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""" |
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Gemma model implementation from big_vision/models/ppp/gemma.py (with small modifications for NNX compatibility) |
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Used for FAST autoregressive policies. |
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""" |
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import dataclasses |
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from typing import Literal, TypeAlias |
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import einops |
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import flax.linen as nn |
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import jax |
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import jax.numpy as jnp |
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import ml_collections |
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import openpi.models.lora as lora |
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import openpi.shared.array_typing as at |
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Variant = Literal["gemma_2b", "gemma_2b_lora"] |
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def get_config(variant): |
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"""Returns config for specified gemma variant.""" |
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if variant == "gemma_2b": |
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return ml_collections.ConfigDict( |
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{ |
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"variant": variant, |
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"width": 2048, |
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"depth": 18, |
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"mlp_dim": 16_384, |
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"num_heads": 8, |
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"num_kv_heads": 1, |
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"head_dim": 256, |
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"norm_eps": 1e-6, |
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"vocab_size": 257_152, |
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"scan": True, |
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"remat_policy": "nothing_saveable", |
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} |
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) |
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if variant == "gemma_2b_lora": |
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return ml_collections.ConfigDict( |
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{ |
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"variant": variant, |
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"width": 2048, |
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"depth": 18, |
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"mlp_dim": 16_384, |
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"num_heads": 8, |
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"num_kv_heads": 1, |
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"head_dim": 256, |
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"norm_eps": 1e-6, |
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"vocab_size": 257_152, |
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"scan": True, |
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"remat_policy": "nothing_saveable", |
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"lora_configs": { |
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"attn": lora.LoRAConfig(rank=16, alpha=16.0), |
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"ffn": lora.LoRAConfig(rank=16, alpha=16.0), |
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}, |
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} |
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) |
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raise ValueError(f"Unknown variant: {variant}") |
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@at.typecheck |
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class Einsum(nn.Module): |
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shape: tuple[int, ...] |
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@nn.compact |
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def __call__(self, eqn, x): |
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dtype = x.dtype |
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w = self.param("w", nn.initializers.zeros_init(), self.shape).astype(dtype) |
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return jnp.einsum(eqn, x, w) |
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@at.typecheck |
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class RMSNorm(nn.Module): |
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@nn.compact |
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def __call__(self, x): |
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dtype = x.dtype |
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scale = self.param("scale", nn.initializers.zeros_init(), (x.shape[-1])) |
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var = jnp.mean(jnp.square(x.astype(jnp.float32)), axis=-1, keepdims=True) |
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normed_inputs = jnp.asarray(x * jnp.reciprocal(jnp.sqrt(var + 1e-06))) |
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normed_inputs = normed_inputs * ( |
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1 + scale |
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) |
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return normed_inputs.astype(dtype) |
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@at.typecheck |
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class Embedder(nn.Module): |
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"""Embedder module.""" |
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vocab_size: int |
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embed_dim: int |
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def setup(self): |
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self.input_embedding_table = self.param( |
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"input_embedding", |
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nn.initializers.zeros_init(), |
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(self.vocab_size, self.embed_dim), |
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) |
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def encode(self, x): |
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x = self.input_embedding_table[(x,)] |
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x *= jnp.sqrt(self.embed_dim).astype(x.dtype) |
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return x |
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def decode(self, x): |
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return jnp.dot(x, self.input_embedding_table.T) |
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@at.typecheck |
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class Attention(nn.Module): |
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"""Attention module.""" |
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num_heads: int |
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num_kv_heads: int |
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features: int |
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head_dim: int |
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cache_dtype: str | None = None |
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lora_config: lora.LoRAConfig | None = None |
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def setup(self): |
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if self.num_kv_heads == self.num_heads: |
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self.qkv_einsum = lora.Einsum( |
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shape=(3, self.num_heads, self.features, self.head_dim), |
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name="qkv_einsum", |
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init_fn=nn.initializers.lecun_normal(in_axis=-2, out_axis=-1, batch_axis=(0, 1)), |
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lora_config=self.lora_config, |
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) |
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else: |
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self.q_einsum = lora.Einsum( |
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shape=(self.num_heads, self.features, self.head_dim), |
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name="q_einsum", |
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init_fn=nn.initializers.lecun_normal(in_axis=-2, out_axis=-1, batch_axis=(0,)), |
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lora_config=self.lora_config, |
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) |
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self.kv_einsum = lora.Einsum( |
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shape=(2, self.num_kv_heads, self.features, self.head_dim), |
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name="kv_einsum", |
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init_fn=nn.initializers.lecun_normal(in_axis=-2, out_axis=-1, batch_axis=(0, 1)), |
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lora_config=self.lora_config, |
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) |
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self.attn_vec_einsum = lora.Einsum( |
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shape=(self.num_heads, self.head_dim, self.features), |
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name="attn_vec_einsum", |
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init_fn=nn.initializers.lecun_normal(in_axis=-2, out_axis=-1, batch_axis=(0,)), |
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lora_config=self.lora_config, |
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) |
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def _init_cache(self, k, v, cache_size): |
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"""Initialize KV cache""" |
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prefill_len = k.shape[1] |
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pad_width = ((0, 0), (0, cache_size - prefill_len), (0, 0), (0, 0)) |
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cache_dtype = self.cache_dtype or k.dtype |
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k_cache = jnp.pad(k.astype(cache_dtype), pad_width) |
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v_cache = jnp.pad(v.astype(cache_dtype), pad_width) |
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idx = jnp.zeros((k.shape[0],), dtype=jnp.int32) + prefill_len |
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return idx, k_cache, v_cache |
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def _update_cache(self, k, v, idx, k_cache, v_cache): |
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|
"""Update KV cache with new values""" |
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|
assert k.shape[1] == 1, "Only support kv-cache updates of length 1" |
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|
indices = (0, idx[0], 0, 0) |
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cache_dtype = self.cache_dtype or k.dtype |
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|
k_new = jax.lax.dynamic_update_slice(k_cache, k.astype(cache_dtype), indices) |
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|
v_new = jax.lax.dynamic_update_slice(v_cache, v.astype(cache_dtype), indices) |
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|
idx_new = idx + 1 |
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|
return idx_new, k_new, v_new |
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@nn.compact |
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|
def __call__(self, x, positions, attn_mask, kv_cache, decode, deterministic=True): |
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|
dtype = x.dtype |
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|
if self.num_kv_heads == self.num_heads: |
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|
q, k, v = self.qkv_einsum("BSD,3KDH->3BSKH", x) |
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|
else: |
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|
q = self.q_einsum("BTD,NDH->BTNH", x) |
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|
k, v = self.kv_einsum("BSD,2KDH->2BSKH", x) |
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|
q = _apply_rope(q, positions=positions) |
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|
q *= self.head_dim**-0.5 |
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|
k = _apply_rope(k, positions=positions) |
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|
if kv_cache is None: |
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|
idx, k_cache, v_cache = self._init_cache(k, v, attn_mask.shape[-1]) |
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|
else: |
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|
idx, k_cache, v_cache = kv_cache |
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|
idx, k_cache, v_cache = self._update_cache(k, v, idx, k_cache, v_cache) |
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|
k, v = k_cache, v_cache |
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|
kv_cache = (idx, k_cache, v_cache) |
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|
q = einops.rearrange(q, "B T (K G) H -> B T K G H", K=self.num_kv_heads) |
|
|
logits = jnp.einsum("BTKGH,BSKH->BKGTS", q, k, preferred_element_type=jnp.float32) |
|
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|
|
if attn_mask.shape != (q.shape[0], 1, q.shape[1], k.shape[1]): |
|
|
raise ValueError( |
|
|
f"Attention mask with shape {attn_mask.shape} but shapes for q and k are: {q.shape} and {k.shape}" |
|
|
) |
|
|
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|
|
big_neg = -2.3819763e38 |
|
|
masked_logits = jnp.where(attn_mask[:, :, None, :, :], logits, big_neg) |
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|
|
probs = jax.nn.softmax(masked_logits, axis=-1).astype(dtype) |
|
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|
encoded = jnp.einsum("BKGTS,BSKH->BTKGH", probs, v) |
|
|
encoded = einops.rearrange(encoded, "B T K G H -> B T (K G) H") |
|
|
return self.attn_vec_einsum("BTNH,NHD->BTD", encoded), kv_cache |
|
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|
|
|
@at.typecheck |
|
|
class Block(nn.Module): |
|
|
"""Transformer block.""" |
|
|
|
|
|
num_heads: int |
|
|
num_kv_heads: int |
|
|
embed_dim: int |
|
|
head_dim: int |
|
|
hidden_dim: int |
|
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|
|
|
dropout: float = 0.0 |
|
|
dropout_bdims: tuple[int, ...] = () |
|
|
cache_dtype: str | None = None |
|
|
lora_configs: ml_collections.ConfigDict = dataclasses.field(default_factory=ml_collections.ConfigDict) |
|
|
|
|
|
def setup(self): |
|
|
self.pre_attention_norm = RMSNorm() |
|
|
self.attn = Attention( |
|
|
num_heads=self.num_heads, |
|
|
num_kv_heads=self.num_kv_heads, |
|
|
features=self.embed_dim, |
|
|
head_dim=self.head_dim, |
|
|
cache_dtype=self.cache_dtype, |
|
|
lora_config=self.lora_configs.get("attn"), |
|
|
) |
|
|
self.pre_ffw_norm = RMSNorm() |
|
|
self.mlp = lora.FeedForward( |
|
|
features=self.embed_dim, hidden_dim=self.hidden_dim, name="mlp", lora_config=self.lora_configs.get("ffn") |
|
|
) |
|
|
if self.dropout: |
|
|
self.drop = nn.Dropout(self.dropout, self.dropout_bdims) |
|
|
else: |
|
|
self.drop = lambda x, _: x |
|
|
|
|
|
def __call__(self, x, kv_cache, positions, attn_mask, decode, deterministic=True): |
|
|
x = nn.with_logical_constraint(x, ("act_batch", "act_len", "act_emb")) |
|
|
inputs_normalized = self.pre_attention_norm(x) |
|
|
attn_output, kv_cache = self.attn(inputs_normalized, positions, attn_mask, kv_cache, decode, deterministic) |
|
|
attn_output = self.drop(attn_output, deterministic) |
|
|
attn_output += x |
|
|
residual = attn_output |
|
|
attn_output = self.pre_ffw_norm(attn_output) |
|
|
outputs = self.mlp(attn_output) |
|
|
outputs = self.drop(outputs, deterministic) |
|
|
outputs = residual + outputs |
|
|
return outputs, kv_cache |
|
|
|
|
|
|
|
|
KVCache: TypeAlias = tuple[at.Int[at.Array, " b"], at.Float[at.Array, "b _t _k _h"], at.Float[at.Array, "b _t _v _h"]] |
|
|
|
|
|
|
|
|
@at.typecheck |
|
|
class Module(nn.Module): |
|
|
"""gemma model.""" |
|
|
|
|
|
variant: str |
|
|
|
|
|
width: int |
|
|
depth: int |
|
|
mlp_dim: int |
|
|
num_heads: int |
|
|
num_kv_heads: int |
|
|
head_dim: int |
|
|
norm_eps: float |
|
|
vocab_size: int |
|
|
embed_dtype: str |
|
|
|
|
|
dropout: float = 0.0 |
|
|
dropout_bdims: tuple[int, ...] = () |
|
|
cache_dtype: str | None = None |
|
|
|
|
|
scan: bool = False |
|
|
remat_policy: str = "none" |
|
|
lora_configs: ml_collections.ConfigDict = dataclasses.field(default_factory=ml_collections.ConfigDict) |
|
|
|
|
|
@nn.compact |
|
|
def __call__( |
|
|
self, |
|
|
tokens=None, |
|
|
embedded_prefix=None, |
|
|
embed_only=False, |
|
|
pre_logits=None, |
|
|
positions=None, |
|
|
mask=None, |
|
|
decode=False, |
|
|
kv_cache=None, |
|
|
deterministic=True, |
|
|
return_prelogits=False, |
|
|
): |
|
|
"""Embed only, or complete forward pass. |
|
|
|
|
|
Args: |
|
|
tokens: Embedded, then and appended to `embedded_prefix`. Can be None. |
|
|
embedded_prefix: Optional prefix that is already embedded. |
|
|
embed_only: Whether to compute embeddings only. |
|
|
pre_logits: If present computes logits from pre_logits and returns. |
|
|
positions: Optional `[B, T]` allows to specify the absolute position of |
|
|
the tokens. |
|
|
mask: Optional attention mask `[B, T, S]`. |
|
|
decode: Whether to use kv-cache. Caller must pass masks and positions. |
|
|
deterministic: Forwarded to all dropout layers. |
|
|
return_prelogits: Whether to return the pre-logits. |
|
|
|
|
|
Returns: |
|
|
If `embed_only=False`, then `(logits, out)` will be returned. |
|
|
If `embed_only=True`, then the embeddings will be returned. |
|
|
If `return_prelogits=True`, then the pre-logits will be returned. |
|
|
""" |
|
|
out = {} |
|
|
|
|
|
embedder = Embedder(vocab_size=self.vocab_size, embed_dim=self.width, name="embedder") |
|
|
|
|
|
if pre_logits is not None: |
|
|
x = out["pre_logits"] = pre_logits |
|
|
logits = out["logits"] = embedder.decode(x) |
|
|
return logits, out |
|
|
|
|
|
x = [] |
|
|
if embedded_prefix is not None: |
|
|
x.append(embedded_prefix) |
|
|
if tokens is not None: |
|
|
x.append(embedder.encode(tokens)) |
|
|
|
|
|
x = jnp.concatenate(x, axis=-2) |
|
|
x = x.astype(self.embed_dtype) |
|
|
batch_size, seq_len, width = x.shape |
|
|
|
|
|
if embed_only: |
|
|
return x |
|
|
|
|
|
if decode: |
|
|
assert positions is not None and mask is not None, ( |
|
|
"Must explicitly pass positions and mask for decoding." |
|
|
) |
|
|
|
|
|
if positions is None: |
|
|
positions = jnp.arange(seq_len).astype(jnp.int32)[None, :] |
|
|
assert positions.shape[1] == x.shape[1], (positions.shape, x.shape) |
|
|
|
|
|
if mask is None: |
|
|
mask = nn.attention.make_causal_mask(jnp.ones([batch_size, seq_len])) |
|
|
if mask.ndim == 3: |
|
|
mask = mask[:, None, :, :] |
|
|
cache_size = max(seq_len, mask.shape[-1]) |
|
|
assert mask.shape == (batch_size, 1, seq_len, cache_size), mask.shape |
|
|
|
|
|
if self.remat_policy == "none": |
|
|
block_cls = Block |
|
|
else: |
|
|
block_cls = nn.remat( |
|
|
Block, |
|
|
prevent_cse=not self.scan, |
|
|
static_argnums=(5, 6), |
|
|
policy=getattr(jax.checkpoint_policies, self.remat_policy), |
|
|
) |
|
|
|
|
|
block_kw = { |
|
|
"num_heads": self.num_heads, |
|
|
"head_dim": self.head_dim, |
|
|
"num_kv_heads": self.num_kv_heads, |
|
|
"embed_dim": width, |
|
|
"hidden_dim": self.mlp_dim, |
|
|
"dropout": self.dropout, |
|
|
"dropout_bdims": self.dropout_bdims, |
|
|
"cache_dtype": self.cache_dtype, |
|
|
"lora_configs": self.lora_configs, |
|
|
} |
|
|
layers = self.scope.push("layers") |
|
|
blocks = [ |
|
|
nn.scan( |
|
|
block_cls, |
|
|
variable_axes={"params": 0}, |
|
|
split_rngs={"params": True, "dropout": True}, |
|
|
in_axes=(0, nn.broadcast, nn.broadcast, nn.broadcast, nn.broadcast), |
|
|
length=self.depth, |
|
|
)(parent=layers, **block_kw) |
|
|
] |
|
|
for block in blocks: |
|
|
x, kv_cache = block(x, kv_cache, positions, mask, decode, deterministic) |
|
|
|
|
|
assert x.dtype == jnp.dtype(self.embed_dtype) |
|
|
out["encoded"] = x |
|
|
|
|
|
x = RMSNorm(name="final_norm")(x) |
|
|
out["pre_logits"] = x |
|
|
if return_prelogits: |
|
|
return x, kv_cache, out |
|
|
|
|
|
x = embedder.decode(x) |
|
|
out["logits"] = x |
|
|
|
|
|
return x, kv_cache, out |
|
|
|
|
|
def init(self): |
|
|
"""Convenience method for initializing all parameters, necessary due to the quirks of linen.""" |
|
|
self(jnp.zeros((1, 1), dtype=jnp.int32)) |
|
|
|
|
|
|
|
|
def _apply_rope(x, *, positions, max_wavelength=10_000): |
|
|
"""Applies RoPE positions [B, L] to x [B, L, H, D].""" |
|
|
freq_exponents = (2.0 / x.shape[-1]) * jnp.arange(x.shape[-1] // 2, dtype=jnp.float32) |
|
|
timescale = max_wavelength**freq_exponents |
|
|
radians = positions[..., None] / timescale[None, None, :] |
|
|
radians = radians[..., None, :] |
|
|
assert radians.dtype == jnp.float32 |
|
|
|
|
|
sin, cos = jnp.sin(radians), jnp.cos(radians) |
|
|
x1, x2 = jnp.split(x, 2, axis=-1) |
|
|
res = jnp.concatenate([x1 * cos - x2 * sin, x2 * cos + x1 * sin], axis=-1) |
|
|
assert res.dtype == jnp.float32 |
|
|
return res |
|
|
|