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网上大多分析LLM参数的文章都比较粗粒度，对于LLM的精确部署不太友好，在这里记录一下分析LLM参数的过程。

首先看QKV。先上transformer原文

也就是说，当h（heads） = 1时，在默认情况下，$W_i^Q$、$W_i^K$、$W_i^V$都是2维方阵，方阵维度是$d_{model}\times d_{model}$.

结合llama源码 (https://github.com/facebookresearch/llama/blob/main/llama/model.py)

class ModelArgs:dim: int = 4096n_layers: int = 32n_heads: int = 32n_kv_heads: Optional[int] = Nonevocab_size: int = -1  # defined later by tokenizermultiple_of: int = 256  # make SwiGLU hidden layer size multiple of large power of 2ffn_dim_multiplier: Optional[float] = Nonenorm_eps: float = 1e-5max_batch_size: int = 32max_seq_len: int = 2048
# ...class Attention(nn.Module):"""Multi-head attention module."""def __init__(self, args: ModelArgs):"""Initialize the Attention module.Args:args (ModelArgs): Model configuration parameters.Attributes:n_kv_heads (int): Number of key and value heads.n_local_heads (int): Number of local query heads.n_local_kv_heads (int): Number of local key and value heads.n_rep (int): Number of repetitions for local heads.head_dim (int): Dimension size of each attention head.wq (ColumnParallelLinear): Linear transformation for queries.wk (ColumnParallelLinear): Linear transformation for keys.wv (ColumnParallelLinear): Linear transformation for values.wo (RowParallelLinear): Linear transformation for output.cache_k (torch.Tensor): Cached keys for attention.cache_v (torch.Tensor): Cached values for attention."""super().__init__()self.n_kv_heads = args.n_heads if args.n_kv_heads is None else args.n_kv_headsmodel_parallel_size = fs_init.get_model_parallel_world_size()self.n_local_heads = args.n_heads // model_parallel_sizeself.n_local_kv_heads = self.n_kv_heads // model_parallel_sizeself.n_rep = self.n_local_heads // self.n_local_kv_headsself.head_dim = args.dim // args.n_heads

计算出
self.n_kv_heads = h = 32
self.head_dim = 4096/32=128
所以$W_i^Q$、$W_i^K$、$W_i^V$ 大小都为(4096, 128). $Q\times K^T$后，大小为(4096, 4096)，除法scale+softmax后不变，然后$\times V$，大小恢复变为(4096, 128)。Attention不改变大小（在默认$d_k=d_v$情况下）。

经过Cancat，分开的头又合并，大小变为(4096, 4096)方阵，经过$W^O$全连接，还是(4096, 4096)方阵。

然后看Feed forward.根据源码，

class TransformerBlock(nn.Module):def __init__(self, layer_id: int, args: ModelArgs):"""Initialize a TransformerBlock.Args:layer_id (int): Identifier for the layer.args (ModelArgs): Model configuration parameters.Attributes:n_heads (int): Number of attention heads.dim (int): Dimension size of the model.head_dim (int): Dimension size of each attention head.attention (Attention): Attention module.feed_forward (FeedForward): FeedForward module.layer_id (int): Identifier for the layer.attention_norm (RMSNorm): Layer normalization for attention output.ffn_norm (RMSNorm): Layer normalization for feedforward output."""super().__init__()self.n_heads = args.n_headsself.dim = args.dimself.head_dim = args.dim // args.n_headsself.attention = Attention(args)self.feed_forward = FeedForward(dim=args.dim,hidden_dim=4 * args.dim,multiple_of=args.multiple_of,ffn_dim_multiplier=args.ffn_dim_multiplier,)self.layer_id = layer_idself.attention_norm = RMSNorm(args.dim, eps=args.norm_eps)self.ffn_norm = RMSNorm(args.dim, eps=args.norm_eps)def forward(self,x: torch.Tensor,start_pos: int,freqs_cis: torch.Tensor,mask: Optional[torch.Tensor],):"""Perform a forward pass through the TransformerBlock.Args:x (torch.Tensor): Input tensor.start_pos (int): Starting position for attention caching.freqs_cis (torch.Tensor): Precomputed cosine and sine frequencies.mask (torch.Tensor, optional): Masking tensor for attention. Defaults to None.Returns:torch.Tensor: Output tensor after applying attention and feedforward layers."""h = x + self.attention.forward(self.attention_norm(x), start_pos, freqs_cis, mask)out = h + self.feed_forward.forward(self.ffn_norm(h))return out

multiattention layer过后，经过加法和norm（RMS norm），进入feed_forward全连接。全连接层第一个维度是args.dim=4096, 第二个维度（hidden_dim）是4 * args.dim = 4*4096=16384 (目前还有问题）