Statistical Foundations of DIME: Risk Estimation for Practical Index Selection

Fuente: arXiv
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Autori principali: D'Erasmo, Giulio, Campagnano, Cesare, Mallia, Antonio, Brutti, Pierpaolo, Tonellotto, Nicola, Silvestri, Fabrizio
Natura: Preprint
Pubblicazione: 2026
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author D'Erasmo, Giulio
Campagnano, Cesare
Mallia, Antonio
Brutti, Pierpaolo
Tonellotto, Nicola
Silvestri, Fabrizio
author_facet D'Erasmo, Giulio
Campagnano, Cesare
Mallia, Antonio
Brutti, Pierpaolo
Tonellotto, Nicola
Silvestri, Fabrizio
contents High-dimensional dense embeddings have become central to modern Information Retrieval, but many dimensions are noisy or redundant. Recently proposed DIME (Dimension IMportance Estimation), provides query-dependent scores to identify informative components of embeddings. DIME relies on a costly grid search to select a priori a dimensionality for all the query corpus's embeddings. Our work provides a statistically grounded criterion that directly identifies the optimal set of dimensions for each query at inference time. Experiments confirm achieving parity of effectiveness and reduces embedding size by an average of $\sim50\%$ across different models and datasets at inference time.
format Preprint
id arxiv_https___arxiv_org_abs_2601_05649
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle Statistical Foundations of DIME: Risk Estimation for Practical Index Selection
D'Erasmo, Giulio
Campagnano, Cesare
Mallia, Antonio
Brutti, Pierpaolo
Tonellotto, Nicola
Silvestri, Fabrizio
Information Retrieval
High-dimensional dense embeddings have become central to modern Information Retrieval, but many dimensions are noisy or redundant. Recently proposed DIME (Dimension IMportance Estimation), provides query-dependent scores to identify informative components of embeddings. DIME relies on a costly grid search to select a priori a dimensionality for all the query corpus's embeddings. Our work provides a statistically grounded criterion that directly identifies the optimal set of dimensions for each query at inference time. Experiments confirm achieving parity of effectiveness and reduces embedding size by an average of $\sim50\%$ across different models and datasets at inference time.
title Statistical Foundations of DIME: Risk Estimation for Practical Index Selection
topic Information Retrieval
url https://arxiv.org/abs/2601.05649