        o = self.o_proj(o)
        if attention_mask is not None:
            o = pad_input(o.squeeze(0), indices, batch_size, q_len)

        return o, None, past_key_values

总结

  1. KDA 是下一代注意力标准 :O(N)O(N)O(N) 复杂度,长文本、速度、效果全面领先
  2. 核心设计:短卷积(局部)+ 线性注意力(全局)+ 状态空间(记忆)
  3. 工程优势:算子融合、缓存优化、自动模式切换,训练推理双高效
  4. 适用场景:大模型、长文本、低算力部署、实时推理
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