ManifoldKV: Training-Free KV Cache Compression via Euclidean Outlier Detection

Fuente: arXiv
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Hauptverfasser: Datta, Debajyoti, Neeraj, Trishala, Paudel, Bibek, Sharma, Vyom, Mukherjee, Subhabrata
Format: Preprint
Veröffentlicht: 2026
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author Datta, Debajyoti
Neeraj, Trishala
Paudel, Bibek
Sharma, Vyom
Mukherjee, Subhabrata
author_facet Datta, Debajyoti
Neeraj, Trishala
Paudel, Bibek
Sharma, Vyom
Mukherjee, Subhabrata
contents Long-context inference is constrained by KV-cache memory, which grows linearly with sequence length; KV-cache compression therefore hinges on reliably selecting which past tokens to retain. Most geometry-based eviction methods score keys by cosine similarity to a global centroid, but cosine is scale-invariant and can discard magnitude cues that distinguish semantically salient tokens. We propose ManifoldKV, a training-free scorer that ranks tokens by Euclidean distance to the key centroid, capturing both angular and radial deviations. On the RULER benchmark, ManifoldKV achieves 95.7% accuracy at 4K-16K contexts with 20% compression; matching the best geometric baseline while improving robustness in two regimes where cosine scoring fails. First, on multi-key retrieval, ManifoldKV reduces directional collisions, achieving 92.4% vs KeyDiff's 77.0% (+15.4 points) on 3-key NIAH at 50% compression. Second, to address dilution and performance collapse of global centroids at 64K context, we introduce WindowedManifoldKV, which restores accuracy to 84.3% at 25% compression, a 49-point recovery over global L2 and +3.2 points over KeyDiff. The method requires only 3 lines of code and works across 4 architectures without tuning.
format Preprint
id arxiv_https___arxiv_org_abs_2602_08343
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle ManifoldKV: Training-Free KV Cache Compression via Euclidean Outlier Detection
Datta, Debajyoti
Neeraj, Trishala
Paudel, Bibek
Sharma, Vyom
Mukherjee, Subhabrata
Machine Learning
Artificial Intelligence
Computation and Language
Long-context inference is constrained by KV-cache memory, which grows linearly with sequence length; KV-cache compression therefore hinges on reliably selecting which past tokens to retain. Most geometry-based eviction methods score keys by cosine similarity to a global centroid, but cosine is scale-invariant and can discard magnitude cues that distinguish semantically salient tokens. We propose ManifoldKV, a training-free scorer that ranks tokens by Euclidean distance to the key centroid, capturing both angular and radial deviations. On the RULER benchmark, ManifoldKV achieves 95.7% accuracy at 4K-16K contexts with 20% compression; matching the best geometric baseline while improving robustness in two regimes where cosine scoring fails. First, on multi-key retrieval, ManifoldKV reduces directional collisions, achieving 92.4% vs KeyDiff's 77.0% (+15.4 points) on 3-key NIAH at 50% compression. Second, to address dilution and performance collapse of global centroids at 64K context, we introduce WindowedManifoldKV, which restores accuracy to 84.3% at 25% compression, a 49-point recovery over global L2 and +3.2 points over KeyDiff. The method requires only 3 lines of code and works across 4 architectures without tuning.
title ManifoldKV: Training-Free KV Cache Compression via Euclidean Outlier Detection
topic Machine Learning
Artificial Intelligence
Computation and Language
url https://arxiv.org/abs/2602.08343