Introduction to KV Cache Optimization Utilizing Grouped Question Consideration

By Dr. Mike

October 17, 2025

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Desk of Contents

Introduction to KV Cache Optimization Utilizing Grouped Question Consideration
Understanding the KV Cache
Grouped Question Consideration
- What Is Grouped Question Consideration?
- How Grouped Question Consideration Reduces KV Cache?
Implementing KV Caching through Grouped Question Consideration
Abstract
- Quotation Info

Introduction to KV Cache Optimization Utilizing Grouped Question Consideration

Giant language fashions excel at processing in depth contexts, enabling them to generate coherent essays, perform multi-step reasoning, and preserve conversational threads over 1000’s of tokens. Nonetheless, as sequence lengths develop, so do the computational and reminiscence calls for throughout autoregressive decoding. Engineers should steadiness maximizing context window dimension and staying inside {hardware} limits.

On the coronary heart of this problem lies the key-value (KV) cache, which shops each previous key and worth tensor for every consideration head, thereby avoiding redundant computations. Whereas caching accelerates per-token technology, its reminiscence footprint scales linearly with the variety of consideration heads, sequence size, and mannequin depth. Left unchecked, KV cache necessities can balloon to tens of gigabytes, forcing trade-offs in batch dimension or context size.

Grouped Question Consideration (GQA) provides a center floor by reassigning a number of question heads to share a smaller set of KV heads. This easy but highly effective adjustment reduces KV cache dimension and not using a substantial impression on mannequin accuracy.

On this submit, we’ll discover the basics of KV cache, examine consideration variants, derive memory-savings math, stroll via code implementations, and share best-practice suggestions for tuning and deploying GQA-optimized fashions.

This lesson is the first of a 3-part sequence on LLM Inference Optimization — KV Cache:

Introduction to KV Cache Optimization Utilizing Grouped Question Consideration (this tutorial)
KV Cache Optimization through Multi-Head Latent Consideration
KV Cache Optimization through Tensor Product Consideration

To discover ways to optimize KV Cache utilizing Grouped Question Consideration, simply hold studying.

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Understanding the KV Cache

Transformers compute, for every token in a sequence, three projections: queries $Q$ , keys $K$ , and values $V$ . Throughout autoregressive technology, at step $t$ , the mannequin should attend to all earlier tokens $1,dots,t-1$ .

With out caching, one would recompute

$K^{(ell)} = X^{(ell)} W_K,quad V^{(ell)} = X^{(ell)} W_V$

for each layer $ell$ and each previous token — an $O(t)$ value per token that rapidly turns into prohibitive.

KV caching sidesteps this by storing the previous keys and values in reminiscence as they’re first computed, in order that at step $t$ , the mannequin solely must compute

$Q^{(ell)}_t = x_t W_Q$

after which carry out consideration towards the cached ${K^{(ell)}_{1:t-1},V^{(ell)}_{1:t-1}}$ (Figures 1 and a pair of).

As a result of every consideration head $h$ at layer $ell$ maintains its personal key and worth sequences of dimension $d_{text{head}}$ , the cache for that head and layer grows linearly within the context size $T$ .

**Determine 1:** No Distinction with and with out KV Cache for first token (supply: Chan, 2023).

Concretely, if there are $H$ consideration heads, and we retailer each keys and values in 2 bytes (FP16) per component, the per-layer KV cache dimension is

$text{Memory}_{text{layer}} = 2 times H times T times d_{text{head}} times 2 (text{bytes}).$

Over $L$ layers and a batch of dimension $B$ , the entire KV cache requirement turns into

$text{Memory}_{text{total}} = B times L times 2 times H times T times d_{text{head}} times 2.$

Past uncooked storage, every new token’s consideration computation should scan via the complete cached sequence, yielding a compute value proportional to

$text{FLOPs}_{text{per token}} propto H times d_{text{head}} times T.$

Thus, each reminiscence bandwidth (studying $K$ , $V$ ) and computation (dot-product of $Q$ towards all cached keys) scale linearly with the rising context.

KV caching dramatically reduces the work of recomputing ( $K$ ) and ( $V$ ), but it surely additionally makes the cache’s dimension and structure a first-class concern when pushing context home windows into the 1000’s of tokens.

**Determine 2:** From the second token onward, KV Caching makes use of already cached key and worth sequences for computing consideration scores (supply: Chan, 2023).

Grouped Question Consideration

What Is Grouped Question Consideration?

Grouped Question Consideration (GQA) modifies the usual multi-head consideration (MHA) by having a number of question heads share a lowered set of key and worth heads (Determine 3).

In vanilla MHA, the variety of key heads $H_{k}$ and worth heads $H_{v}$ equals the variety of question heads $H_{q}$ :

$H_{k} = H_{v} = H_{q}.$

GQA introduces a grouping issue $G$ in order that

$H_{kv} = displaystylefrac{H_{q}}{G},$

which means every group of $G$ question heads attends to a single shared key and worth head.

Regardless of this sharing, the question projections stay one per head:

$Q_i = X W_Q^{(i)},quad i=1,dots,H_q.$

Keys and values are computed solely per group: for group index $j=bigllfloor(i-1)/Gbigrrfloor+1$ , we now have

$K_j = X W_K^{(j)},quad V_j = X W_V^{(j)}.$

Throughout consideration, every question head $i$ makes use of the shared pair $(K_j, V_j)$ :

$text{Attn}(Q_i, K_j, V_j) =text{softmax} left(dfrac{Q_i K_j^top}{sqrt{d_{text{head}}}}right) V_j.$

By chopping the variety of key and worth projections from $H_q$ to $H_{kv}$ , GQA reduces each the parameter depend in $W_K$ and $W_V$ and the reminiscence wanted to retailer their outputs, whereas leaving the general mannequin dimension and ultimate output projection unchanged.

Primarily based on totally different values of $G$ , we are able to categorize consideration into the next sorts (Desk 1):

**Desk 1:** Comparability of consideration variants based mostly on group dimension G, KV cache utilization, and typical functions (supply: by the writer).

**Determine 3:** Comparability of Groped Question Consideration with Multihead Consideration and Multi-Question Consideration (supply: Shap, 2024).

How Grouped Question Consideration Reduces KV Cache?

The KV cache shops previous key and worth tensors of form $[Ttimes d_{text{head}}]$ for every head, the place $T$ is the present context size, and $b$ is the bytes per component (e.g., 2 for FP16).

In customary MHA, the per-layer cache reminiscence is

$text{Mem}_{text{MHA}} =2 times H_q times T times d_{text{head}} times b.$

Below GQA, solely $H_{kv}=H_q/G$ key and worth heads are saved, giving

$text{Mem}_{text{GQA}} =2 times H_{kv} times T times d_{text{head}} times b =displaystylefrac{2 times H_q times T times d_{text{head}} times b}{G}.$

Thus, the cache dimension shrinks by an element of ( $G$ ):

$displaystylefrac{text{Mem}_{text{GQA}}}{text{Mem}_{text{MHA}}} =displaystylefrac{1}{G}.$

Importantly, the compute value of the dot-product consideration — proportional to $H_q times d_{text{head}} times T$ — stays the identical.

This decouples reminiscence bandwidth from FLOPs, so decreasing the cache immediately interprets to quicker long-context inference with out altering per-token computational load.

Implementing KV Caching through Grouped Question Consideration

On this part, we’ll see how utilizing Grouped Question Consideration improves the inference time and KV Cache dimension. For simplicity, we’ll implement a toy transformer mannequin with 1 layer of a Grouped Question Consideration layer.

Grouped Question Consideration

We are going to begin by implementing the Grouped Question Consideration in PyTorch.

import torch
import torch.nn as nn
import time
import matplotlib.pyplot as plt

class GroupedQueryAttention(nn.Module):
    def __init__(self, hidden_dim, num_heads, group_size=1):
        tremendous().__init__()
        self.hidden_dim = hidden_dim
        self.num_heads = num_heads
        self.group_size = group_size
        self.kv_heads = num_heads // group_size
        self.head_dim = hidden_dim // num_heads

        self.q_proj = nn.Linear(hidden_dim, hidden_dim)
        self.k_proj = nn.Linear(hidden_dim, self.kv_heads * self.head_dim)
        self.v_proj = nn.Linear(hidden_dim, self.kv_heads * self.head_dim)
        self.out_proj = nn.Linear(hidden_dim, hidden_dim)

    def ahead(self, x, kv_cache):
        batch_size, seq_len, _ = x.dimension()

        # Venture queries, keys, values
        q = self.q_proj(x).view(batch_size, seq_len, self.num_heads, self.head_dim).transpose(1, 2)
        okay = self.k_proj(x).view(batch_size, seq_len, self.kv_heads, self.head_dim).transpose(1, 2)
        v = self.v_proj(x).view(batch_size, seq_len, self.kv_heads, self.head_dim).transpose(1, 2)

        # Append to cache
        kv_cache['k'] = torch.cat([kv_cache['k'], okay], dim=2)
        kv_cache['v'] = torch.cat([kv_cache['v'], v], dim=2)

        # Increase KV heads to match question heads
        k_exp = kv_cache['k'].repeat_interleave(self.group_size, dim=1)
        v_exp = kv_cache['v'].repeat_interleave(self.group_size, dim=1)

        # Scaled dot-product consideration
        scores = torch.matmul(q, k_exp.transpose(-2, -1)) / (self.head_dim ** 0.5)
        weights = torch.nn.practical.softmax(scores, dim=-1)
        attn_output = torch.matmul(weights, v_exp)

        # Merge heads
        attn_output = attn_output.transpose(1, 2).contiguous().view(batch_size, seq_len, self.hidden_dim)
        return self.out_proj(attn_output), kv_cache

We outline a grouped question consideration module on Traces 6-13. Right here, we inherit from nn.Module and seize the primary dimensions: hidden_dim, num_heads, and group_size. We compute kv_heads = num_heads // group_size to find out what number of key and worth heads we’ll truly challenge, and head_dim = hidden_dim // num_heads because the dimension per question head.

On Traces 15-18, we instantiate 4 linear layers: one every for projecting queries (q_proj), keys (k_proj), and values (v_proj), and a ultimate out_proj to recombine the attended outputs again into the mannequin’s hidden house.

On Traces 20-27, the ahead methodology begins by unpacking batch_size and seq_len from the enter tensor x. We then challenge x into queries, keys, and values. Queries are formed into (batch, num_heads, seq_len, head_dim) on Line 24, whereas keys and values use (batch, kv_heads, seq_len, head_dim) on Traces 25 and 26.

On Traces 29 and 30, we append these newly computed key and worth tensors alongside the time dimension into kv_cache, preserving all previous context for autoregressive decoding.

Subsequent, we align the cached key and worth heads to match the variety of question heads. On Traces 33 and 34, we use repeat_interleave to broaden every group’s cached ( $K$ , $V$ ) from kv_heads to num_heads so each question head can attend.

On Traces 37-39, we implement scaled dot-product consideration: we compute uncooked scores through q @ k_expᵀ divided by √head_dim, apply softmax to acquire consideration weights, after which multiply by v_exp to provide the attended outputs.

Lastly, on Traces 41-43, we merge the per‐head outputs again to (batch, seq_len, hidden_dim) and go them via out_proj, returning each the up to date consideration output and the expanded kv_cache.

Toy Transformer and Inference

Now that we now have carried out the grouped question consideration module, we’ll implement a 1-layer toy Transformer block that takes a sequence of enter tokens, together with KV Cache, and performs one feedforward go.

class TransformerBlock(nn.Module):
    def __init__(self, hidden_dim, num_heads, group_size=1):
        tremendous().__init__()
        self.attn = GroupedQueryAttention(hidden_dim, num_heads, group_size)
        self.norm1 = nn.LayerNorm(hidden_dim)
        self.ff = nn.Sequential(
            nn.Linear(hidden_dim, hidden_dim * 4),
            nn.ReLU(),
            nn.Linear(hidden_dim * 4, hidden_dim)
        )
        self.norm2 = nn.LayerNorm(hidden_dim)

    def ahead(self, x, kv_cache):
        attn_out, kv_cache = self.attn(x, kv_cache)
        x = self.norm1(x + attn_out)
        ff_out = self.ff(x)
        x = self.norm2(x + ff_out)
        return x, kv_cache

We outline a TransformerBlock class on Traces 1-11, the place the constructor wires collectively a grouped MultiHeadAttention layer (self.attn), two LayerNorms (self.norm1 and self.norm2), and a two-layer feed-forward community (self.ff) that expands the hidden dimension by 4× after which tasks it again.

On Traces 13-18, the ahead methodology takes enter x and the kv_cache, runs x via the eye module to get attn_out and an up to date cache, then applies a residual connection plus layer norm (x = norm1(x + attn_out)).

Subsequent, we feed this via the FFN, add one other residual connection, normalize once more (x = norm2(x + ff_out)), and at last return the reworked hidden states alongside the refreshed kv_cache.

The code under runs an inference to generate a sequence of tokens in an autoregressive method.

def run_inference(block, group_size=1):
    hidden_dim = block.attn.hidden_dim
    num_heads = block.attn.num_heads
    seq_lengths = checklist(vary(1, 101, 10))
    kv_cache_sizes = []
    inference_times = []

    kv_cache = {
        'okay': torch.empty(1, num_heads // group_size, 0, hidden_dim // num_heads),
        'v': torch.empty(1, num_heads // group_size, 0, hidden_dim // num_heads)
    }

    for seq_len in seq_lengths:
        x = torch.randn(1, 1, hidden_dim)  # One token at a time
        begin = time.time()
        _, kv_cache = block(x, kv_cache)
        finish = time.time()

        dimension = kv_cache['k'].numel() + kv_cache['v'].numel()
        kv_cache_sizes.append(dimension)
        inference_times.append(finish - begin)

    return seq_lengths, kv_cache_sizes, inference_times

On Traces 1-6, we outline run_inference, pull out hidden_dim and num_heads, and construct a listing of goal seq_lengths (1 to 101 in steps of 10), together with empty lists for kv_cache_sizes and inference_times.

On Traces 8-11, we initialize kv_cache with empty tensors for 'okay' and 'v' of form [1, num_heads//group_size, 0, head_dim] so it could possibly develop as we generate tokens.

Then, within the loop over every seq_len on Traces 13-17, we simulate feeding one random token x at a time into the transformer block, timing the ahead go, and updating kv_cache.

Lastly, on Traces 19-23, we measure the entire variety of components within the cached keys and values, append that to kv_cache_sizes, file the elapsed time to inference_times, after which return all three lists for plotting or evaluation.

Experiments and Evaluation

Lastly, we’ll check our implementation of grouped question consideration with totally different group sizes $G$ .

For every group dimension, we’ll plot the scale of the KV Cache and inference time as a perform of sequence size.

plt.determine(figsize=(12, 5))
plt.subplot(1, 2, 1)

for group_size in [1, 2, 4, 8, 16, 32]:
    gqa_block = TransformerBlock(hidden_dim=4096, num_heads=32, group_size=group_size)
    seq_lengths, sizes, instances = run_inference(gqa_block, group_size=group_size)
    plt.plot(seq_lengths, sizes, label="GQA : {}".format(group_size))

plt.xlabel("Generated Tokens")
plt.ylabel("KV Cache Dimension")
plt.title("KV Cache Progress")
plt.legend()

plt.subplot(1, 2, 2)
for group_size in [1, 2, 4, 8, 16, 32]:
    gqa_block = TransformerBlock(hidden_dim=4096, num_heads=32, group_size=group_size)
    seq_lengths, sizes, instances = run_inference(gqa_block, group_size=group_size)
    plt.plot(seq_lengths, instances, label="GQA : {}".format(group_size))


plt.xlabel("Generated Tokens")
plt.ylabel("Inference Time (s)")
plt.title("Inference Velocity")

plt.legend()

plt.tight_layout()
plt.present()

On Traces 1 and a pair of, we arrange a 12×5-inch determine and declare the primary subplot for KV cache development.

Between Traces 4-7, we loop over numerous group_size values, instantiate a TransformerBlock for every, name run_inference to assemble sequence lengths and cache sizes, and plot the KV cache dimension versus the variety of generated tokens.

On Traces 14-18, we change to the second subplot, repeat the loop to gather and plot inference instances towards token counts, and at last, on Traces 21-28, we set axis labels, add a title and legend, tighten the structure, and name plt.present() to render each charts (Determine 4).

**Determine 4:** Discount in KV cache dimension and inference time through the use of Group Question Consideration (supply: picture by the writer).

As proven in Determine 4, utilizing grouped question consideration considerably reduces the KV cache dimension and inference time in comparison with vanilla multihead self-attention (group dimension 1).

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Abstract

We start by framing the problem of lengthy‐context inference in transformer fashions. As sequence lengths develop, storing previous key and worth tensors within the KV cache turns into a significant reminiscence and bandwidth bottleneck. To deal with this, we introduce Grouped Question Consideration (GQA), an architectural modification that permits a number of question heads to share a smaller set of key-value heads, thereby decreasing the cache footprint with minimal impression on accuracy.

Subsequent, we unpack the mechanics of KV caching — why transformers retailer per‐head key and worth sequences, how cache dimension scales with head depend $H$ , context size $T$ , and mannequin depth $L$ , and the ensuing latency strain from studying giant caches every token. We then formally outline GQA, displaying how the grouping issue $G$ reduces the variety of KV projections from $H$ to $H/G$ and yields a $1/G$ discount in cache reminiscence. We illustrate this with equations and intuitive diagrams, contrasting vanilla multi‐head consideration, multi‐question consideration, and the GQA center floor.

Lastly, we stroll via a hands-on implementation: constructing a toy TransformerBlock in PyTorch that helps arbitrary GQA groupings, wiring up KV cache development, and operating inference experiments throughout group sizes. We plot how cache dimension and per-token inference time evolve for $G in {1,2,4,8,16,32}$ , analyze the memory-latency trade-off, and distill sensible tips for selecting $G$ and integrating GQA into real-world LLM deployments.

Quotation Info

Mangla, P. “Introduction to KV Cache Optimization Utilizing Grouped Question Consideration,” PyImageSearch, P. Chugh, S. Huot, A. Sharma, and P. Thakur, eds., 2025, https://pyimg.co/b241m

@incollection{Mangla_2025_intro-to-kv-cache-optimization-using-grouped-query-attention,
  writer = {Puneet Mangla},
  title = {{Introduction to KV Cache Optimization Utilizing Grouped Question Consideration}},
  booktitle = {PyImageSearch},
  editor = {Puneet Chugh and Susan Huot and Aditya Sharma and Piyush Thakur},
  12 months = {2025},
  url = {https://pyimg.co/b241m},
}

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Introduction to KV Cache Optimization Utilizing Grouped Question Consideration

Introduction to KV Cache Optimization Utilizing Grouped Question Consideration

In search of the supply code to this submit?

Understanding the KV Cache

Grouped Question Consideration

What Is Grouped Question Consideration?

How Grouped Question Consideration Reduces KV Cache?

Implementing KV Caching through Grouped Question Consideration

Grouped Question Consideration

Toy Transformer and Inference

Experiments and Evaluation

What’s subsequent? We suggest PyImageSearch College.

Abstract

Quotation Info

Obtain the Supply Code and FREE 17-page Useful resource Information

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