{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "In this notebook, we explain the details of our `ExpectedAttentionPress`" ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [], "source": [ "import requests\n", "import numpy as np\n", "from bs4 import BeautifulSoup\n", "import matplotlib.pyplot as plt\n", "\n", "import torch\n", "from transformers import pipeline\n", "from transformers.modeling_attn_mask_utils import AttentionMaskConverter\n", "\n", "\n", "from kvpress import ExpectedAttentionPress" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Key observation\n", "\n", "We start by observing that the hidden states in a transformer model follow a unimodal distribution. This is not true for the very first layers (for instance, layer #0 is simply the distribution of token embeddings) but it is true for the deeper layers (e.g. starting layer #2)" ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "You are attempting to use Flash Attention 2.0 with a model not initialized on GPU. Make sure to move the model to GPU after initializing it on CPU with `model.to('cuda')`.\n" ] }, { "data": { "application/vnd.jupyter.widget-view+json": { "model_id": "488d2f8788f44f56be4296f0958d9aa4", "version_major": 2, "version_minor": 0 }, "text/plain": [ "Loading checkpoint shards: 0%| | 0/4 [00:00" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Display hidden states distribution\n", "\n", "layer_idx = 12\n", "n_dims = 32\n", "n_sink = 4 # we don't display the first 4 tokens due to the sink attention phenomenon\n", "\n", "H = outputs.hidden_states[layer_idx][0, n_sink:]\n", "H = H.cpu().float().numpy().T\n", "dims = np.random.randint(0, len(H), size=n_dims)\n", "H = H[dims]\n", "\n", "x_min = np.percentile(H, 0.1)\n", "x_max = np.percentile(H, 99.9)\n", "\n", "plt.figure(figsize=(10, 3))\n", "for i in range(n_dims):\n", " y, bin_edges = np.histogram(H[i], bins=50, density=True, range=(x_min, x_max))\n", " x = (bin_edges[1:] + bin_edges[:-1]) / 2\n", "\n", " plt.fill_between(x, y + i, i, zorder=n_dims - i, color=\"#76B900\")\n", " plt.plot(x, y + i, color=\"black\", zorder=n_dims - i)\n", " plt.axis(\"off\")\n", "plt.title(f\"Hidden state distributions, layer #{layer_idx}\");" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Consequence\n", "\n", "Let $t_1$, ..., $t_n$ tokens associated with a prompt (pre-filling phase) and $K, V \\in \\mathbb{R}^{n,d}$ the associated keys and values in a given attention head. We remind that for any query $q$, $$Attention(q, K, V) = \\sum_i \\frac{e^{q \\cdot K_i/\\sqrt{d}}}{\\sum_j e^{q \\cdot K_j/\\sqrt{d}}} \\cdot V_i$$\n", "\n", "For any position $j>n$ we have $q = R_{\\theta_j} \\cdot W_Q \\cdot h$ where $R_{\\theta_j}$ is the RoPE rotation matrix at position $j$, $W_Q$ is the query weight matrix, and $h$ is the hidden state after layer norm.\n", "\n", "If the distribution of hidden states $h$ is gaussian with $$h \\sim \\mathcal{N}(μ, Σ)$$ then the distribution of queries at position $j$ is also gaussian: \n", "$$q_j \\sim \\mathcal{N}(μ_j, Σ_j)$$\n", "$$μ_j = R_{\\theta_j} \\cdot W_Q \\cdot μ$$\n", "$$ Σ_j = (R_{\\theta_j} \\cdot W_Q) \\cdot Σ \\cdot (W_Q \\cdot R_{\\theta_j})^T$$\n", "\n", "This implies that for any key $K_i$ with $i \\le n $, we can compute $a_i(j)$, the expected future attention weigth at position $j$ with $$z_i(j) = E_{q \\sim \\mathcal{N}(μ_j, Σ_j)}[e^{q \\cdot K_i /\\sqrt{d}}] = e^{K_i \\cdot \\mu_j/\\sqrt{d} + K_i \\cdot \\Sigma_j \\cdot K_i/2d}$$ $$a_i(j) = \\frac{z_i(j)}{\\sum_{i'=1}^n z_{i'}(j)}$$\n", "\n", "In our `ExpectedAttentionPress`, we simply replace $R = \\frac{1}{n_{f}} \\sum_{j=n+1}^{n+n_{f}} R_{\\theta_j}$ and use the formula above to compute the expected attention weights. Note that this is slightly abusive (the covariance matrix is not exactly the ones of the future queries) but works well in practice." ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Expected attention is computed using the first 5000 tokens and evaluated on the last 3743 tokens\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "The attention layers in this model are transitioning from computing the RoPE embeddings internally through `position_ids` (2D tensor with the indexes of the tokens), to using externally computed `position_embeddings` (Tuple of tensors, containing cos and sin). In v4.46 `position_ids` will be removed and `position_embeddings` will be mandatory.\n" ] } ], "source": [ "# Correlation between expected attention and observed attention\n", "\n", "layer_idx = 5\n", "n_train = 5000\n", "\n", "print(\n", " f\"Expected attention is computed using the first {n_train} tokens and evaluated on the last {n_tokens - n_train} tokens\"\n", ")\n", "\n", "# Changing n_future_positions can have a dramatic impact on the correlation because\n", "# most of the attention sparsity matrix is in fact explained by RoPE artifacts\n", "press = ExpectedAttentionPress(use_vnorm=False, n_future_positions=n_tokens - n_train)\n", "\n", "keys, values = outputs.past_key_values[layer_idx]\n", "decoder_layer = pipe.model.model.layers[layer_idx]\n", "self_attn = decoder_layer.self_attn\n", "self_attn.rotary_emb = pipe.model.model.rotary_emb\n", "attention_mask = AttentionMaskConverter(is_causal=True).to_causal_4d(1, n_tokens, n_tokens, pipe.dtype, pipe.device)\n", "\n", "with torch.no_grad():\n", " # Compute expected attention (need lot of vRAM to keep all tokens)\n", " hidden_states = decoder_layer.input_layernorm(outputs.hidden_states[layer_idx])\n", " _attn_implementation = self_attn.config._attn_implementation\n", " self_attn.config._attn_implementation = \"eager\"\n", " position_ids = torch.arange(tokens.size(1), device=device).unsqueeze(0)\n", " position_embeddings = self_attn.rotary_emb(hidden_states, position_ids)\n", " attn_weights = self_attn(hidden_states, attention_mask=attention_mask, position_embeddings=position_embeddings, output_attentions=True)[1][0]\n", " self_attn.config._attn_implementation = _attn_implementation\n", "\n", " # Compute scores on the first n_train tokens\n", " scores = press.score(\n", " self_attn, hidden_states[:, :n_train], keys[:, :, :n_train], values[:, :, :n_train], None, None\n", " )[0]" ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "text/plain": [ "Text(0, 0.5, 'Average attention loss on the last 3743 tokens')" ] }, "execution_count": 8, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "head_idx = 16\n", "\n", "# Exclude sink tokens from calculation\n", "kv_head_idx = head_idx // self_attn.num_key_value_groups\n", "observed_attention = attn_weights[head_idx, n_train:, press.n_sink : n_train].mean(0).float().cpu()\n", "expected_attention = scores[kv_head_idx, press.n_sink :].float().cpu()\n", "\n", "# Display correlation between expected and observed attention\n", "plt.scatter(expected_attention, observed_attention, s=1)\n", "plt.xscale(\"log\")\n", "plt.yscale(\"log\")\n", "plt.xlabel(\"Expected attention\")\n", "plt.ylabel(f\"Observed attention\\nmeasured on the last {n_tokens - n_train} tokens\")\n", "plt.title(f\"Layer #{layer_idx}, head #{head_idx}\")\n", "plt.show()\n", "\n", "# We can also measure if we pruned the right tokens by measuring the average attention loss on the test tokens\n", "# The optimal pruning curve shows that pruning alone is not enough to achieve high KV cache compression ratio\n", "scale = observed_attention.sum()\n", "knorm = -keys[0, kv_head_idx, press.n_sink:n_train:].norm(dim=-1).float().cpu()\n", "random = torch.randperm(n_train - press.n_sink)\n", "for x, label in zip([random, knorm, expected_attention, observed_attention], [\"Random score\", \"Keys norm\", \"Expected Attention Pruning\", \"Optimal pruning\"]):\n", " indices = torch.sort(x).indices\n", " plt.plot(torch.cumsum(observed_attention[indices], dim=0) / scale, label=label)\n", "plt.legend()\n", "plt.grid()\n", "plt.xlabel(f\"Number of pruned tokens (/{n_train})\")\n", "plt.ylabel(f\"Average attention loss on the last {n_tokens - n_train} tokens\")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Adding the value norm\n", "\n", "In a transformer, $$Attention(Q,K,V) = softmax(QK^T/\\sqrt{d})V = \\sum_i a_i V_i $$\n", "\n", "Hence, by pruning key-values pairs only based on the expected value of $a_i$, we might remove some pairs with low $a_i$ but high $a_i ||V_i||_2$ . When using `use_vnorm=True` in `ExpectedAttentionPress`, we multiply $score(i)$ by $||V_i||_2$. Note that this effect is small as $a_i$ vary from $1$ to $10^5$ (because of the exponential) while $||V_i||_2$ varies from $1$ to $10^2$ (depending on the models and layers)." ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "tensor(9344., device='cuda:0', dtype=torch.bfloat16)\n", "tensor(48.6761)\n" ] } ], "source": [ "vnorm = values[..., press.n_sink:n_train].norm(dim=-1).float().cpu()\n", "print(scores.max() / scores.min())\n", "print(vnorm.max() / vnorm.min())" ] } ], "metadata": { "kernelspec": { "display_name": ".venv", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.10.12" } }, "nbformat": 4, "nbformat_minor": 2 }