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# Copyright 2024 Big Vision Authors.
#
# Licensed under the Apache License, Version 2.0 (the "License");
# you may not use this file except in compliance with the License.
# You may obtain a copy of the License at
#
# http://www.apache.org/licenses/LICENSE-2.0
#
# Unless required by applicable law or agreed to in writing, software
# distributed under the License is distributed on an "AS IS" BASIS,
# WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
# See the License for the specific language governing permissions and
# limitations under the License.
"""Gemma adaptation for Pi, taken from big_vision.
We follow this einsum axis naming convention:
B: batch
T: query length
S: k/v length
N: num query heads
K: num k/v heads
G: num query heads per k/v head
H: head dim
D: d_model ("features")
"""
from collections.abc import Sequence
import dataclasses
from typing import Literal, TypeAlias
import einops
import flax.linen as nn
import jax
import jax.numpy as jnp
import openpi_value.models.lora as lora
import openpi_value.shared.array_typing as at
import openpi_value.training.sharding as sharding
PALIGEMMA_VOCAB_SIZE = 257_152
@dataclasses.dataclass
class Config:
width: int
depth: int
mlp_dim: int
num_heads: int
num_kv_heads: int
head_dim: int
lora_configs: dict[str, lora.LoRAConfig] = dataclasses.field(default_factory=dict)
Variant = Literal["dummy", "gemma_300m", "gemma_300m_lora", "gemma_2b", "gemma_2b_lora"]
def get_config(variant: Variant) -> Config:
"""Returns config for specified gemma variant."""
if variant == "dummy":
return Config(
width=64,
depth=4,
mlp_dim=128,
num_heads=8,
num_kv_heads=1,
head_dim=16,
)
if variant == "gemma_300m":
# 311M params
return Config(
width=1024,
depth=18,
mlp_dim=4096,
num_heads=8,
num_kv_heads=1,
head_dim=256,
)
if variant == "gemma_2b":
return Config(
width=2048,
depth=18,
mlp_dim=16_384,
num_heads=8,
num_kv_heads=1,
head_dim=256,
)
if variant == "gemma_2b_lora":
return Config(
width=2048,
depth=18,
mlp_dim=16_384,
num_heads=8,
num_kv_heads=1,
head_dim=256,
lora_configs={"attn": lora.LoRAConfig(rank=16, alpha=16.0), "ffn": lora.LoRAConfig(rank=16, alpha=16.0)},
)
if variant == "gemma_300m_lora":
# 311M params
return Config(
width=1024,
depth=18,
mlp_dim=4096,
num_heads=8,
num_kv_heads=1,
head_dim=256,
lora_configs={"attn": lora.LoRAConfig(rank=32, alpha=32.0), "ffn": lora.LoRAConfig(rank=32, alpha=32.0)},
)
raise ValueError(f"Unknown variant: {variant}")
@at.typecheck
class RMSNorm(nn.Module):
@nn.compact
def __call__(self, x, cond):
dtype = x.dtype # original dtype, could be half-precision
var = jnp.mean(jnp.square(x.astype(jnp.float32)), axis=-1, keepdims=True) # compute variance in float32
normed_inputs = jnp.asarray(x * jnp.reciprocal(jnp.sqrt(var + 1e-06))) # compute normalization in float32
if cond is None:
# regular RMSNorm
scale = self.param("scale", nn.initializers.zeros_init(), (x.shape[-1]))
normed_inputs = normed_inputs * (
1 + scale
) # scale by learned parameter in float32 (matches Flax implementation)
return normed_inputs.astype(dtype), None # return in original dtype
# adaptive RMSNorm
modulation = nn.Dense(x.shape[-1] * 3, kernel_init=nn.initializers.zeros, dtype=dtype)(cond)
scale, shift, gate = jnp.split(modulation[:, None, :], 3, axis=-1)
normed_inputs = normed_inputs * (1 + scale) + shift # scale and shift in float32
return normed_inputs.astype(dtype), gate
@at.typecheck
class Embedder(nn.Module):
"""Embedder module."""
vocab_size: int
embed_dim: int
def setup(self):
self.input_embedding_table = self.param(
"input_embedding",
nn.initializers.normal(),
(self.vocab_size, self.embed_dim),
)
def encode(self, x):
x = self.input_embedding_table[(x,)]
x *= jnp.sqrt(self.embed_dim).astype(x.dtype)
return x
def decode(self, x):
return jnp.dot(x, self.input_embedding_table.T)
@at.typecheck
class Attention(nn.Module):
"""Attention module."""
configs: Sequence[Config]
@nn.compact
def __call__(self, xs, positions, attn_mask, kv_cache):
# all experts must share the same head dim, num heads, and num kv heads for self-attention to work
assert all(config.head_dim == self.configs[0].head_dim for config in self.configs)
assert all(config.num_heads == self.configs[0].num_heads for config in self.configs)
assert all(config.num_kv_heads == self.configs[0].num_kv_heads for config in self.configs)
dtype = next(x.dtype for x in xs if x is not None) # original dtype, could be half-precision
qkvs = []
for i, (x, config) in enumerate(zip(xs, self.configs, strict=True)):
if x is None:
continue
if config.num_kv_heads == config.num_heads:
qkv_einsum = lora.Einsum(
shape=(3, config.num_heads, config.width, config.head_dim),
name=_name("qkv_einsum", i),
init_fn=nn.initializers.lecun_normal(in_axis=-2, out_axis=-1, batch_axis=(0, 1)),
lora_config=config.lora_configs.get("attn"),
)
qkvs.append(qkv_einsum("BSD,3KDH->3BSKH", x))
else:
q_einsum = lora.Einsum(
shape=(config.num_heads, config.width, config.head_dim),
name=_name("q_einsum", i),
init_fn=nn.initializers.lecun_normal(in_axis=-2, out_axis=-1, batch_axis=(0,)),
lora_config=config.lora_configs.get("attn"),
)
q = q_einsum("BTD,NDH->BTNH", x)
kv_einsum = lora.Einsum(
shape=(2, config.num_kv_heads, config.width, config.head_dim),
name=_name("kv_einsum", i),
init_fn=nn.initializers.lecun_normal(in_axis=-2, out_axis=-1, batch_axis=(0, 1)),
lora_config=config.lora_configs.get("attn"),
)
k, v = kv_einsum("BSD,2KDH->2BSKH", x)
qkvs.append((q, k, v))
q, k, v = (jnp.concatenate(y, axis=1) for y in zip(*qkvs, strict=True))
q = _apply_rope(q, positions=positions)
q *= self.configs[0].head_dim ** -0.5
k = _apply_rope(k, positions=positions)
# should still be half-precision here (if input was half-precision)
assert q.dtype == k.dtype == v.dtype == dtype
if kv_cache is not None:
cache_k, cache_v = kv_cache
k = jnp.concatenate([cache_k, k], axis=1)
v = jnp.concatenate([cache_v, v], axis=1)
q = einops.rearrange(q, "B T (K G) H -> B T K G H", K=self.configs[0].num_kv_heads)
logits = jnp.einsum("BTKGH,BSKH->BKGTS", q, k, preferred_element_type=jnp.float32)
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}"
)
big_neg = -2.3819763e38 # See gemma/modules.py
masked_logits = jnp.where(attn_mask[:, :, None, :, :], logits, big_neg)
probs = jax.nn.softmax(masked_logits, axis=-1).astype(dtype)
encoded = jnp.einsum("BKGTS,BSKH->BTKGH", probs, v)
encoded = einops.rearrange(encoded, "B T K G H -> B T (K G) H")
out = []
start = 0
for i, (x, config) in enumerate(zip(xs, self.configs, strict=True)):
if x is not None:
end = start + x.shape[1]
out_einsum = lora.Einsum(
shape=(config.num_heads, config.head_dim, config.width),
name=_name("attn_vec_einsum", i),
init_fn=nn.initializers.lecun_normal(in_axis=(-3, -2), out_axis=-1),
lora_config=config.lora_configs.get("attn"),
)
out.append(out_einsum("BTNH,NHD->BTD", encoded[:, start:end]))
start = end
else:
out.append(None)
return out, (k, v)
@at.typecheck
class FeedForward(nn.Module):
"""Feed forward module."""
features: int
hidden_dim: int
@nn.compact
def __call__(self, x):
dtype = x.dtype # original dtype, could be half-precision
w_gating = self.param(
"gating_einsum",
nn.initializers.lecun_normal(in_axis=-2, out_axis=-1, batch_axis=(0,)),
(2, self.features, self.hidden_dim),
).astype(dtype)
ff_gate = jnp.dot(x, w_gating[0])
gate_value = nn.gelu(ff_gate)
ff1 = jnp.dot(x, w_gating[1])
activations = gate_value * ff1
w_linear = self.param(
"linear",
nn.initializers.lecun_normal(in_axis=-2, out_axis=-1),
(self.hidden_dim, self.features),
).astype(dtype)
outputs = jnp.dot(activations, w_linear)
assert outputs.dtype == dtype
return outputs
@at.typecheck
class Block(nn.Module):
"""Transformer block."""
configs: tuple[Config, ...]
dropout: float = 0.0
dropout_bdims: tuple[int, ...] = ()
@nn.compact
def __call__(self, xs, kv_cache, positions, attn_mask, adarms_cond, deterministic=True): # noqa: FBT002
xs = sharding.activation_sharding_constraint(xs)
drop = nn.Dropout(self.dropout, self.dropout_bdims) if self.dropout else lambda x, _: x
attn = Attention(configs=self.configs, name="attn")
pre_attn = []
gates = []
for i, x in enumerate(xs):
if x is not None:
x, gate = RMSNorm(name=_name("pre_attention_norm", i))(x, adarms_cond[i]) # noqa: PLW2901
pre_attn.append(x)
gates.append(gate if x is not None else None)
pre_attn = sharding.activation_sharding_constraint(pre_attn)
post_attn, kv_cache = attn(pre_attn, positions, attn_mask, kv_cache)
post_attn = jax.tree.map(lambda x: drop(x, deterministic), post_attn)
post_attn = sharding.activation_sharding_constraint(post_attn)
xs = [_gated_residual(x, y, gate) for x, y, gate in zip(xs, post_attn, gates, strict=True)]
xs = sharding.activation_sharding_constraint(xs)
out = []
gates = []
for i, (x, config) in enumerate(zip(xs, self.configs, strict=True)):
if x is not None:
x, gate = RMSNorm(name=_name("pre_ffw_norm", i))(x, adarms_cond[i]) # noqa: PLW2901
x = lora.FeedForward( # noqa: PLW2901
features=config.width,
hidden_dim=config.mlp_dim,
name=_name("mlp", i),
lora_config=config.lora_configs.get("ffn"),
)(x)
out.append(x)
gates.append(gate if x is not None else None)
out = sharding.activation_sharding_constraint(out)
out = jax.tree.map(lambda x: drop(x, deterministic), out)
xs = [_gated_residual(x, y, gate) for x, y, gate in zip(xs, out, gates, strict=True)]
xs = sharding.activation_sharding_constraint(xs)
return xs, kv_cache
KVCache: TypeAlias = tuple[at.Float[at.Array, "l b _t _k _h"], at.Float[at.Array, "l b _t _v _h"]]
@at.typecheck
class Module(nn.Module):
"""Transformer model, supporting a mixture of different weights for different tokens."""
configs: Sequence[Config] # list of configs, one for each expert
embed_dtype: str
dropout: float = 0.0
dropout_bdims: tuple[int, ...] = () # Every float is dropped independently.
adarms: bool = False
def setup(self):
# all experts must have the same depth
assert all(config.depth == self.configs[0].depth for config in self.configs)
self.embedder = Embedder(
vocab_size=PALIGEMMA_VOCAB_SIZE,
embed_dim=self.configs[0].width, # embedder for first expert only
name="embedder",
)
block_cls = nn.remat(
Block,
prevent_cse=False,
static_argnums=(5,), # 0=self, 6=deterministic
policy=jax.checkpoint_policies.nothing_saveable,
)
self.layers = 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,
), # 0=kv_cache, 1=positions, 2=mask, 3=adarms_cond, 4=deterministic
length=self.configs[0].depth,
)(
configs=self.configs,
dropout=self.dropout,
dropout_bdims=self.dropout_bdims,
)
self.final_norms = [RMSNorm(name=_name("final_norm", i)) for i in range(len(self.configs))]
@at.typecheck
def embed(self, tokens: at.Int[at.Array, "b t"]) -> at.Float[at.Array, "b t d"]:
return self.embedder.encode(tokens).astype(self.embed_dtype)
@at.typecheck
def __call__(
self,
# list of token arrays, one for each expert, or None if that expert should not be run
embedded: Sequence[at.Float[at.Array, "b _t _d"] | None],
positions: at.Int[at.Array, "b t"],
mask: at.Bool[at.Array, "b t s"],
adarms_cond: Sequence[at.Float[at.Array, "b _d"] | None] | None = None,
*,
kv_cache: KVCache | None = None,
deterministic: bool = True,
) -> tuple[Sequence[at.Float[at.Array, "b _t _d"] | None], KVCache]:
embedded = jax.tree.map(lambda e: e.astype(self.embed_dtype), embedded)
mask = jnp.asarray(mask)[:, None, :, :]
if adarms_cond is None:
adarms_cond = [None] * len(self.configs)
embedded, kv_cache = self.layers(embedded, kv_cache, positions, mask, adarms_cond, deterministic)
assert all(e.dtype == jnp.dtype(self.embed_dtype) for e in embedded if e is not None)
return [
f(e, a)[0] if e is not None else e for f, e, a in zip(self.final_norms, embedded, adarms_cond, strict=True)
], kv_cache
def init(self, use_adarms: Sequence[bool]):
"""Convenience method for initializing all parameters, necessary due to the quirks of linen."""
self.embed(jnp.zeros((1, 1), dtype=jnp.int32))
self(
[jnp.zeros((1, 1, c.width)) for c in self.configs],
jnp.zeros((1, len(self.configs)), dtype=jnp.int32),
jnp.zeros((1, len(self.configs), len(self.configs)), dtype=bool),
adarms_cond=[jnp.zeros((1, c.width)) if u else None for u, c in zip(use_adarms, self.configs, strict=True)],
)
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
# radians.shape = [...,L,1,d=D/2]
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
# The original bigvision impl allows RoPE to upcast to float32. It is then immediately downcast again to the cache
# dtype when in inference mode (but not in training mode). I don't think any of this was intentional. Based on the
# original DeepMind impl, as well as the widely-used transformers impl, it is ok to always downcast back to bfloat16
# here.
return res.astype(x.dtype)
def _name(name, i):
# we name layers like this because we want the first expert's weights to have no suffix (e.g., "attn"), so that they
# can be loaded seamlessly from the existing PaliGemma checkpoint. subsequent experts will have a suffix (e.g.,
# "attn_1") and their weights will be initialized from scratch. in practice, we only use two experts -- PaliGemma,
# and the action expert.
if i == 0:
return name
return f"{name}_{i}"
def _gated_residual(x, y, gate):
assert (x is None) == (y is None)
if x is None:
return None
if gate is None:
return x + y
return x + y * gate