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Clustering ensemble has emerged as an important research topic in the field of machine learning. Although numerous methods have been proposed to improve clustering quality, most existing approaches overlook the need for interpretability in…

机器学习 · 计算机科学 2025-06-09 Hang Lv , Lianyu Hu , Mudi Jiang , Xinying Liu , Zengyou He

In this paper, based on results of exact learning and test theory, we study arbitrary infinite binary information systems each of which consists of an infinite set of elements and an infinite set of two-valued functions (attributes) defined…

计算复杂性 · 计算机科学 2022-01-13 Mikhail Moshkov

Federated learning has attracted significant attention as a privacy-preserving framework for training personalised models on multi-source heterogeneous data. However, most existing approaches are unable to handle scenarios where subgroup…

统计方法学 · 统计学 2025-10-14 Changxin Yang , Zhongyi Zhu , Heng Lian

Clustering analysis identifies samples as groups based on either their mutual closeness or homogeneity. In order to detect clusters in arbitrary shapes, a novel and generic solution based on boundary erosion is proposed. The clusters are…

计算机视觉与模式识别 · 计算机科学 2018-04-16 Cheng-Hao Deng , Wan-Lei Zhao

We consider a generalized version of the correlation clustering problem, defined as follows. Given a complete graph $G$ whose edges are labeled with $+$ or $-$, we wish to partition the graph into clusters while trying to avoid errors: $+$…

数据结构与算法 · 计算机科学 2016-05-25 Gregory J. Puleo , Olgica Milenkovic

It is well known that the classical single linkage algorithm usually fails to identify clusters in the presence of outliers. In this paper, we propose a new version of this algorithm, and we study its mathematical performances. In…

统计理论 · 数学 2022-03-21 Nicolas Klutchnikoff , Audrey Poterie , Laurent Rouviere

In continual learning, knowledge must be preserved and re-used between tasks, maintaining good transfer to future tasks and minimizing forgetting of previously learned ones. While several practical algorithms have been devised for this…

机器学习 · 计算机科学 2025-08-19 Lior Friedman , Ron Meir

This paper is concerned with computationally efficient learning of homogeneous sparse halfspaces in $\mathbb{R}^d$ under noise. Though recent works have established attribute-efficient learning algorithms under various types of label noise…

机器学习 · 统计学 2021-03-03 Jie Shen , Chicheng Zhang

We address the problem of federated learning (FL) where users are distributed and partitioned into clusters. This setup captures settings where different groups of users have their own objectives (learning tasks) but by aggregating their…

机器学习 · 统计学 2021-06-10 Avishek Ghosh , Jichan Chung , Dong Yin , Kannan Ramchandran

Continual Learning (CL) algorithms incrementally learn a predictor or representation across multiple sequentially observed tasks. Designing CL algorithms that perform reliably and avoid so-called catastrophic forgetting has proven a…

机器学习 · 计算机科学 2020-06-11 Jeremias Knoblauch , Hisham Husain , Tom Diethe

Adversarial learning is one of the most successful approaches to modelling high-dimensional probability distributions from data. The quantum computing community has recently begun to generalize this idea and to look for potential…

量子物理 · 物理学 2019-04-17 Marcello Benedetti , Edward Grant , Leonard Wossnig , Simone Severini

We study the nascent setting of online computation with imperfect advice, in which the online algorithm is enhanced by some prediction encoded in the form of a possibly erroneous binary string. The algorithm is oblivious to the advice…

数据结构与算法 · 计算机科学 2023-01-05 Spyros Angelopoulos , Shahin Kamali

Modern statistical learning theory and deep learning characterize generalization primarily in terms of continuous capacity control (e.g., norm-based regularization, margin maximization, low-rank bias). While highly successful in continuous…

机器学习 · 计算机科学 2026-05-29 Dongsung Huh

A major approach to saddle point optimization $\min_x\max_y f(x, y)$ is a gradient based approach as is popularized by generative adversarial networks (GANs). In contrast, we analyze an alternative approach relying only on an oracle that…

最优化与控制 · 数学 2021-04-02 Youhei Akimoto

The seminal paper by Mazumdar and Saha \cite{MS17a} introduced an extensive line of work on clustering with noisy queries. Yet, despite significant progress on the problem, the proposed methods depend crucially on knowing the exact…

机器学习 · 计算机科学 2022-07-22 Alberto Del Pia , Mingchen Ma , Christos Tzamos

Recent years have witnessed a burgeoning interest in federated learning (FL). However, the contexts in which clients engage in sequential learning remain under-explored. Bridging FL and continual learning (CL) gives rise to a challenging…

In this paper, we address an issue of finding explainable clusters of class-uniform data in labelled datasets. The issue falls into the domain of interpretable supervised clustering. Unlike traditional clustering, supervised clustering aims…

机器学习 · 计算机科学 2023-07-18 Natallia Kokash , Leonid Makhnist

We propose a new clustering approach, called optimality-based clustering, that clusters data points based on their latent decision-making preferences. We assume that each data point is a decision generated by a decision-maker who…

最优化与控制 · 数学 2022-02-15 Zahed Shahmoradi , Taewoo Lee

We consider the arithmetic complexity of index sets of uniformly computably enumerable families learnable under different learning criteria. We determine the exact complexity of these sets for the standard notions of finite learning,…

逻辑 · 数学 2013-03-01 Achilles Beros

The adoption of probabilistic models for the best individuals found so far is a powerful approach for evolutionary computation. Increasingly more complex models have been used by estimation of distribution algorithms (EDAs), which often…

神经与进化计算 · 计算机科学 2007-10-16 Leonardo Emmendorfer , Aurora Pozo