Update 2 files
Browse files- /mamba.py
- /model.py
mamba.py
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| 1 |
+
"""Simple, minimal implementation of Mamba in one file of PyTorch.
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| 2 |
+
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| 3 |
+
Source: https://github.com/johnma2006/mamba-minimal
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+
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+
Suggest reading the following before/while reading the code:
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| 6 |
+
[1] Mamba: Linear-Time Sequence Modeling with Selective State Spaces (Albert Gu and Tri Dao)
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| 7 |
+
https://arxiv.org/abs/2312.00752
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| 8 |
+
[2] The Annotated S4 (Sasha Rush and Sidd Karamcheti)
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| 9 |
+
https://srush.github.io/annotated-s4
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+
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| 11 |
+
Glossary:
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| 12 |
+
b: batch size (`B` in Mamba paper [1] Algorithm 2)
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| 13 |
+
l: sequence length (`L` in [1] Algorithm 2)
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| 14 |
+
d or d_model: hidden dim
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+
n or d_state: latent state dim (`N` in [1] Algorithm 2)
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+
expand: expansion factor (`E` in [1] Section 3.4)
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| 17 |
+
d_in or d_inner: d * expand (`D` in [1] Algorithm 2)
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| 18 |
+
A, B, C, D: state space parameters (See any state space representation formula)
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| 19 |
+
(B, C are input-dependent (aka selective, a key innovation in Mamba); A, D are not)
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| 20 |
+
Δ or delta: input-dependent step size
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| 21 |
+
dt_rank: rank of Δ (See [1] Section 3.6 "Parameterization of ∆")
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| 22 |
+
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| 23 |
+
"""
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| 24 |
+
from __future__ import annotations
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| 25 |
+
import math
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| 26 |
+
import json
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| 27 |
+
import torch
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| 28 |
+
import torch.nn as nn
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| 29 |
+
import torch.nn.functional as F
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| 30 |
+
from dataclasses import dataclass
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| 31 |
+
from einops import rearrange, repeat, einsum
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| 32 |
+
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| 33 |
+
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| 34 |
+
@dataclass
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| 35 |
+
class ModelArgs:
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| 36 |
+
d_model: int
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| 37 |
+
n_layer: int
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| 38 |
+
vocab_size: int
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| 39 |
+
d_state: int = 16
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| 40 |
+
expand: int = 2
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| 41 |
+
dt_rank: Union[int, str] = 'auto'
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| 42 |
+
d_conv: int = 4
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| 43 |
+
pad_vocab_size_multiple: int = 8
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| 44 |
+
conv_bias: bool = True
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| 45 |
+
bias: bool = False
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| 46 |
+
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| 47 |
+
def __post_init__(self):
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| 48 |
+
self.d_inner = int(self.expand * self.d_model)
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| 49 |
+
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| 50 |
+
if self.dt_rank == 'auto':
|
| 51 |
+
self.dt_rank = math.ceil(self.d_model / 16)
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| 52 |
+
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| 53 |
+
if self.vocab_size % self.pad_vocab_size_multiple != 0:
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| 54 |
+
self.vocab_size += (self.pad_vocab_size_multiple
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| 55 |
+
- self.vocab_size % self.pad_vocab_size_multiple)
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| 56 |
+
|
| 57 |
+
|
| 58 |
+
class Mamba(nn.Module):
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| 59 |
+
def __init__(self, args: ModelArgs):
|
| 60 |
+
"""Full Mamba model."""
|
| 61 |
+
super().__init__()
|
| 62 |
+
self.args = args
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| 63 |
+
|
| 64 |
+
self.embedding = nn.Embedding(args.vocab_size, args.d_model)
|
| 65 |
+
self.layers = nn.ModuleList([ResidualBlock(args) for _ in range(args.n_layer)])
|
| 66 |
+
self.norm_f = RMSNorm(args.d_model)
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| 67 |
+
|
| 68 |
+
self.lm_head = nn.Linear(args.d_model, args.vocab_size, bias=False)
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| 69 |
+
self.lm_head.weight = self.embedding.weight # Tie output projection to embedding weights.
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| 70 |
+
# See "Weight Tying" paper
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| 71 |
+
|
| 72 |
+
|
| 73 |
+
def forward(self, input_ids):
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| 74 |
+
"""
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| 75 |
+
Args:
|
| 76 |
+
input_ids (long tensor): shape (b, l) (See Glossary at top for definitions of b, l, d_in, n...)
|
| 77 |
+
|
| 78 |
+
Returns:
|
| 79 |
+
logits: shape (b, l, vocab_size)
|
| 80 |
+
|
| 81 |
+
Official Implementation:
|
| 82 |
+
class MambaLMHeadModel, https://github.com/state-spaces/mamba/blob/main/mamba_ssm/models/mixer_seq_simple.py#L173
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| 83 |
+
|
| 84 |
+
"""
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| 85 |
+
x = self.embedding(input_ids)
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| 86 |
+
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| 87 |
+
for layer in self.layers:
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| 88 |
+
x = layer(x)
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| 89 |
+
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| 90 |
+
x = self.norm_f(x)
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| 91 |
+
logits = self.lm_head(x)
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| 92 |
+
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| 93 |
+
return logits
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| 94 |
+
|
| 95 |
+
|
| 96 |
+
@staticmethod
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| 97 |
+
def from_pretrained(pretrained_model_name: str):
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| 98 |
+
"""Load pretrained weights from HuggingFace into model.
|
| 99 |
+
|
| 100 |
+
Args:
|
| 101 |
+
pretrained_model_name: One of
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| 102 |
+
* 'state-spaces/mamba-2.8b-slimpj'
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| 103 |
+
* 'state-spaces/mamba-2.8b'
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| 104 |
+
* 'state-spaces/mamba-1.4b'
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| 105 |
+
* 'state-spaces/mamba-790m'
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| 106 |
+
* 'state-spaces/mamba-370m'
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| 107 |
+
* 'state-spaces/mamba-130m'
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| 108 |
+
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| 109 |
+
Returns:
|
| 110 |
+
model: Mamba model with weights loaded
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| 111 |
+
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| 112 |
+
"""
|
| 113 |
+
from transformers.utils import WEIGHTS_NAME, CONFIG_NAME
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| 114 |
+
from transformers.utils.hub import cached_file
|
| 115 |
+
|
| 116 |
+
def load_config_hf(model_name):
|
| 117 |
+
resolved_archive_file = cached_file(model_name, CONFIG_NAME,
|
| 118 |
+
_raise_exceptions_for_missing_entries=False)
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| 119 |
+
return json.load(open(resolved_archive_file))
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| 120 |
+
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| 121 |
+
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| 122 |
+
def load_state_dict_hf(model_name, device=None, dtype=None):
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| 123 |
+
resolved_archive_file = cached_file(model_name, WEIGHTS_NAME,
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| 124 |
+
_raise_exceptions_for_missing_entries=False)
|
| 125 |
+
return torch.load(resolved_archive_file, weights_only=True, map_location='cpu', mmap=True)
|
| 126 |
+
|
| 127 |
+
config_data = load_config_hf(pretrained_model_name)
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| 128 |
+
args = ModelArgs(
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| 129 |
+
d_model=config_data['d_model'],
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| 130 |
+
n_layer=config_data['n_layer'],
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| 131 |
+
vocab_size=config_data['vocab_size']
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| 132 |
+
)
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| 133 |
+
model = Mamba(args)
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| 134 |
+
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| 135 |
+
state_dict = load_state_dict_hf(pretrained_model_name)
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| 136 |
+
new_state_dict = {}
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| 137 |
+
for key in state_dict:
|
| 138 |
+
new_key = key.replace('backbone.', '')
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| 139 |
+
new_state_dict[new_key] = state_dict[key]
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| 140 |
+
model.load_state_dict(new_state_dict)
|
| 141 |
+
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| 142 |
+
return model
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| 143 |
+
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| 144 |
+
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| 145 |
+
class ResidualBlock(nn.Module):
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| 146 |
+
def __init__(self, args: ModelArgs):
|
| 147 |
+
"""Simple block wrapping Mamba block with normalization and residual connection."""
|
| 148 |
+
super().__init__()
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| 149 |
+
self.args = args
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| 150 |
+
self.mixer = MambaBlock(args)
|
| 151 |
+
self.norm = RMSNorm(args.d_model)
|
| 152 |
+
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| 153 |
+
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| 154 |
+
def forward(self, x):
|
| 155 |
+
"""
|
| 156 |
+
Args:
|
| 157 |
+
x: shape (b, l, d) (See Glossary at top for definitions of b, l, d_in, n...)
|
| 158 |
+
|
| 159 |
+
Returns:
|
| 160 |
+
output: shape (b, l, d)
|
| 161 |
+
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| 162 |
+
Official Implementation:
|
| 163 |
+
Block.forward(), https://github.com/state-spaces/mamba/blob/main/mamba_ssm/modules/mamba_simple.py#L297
|
| 164 |
+
|
| 165 |
+
Note: the official repo chains residual blocks that look like
|
| 166 |
+
[Add -> Norm -> Mamba] -> [Add -> Norm -> Mamba] -> [Add -> Norm -> Mamba] -> ...
|
| 167 |
+
where the first Add is a no-op. This is purely for performance reasons as this
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| 168 |
+
allows them to fuse the Add->Norm.
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| 169 |
+
|
| 170 |
+
We instead implement our blocks as the more familiar, simpler, and numerically equivalent
|
| 171 |
+
[Norm -> Mamba -> Add] -> [Norm -> Mamba -> Add] -> [Norm -> Mamba -> Add] -> ....
|
| 172 |
+
|
| 173 |
+
"""
|
| 174 |
+
output = self.mixer(self.norm(x)) + x
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| 175 |
+
|
| 176 |
+
return output
|
| 177 |
+
|
| 178 |
+
|
| 179 |
+
class MambaBlock(nn.Module):
|
| 180 |
+
def __init__(self, args: ModelArgs):
|
| 181 |
+
"""A single Mamba block, as described in Figure 3 in Section 3.4 in the Mamba paper [1]."""
|
| 182 |
+
super().__init__()
|
| 183 |
+
self.args = args
|
| 184 |
+
|
| 185 |
+
self.in_proj = nn.Linear(args.d_model, args.d_inner * 2, bias=args.bias)
|
| 186 |
+
|
| 187 |
+
self.conv1d = nn.Conv1d(
|
| 188 |
+
in_channels=args.d_inner,
|
| 189 |
+
out_channels=args.d_inner,
|
| 190 |
+
bias=args.conv_bias,
|
| 191 |
+
kernel_size=args.d_conv,
|
| 192 |
+
groups=args.d_inner,
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| 193 |
+
padding=args.d_conv - 1,
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| 194 |
+
)
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| 195 |
+
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| 196 |
+
# x_proj takes in `x` and outputs the input-specific Δ, B, C
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| 197 |
+
self.x_proj = nn.Linear(args.d_inner, args.dt_rank + args.d_state * 2, bias=False)
|
| 198 |
+
|
| 199 |
+
# dt_proj projects Δ from dt_rank to d_in
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| 200 |
+
self.dt_proj = nn.Linear(args.dt_rank, args.d_inner, bias=True)
|
| 201 |
+
|
| 202 |
+
A = repeat(torch.arange(1, args.d_state + 1), 'n -> d n', d=args.d_inner)
|
| 203 |
+
self.A_log = nn.Parameter(torch.log(A))
|
| 204 |
+
self.D = nn.Parameter(torch.ones(args.d_inner))
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| 205 |
+
self.out_proj = nn.Linear(args.d_inner, args.d_model, bias=args.bias)
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| 206 |
+
|
| 207 |
+
|
| 208 |
+
def forward(self, x):
|
| 209 |
+
"""Mamba block forward. This looks the same as Figure 3 in Section 3.4 in the Mamba paper [1].
|
| 210 |
+
|
| 211 |
+
Args:
|
| 212 |
+
x: shape (b, l, d) (See Glossary at top for definitions of b, l, d_in, n...)
|
| 213 |
+
|
| 214 |
+
Returns:
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| 215 |
+
output: shape (b, l, d)
|
| 216 |
+
|
| 217 |
+
Official Implementation:
|
| 218 |
+
class Mamba, https://github.com/state-spaces/mamba/blob/main/mamba_ssm/modules/mamba_simple.py#L119
|
| 219 |
+
mamba_inner_ref(), https://github.com/state-spaces/mamba/blob/main/mamba_ssm/ops/selective_scan_interface.py#L311
|
| 220 |
+
|
| 221 |
+
"""
|
| 222 |
+
(b, l, d) = x.shape
|
| 223 |
+
|
| 224 |
+
x_and_res = self.in_proj(x) # shape (b, l, 2 * d_in)
|
| 225 |
+
(x, res) = x_and_res.split(split_size=[self.args.d_inner, self.args.d_inner], dim=-1)
|
| 226 |
+
|
| 227 |
+
x = rearrange(x, 'b l d_in -> b d_in l')
|
| 228 |
+
x = self.conv1d(x)[:, :, :l]
|
| 229 |
+
x = rearrange(x, 'b d_in l -> b l d_in')
|
| 230 |
+
|
| 231 |
+
x = F.silu(x)
|
| 232 |
+
|
| 233 |
+
y = self.ssm(x)
|
| 234 |
+
|
| 235 |
+
y = y * F.silu(res)
|
| 236 |
+
|
| 237 |
+
output = self.out_proj(y)
|
| 238 |
+
|
| 239 |
+
return output
|
| 240 |
+
|
| 241 |
+
|
| 242 |
+
def ssm(self, x):
|
| 243 |
+
"""Runs the SSM. See:
|
| 244 |
+
- Algorithm 2 in Section 3.2 in the Mamba paper [1]
|
| 245 |
+
- run_SSM(A, B, C, u) in The Annotated S4 [2]
|
| 246 |
+
|
| 247 |
+
Args:
|
| 248 |
+
x: shape (b, l, d_in) (See Glossary at top for definitions of b, l, d_in, n...)
|
| 249 |
+
|
| 250 |
+
Returns:
|
| 251 |
+
output: shape (b, l, d_in)
|
| 252 |
+
|
| 253 |
+
Official Implementation:
|
| 254 |
+
mamba_inner_ref(), https://github.com/state-spaces/mamba/blob/main/mamba_ssm/ops/selective_scan_interface.py#L311
|
| 255 |
+
|
| 256 |
+
"""
|
| 257 |
+
(d_in, n) = self.A_log.shape
|
| 258 |
+
|
| 259 |
+
# Compute ∆ A B C D, the state space parameters.
|
| 260 |
+
# A, D are input independent (see Mamba paper [1] Section 3.5.2 "Interpretation of A" for why A isn't selective)
|
| 261 |
+
# ∆, B, C are input-dependent (this is a key difference between Mamba and the linear time invariant S4,
|
| 262 |
+
# and is why Mamba is called **selective** state spaces)
|
| 263 |
+
|
| 264 |
+
A = -torch.exp(self.A_log.float()) # shape (d_in, n)
|
| 265 |
+
D = self.D.float()
|
| 266 |
+
|
| 267 |
+
x_dbl = self.x_proj(x) # (b, l, dt_rank + 2*n)
|
| 268 |
+
|
| 269 |
+
(delta, B, C) = x_dbl.split(split_size=[self.args.dt_rank, n, n], dim=-1) # delta: (b, l, dt_rank). B, C: (b, l, n)
|
| 270 |
+
delta = F.softplus(self.dt_proj(delta)) # (b, l, d_in)
|
| 271 |
+
|
| 272 |
+
y = self.selective_scan(x, delta, A, B, C, D) # This is similar to run_SSM(A, B, C, u) in The Annotated S4 [2]
|
| 273 |
+
|
| 274 |
+
return y
|
| 275 |
+
|
| 276 |
+
|
| 277 |
+
def selective_scan(self, u, delta, A, B, C, D):
|
| 278 |
+
"""Does selective scan algorithm. See:
|
| 279 |
+
- Section 2 State Space Models in the Mamba paper [1]
|
| 280 |
+
- Algorithm 2 in Section 3.2 in the Mamba paper [1]
|
| 281 |
+
- run_SSM(A, B, C, u) in The Annotated S4 [2]
|
| 282 |
+
|
| 283 |
+
This is the classic discrete state space formula:
|
| 284 |
+
x(t + 1) = Ax(t) + Bu(t)
|
| 285 |
+
y(t) = Cx(t) + Du(t)
|
| 286 |
+
except B and C (and the step size delta, which is used for discretization) are dependent on the input x(t).
|
| 287 |
+
|
| 288 |
+
Args:
|
| 289 |
+
u: shape (b, l, d_in) (See Glossary at top for definitions of b, l, d_in, n...)
|
| 290 |
+
delta: shape (b, l, d_in)
|
| 291 |
+
A: shape (d_in, n)
|
| 292 |
+
B: shape (b, l, n)
|
| 293 |
+
C: shape (b, l, n)
|
| 294 |
+
D: shape (d_in,)
|
| 295 |
+
|
| 296 |
+
Returns:
|
| 297 |
+
output: shape (b, l, d_in)
|
| 298 |
+
|
| 299 |
+
Official Implementation:
|
| 300 |
+
selective_scan_ref(), https://github.com/state-spaces/mamba/blob/main/mamba_ssm/ops/selective_scan_interface.py#L86
|
| 301 |
+
Note: I refactored some parts out of `selective_scan_ref` out, so the functionality doesn't match exactly.
|
| 302 |
+
|
| 303 |
+
"""
|
| 304 |
+
(b, l, d_in) = u.shape
|
| 305 |
+
n = A.shape[1]
|
| 306 |
+
|
| 307 |
+
# Discretize continuous parameters (A, B)
|
| 308 |
+
# - A is discretized using zero-order hold (ZOH) discretization (see Section 2 Equation 4 in the Mamba paper [1])
|
| 309 |
+
# - B is discretized using a simplified Euler discretization instead of ZOH. From a discussion with authors:
|
| 310 |
+
# "A is the more important term and the performance doesn't change much with the simplification on B"
|
| 311 |
+
deltaA = torch.exp(einsum(delta, A, 'b l d_in, d_in n -> b l d_in n'))
|
| 312 |
+
deltaB_u = einsum(delta, B, u, 'b l d_in, b l n, b l d_in -> b l d_in n')
|
| 313 |
+
|
| 314 |
+
# Perform selective scan (see scan_SSM() in The Annotated S4 [2])
|
| 315 |
+
# Note that the below is sequential, while the official implementation does a much faster parallel scan that
|
| 316 |
+
# is additionally hardware-aware (like FlashAttention).
|
| 317 |
+
x = torch.zeros((b, d_in, n), device=deltaA.device)
|
| 318 |
+
ys = []
|
| 319 |
+
for i in range(l):
|
| 320 |
+
x = deltaA[:, i] * x + deltaB_u[:, i]
|
| 321 |
+
y = einsum(x, C[:, i, :], 'b d_in n, b n -> b d_in')
|
| 322 |
+
ys.append(y)
|
| 323 |
+
y = torch.stack(ys, dim=1) # shape (b, l, d_in)
|
| 324 |
+
|
| 325 |
+
y = y + u * D
|
| 326 |
+
|
| 327 |
+
return y
|
| 328 |
+
|
| 329 |
+
|
| 330 |
+
class RMSNorm(nn.Module):
|
| 331 |
+
def __init__(self,
|
| 332 |
+
d_model: int,
|
| 333 |
+
eps: float = 1e-5):
|
| 334 |
+
super().__init__()
|
| 335 |
+
self.eps = eps
|
| 336 |
+
self.weight = nn.Parameter(torch.ones(d_model))
|
| 337 |
+
|
| 338 |
+
|
| 339 |
+
def forward(self, x):
|
| 340 |
+
output = x * torch.rsqrt(x.pow(2).mean(-1, keepdim=True) + self.eps) * self.weight
|
| 341 |
+
|
| 342 |
+
return output
|
| 343 |
+
|
model.py
CHANGED
|
@@ -1,5 +1,8 @@
|
|
| 1 |
-
from mamba_ssm.models.mixer_seq_simple import MambaLMHeadModel
|
| 2 |
-
from mamba_ssm.models.config_mamba import MambaConfig
|
|
|
|
|
|
|
|
|
|
| 3 |
|
| 4 |
import torch
|
| 5 |
|
|
@@ -10,7 +13,8 @@ class Model:
|
|
| 10 |
def __init__(self, config: Config):
|
| 11 |
self.__dict__ = dict(config.__dict__)
|
| 12 |
|
| 13 |
-
self.model = MambaLMHeadModel(MambaConfig(**self.params.__dict__)).to(GetDevice())
|
|
|
|
| 14 |
self.log()
|
| 15 |
|
| 16 |
|
|
|
|
| 1 |
+
#from mamba_ssm.models.mixer_seq_simple import MambaLMHeadModel
|
| 2 |
+
#from mamba_ssm.models.config_mamba import MambaConfig
|
| 3 |
+
|
| 4 |
+
from mamba import Mamba, ModelConfig
|
| 5 |
+
|
| 6 |
|
| 7 |
import torch
|
| 8 |
|
|
|
|
| 13 |
def __init__(self, config: Config):
|
| 14 |
self.__dict__ = dict(config.__dict__)
|
| 15 |
|
| 16 |
+
#self.model = MambaLMHeadModel(MambaConfig(**self.params.__dict__)).to(GetDevice())
|
| 17 |
+
self.model = Mamba(ModelConfig(**self.params.__dict__)).to(GetDevice())
|
| 18 |
self.log()
|
| 19 |
|
| 20 |
|