From 40b1ba7a7435acf6e50534413b340eab1132e023 Mon Sep 17 00:00:00 2001 From: Phil Wang <lucidrains@gmail.com> Date: Sun, 10 Apr 2022 21:38:27 -0700 Subject: [PATCH] add noam shazeers "one write head is all you need" one-headed key/values, used in AlphaCode as well as PaLM --- README.md | 38 ++++++++++----------- images/collaborative-attention.png | Bin 164744 -> 0 bytes setup.py | 2 +- x_transformers/x_transformers.py | 51 +++++++++++++---------------- 4 files changed, 41 insertions(+), 50 deletions(-) delete mode 100644 images/collaborative-attention.png diff --git a/README.md b/README.md index aba59e1f..bcf42e40 100644 --- a/README.md +++ b/README.md @@ -443,13 +443,11 @@ model = TransformerWrapper( ) ``` -### Collaborative Attention +### One Write-Head Is All You Need -<img src="./images/collaborative-attention.png" width="500px"></img> +https://arxiv.org/abs/1911.02150 -https://arxiv.org/abs/2006.16362 - -Share redundent learned key/query projections accross heads. Collaborative attention reduces the number of parameters but requires slightly more memory and computation. A good compression factor to match the performance of the vanilla multi-head attention is between 0.25 and 0.5. +Yet another Noam Shazeer paper (he's a legend) that proposes to only have one head for the key / values, but multi-headed queries. This paper was largely ignored for a while, but recently validated at scale in <a href="https://arxiv.org/abs/2203.07814">AlphaCode</a> as well as <a href="https://arxiv.org/abs/2204.02311">PaLM</a>. It has the property of being memory efficient when decoding extremely large language models. You can use it with one keyword argument as shown below. ```python import torch @@ -462,8 +460,7 @@ model = TransformerWrapper( dim = 512, depth = 6, heads = 8, - attn_collab_heads = True, - attn_collab_compression = .3, + attn_one_kv_head = True ) ) ``` @@ -1244,17 +1241,6 @@ generated = model.generate(start_emb, 17) # (17, 777) } ``` -```bibtex -@misc{cordonnier2020multihead, - title = {Multi-Head Attention: Collaborate Instead of Concatenate}, - author = {Jean-Baptiste Cordonnier and Andreas Loukas and Martin Jaggi}, - year = {2020}, - eprint = {2006.16362}, - archivePrefix = {arXiv}, - primaryClass = {cs.LG} -} -``` - ```bibtex @misc{press2020improving, title = {Improving Transformer Models by Reordering their Sublayers}, @@ -1532,9 +1518,19 @@ generated = model.generate(start_emb, 17) # (17, 777) ```bibtex @article{chowdhery2022PaLM, - title = {PaLM: Scaling Language Modeling with Pathways}, - author = {Chowdhery, Aakanksha et al}, - year = {2022} + title = {PaLM: Scaling Language Modeling with Pathways}, + author = {Chowdhery, Aakanksha et al}, + year = {2022} +} +``` + +```bibtex +@article{Shazeer2019FastTD, + title = {Fast Transformer Decoding: One Write-Head is All You Need}, + author = {Noam M. Shazeer}, + journal = {ArXiv}, + year = {2019}, + volume = {abs/1911.02150} } ``` diff --git a/images/collaborative-attention.png b/images/collaborative-attention.png deleted file mode 100644 index 243acd4ebc4834fc37b0243190017cd753f8d925..0000000000000000000000000000000000000000 GIT binary patch literal 0 HcmV?d00001 literal 164744 zcmeFZcRZW>-#BcRYE?^7TPa$5#a^wJqV}v=d(YTJbWye1TD7U#Le(Cjt)gb^9f}e} z1TkYhmvhd2-{(Gkp5OQR_xF08yk5z5CAmJ==kwn4b4BTBsZvrfQV<XjP^vw=uSY;Y z=0re1a+~}D@C!mX&Vqp8vWv5_vW}XvGP{nCr-QSbJpsYPs3c=D6a6l_EVFlS-V6}s zKD-FOI8>T=)s%#=_*v{55^D9Bi+9^C>1fTHUfDb_esJC55_|OPi5`w8715-$_7?oN zUw5a!2`@kD-tXV<%RI}H#%23BZorAd9fXWIx*pUJ{GdT;EOOp^Z>vB2{^ON!V*Q+p zJA^;C?Wm2+&Ben-C(bNp=LlYXXkGjG6OTH8(z3KDbr2IUP<dal>gai1e~loNQ=6lY zEWBvIOsg;D_NMtOzkFe(SL3(6lBuyqKQD86-1wvx<ET7C6wa8`ljJ~{<4v`eO4`i- zBX5hrhF-+#)&(W7)c2=yH&du8Irip*f)Z%!FWbmE2|c~hK^!XDve=7ff_7Y0Oi2g5 zND88SWm@!*yK717Oi=^Z$|Yp1u+nxxqC|(0q2dSI*rrkcuiK;r_hz{IUqu;?FfLeL 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zdXaJQ)c?kN+F4Cv6}Yr`doMz@;Xik6XK=s&)(b{B_Dt(;k*0rsl8_Am7#G)fIF0Z> zZu(ESg6PA$+qr+Pxhp;uy@*;-(XCy*>E9zn7VH1Pv0SAKI;NBJLE5!^5ByJDO!`{# I-`bD<FKAdI{{R30 diff --git a/setup.py b/setup.py index 613a64cb..ce275cce 100644 --- a/setup.py +++ b/setup.py @@ -3,7 +3,7 @@ setup( name = 'x-transformers', packages = find_packages(exclude=['examples']), - version = '0.25.9', + version = '0.26.0', license='MIT', description = 'X-Transformers - Pytorch', author = 'Phil Wang', diff --git a/x_transformers/x_transformers.py b/x_transformers/x_transformers.py index f2e367b6..0575cdd6 100644 --- a/x_transformers/x_transformers.py +++ b/x_transformers/x_transformers.py @@ -316,8 +316,7 @@ def __init__(self, dim): def forward(self, max_seq_len, device): t = torch.arange(max_seq_len, device = device).type_as(self.inv_freq) freqs = torch.einsum('i , j -> i j', t, self.inv_freq) - emb = torch.cat((freqs, freqs), dim=-1) - return rearrange(emb, 'n d -> () () n d') + return torch.cat((freqs, freqs), dim=-1) def rotate_half(x): x = rearrange(x, '... (j d) -> ... j d', j = 2) @@ -326,7 +325,7 @@ def rotate_half(x): def apply_rotary_pos_emb(t, freqs): seq_len = t.shape[-2] - freqs = freqs[:, :, -seq_len:] + freqs = freqs[-seq_len:, :] return (t * freqs.cos()) + (rotate_half(t) * freqs.sin()) # norms @@ -511,8 +510,6 @@ def __init__( causal = False, talking_heads = False, head_scale = False, - collab_heads = False, - collab_compression = .3, sparse_topk = None, use_entmax15 = False, num_mem_kv = 0, @@ -522,7 +519,8 @@ def __init__( zero_init_output = False, max_attend_past = None, qk_norm = False, - scale_init_value = None + scale_init_value = None, + one_kv_head = False ): super().__init__() self.scale = dim_head ** -0.5 @@ -531,24 +529,24 @@ def __init__( self.causal = causal self.max_attend_past = max_attend_past - qk_dim = v_dim = dim_head * heads + q_dim = k_dim = v_dim = out_dim = dim_head * heads - # collaborative heads - self.collab_heads = collab_heads - if self.collab_heads: - qk_dim = int(collab_compression * qk_dim) - self.collab_mixing = nn.Parameter(torch.randn(heads, qk_dim)) + self.one_kv_head = one_kv_head + if one_kv_head: + k_dim = v_dim = dim_head + out_dim = v_dim * heads - self.to_q = nn.Linear(dim, qk_dim, bias = False) - self.to_k = nn.Linear(dim, qk_dim, bias = False) + self.to_q = nn.Linear(dim, q_dim, bias = False) + self.to_k = nn.Linear(dim, k_dim, bias = False) self.to_v = nn.Linear(dim, v_dim, bias = False) self.dropout = nn.Dropout(dropout) + # add GLU gating for aggregated values, from alphafold2 self.to_v_gate = None if gate_values: - self.to_v_gate = nn.Linear(dim, v_dim) + self.to_v_gate = nn.Linear(dim, out_dim) nn.init.constant_(self.to_v_gate.weight, 0) nn.init.constant_(self.to_v_gate.bias, 1) @@ -583,7 +581,7 @@ def __init__( # attention on attention self.attn_on_attn = on_attn - self.to_out = nn.Sequential(nn.Linear(v_dim, dim * 2), nn.GLU()) if on_attn else nn.Linear(v_dim, dim) + self.to_out = nn.Sequential(nn.Linear(out_dim, dim * 2, bias = False), nn.GLU()) if on_attn else nn.Linear(out_dim, dim, bias = False) # init output projection 0 if zero_init_output: @@ -602,7 +600,7 @@ def forward( prev_attn = None, mem = None ): - b, n, _, h, talking_heads, collab_heads, head_scale, scale, device, has_context = *x.shape, self.heads, self.talking_heads, self.collab_heads, self.head_scale, self.scale, x.device, exists(context) + b, n, _, h, talking_heads, head_scale, scale, device, has_context = *x.shape, self.heads, self.talking_heads, self.head_scale, self.scale, x.device, exists(context) kv_input = default(context, x) q_input = x @@ -623,12 +621,10 @@ def forward( k = self.to_k(k_input) v = self.to_v(v_input) - if not collab_heads: - q, k, v = map(lambda t: rearrange(t, 'b n (h d) -> b h n d', h = h), (q, k, v)) - else: - q = einsum('b i d, h d -> b h i d', q, self.collab_mixing) - k = rearrange(k, 'b n d -> b () n d') - v = rearrange(v, 'b n (h d) -> b h n d', h = h) + q = rearrange(q, 'b n (h d) -> b h n d', h = h) + + if not self.one_kv_head: + k, v = map(lambda t: rearrange(t, 'b n (h d) -> b h n d', h = h), (k, v)) if exists(rotary_pos_emb) and not has_context: l = rotary_pos_emb.shape[-1] @@ -652,14 +648,13 @@ def forward( if exists(input_mask): input_mask = F.pad(input_mask, (self.num_mem_kv, 0), value = True) - if collab_heads: - k = k.expand(-1, h, -1, -1) - if self.qk_norm: q, k = map(l2norm, (q, k)) scale = 1 / (self.scale.exp().clamp(min = 1e-2)) - dots = einsum('b h i d, b h j d -> b h i j', q, k) * scale + kv_einsum_eq = 'b h j d' if not self.one_kv_head else 'b j d' + + dots = einsum(f'b h i d, {kv_einsum_eq} -> b h i j', q, k) * scale mask_value = max_neg_value(dots) if exists(prev_attn): @@ -717,7 +712,7 @@ def forward( if talking_heads: attn = self.post_softmax_talking_heads(attn) - out = einsum('b h i j, b h j d -> b h i d', attn, v) + out = einsum(f'b h i j, {kv_einsum_eq} -> b h i d', attn, v) if head_scale: out = out * self.head_scale_params