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We use a suitable version of the so-called "kernel trick" to devise two-sample (homogeneity) tests, especially focussed on high-dimensional and functional data. Our proposal entails a simplification related to the important practical…

Statistics Theory · Mathematics 2024-04-24 Javier Cárcamo , Antonio Cuevas , Luis-Alberto Rodríguez

Quantum kernel methods promise enhanced expressivity for learning structured data, but their usefulness has been limited by kernel concentration and barren plateaus. Both effects are mathematically equivalent and suppress trainability. We…

Normalization is an important but understudied challenge in privacy-related application domains such as federated learning (FL), differential privacy (DP), and differentially private federated learning (DP-FL). While the unsuitability of…

Machine Learning · Computer Science 2023-06-05 Reza Nasirigerdeh , Javad Torkzadehmahani , Daniel Rueckert , Georgios Kaissis

Several recent studies in privacy-preserving learning have considered the trade-off between utility or risk and the level of differential privacy guaranteed by mechanisms for statistical query processing. In this paper we study this…

Machine Learning · Computer Science 2009-12-01 Benjamin I. P. Rubinstein , Peter L. Bartlett , Ling Huang , Nina Taft

Data silos, mainly caused by privacy and interoperability, significantly constrain collaborations among different organizations with similar data for the same purpose. Distributed learning based on divide-and-conquer provides a promising…

Machine Learning · Computer Science 2023-09-11 Di Wang , Xiaotong Liu , Shao-Bo Lin , Ding-Xuan Zhou

We consider the problem of publicly releasing a dataset for support vector machine classification while not infringing on the privacy of data subjects (i.e., individuals whose private information is stored in the dataset). The dataset is…

Cryptography and Security · Computer Science 2020-01-01 Farhad Farokhi

Machine learning models used for distributed architectures consisting of servers and clients require large amounts of data to achieve high accuracy. Data obtained from clients are collected on a central server for model training. However,…

Cryptography and Security · Computer Science 2025-09-18 Ozer Ozturk , Busra Buyuktanir , Gozde Karatas Baydogmus , Kazim Yildiz

Handling missing data is crucial in machine learning, but many datasets contain gaps due to errors or non-response. Unlike traditional methods such as listwise deletion, which are simple but inadequate, the literature offers more…

Cryptography and Security · Computer Science 2024-05-30 Julia Jentsch , Ali Burak Ünal , Şeyma Selcan Mağara , Mete Akgün

Preserving the privacy of individuals by protecting their sensitive attributes is an important consideration during microdata release. However, it is equally important to preserve the quality or utility of the data for at least some…

Machine Learning · Statistics 2017-11-07 Dennis Wei , Karthikeyan Natesan Ramamurthy , Kush R. Varshney

The paper addresses face presentation attack detection in the challenging conditions of an unseen attack scenario where the system is exposed to novel presentation attacks that were not present in the training step. For this purpose, a pure…

Computer Vision and Pattern Recognition · Computer Science 2020-01-01 Shervin Rahimzadeh Arashloo

In statistical machine learning, kernel methods allow to consider infinite dimensional feature spaces with a computational cost that only depends on the number of observations. This is usually done by solving an optimization problem…

Optimization and Control · Mathematics 2019-01-17 Guillaume Garrigos , Lorenzo Rosasco , Silvia Villa

In the era of big data, the need to expand the amount of data through data sharing to improve model performance has become increasingly compelling. As a result, effective collaborative learning models need to be developed with respect to…

Machine Learning · Computer Science 2020-11-17 Huiwen Wu , Cen Chen , Li Wang

This paper presents a kernel-based framework for physics-informed nonlinear system identification. The key contribution is a structured methodology that extends kernel-based techniques to seamlessly embed partially known physics-based…

Systems and Control · Electrical Eng. & Systems 2025-10-20 Cesare Donati , Martina Mammarella , Giuseppe C. Calafiore , Fabrizio Dabbene , Constantino Lagoa , Carlo Novara

The Maximum Mean Discrepancy (MMD) is a cornerstone statistic for nonparametric two-sample testing, but its test power is dictated entirely by the chosen kernel. Because any fixed kernel inherently fails to distinguish certain…

Machine Learning · Statistics 2026-05-11 Yijin Ni , Xiaoming Huo

Kernel means are frequently used to represent probability distributions in machine learning problems. In particular, the well known kernel density estimator and the kernel mean embedding both have the form of a kernel mean. Unfortunately,…

Machine Learning · Statistics 2015-03-03 E. Cruz Cortés , C. Scott

A novel search method for large polarization kernels is proposed. The algorithm produces a kernel with given partial distances by employing the depth-first search combined with the computation of coset leaders weight tables and sufficient…

Information Theory · Computer Science 2023-10-13 Grigorii Trofimiuk

Membership Inference Attacks have emerged as a dominant method for empirically measuring privacy leakage from machine learning models. Here, privacy is measured by the {\em{advantage}} or gap between a score or a function computed on the…

Machine Learning · Computer Science 2024-05-27 Ruihan Wu , Pengrun Huang , Kamalika Chaudhuri

We propose a sparse algebra for samplet compressed kernel matrices, to enable efficient scattered data analysis. We show the compression of kernel matrices by means of samplets produces optimally sparse matrices in a certain S-format. It…

Numerical Analysis · Mathematics 2023-05-05 H. Harbrecht , M. Multerer , O. Schenk , Ch. Schwab

Creation of a synthetic dataset that faithfully represents the data distribution and simultaneously preserves privacy is a major research challenge. Many space partitioning based approaches have emerged in recent years for answering…

Cryptography and Security · Computer Science 2023-06-26 Eleonora Kreačić , Navid Nouri , Vamsi K. Potluru , Tucker Balch , Manuela Veloso

This paper introduces a kernel discrepancy-based framework for rerandomization to enhance the precision of causal inference in controlled experiments. We demonstrate that the kernel discrepancy is the key part of the variance upper bound…

Methodology · Statistics 2025-11-05 Yiou Li , Lulu Kang