# Copyright (c) 2026, NVIDIA CORPORATION. All rights reserved. # # NVIDIA CORPORATION and its licensors retain all intellectual property # and proprietary rights in and to this software, related documentation # and any modifications thereto. Any use, reproduction, disclosure or # distribution of this software and related documentation without an express # license agreement from NVIDIA CORPORATION is strictly prohibited. r""" GDN-2 (Gated DeltaNet 2) token-mixing layer. This module defines `GatedDeltaNet2`, the `nn.Module` that wraps the GDN-2 recurrence into a drop-in token mixer for a Transformer-style block. It handles projections, short convolutions, gate construction, kernel dispatch, caching for incremental decoding, and the gated output normalization. The recurrence itself is implemented by the Triton kernels in `gdn2_ops`; this layer only prepares their inputs and consumes their outputs. Two kernels are dispatched between automatically: the chunkwise kernel `chunk_gdn2` for training and long sequences, and the token-by-token `fused_recurrent_gdn2` for short-sequence decoding. GDN-2 replaces the scalar write-strength gate of the gated delta rule with two independent channel-wise gates: an erase gate `b` on the key axis and a write gate `w` on the value axis. See the kernel modules for the recurrence itself. """ from __future__ import annotations import math from typing import TYPE_CHECKING, Literal 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 FusedRMSNormSwishGate, ShortConvolution from fla.ops.gdn2 import chunk_gdn2 from fla.ops.gdn2 import fused_recurrent_gdn2 if TYPE_CHECKING: from transformers.processing_utils import Unpack from fla.models.utils import Cache class GatedDeltaNet2(nn.Module): """ Gated DeltaNet 2 (GDN-2) layer implementation. GDN-2 extends KDA's scalar-beta erase gate to channel-wise erase and write gates: S_t = (I - k_t (b_t ⊙ k_t)^T) Diag(exp(g_t)) S_{t-1} + k_t (w_t ⊙ v_t)^T Here b_t ∈ R^{d_k} is the channel-wise erase gate (replacing KDA's scalar beta_t) and w_t ∈ R^{d_v} is the channel-wise write gate (new in GDN-2). Setting b_t = beta_t · 1 and w_t = beta_t · 1 recovers KDA exactly. 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 GDN-2 kernel to use. Available: `chunk` (training + long inference) and `fused_recurrent` (token-by-token decode, inference only). The layer automatically falls back to `fused_recurrent` for short inference sequences (q_len <= 64); otherwise `self.mode` is used. 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 erase gate `b` 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: Literal["chunk", "fused_recurrent"] = "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, ) -> GatedDeltaNet2: 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 # Consistency check: Ensure expand_v produces integer values 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 FusedRMSNormSwishGate.", ) assert mode in ["chunk", "fused_recurrent"], f"Not supported mode `{mode}`." # Query / key / value projections. 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) # Optional depthwise short convolutions on q, k, v. These give the # model a small local receptive field before the recurrence and are # standard in the gated delta rule family. 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", ) # Decay-gate projection. Produces the pre-activation that, combined # with A_log and dt_bias below, yields the channel-wise log-decay g. 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), ) # GDN-2 channel-wise gates. b_proj produces the erase gate on the key # axis; w_proj produces the write gate on the value axis. Together # they replace the single scalar write-strength gate of KDA. self.b_proj = nn.Linear(hidden_size, self.key_dim, bias=False) self.w_proj = nn.Linear(hidden_size, self.value_dim, bias=False) # Decay-gate parameters. A_log is a per-head log-rate; dt_bias is a # per-channel bias initialized so the softplus step-size starts in a # small range. Both are excluded from weight decay. 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 # Output path: SiLU-gated RMS norm followed by the output projection. 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 = FusedRMSNormSwishGate(self.head_v_dim, eps=norm_eps) self.o_proj = nn.Linear(self.value_dim, hidden_size, bias=False) self.apply(self._initialize_weights) def _initialize_weights(self, module: nn.Module): """Xavier-uniform init for all linear layers, applied via `self.apply`. The `_is_hf_initialized` guard makes this idempotent so that weights loaded by HuggingFace `from_pretrained` are not overwritten. """ if getattr(module, "_is_hf_initialized", False): return if isinstance(module, nn.Linear): nn.init.xavier_uniform_(module.weight, gain=2 ** -2.5) if module.bias is not None: nn.init.zeros_(module.bias) module._is_hf_initialized = True 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]: """Run the GDN-2 token mixer. Projects the input to q/k/v and the three gates, dispatches to the chunkwise or recurrent kernel, updates the incremental-decoding cache, and applies the gated output normalization and projection. Args: hidden_states: input of shape `[B, T, hidden_size]`. attention_mask: optional `[B, T]` 0/1 padding mask. When given, the batch is unpadded into a single packed sequence and repadded on the way out. past_key_values: optional cache holding the recurrent state and short-convolution state from previous steps. use_cache: whether to write the updated state back into the cache. output_attentions: unused; kept for interface compatibility. Returns: A tuple `(o, None, past_key_values)` where `o` has shape `[B, T, hidden_size]`. The second element is always `None` (GDN-2 has no attention map to return). """ 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 # Short non-training sequences use the lower-latency recurrent kernel; # training and long sequences use the chunkwise kernel. 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)) # Channel-wise log-decay, computed in fp32 for numerical stability of # the downstream cumulative sum. A_log is per-head and broadcast over # the head's key channels; dt_bias is per-channel. g = ( -self.A_log.float().exp().repeat_interleave(self.head_k_dim) * F.softplus(self.f_proj(hidden_states).float() + self.dt_bias) ) # GDN-2 gates, both squashed to [0, 1] by a sigmoid. b is the # channel-wise erase gate (key axis); w is the channel-wise write # gate (value axis). b = self.b_proj(hidden_states).sigmoid() w = self.w_proj(hidden_states).sigmoid() # Split the flat projection outputs into per-head tensors. Key-side # tensors (q, k, g, b) use head_k_dim; value-side (v, w) use head_v_dim. 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) b = rearrange(b, "... (h d) -> ... h d", d=self.head_k_dim) w = rearrange(w, "... (h d) -> ... h d", d=self.head_v_dim) # Grouped value attention: when there are more value heads than key # heads, replicate the key-side tensors across each value-head group. if self.num_v_heads > self.num_heads: q, k, g, b = ( repeat(x, "... h d -> ... (h g) d", g=self.num_v_heads // self.num_heads) for x in (q, k, g, b) ) # Optionally lift the erase gate from [0, 1] into [0, 2], which allows # negative eigenvalues in the state transition (extra state-tracking # capacity). The write gate w is left in [0, 1]. if self.allow_neg_eigval: b = b * 2.0 recurrent_state = last_state["recurrent_state"] if last_state is not None else None if mode == "chunk": o, recurrent_state = chunk_gdn2( q=q, k=k, v=v, g=g, b=b, w=w, 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=False, cu_seqlens=cu_seqlens, ) elif mode == "fused_recurrent": o, recurrent_state = fused_recurrent_gdn2( q=q, k=k, v=v, g=g, b=b, w=w, 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=False, cu_seqlens=cu_seqlens, ) else: raise NotImplementedError(f"Not supported mode `{mode}`.") # Persist the recurrent state and short-conv state for the next # incremental-decoding step. 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, ) # SiLU-gated RMS norm on the recurrent output, then project back to # the model dimension. Repad if the input batch was unpadded above. 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