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20 results for “statistical properties”

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math.STcs.LGmath.PREmpiricalRecentJun 4, 2026

How abundant are good interpolators?

August Y. Chen, Ahmed El Alaoui

This paper establishes a large deviation principle for the generalization error of interpolating classifiers in the overparametrized regime.

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cs.DMTheoreticalRecentJun 11, 2026

Frequencies of Patterns in Smooth Sequences Over the Alphabet $\{1,3\}$

Damien Jamet, Irène Marcovici, Léo Poirier, Thierry de la Rue

This paper uses ergodic theory to study statistical properties of smooth sequences over the odd alphabet {1,3}, defining a notion of type for those sequences and proving unique ergodicity for subshift…

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cs.CRRecentMay 18, 2026

Structural Analysis of Cryptographic Sequences using Stringology-Based Fingerprinting

Victor Kebande

The paper introduces a stringology-based fingerprinting (SBF) framework to structurally analyze cryptographic sequences, demonstrating that pattern analysis can reveal measurable structural signatures…

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cs.CERecentMay 27, 2026

Modelling the effect of fiber distribution on the transverse mechanical characteristics of unidirectionally reinforced continuous-fiber composite

Sergejs Tarasovs, Janis Modniks, Andrea Bercini Martins, Christina Scheffler +1 more

The study models how fiber arrangement affects the transverse mechanical properties of continuous-fiber composites, finding that clustering increases stiffness but decreases tensile strength compared…

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cs.CRRecentApr 1, 2026

Preserving Target Distributions With Differentially Private Count Mechanisms

Nitin Kohli, Paul Laskowski

The paper proposes a novel two-stage framework to differentially privatize tables of counts by focusing on preserving the accuracy of the underlying count distribution, introducing the specialized cyc…

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cs.CRmath.FARecentMay 3, 2026

Limit Properties at Critical Indices of Linear Canonical Riesz Potentials and Their Applications to Security of Multi-Image Encryption

Zunwei Fu, Dachun Yang, Shuhui Yang

The paper introduces the linear canonical Riesz potential (LCRP) and analyzes its convergence properties, leveraging these findings to propose a novel, secure, and efficient asymmetric cascaded LCRP m…

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cs.CRcs.PLRecentMay 28, 2026

A Bayesian Approach to Membership Inference for Statistical Release

Lisa Oakley, Sam Stites, Cameron Moy, Steven Holtzen +2 more

This paper proposes a Bayesian framework to enhance membership inference attacks against released statistics by incorporating prior knowledge about the population's attribute dependency structure, out…

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cs.DScs.CRmath.NTRecentMay 17, 2026

Module Lattice Security (Part III): Structured CVP Distance on the Log-Unit Lattice

Ming-Xing Luo

The paper analyzes the structured CVP distance on the log-unit lattice of cyclotomic fields, significantly reducing the conjectured CDPR factor for the ML-KEM cryptosystem from exponential to sub-poly…

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cs.CRRecentMay 25, 2026

Efficient and Privacy-Preserving Distribution Statistics Analytics on Mobile Spatial Data

Xuhao Ren, Mingyang Zhao, Ruichen Zhang, Liehuang Zhu +1 more

The paper proposes eSpat-B and eSpat+ systems to enable efficient and privacy-preserving distribution statistics analysis on massive, dynamic mobile spatial data.

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math.OCcs.AIcs.NERecentMay 27, 2026

Preference-Shaped Expected Hypervolume and R2 Improvement: Exact Computation and Monotonicity

Michael T. M. Emmerich

The paper analyzes preference-shaped expected improvement criteria for Bayesian multiobjective optimization, precisely characterizing when transformations preserve key properties like exact computatio…

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cond-mat.stat-mechcs.AIphysics.comp-phRecentMay 27, 2026

Thermodynamic properties of chemically disordered compounds via AI-driven estimation of partition function with the PULSE method

Baptiste Bernard, Luca Messina, Eiji Kawasaki, Emeric Bourasseau

The paper introduces an improved PULSE method to efficiently estimate the thermodynamic properties of chemically disordered compounds by sampling and estimating the system's partition function, demons…

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cs.ITcs.GTTheoreticalRecentJun 12, 2026

The Algebraic Limits of Polynomial Information Measures

Yuqing Kong

This paper studies the existence of polynomial measures of dependence between two random variables that satisfy the data processing inequality and vanish on independence. It proves that no such polyno…

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cs.DScs.CCTheoreticalRecentJun 11, 2026

Sketching Intersection Profiles: A Simple Proof and Three Applications

Flavio Chierichetti, Mirko Giacchini, Ravi Kumar, Alessandro Panconesi +2 more

This paper settles the complexity of three sketching problems in graphs and distributions.

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cs.CRRecentJun 4, 2026

Towards Worst-case Hardness for Low-Noise LPN

Divesh Aggarwal, Rishav Gupta, Hai Hoang Nguyen, Kel Zin Tan +1 more

The paper presents a new worst-case to average-case reduction for the Learning Parity with Noise (LPN) problem, achieving hardness for inverse-polynomial noise rates previously unattainable.

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stat.MLcs.LGRecentJun 1, 2026

ShaplEIG: Bayesian Experimental Design for Shapley Value Estimation

David Rundel, Fabian Fumagalli, Maximilian Muschalik, Bernd Bischl +1 more

ShaplEIG introduces a Bayesian experimental design framework to efficiently and adaptively estimate Shapley values by minimizing the number of required costly function evaluations.

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cs.DMcs.ITTheoreticalRecentJun 11, 2026

Entropic Generation of Binary Words

Olivier Bodini, Francis Durand

This paper introduces a novel algorithm for generating k Hamming weight binary words in linear time while minimizing random bit consumption.

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cs.AIcs.CLRecentMay 27, 2026

The Importance of Being Statistically Earnest: A Critical Re-evaluation of GSM-Symbolic

Dominika Agnieszka Długosz, Arlindo Oliveira, Natalia Díaz-Rodríguez

The paper challenges the conclusion that LLMs lack reasoning by demonstrating that reported performance drops on GSM-Symbolic are often statistically weak and partially attributable to dataset biases,…

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cs.LGcs.AIcs.CVRecentMay 28, 2026

How Much Is a Dataset Worth? Scaling Laws, the Vendi Score, and Matrix Spectral Functions

Jeff A. Bilmes, Gantavya Bhatt, Arnav M. Das

The paper introduces and analyzes several novel data appraisal metrics, including the Vendi Score and matrix spectral functions, demonstrating that efficient optimization techniques make these metrics…

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cs.CRcs.DBRecentApr 8, 2026

Interpreting the Error of Differentially Private Median Queries through Randomization Intervals

Thomas Humphries, Tim Li, Shufan Zhang, Karl Knopf +1 more

The paper introduces PostRI, a novel method that allows for computing a Randomization Interval (RI) for differentially private median queries after the median has already been estimated, significantly…

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cs.ITcs.CRRecentMay 28, 2026

Secure Distributed Hypothesis Testing

Gowtham R. Kurri, Varun Narayanan, Vinod M. Prabhakaran, K. R. Sahasranand

The paper addresses secure distributed hypothesis testing, proving impossibility in the standard setting and achieving secure testing for simple and general classes by incorporating a shared secret ke…

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