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20 results for “Random variables”

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cs.LGmath.OCmath.PREmpiricalRecentJun 9, 2026

Data-Driven Dynamic Assortment in Online Platforms: Learning about Two Sides

Rahul Roy, Nur Sunar, Jayashankar M. Swaminathan

This paper studies a dynamic assortment problem on a two-sided service platform with incomplete information and heterogeneous customers, and develops a data-driven algorithm to learn parameters and op…

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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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math.STstat.MEstat.MLRecentJun 4, 2026

Estimation of the sub-Gaussian parameter

Jason Liu, Min Xu, Jinchuan Xing

This paper introduces and analyzes a consistent estimator for the sub-Gaussian parameter ($\xi_*^2$), providing convergence rates and demonstrating its applicability in large-scale biological enrichme…

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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.LGcs.AImath.NARecentMay 28, 2026

Stochastic Lifting for Generating Trajectories of Stochastic Physical Systems

Jules Berman, Tobias Blickhan, Benjamin Peherstorfer

Stochastic Lifting is a novel technique that enhances the modeling of stochastic physical systems by introducing independent random labels to state transitions, allowing a single network to generate d…

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cs.CRcs.NImath.NARecentMay 26, 2026

Shortest Path Problem with Subnormal Gaussian Fuzzy Costs

Hande Günay Akdemir, Murat Moran

This paper proposes a reliability-aware framework to solve the fuzzy shortest path problem in directed graphs, optimizing routes based not only on cost but also on the reliability of the associated fu…

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cs.NEmath.APmath.PRRecentJun 4, 2026

Quantifying Uncertainty In Wide Two-Layer Neural Networks: On The Law Of The Limiting Fluctuation Process

Arnaud Descours, Arnaud Guillin, Geoffrey Lacour, Manon Michel +2 more

This paper develops a novel, computationally efficient method to quantify the uncertainty in wide neural network predictions by characterizing the limiting random fluctuations using stochastic evoluti…

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cs.CRcs.FLcs.MSRecentMar 20, 2026

Cellular Automata based Resource Efficient Maximally Equidistributed Pseudo-Random Number Generators

Bhuvaneswari A, Kamalika Bhattacharjee

The paper proposes a novel set of combined cellular automaton (CA)-based pseudo-random number generators (PRNGs) that overcome the weak equidistribution issues of existing CA-based PRNGs, achieving ma…

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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.CCcs.LGTheoreticalRecentJun 11, 2026

The Program Is Still There: A Conservation Law for Program Discovery

Jorge Miguel Silva

This paper measures the lower bound for the shortest program generating a sequence, proving a conservation law and providing a deterministic engine to recover generating programs for certain sequences…

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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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stat.MLcs.AIcs.LGRecentMay 28, 2026

Improved Distribution Estimation in $\ell_\infty$

Doron Cohen, Aryeh Kontorovich, Yonatan Livshitz

This paper improves the theoretical bounds for estimating discrete probability distributions using the $\ell_\infty$ norm, resolving several open questions in the field.

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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.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.LGcs.AIRecentMay 28, 2026

Quotient DAGs for Off-Policy Evaluation:Forward-Flow Importance Sampling and Exact Slate Propensities

Ziwen Xie, Shaowen Xiang, Hongyu He, Dianbo Liu

The paper introduces a quotient-DAG view to accurately estimate unordered slate propensities for off-policy evaluation, solving the nuisance variance and computational gap inherent in standard importa…

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cs.LGcs.CYRecentJun 1, 2026

Model Multiplicity and Predictive Arbitrariness in Recidivism Risk Assessment

Ashwin Singh, Carlos Castillo

The paper investigates predictive multiplicity and arbitrariness in recidivism risk assessment, finding that similarly accurate models often exhibit high predictive agreement, and proposes a simple po…

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cs.CRquant-phRecentMay 21, 2026

A Formal Basis for Quantum Cryptographic Exposure Measurement under HNDL Threat

Matheus Rufino, Rafael Duarte Marcelino, Julio Smanioto Garcia

The paper develops a structurally justified framework for measuring Quantum Cryptographic Exposure (HNDL) by showing that the compromise probability factorizes into distinct, interacting components ba…

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cs.LGcs.AIRecentMay 29, 2026

From Rashomon Theory to PRAXIS: Efficient Decision Tree Rashomon Sets

Zakk Heile, Hayden McTavish, Varun Babbar, Margo Seltzer +1 more

The paper introduces PRAXIS, a novel algorithm that efficiently approximates the computation of 'Rashomon sets' for decision trees, significantly reducing memory and runtime complexity.

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cs.LGcs.AIRecentMay 27, 2026

Learning Theory of the SVRG: Generalization and Convergence Analysis

Yunwen Lei, Zimeng Wang, Xiaoming Yuan

This paper provides the first non-vacuous generalization analysis for the Stochastic Variance Reduced Gradient (SVRG) method by establishing sharp, data-dependent algorithmic stability bounds, thereby…

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