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20 results for “Local differential estimation”

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cs.ITcs.CRcs.LGRecentMay 28, 2026

Local Differential Privacy with Correlated Noise Achieves Central-DP Optimal Cost

Madhura Pathegama, Srikanth Avasarala, Viveck R. Cadambe, Juba Ziani

The paper demonstrates that by introducing carefully designed correlations among locally added noise variables, local differential privacy mechanisms can achieve an estimation cost matching the optima…

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cs.LGmath.OCstat.MLTheoreticalRecentJul 16, 2026

What's in a Smoothness Constant? Tighter Rates for Local SGD with Bounded Second-order Heterogeneity

Kumar Kshitij Patel, Rustem Islamov, Sebastian U Stich, Aurelien Lucchi +2 more

This paper proves the conjecture that Local SGD outperforms Mini-batch SGD under bounded second-order heterogeneity for general convex objectives, improving the convergence guarantee and lower bounds.

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math.STstat.MEstat.MLTheoreticalRecentJul 23, 2026

Optimal use of a black-box learner in semiparametric estimation

Yihong Gu

This paper proposes a novel estimator for the target linear coefficient in a partial linear model with black-box nuisance estimation and establishes its unimprovable error rate.

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cs.CRcs.DScs.LGRecentMay 27, 2026

Privately Estimating Monotone Statistics in Polynomial Time

Gavin Brown, Ephraim Linder, Mahbod Majid, Vikrant Singhal

The paper introduces novel, efficient differentially private algorithms for estimating monotone statistics, significantly improving sample complexity compared to existing methods.

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econ.EMmath.STstat.METheoreticalRecentJul 27, 2026

Debiased Machine Learning: Identification, Estimation, and Shape Constraints

Qihui Chen, Ka Yan Cheng, Zheng Fang

This paper develops a framework for identifying and estimating parameters of interest in automatic debiased machine learning using a Riesz representer, which is identified when it uniquely optimizes a…

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cs.LGmath.OCstat.MLTheoreticalRecentJun 29, 2026

Curvature-Weighted Gradient Diversity: A Noise Measure for Geometry-Adaptive SGD Schedules

Muhammad Hamza, Ayush Goel

This paper introduces Curvature-Weighted Gradient Diversity (CWGD), a geometry-aware measure for optimization noise that reduces the asymptotic optimization error floor by up to a factor of two compar…

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math.STstat.MEstat.MLRecentJun 4, 2026

Optimally taming biases in black-box models for efficient semiparametric estimation

Yihong Gu, Qishuo Yin, Tianxi Cai, Jianqing Fan

The paper proposes a new, optimal estimator for semiparametric inference that improves upon standard double machine learning (DML) rates by eliminating the first-order stochastic error of nuisance fun…

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stat.MLcs.LGmath.PRTheoreticalRecentJun 16, 2026

A Diffusion Approximation for Temporal-Difference Learning with Linear Features under Markovian Noise

M. Forzo, E. Monzio Compagnoni, A. Russo, A. Pacchiano

This paper introduces a stochastic differential equation approximation for linear Temporal Difference (TD) learning under Markovian noise, explaining the constant-stepsize error floor.

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cs.LGcs.CRmath.STRecentApr 1, 2026

Differentially Private Manifold Denoising

Jiaqi Wu, Yiqing Sun, Zhigang Yao

The paper introduces a differentially private manifold denoising framework that allows noisy, non-private query points to be corrected using sensitive reference data while providing formal $(\varepsil…

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cs.LGcs.CRRecentMay 16, 2026

Jacobian-Guided Anisotropic Noise Reshaping for Enhancing Representation Utility under Local Differential Privacy

Youngmok Ha, Viktor Schlegel, Yidan Sun, Anil Anthony Bharath

The paper proposes a Jacobian-guided anisotropic noise reshaping technique to selectively attenuate noise in task-relevant subspaces, significantly enhancing data utility while maintaining Local Diffe…

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cs.CERecentMay 27, 2026

Local Information Operators for Spatial Identifiability in Distributed-Parameter Inverse Problems in Computational Mechanics

Tammam Bakeer

This paper introduces a local information-operator framework to analyze spatial identifiability in inverse problems where spatially varying fields are inferred from heterogeneous observations.

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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.CRcs.LGRecentMay 6, 2026

Differential Privacy in the Extensive-Form Bandit Problem

Stephen Pasteris, Rahul Savani, Theodore Turocy

The paper proposes an algorithm for the extensive-form bandit problem that achieves $ ilde{O}( rac{ ext{total actions} imes ext{strategies} imes ext{trials}}{ ext{epsilon}})$ regret while satisfyi…

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math.STmath.NAstat.MLTheoreticalRecentJun 15, 2026

Optimal Multiscale Learning of Linear Operators

Jiaheng Chen, Daniel Sanz-Alonso

This paper analyzes the statistical and computational limits of learning bounded linear operators between Sobolev spaces from noisy data, and constructs a finite-resolution blockwise least-squares est…

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cs.CRcs.ITRecentApr 9, 2026

Realisation-Level Privacy Filtering

Sophie Taylor, Praneeth Vippathalla, Justin Coon

The paper introduces a novel realization-level privacy filtering approach that improves utility in differentially private data release by accounting for actual leakage rather than worst-case per-round…

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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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cs.LGcs.AIcs.ITEmpiricalRecentJul 3, 2026

Towards Diverse and Comprehensive Benchmarks for Mutual Information Estimation

Alberto Foresti, Ivan Butakov, Alexander Tolmachev, Giulio Franzese +2 more

This paper proposes a comprehensive benchmarking framework for evaluating mutual information estimation methods on complex, realistic data using copula theory.

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