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Related papers: Learning Fair Representations for Kernel Models

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We study the fair regression problem under the notion of Mean Parity (MP) fairness, which requires the conditional mean of the learned function output to be constant with respect to the sensitive attributes. We address this problem by…

Machine Learning · Statistics 2023-02-22 Shaokui Wei , Jiayin Liu , Bing Li , Hongyuan Zha

Motivated by the growing interest in representation learning approaches that uncover the latent structure of high-dimensional data, this work proposes new algorithms for reconstruction-based manifold learning within Reproducing-Kernel…

Machine Learning · Computer Science 2026-05-07 Enrique Feito-Casares , Francisco M. Melgarejo-Meseguer , José-Luis Rojo-Álvarez

New social and economic activities massively exploit big data and machine learning algorithms to do inference on people's lives. Applications include automatic curricula evaluation, wage determination, and risk assessment for credits and…

We develop a mathematical framework to address a broad class of metric and preference learning problems within a Hilbert space. We obtain a novel representer theorem for the simultaneous task of metric and preference learning. Our key…

Machine Learning · Computer Science 2025-10-28 Peyman Morteza

Representation learning is increasingly applied to generate representations that generalize well across multiple downstream tasks. Ensuring fairness guarantees in representation learning is crucial to prevent unfairness toward specific…

Machine Learning · Computer Science 2025-10-27 Yuhong Luo , Austin Hoag , Xintong Wang , Philip S. Thomas , Przemyslaw A. Grabowicz

The main objective of fair statistical modeling and machine learning is to minimize or eliminate biases that may arise from the data or the model itself, ensuring that predictions and decisions are not unjustly influenced by sensitive…

Machine Learning · Statistics 2025-04-03 Xueyu Zhou , Chun Yin IP , Jian Huang

Traditionally, kernel methods rely on the representer theorem which states that the solution to a learning problem is obtained as a linear combination of the data mapped into the reproducing kernel Hilbert space (RKHS). While elegant from…

Machine Learning · Computer Science 2021-08-30 Riikka Huusari , Sahely Bhadra , Cécile Capponi , Hachem Kadri , Juho Rousu

In recent years, there have been significant efforts on mitigating unethical demographic biases in machine learning methods. However, very little is done for kernel methods. In this paper, we propose a new fair kernel regression method via…

Machine Learning · Computer Science 2019-09-24 Austin Okray , Hui Hu , Chao Lan

Representation learning is increasingly employed to generate representations that are predictive across multiple downstream tasks. The development of representation learning algorithms that provide strong fairness guarantees is thus…

Machine Learning · Computer Science 2023-10-25 Yuhong Luo , Austin Hoag , Philip S. Thomas

We introduce a complex-valued counterpart of the representer theorem in machine learning. We study several learning and minimization problems in reproducing kernel Hilbert spaces (RKHSs), with the aim of identifying appropriate input-output…

Functional Analysis · Mathematics 2026-04-28 Natanael Alpay , Antonino De Martino , Kamal Diki

Neural network architectures have been extensively employed in the fair representation learning setting, where the objective is to learn a new representation for a given vector which is independent of sensitive information. Various…

Machine Learning · Computer Science 2022-01-19 Mattia Cerrato , Marius Köppel , Alexander Segner , Stefan Kramer

With the on-going integration of machine learning systems into the everyday social life of millions the notion of fairness becomes an ever increasing priority in their development. Fairness notions commonly rely on protected attributes to…

Machine Learning · Computer Science 2025-11-06 Felix Störck , Fabian Hinder , Barbara Hammer

We propose a new data-driven approach for learning the fundamental solutions (Green's functions) of various linear partial differential equations (PDEs) given sample pairs of input-output functions. Building off the theory of functional…

Statistics Theory · Mathematics 2023-04-11 George Stepaniants

We revisit the problem of fair representation learning by proposing Fair Partial Least Squares (PLS) components. PLS is widely used in statistics to efficiently reduce the dimension of the data by providing representation tailored for the…

Machine Learning · Computer Science 2025-02-25 Elena M. De-Diego , Adrián Perez-Suay , Paula Gordaliza , Jean-Michel Loubes

Consider the problem: given the data pair $(\mathbf{x}, \mathbf{y})$ drawn from a population with $f_*(x) = \mathbf{E}[\mathbf{y} | \mathbf{x} = x]$, specify a neural network model and run gradient flow on the weights over time until…

Machine Learning · Statistics 2020-07-27 Xialiang Dou , Tengyuan Liang

Ensuring fairness in machine learning is a critical and challenging task, as biased data representations often lead to unfair predictions. To address this, we propose Deep Fair Learning, a framework that integrates nonlinear sufficient…

Machine Learning · Statistics 2025-04-10 Enze Shi , Linglong Kong , Bei Jiang

Training machine learning models with the only accuracy as a final goal may promote prejudices and discriminatory behaviors embedded in the data. One solution is to learn latent representations that fulfill specific fairness metrics.…

Machine Learning · Computer Science 2021-07-28 Patrik Joslin Kenfack , Adil Mehmood Khan , Rasheed Hussain , S. M. Ahsan Kazmi

Fairness has become an essential problem in many domains of Machine Learning (ML), such as classification, natural language processing, and Generative Adversarial Networks (GANs). In this research effort, we study the unfairness of GANs. We…

Machine Learning · Computer Science 2022-07-22 Patrik Joslin Kenfack , Kamil Sabbagh , Adín Ramírez Rivera , Adil Khan

Neural network architectures have been extensively employed in the fair representation learning setting, where the objective is to learn a new representation for a given vector which is independent of sensitive information. Various…

Machine Learning · Computer Science 2022-02-08 Mattia Cerrato , Alesia Vallenas Coronel , Marius Köppel , Alexander Segner , Roberto Esposito , Stefan Kramer

We propose a general framework for policy representation for reinforcement learning tasks. This framework involves finding a low-dimensional embedding of the policy on a reproducing kernel Hilbert space (RKHS). The usage of RKHS based…

Machine Learning · Computer Science 2020-10-16 Bogdan Mazoure , Thang Doan , Tianyu Li , Vladimir Makarenkov , Joelle Pineau , Doina Precup , Guillaume Rabusseau
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