2023年的深度学习入门指南(21) - 百川大模型

前面我们用了三节的篇幅介绍了目前最强大的开源模型LLaMA2。这一节我们说一说国产大模型的一个代表，百川大模型。

使用百川大模型

第一步我们先把百川用起来，然后再研究如何训练和其原理如何。

百川的使用非常简单，按照我们前面学习的Transformer库的标准用法就可以了。

首先安装依赖库：

pip install transformers
pip install sentencepiece
pip install accelerate
pip install transformers_stream_generator

安装的过程大致是下面这样：

Collecting transformers
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Installing collected packages: tokenizers, safetensors, huggingface-hub, transformers
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Installing collected packages: accelerate
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Successfully built transformers_stream_generator
Installing collected packages: transformers_stream_generator
Successfully installed transformers_stream_generator-0.0.4

我们先看一个使用7b参数模型的例子。

from transformers import AutoModelForCausalLM, AutoTokenizer

tokenizer = AutoTokenizer.from_pretrained("baichuan-inc/Baichuan-7B", trust_remote_code=True)
model = AutoModelForCausalLM.from_pretrained("baichuan-inc/Baichuan-7B", device_map="auto", trust_remote_code=True)
inputs = tokenizer('备周则意怠，常见则不疑', return_tensors='pt')
inputs = inputs.to('cuda:0')
pred = model.generate(**inputs, max_new_tokens=64,repetition_penalty=1.1)
print(tokenizer.decode(pred.cpu()[0], skip_special_tokens=True))

输出结果如下：

备周则意怠，常见则不疑。阴在阳之内，不在阳之对。太阳，太阴。
《道德经》第五十二章：有物混成，先天地生。寂兮寥兮，独立而不改，周行而不殆，可以为天下母。吾不知其名，字之曰道，强

看来百川是懂三十六计的。

当第一次运行的时候，我们可以看到加载模型的过程输出：

Downloading (…)okenizer_config.json: 100%
802/802 [00:00<00:00, 57.5kB/s]
Downloading (…)nization_baichuan.py: 100%
9.57k/9.57k [00:00<00:00, 818kB/s]
A new version of the following files was downloaded from https://huggingface.co/baichuan-inc/Baichuan-7B:
- tokenization_baichuan.py
. Make sure to double-check they do not contain any added malicious code. To avoid downloading new versions of the code file, you can pin a revision.
Downloading tokenizer.model: 100%
1.14M/1.14M [00:00<00:00, 53.3MB/s]
Downloading (…)cial_tokens_map.json: 100%
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Downloading (…)lve/main/config.json: 100%
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Downloading (…)guration_baichuan.py: 100%
2.35k/2.35k [00:00<00:00, 221kB/s]
A new version of the following files was downloaded from https://huggingface.co/baichuan-inc/Baichuan-7B:
- configuration_baichuan.py
. Make sure to double-check they do not contain any added malicious code. To avoid downloading new versions of the code file, you can pin a revision.
Downloading (…)modeling_baichuan.py: 100%
28.6k/28.6k [00:00<00:00, 2.32MB/s]
A new version of the following files was downloaded from https://huggingface.co/baichuan-inc/Baichuan-7B:
- modeling_baichuan.py
. Make sure to double-check they do not contain any added malicious code. To avoid downloading new versions of the code file, you can pin a revision.
Downloading pytorch_model.bin: 100%
14.0G/14.0G [01:40<00:00, 239MB/s]
Downloading (…)neration_config.json: 100%
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我们再看一个使用13b参数模型的例子。13b的能力更强，我们就可以使用ChatGPT一样的对话的格式了。

import torch
from transformers import AutoModelForCausalLM, AutoTokenizer
from transformers.generation.utils import GenerationConfig
tokenizer = AutoTokenizer.from_pretrained("baichuan-inc/Baichuan-13B-Chat", use_fast=False, trust_remote_code=True)
model = AutoModelForCausalLM.from_pretrained("baichuan-inc/Baichuan-13B-Chat", device_map="auto", torch_dtype=torch.float16, trust_remote_code=True)
model.generation_config = GenerationConfig.from_pretrained("baichuan-inc/Baichuan-13B-Chat")
messages = []
messages.append({"role": "user", "content": "神圣罗马帝国是如何建立的？"})
response = model.chat(tokenizer, messages)
print(response)

输出如下：

神圣罗马帝国(Sacrum Romanum Imperium)，又称德意志民族神圣罗马帝国或第一帝国，是962年至1806年间存在于欧洲的历史政治实体。它起源于东法兰克王国，由查理曼大帝的孙子、德意志国王奥托一世在962年被教皇约翰十二世加冕为罗马皇帝时创立。

神圣罗马帝国的建立过程可以追溯到公元9世纪末期，当时东法兰克王国逐渐崛起，成为中欧地区的一个强大国家。919年，萨克森公爵亨利一世成为国王，开始了萨利安王朝的统治。亨利一世和他的继任者们加强了中央集权，扩大了领土范围，使东法兰克王国成为了一个强大的政治实体。

955年，亨利二世在莱希费尔德战役中击败了马扎尔人，巩固了王国的东部边界。亨利二世还与拜占庭帝国建立了外交关系，引入了许多拜占庭文化元素，如建筑风格和法律制度。这些改革为神圣罗马帝国的建立奠定了基础。

962年，教皇约翰十二世为了对抗意大利的诺曼征服者，寻求德意志国王奥托一世的支持。作为回报，教皇约翰十二世将奥托一世加冕为罗马皇帝，从而确立了神圣罗马帝国的地位。从此，神圣罗马帝国成为了基督教世界的精神领袖，同时也是欧洲最强大的国家之一。

然而，神圣罗马帝国在实际运作中往往受到诸侯和贵族的掣肘，导致中央集权难以实现。此外，帝国内部的封建制度和领地纷争也削弱了帝国的实力。在13世纪至14世纪期间，神圣罗马帝国陷入了严重的内部分裂和衰落。

尽管如此，神圣罗马帝国仍然在欧洲历史上扮演着重要角色。它对文艺复兴时期的欧洲产生了深远影响，同时也为宗教改革和民族国家的兴起提供了舞台。1806年，拿破仑战争结束后，神圣罗马帝国正式宣告解体，取而代之的是一系列独立的国家，如普鲁士、奥地利等。

百川大模型看来相当懂历史，这个回答的结果比gpt4都好。给百川的大佬们点赞。

第一次加裁13b模型的输出如下面这样：

Downloading (…)okenizer_config.json: 100%
954/954 [00:00<00:00, 83.4kB/s]
Downloading (…)nization_baichuan.py: 100%
8.72k/8.72k [00:00<00:00, 787kB/s]
A new version of the following files was downloaded from https://huggingface.co/baichuan-inc/Baichuan-13B-Chat:
- tokenization_baichuan.py
. Make sure to double-check they do not contain any added malicious code. To avoid downloading new versions of the code file, you can pin a revision.
Downloading tokenizer.model: 100%
1.14M/1.14M [00:00<00:00, 49.4MB/s]
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1.49k/1.49k [00:00<00:00, 141kB/s]
A new version of the following files was downloaded from https://huggingface.co/baichuan-inc/Baichuan-13B-Chat:
- configuration_baichuan.py
. Make sure to double-check they do not contain any added malicious code. To avoid downloading new versions of the code file, you can pin a revision.
Downloading (…)modeling_baichuan.py: 100%
24.5k/24.5k [00:00<00:00, 213kB/s]
Downloading (…)ve/main/quantizer.py: 100%
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A new version of the following files was downloaded from https://huggingface.co/baichuan-inc/Baichuan-13B-Chat:
- quantizer.py
. Make sure to double-check they do not contain any added malicious code. To avoid downloading new versions of the code file, you can pin a revision.
A new version of the following files was downloaded from https://huggingface.co/baichuan-inc/Baichuan-13B-Chat:
- modeling_baichuan.py
- quantizer.py
. Make sure to double-check they do not contain any added malicious code. To avoid downloading new versions of the code file, you can pin a revision.
Downloading (…)model.bin.index.json: 100%
23.3k/23.3k [00:00<00:00, 2.04MB/s]
Downloading shards: 100%
3/3 [01:58<00:00, 37.32s/it]
Downloading (…)l-00001-of-00003.bin: 100%
9.97G/9.97G [00:36<00:00, 327MB/s]
Downloading (…)l-00002-of-00003.bin: 100%
9.95G/9.95G [00:58<00:00, 209MB/s]
Downloading (…)l-00003-of-00003.bin: 100%
6.61G/6.61G [00:22<00:00, 251MB/s]
Loading checkpoint shards: 100%
3/3 [00:25<00:00, 8.18s/it]
Downloading (…)neration_config.json: 100%
284/284 [00:00<00:00, 25.8kB/s]

百川模型的配置代码

下面我们趁热打铁看下百川模型的代码。

首先是配置类：

from transformers.configuration_utils import PretrainedConfig
from transformers.utils import logging


logger = logging.get_logger(__name__)


class BaiChuanConfig(PretrainedConfig):
    model_type = "baichuan"
    keys_to_ignore_at_inference = ["past_key_values"]

    def __init__(
        self,
        vocab_size=64000,
        hidden_size=4096,
        intermediate_size=11008,
        num_hidden_layers=32,
        num_attention_heads=32,
        hidden_act="silu",
        max_position_embeddings=4096,
        initializer_range=0.02,
        rms_norm_eps=1e-6,
        use_cache=True,
        pad_token_id=0,
        bos_token_id=1,
        eos_token_id=2,
        tie_word_embeddings=False,
        **kwargs,
    ):
        self.vocab_size = vocab_size
        self.max_position_embeddings = max_position_embeddings
        self.hidden_size = hidden_size
        self.intermediate_size = intermediate_size
        self.num_hidden_layers = num_hidden_layers
        self.num_attention_heads = num_attention_heads
        self.hidden_act = hidden_act
        self.initializer_range = initializer_range
        self.rms_norm_eps = rms_norm_eps
        self.use_cache = use_cache
        super().__init__(
            pad_token_id=pad_token_id,
            bos_token_id=bos_token_id,
            eos_token_id=eos_token_id,
            tie_word_embeddings=tie_word_embeddings,
            **kwargs,
        )

BaiChuanConfig 类继承自 PretrainedConfig 类。PretrainedConfig 类是 transformers 库中的一个类，用于存储预训练模型的配置信息。

剩下就是介绍下百川模型所用的参数了：

• vocab_size : 词汇表的大小，即模型可以识别的词汇数量，这里默认值为 64000。
• hidden_size : 隐藏层的维度，这里默认值为 4096。
• intermediate_size : Transformer 中前向回馈网络的大小，这里默认值为 11008。
• num_hidden_layers : 模型中隐藏层的数量，这里默认值为 32。
• num_attention_heads : Transformer 中的多头注意力机制的头数，这里默认值为 32。
• hidden_act : 隐藏层的激活函数，这里默认值为 silu。
• max_position_embeddings : 可接受的最大序列长度，这里默认值为 4096。
• initializer_range : 参数初始化的范围，这里默认值为 0.02。
• rms_norm_eps : RMSNorm 层的epsilon，这是一个防止除以零的小值，这里默认值为 1e-6。
• use_cache : 是否使用注意力的缓存，这里默认值为 True。
• pad_token_id : 用于填充的特殊标记的 ID，这里默认值为 0。
• bos_token_id : 句子开始的特殊标记的 ID，这里默认值为 1。
• eos_token_id : 句子结束的特殊标记的 ID，这里默认值为 2。
• tie_word_embeddings : 是否将输出层的权重与输入层的词嵌入权重绑定在一起，这里默认值为 False。

百川的模型代码

上一节我们介绍了LLaMA的RMSNorm的代码，现在我们来看看百川是如何实现的：

class RMSNorm(nn.Module):
    def __init__(self, hidden_size, eps=1e-6):
        """
        RMSNorm is equivalent to T5LayerNorm
        """
        super().__init__()
        self.weight = nn.Parameter(torch.ones(hidden_size))
        self.variance_epsilon = eps

    def forward(self, hidden_states):
        variance = hidden_states.to(torch.float32).pow(2).mean(-1, keepdim=True)
        hidden_states = hidden_states * torch.rsqrt(variance + self.variance_epsilon)

        # convert into half-precision if necessary
        if self.weight.dtype in [torch.float16, torch.bfloat16]:
            hidden_states = hidden_states.to(self.weight.dtype)

        return self.weight * hidden_states

实现逻辑大同小异，这里就不再赘述了。

下面我们再看下百川的位置编码：

class RotaryEmbedding(torch.nn.Module):
    def __init__(self, dim, max_position_embeddings=2048, base=10000, device=None):
        super().__init__()
        inv_freq = 1.0 / (base ** (torch.arange(0, dim, 2).float().to(device) / dim))
        self.register_buffer("inv_freq", inv_freq)

        # Build here to make `torch.jit.trace` work.
        self.max_seq_len_cached = max_position_embeddings
        t = torch.arange(self.max_seq_len_cached, device=self.inv_freq.device, dtype=self.inv_freq.dtype)
        freqs = torch.einsum("i,j->ij", t, self.inv_freq)
        # Different from paper, but it uses a different permutation in order to obtain the same calculation
        emb = torch.cat((freqs, freqs), dim=-1)
        self.register_buffer("cos_cached", emb.cos()[None, None, :, :], persistent=False)
        self.register_buffer("sin_cached", emb.sin()[None, None, :, :], persistent=False)

    def forward(self, x, seq_len=None):
        # x: [bs, num_attention_heads, seq_len, head_size]
        # This `if` block is unlikely to be run after we build sin/cos in `__init__`. Keep the logic here just in case.
        if seq_len > self.max_seq_len_cached:
            self.max_seq_len_cached = seq_len
            t = torch.arange(self.max_seq_len_cached, device=x.device, dtype=self.inv_freq.dtype)
            freqs = torch.einsum("i,j->ij", t, self.inv_freq)
            # Different from paper, but it uses a different permutation in order to obtain the same calculation
            emb = torch.cat((freqs, freqs), dim=-1).to(x.device)
            self.register_buffer("cos_cached", emb.cos()[None, None, :, :], persistent=False)
            self.register_buffer("sin_cached", emb.sin()[None, None, :, :], persistent=False)
        return (
            self.cos_cached[:, :, :seq_len, ...].to(dtype=x.dtype),
            self.sin_cached[:, :, :seq_len, ...].to(dtype=x.dtype),
        )

RotaryEmbedding的实现主要是将sin和cos计算的结果缓存起来以便减少计算量。

这里面有一个有意思的知识点叫做Einstein summation convention，译成爱因斯坦求和约定。这个约定是一种简洁的线性代数表达式的表示方法，它省略了求和符号。也可以叫做Einstein notation，爱因斯坦表示法。

这种约定可以极大地简化复杂的张量表达式。例如，两个矩阵 A 和 B 的乘积可以简单地写为 $C_{ij}=A_{ik}{B}_{kj}$，其中 i 和 j 是结果矩阵 C 的索引，而 k 是需要求和的索引。

再比如：$ik,kj->ij,A,B$ ,就表示矩阵A和B的乘积。

在PyTorch中，torch.einsum()函数就是用来实现爱因斯坦求和约定的。

于是：

torch.einsum("i,j->ij", t, self.inv_freq)

就表示矩阵t和self.inv_freq的乘积。

下面我们看下百川的全连接网络：

class MLP(nn.Module):
    def __init__(
            self,
            hidden_size: int,
            intermediate_size: int,
            hidden_act: str,
    ):
        super().__init__()
        self.gate_proj = nn.Linear(hidden_size, intermediate_size, bias=False)
        self.down_proj = nn.Linear(intermediate_size, hidden_size, bias=False)
        self.up_proj = nn.Linear(hidden_size, intermediate_size, bias=False)
        self.act_fn = ACT2FN[hidden_act]

    def forward(self, x):
        return self.down_proj(self.act_fn(self.gate_proj(x)) * self.up_proj(x))

这里又出现了一个新的功能ACT2FN，它是一个字典，用来存储激活函数的名称和对应的函数。例如，如果 hidden_act 是 “gelu”，则 ACT2FN[hidden_act] 将返回 torch.nn.functional.gelu() 函数。

这是一个常见的模式，用于在 PyTorch 中使用自定义激活函数。它允许你在模型中使用任何你喜欢的激活函数，而无需编写额外的代码。

下面我们来看下百川的注意力机制：

class Attention(nn.Module):
    """Multi-headed attention from 'Attention Is All You Need' paper"""

    def __init__(self, config: BaiChuanConfig):
        super().__init__()
        self.config = config
        self.hidden_size = config.hidden_size
        self.num_heads = config.num_attention_heads
        self.head_dim = self.hidden_size // self.num_heads
        self.max_position_embeddings = config.max_position_embeddings

        if (self.head_dim * self.num_heads) != self.hidden_size:
            raise ValueError(
                f"hidden_size must be divisible by num_heads (got `hidden_size`: {self.hidden_size}"
                f" and `num_heads`: {self.num_heads})."
            )
        self.W_pack = nn.Linear(self.hidden_size, 3 * self.hidden_size, bias=False)
        self.o_proj = nn.Linear(self.num_heads * self.head_dim, self.hidden_size, bias=False)
        self.rotary_emb = RotaryEmbedding(self.head_dim, max_position_embeddings=self.max_position_embeddings)
        self.cos, self.sin = None, None

    def _shape(self, tensor: torch.Tensor, seq_len: int, bsz: int):
        return tensor.view(bsz, seq_len, self.num_heads, self.head_dim).transpose(1, 2).contiguous()

中规中矩，这里没有什么特别强调的地方。

    def forward(
            self,
            hidden_states: torch.Tensor,
            attention_mask: Optional[torch.Tensor] = None,
            position_ids: Optional[torch.LongTensor] = None,
            past_key_value: Optional[Tuple[torch.Tensor]] = None,
            output_attentions: bool = False,
            use_cache: bool = False,
    ) -> Tuple[torch.Tensor, Optional[torch.Tensor], Optional[Tuple[torch.Tensor]]]:
        bsz, q_len, _ = hidden_states.size()

        proj = self.W_pack(hidden_states)
        proj = proj.unflatten(-1, (3, self.hidden_size)).unsqueeze(0).transpose(0, -2).squeeze(-2)

        if self.training:  # for training
            query_states = proj[0].view(bsz, q_len, self.num_heads, self.head_dim).transpose(1, 2)
            key_states = proj[1].view(bsz, q_len, self.num_heads, self.head_dim).transpose(1, 2)
            value_states = proj[2].view(bsz, q_len, self.num_heads, self.head_dim)

            kv_seq_len = key_states.shape[-2]
            cos, sin = self.rotary_emb(value_states, seq_len=kv_seq_len)
            query_states, key_states = apply_rotary_pos_emb(query_states, key_states, cos, sin, position_ids)

            query_states = query_states.transpose(1, 2)
            key_states = key_states.transpose(1, 2)

            attn_output = xops.memory_efficient_attention(
                query_states, key_states, value_states,
                attn_bias=xops.LowerTriangularMask()
            )
            attn_output = attn_output.reshape(bsz, q_len, self.hidden_size)
            attn_output = self.o_proj(attn_output)
            return attn_output, None, None

        else:  # for inference
            query_states = proj[0].view(bsz, q_len, self.num_heads, self.head_dim).transpose(1, 2)
            key_states = proj[1].view(bsz, q_len, self.num_heads, self.head_dim).transpose(1, 2)
            value_states = proj[2].view(bsz, q_len, self.num_heads, self.head_dim).transpose(1, 2)

            kv_seq_len = key_states.shape[-2]
            if past_key_value is not None:
                kv_seq_len += past_key_value[0].shape[-2]
            cos, sin = self.rotary_emb(value_states, seq_len=kv_seq_len)
            query_states, key_states = apply_rotary_pos_emb(query_states, key_states, cos, sin, position_ids)

            if past_key_value is not None:
                key_states = torch.cat([past_key_value[0], key_states], dim=2)
                value_states = torch.cat([past_key_value[1], value_states], dim=2)

            past_key_value = (key_states, value_states) if use_cache else None
            attn_weights = torch.matmul(query_states, key_states.transpose(2, 3)) / math.sqrt(self.head_dim)

            if attn_weights.size() != (bsz, self.num_heads, q_len, kv_seq_len):
                raise ValueError(
                    f"Attention weights should be of size {(bsz, self.num_heads, q_len, kv_seq_len)}, but is"
                    f" {attn_weights.size()}"
                )

            if attention_mask is not None:
                if attention_mask.size() != (bsz, 1, q_len, kv_seq_len):
                    raise ValueError(
                        f"Attention mask should be of size {(bsz, 1, q_len, kv_seq_len)}, but is {attention_mask.size()}"
                    )
                attn_weights = attn_weights + attention_mask
                attn_weights = torch.max(attn_weights, torch.tensor(torch.finfo(attn_weights.dtype).min))

            # upcast attention to fp32
            attn_weights = nn.functional.softmax(attn_weights, dim=-1, dtype=torch.float32).to(query_states.dtype)
            attn_output = torch.matmul(attn_weights, value_states)

            if attn_output.size() != (bsz, self.num_heads, q_len, self.head_dim):
                raise ValueError(
                    f"`attn_output` should be of size {(bsz, self.num_heads, q_len, self.head_dim)}, but is"
                    f" {attn_output.size()}"
                )

            attn_output = attn_output.transpose(1, 2)
            attn_output = attn_output.reshape(bsz, q_len, self.hidden_size)
            attn_output = self.o_proj(attn_output)

            if not output_attentions:
                attn_weights = None

            return attn_output, attn_weights, past_key_value

主要功能:

• 把输入hidden_states线性映射到query/key/value表示(W_pack)
• 计算位置编码(rotary_emb),应用到query/key上(apply_rotary_pos_emb)
• 按训练和推理两种情况实现attention:
  • 训练:直接计算attention,LowerTriangularMask作用在bias上
  • 推理:concat past_key_value作为key和value,计算attention权重和输出
• 输出转置 reshape 到正确形状
• 输出projection线性变换(o_proj)
• 返回attention输出、权重(可选)和cache past_key_value(可选)

然后，请注意，百川的模型是只使用解码器的。我们来看下是如何用注意力机制实现解码器的：

class DecoderLayer(nn.Module):
    def __init__(self, config: BaiChuanConfig):
        super().__init__()
        self.hidden_size = config.hidden_size
        self.self_attn = Attention(config=config)
        self.mlp = MLP(
            hidden_size=self.hidden_size,
            intermediate_size=config.intermediate_size,
            hidden_act=config.hidden_act,
        )
        self.input_layernorm = RMSNorm(config.hidden_size, eps=config.rms_norm_eps)
        self.post_attention_layernorm = RMSNorm(config.hidden_size, eps=config.rms_norm_eps)

    def forward(
            self,
            hidden_states: torch.Tensor,
            attention_mask: Optional[torch.Tensor] = None,
            position_ids: Optional[torch.LongTensor] = None,
            past_key_value: Optional[Tuple[torch.Tensor]] = None,
            output_attentions: Optional[bool] = False,
            use_cache: Optional[bool] = False,
    ) -> Tuple[torch.FloatTensor, Optional[Tuple[torch.FloatTensor, torch.FloatTensor]]]:
...

        residual = hidden_states

        hidden_states = self.input_layernorm(hidden_states)

        # Self Attention
        hidden_states, self_attn_weights, present_key_value = self.self_attn(
            hidden_states=hidden_states,
            attention_mask=attention_mask,
            position_ids=position_ids,
            past_key_value=past_key_value,
            output_attentions=output_attentions,
            use_cache=use_cache,
        )
        hidden_states = residual + hidden_states

        # Fully Connected
        residual = hidden_states
        hidden_states = self.post_attention_layernorm(hidden_states)
        hidden_states = self.mlp(hidden_states)
        hidden_states = residual + hidden_states

        outputs = (hidden_states,)

        if output_attentions:
            outputs += (self_attn_weights,)

        if use_cache:
            outputs += (present_key_value,)

        return outputs

forward 函数的输入包含 attention_mask，它可以用于防止模型关注到输入序列中的某些部分（例如，填充的部分）。

对于Attention Mask，还有两个辅助的函数需要介绍下：

# Copied from transformers.models.bart.modeling_bart._make_causal_mask
def _make_causal_mask(
        input_ids_shape: torch.Size, dtype: torch.dtype, device: torch.device, past_key_values_length: int = 0
):
    """
    Make causal mask used for bi-directional self-attention.
    """
    bsz, tgt_len = input_ids_shape
    mask = torch.full((tgt_len, tgt_len), torch.tensor(torch.finfo(dtype).min, device=device), device=device)
    mask_cond = torch.arange(mask.size(-1), device=device)
    mask.masked_fill_(mask_cond < (mask_cond + 1).view(mask.size(-1), 1), 0)
    mask = mask.to(dtype)

    if past_key_values_length > 0:
        mask = torch.cat([torch.zeros(tgt_len, past_key_values_length, dtype=dtype, device=device), mask], dim=-1)
    return mask[None, None, :, :].expand(bsz, 1, tgt_len, tgt_len + past_key_values_length)


# Copied from transformers.models.bart.modeling_bart._expand_mask
def _expand_mask(mask: torch.Tensor, dtype: torch.dtype, tgt_len: Optional[int] = None):
    """
    Expands attention_mask from `[bsz, seq_len]` to `[bsz, 1, tgt_seq_len, src_seq_len]`.
    """
    bsz, src_len = mask.size()
    tgt_len = tgt_len if tgt_len is not None else src_len

    expanded_mask = mask[:, None, None, :].expand(bsz, 1, tgt_len, src_len).to(dtype)

    inverted_mask = 1.0 - expanded_mask

    return inverted_mask.masked_fill(inverted_mask.to(torch.bool), torch.finfo(dtype).min)

make_causal_mask函数创建一个用于双向自注意力的因果掩码。它首先根据输入的形状和数据类型创建一个全为负无穷大的张量，然后使用 torch.arange 和 masked_fill 方法将对角线以下的元素设置为 0。如果 past_key_values_length 大于 0，则在掩码的最后一维上添加一些全为 0 的列。最后将掩码扩展到指定的形状并返回。

_expand_mask 是将注意力掩码从 [bsz, seq_len] 的形状扩展到 [bsz, 1, tgt_seq_len, src_seq_len] 的形状。它首先使用 expand 方法将掩码扩展到指定的形状，然后将其转换为指定的数据类型。接着计算掩码的反转值，并将其填充为负无穷大。最后返回填充后的反转掩码。

下面是最后组装的成果，百川的模型，先看初始化的部分：

class Model(PreTrainedModel):
...
    def __init__(self, config: BaiChuanConfig):
        super().__init__(config)
        self.padding_idx = config.pad_token_id
        self.vocab_size = config.vocab_size

        self.embed_tokens = nn.Embedding(config.vocab_size, config.hidden_size, self.padding_idx)
        self.layers = nn.ModuleList([DecoderLayer(config) for _ in range(config.num_hidden_layers)])
        self.norm = RMSNorm(config.hidden_size, eps=config.rms_norm_eps)

        self.gradient_checkpointing = False
        # Initialize weights and apply final processing
        self.post_init()

    def get_input_embeddings(self):
        return self.embed_tokens

    def set_input_embeddings(self, value):
        self.embed_tokens = value

    # Copied from transformers.models.bart.modeling_bart.BartDecoder._prepare_decoder_attention_mask
    def _prepare_decoder_attention_mask(self, attention_mask, input_shape, inputs_embeds, past_key_values_length):
        # create causal mask
        # [bsz, seq_len] -> [bsz, 1, tgt_seq_len, src_seq_len]
        combined_attention_mask = None
        if input_shape[-1] > 1:
            combined_attention_mask = _make_causal_mask(
                input_shape,
                inputs_embeds.dtype,
                device=inputs_embeds.device,
                past_key_values_length=past_key_values_length,
            )

        if attention_mask is not None:
            # [bsz, seq_len] -> [bsz, 1, tgt_seq_len, src_seq_len]
            expanded_attn_mask = _expand_mask(attention_mask, inputs_embeds.dtype, tgt_len=input_shape[-1]).to(
                inputs_embeds.device
            )
            combined_attention_mask = (
                expanded_attn_mask if combined_attention_mask is None else expanded_attn_mask + combined_attention_mask
            )

        return combined_attention_mask

基本上就是个标准的解码器组成的Transformer模型。

最后我们来看前向传播的逻辑：

    def forward(
            self,
            input_ids: torch.LongTensor = None,
            attention_mask: Optional[torch.Tensor] = None,
            position_ids: Optional[torch.LongTensor] = None,
            past_key_values: Optional[List[torch.FloatTensor]] = None,
            inputs_embeds: Optional[torch.FloatTensor] = None,
            use_cache: Optional[bool] = None,
            output_attentions: Optional[bool] = None,
            output_hidden_states: Optional[bool] = None,
            return_dict: Optional[bool] = None,
    ) -> Union[Tuple, BaseModelOutputWithPast]:
        output_attentions = output_attentions if output_attentions is not None else self.config.output_attentions
        output_hidden_states = (
            output_hidden_states if output_hidden_states is not None else self.config.output_hidden_states
        )
        use_cache = use_cache if use_cache is not None else self.config.use_cache

        return_dict = return_dict if return_dict is not None else self.config.use_return_dict

        # retrieve input_ids and inputs_embeds
        if input_ids is not None and inputs_embeds is not None:
            raise ValueError("You cannot specify both decoder_input_ids and decoder_inputs_embeds at the same time")
        elif input_ids is not None:
            batch_size, seq_length = input_ids.shape
        elif inputs_embeds is not None:
            batch_size, seq_length, _ = inputs_embeds.shape
        else:
            raise ValueError("You have to specify either decoder_input_ids or decoder_inputs_embeds")

        seq_length_with_past = seq_length
        past_key_values_length = 0

        if past_key_values is not None:
            past_key_values_length = past_key_values[0][0].shape[2]
            seq_length_with_past = seq_length_with_past + past_key_values_length

        if position_ids is None:
            device = input_ids.device if input_ids is not None else inputs_embeds.device
            position_ids = torch.arange(
                past_key_values_length, seq_length + past_key_values_length, dtype=torch.long, device=device
            )
            position_ids = position_ids.unsqueeze(0).view(-1, seq_length)
        else:
            position_ids = position_ids.view(-1, seq_length).long()

        if inputs_embeds is None:
            inputs_embeds = self.embed_tokens(input_ids)
        # embed positions
        if attention_mask is None:
            attention_mask = torch.ones(
                (batch_size, seq_length_with_past), dtype=torch.bool, device=inputs_embeds.device
            )
        attention_mask = self._prepare_decoder_attention_mask(
            attention_mask, (batch_size, seq_length), inputs_embeds, past_key_values_length
        )

        hidden_states = inputs_embeds

        if self.gradient_checkpointing and self.training:
            if use_cache:
                logger.warning_once(
                    "`use_cache=True` is incompatible with gradient checkpointing. Setting `use_cache=False`..."
                )
                use_cache = False

        # decoder layers
        all_hidden_states = () if output_hidden_states else None
        all_self_attns = () if output_attentions else None
        next_decoder_cache = () if use_cache else None

        for idx, decoder_layer in enumerate(self.layers):
            if output_hidden_states:
                all_hidden_states += (hidden_states,)

            past_key_value = past_key_values[idx] if past_key_values is not None else None

            if self.gradient_checkpointing and self.training:

                def create_custom_forward(module):
                    def custom_forward(*inputs):
                        # None for past_key_value
                        return module(*inputs, output_attentions, None)

                    return custom_forward

                layer_outputs = torch.utils.checkpoint.checkpoint(
                    create_custom_forward(decoder_layer),
                    hidden_states,
                    attention_mask,
                    position_ids,
                    None,
                )
            else:
                layer_outputs = decoder_layer(
                    hidden_states,
                    attention_mask=attention_mask,
                    position_ids=position_ids,
                    past_key_value=past_key_value,
                    output_attentions=output_attentions,
                    use_cache=use_cache,
                )

            hidden_states = layer_outputs[0]

            if use_cache:
                next_decoder_cache += (layer_outputs[2 if output_attentions else 1],)

            if output_attentions:
                all_self_attns += (layer_outputs[1],)

        hidden_states = self.norm(hidden_states)

        # add hidden states from the last decoder layer
        if output_hidden_states:
            all_hidden_states += (hidden_states,)

        next_cache = next_decoder_cache if use_cache else None
        if not return_dict:
            return tuple(v for v in [hidden_states, next_cache, all_hidden_states, all_self_attns] if v is not None)
        return BaseModelOutputWithPast(
            last_hidden_state=hidden_states,
            past_key_values=next_cache,
            hidden_states=all_hidden_states,
            attentions=all_self_attns,
        )

上面的代码虽然不少，但是逻辑还是比较清晰的，主要步骤为：

• 获取输入,包括input_ids或inputs_embeds,以及attention_mask, position_ids等。
• 计算sequence长度,包括past_key_values的长度。
• 生成位置编码position_ids。
• 将input_ids转为inputs_embeds。
• 生成decoder的attention mask。
• 通过decoder层堆叠进行前向计算:
• 每层可选输出hidden states和attentions
• 使用残差连接和LayerNorm
• 可以使用checkpoint节省GPU内存
• 缓存key和value作为past_key_values
• 通过最后的LayerNorm。
• 将所有hidden states和attentions可选聚合起来。
• 返回结果,可以是tuple或是NamedTuple。

BaseModelOutputWithPast对象包含了最后的隐藏状态，过去的键值对，所有的隐藏状态和注意力权重。

推理功能

首先是一些类定义：

class BaiChuanForCausalLM(PreTrainedModel):
    def __init__(self, config):
        super().__init__(config)
        self.model = Model(config)

        self.lm_head = nn.Linear(config.hidden_size, config.vocab_size, bias=False)

        # Initialize weights and apply final processing
        self.post_init()

    def get_input_embeddings(self):
        return self.model.embed_tokens

    def set_input_embeddings(self, value):
        self.model.embed_tokens = value

    def get_output_embeddings(self):
        return self.lm_head

    def set_output_embeddings(self, new_embeddings):
        self.lm_head = new_embeddings

    def set_decoder(self, decoder):
        self.model = decoder

    def get_decoder(self):
        return self.model

然后核心是调用model的前向计算：

    def forward(
            self,
            input_ids: torch.LongTensor = None,
            attention_mask: Optional[torch.Tensor] = None,
            position_ids: Optional[torch.LongTensor] = None,
            past_key_values: Optional[List[torch.FloatTensor]] = None,
            inputs_embeds: Optional[torch.FloatTensor] = None,
            labels: Optional[torch.LongTensor] = None,
            use_cache: Optional[bool] = None,
            output_attentions: Optional[bool] = None,
            output_hidden_states: Optional[bool] = None,
            return_dict: Optional[bool] = None,
    ) -> Union[Tuple, CausalLMOutputWithPast]:
...

        output_attentions = output_attentions if output_attentions is not None else self.config.output_attentions
        output_hidden_states = (
            output_hidden_states if output_hidden_states is not None else self.config.output_hidden_states
        )
        return_dict = return_dict if return_dict is not None else self.config.use_return_dict

        # decoder outputs consists of (dec_features, layer_state, dec_hidden, dec_attn)
        outputs = self.model(
            input_ids=input_ids,
            attention_mask=attention_mask,
            position_ids=position_ids,
            past_key_values=past_key_values,
            inputs_embeds=inputs_embeds,
            use_cache=use_cache,
            output_attentions=output_attentions,
            output_hidden_states=output_hidden_states,
            return_dict=return_dict,
        )

        hidden_states = outputs[0]
        logits = self.lm_head(hidden_states)

        loss = None
        if labels is not None:
            # Shift so that tokens < n predict n
            shift_logits = logits[..., :-1, :].contiguous()
            shift_labels = labels[..., 1:].contiguous()
            # Flatten the tokens
            loss_fct = CrossEntropyLoss()
            shift_logits = shift_logits.view(-1, self.config.vocab_size)
            shift_labels = shift_labels.view(-1)
            # Enable model parallelism
            shift_labels = shift_labels.to(shift_logits.device)
            loss = loss_fct(shift_logits, shift_labels)

        if not return_dict:
            output = (logits,) + outputs[1:]
            return (loss,) + output if loss is not None else output

        return CausalLMOutputWithPast(
            loss=loss,
            logits=logits,
            past_key_values=outputs.past_key_values,
            hidden_states=outputs.hidden_states,
            attentions=outputs.attentions,
        )

在前向计算方法中，首先根据输入的参数和模型配置设置一些变量的值，包括：

• input_ids：输入的标识符，通常是一串整数，每个整数代表一个字或词的词嵌入。
• attention_mask：用于指示模型应该关注哪些输入的遮罩。
• position_ids：用于表示输入序列中每个元素的位置的向量。
• past_key_values：在自回归解码过程中，这个参数允许我们缓存过去的键值对以提升效率。
• inputs_embeds：如果提供了这个参数，我们将不再从input_ids生成输入嵌入，而是直接使用这个参数。
• use_cache：这个标志决定我们是否应该使用缓存来加速自回归解码。
• output_attentions：这个标志决定我们是否应该输出注意力权重。
• output_hidden_states：这个标志决定我们是否应该输出隐藏状态。
• return_dict：这个标志决定我们是否应该将输出封装在一个名为BaseModelOutputWithPast的字典中。

如果输入了标签，则计算损失。首先将 logits 和标签进行平移和展平处理，然后使用交叉熵损失函数计算损失。

最后根据返回类型的设置返回不同的结果。如果返回类型为字典，则返回一个包含损失、logits、过去的键值对、隐藏状态和注意力张量的字典。否则，返回一个元组，其中包含损失和其他输出结果。

最后是

    def prepare_inputs_for_generation(
            self, input_ids, past_key_values=None, attention_mask=None, inputs_embeds=None, **kwargs
    ):
        if past_key_values:
            input_ids = input_ids[:, -1:]

        position_ids = kwargs.get("position_ids", None)
        if attention_mask is not None and position_ids is None:
            # create position_ids on the fly for batch generation
            position_ids = attention_mask.long().cumsum(-1) - 1
            position_ids.masked_fill_(attention_mask == 0, 1)
            if past_key_values:
                position_ids = position_ids[:, -1].unsqueeze(-1)

        # if `inputs_embeds` are passed, we only want to use them in the 1st generation step
        if inputs_embeds is not None and past_key_values is None:
            model_inputs = {"inputs_embeds": inputs_embeds}
        else:
            model_inputs = {"input_ids": input_ids}

        model_inputs.update(
            {
                "position_ids": position_ids,
                "past_key_values": past_key_values,
                "use_cache": kwargs.get("use_cache"),
                "attention_mask": attention_mask,
            }
        )
        return model_inputs

这是为Transformer的生成阶段准备输入的代码。

主要逻辑:

1. 如果有past_key_values,截取input_ids的最后一个token作为当前输入。
2. 计算position_ids:

• 如果没有给出,根据attention_mask通过cumsum计算
• 如果有past_key_values,截取position_ids最后一个作为当前位置

3. 构造model_inputs字典:

• 默认使用input_ids作为输入
• 如果给出了inputs_embeds则首步使用它
• 加入position_ids、past_key_values、use_cache等信息

4. 返回model_inputs给模型forward函数使用

这样在生成序列时,可以利用past_key_values缓存,只输入当前时间步的token,而不需要每次传整个序列。
同时动态计算position_ids,mask等信息,方便生成不同长度的序列。

小结

这一节我们观其大略地了解了一下百川模型的模型代码。
细节有很多，我们暂时先不一步一步细讲。讲太细了怕大家局限在某一种实现里面。我们现在优先广度搜索，先多看看各家的开源大模型分别是如何实现的，然后再深入研究其中的细节。

我们也希望能够通过走马观花，先了解它们有哪些共同点，哪些是做大模型自然语言处理时都要做的。