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A key problem in the theory of meta-learning is to understand how the task distributions influence transfer risk, the expected error of a meta-learner on a new task drawn from the unknown task distribution. In this paper, focusing on fixed…

机器学习 · 统计学 2021-06-15 Mikhail Konobeev , Ilja Kuzborskij , Csaba Szepesvári

Clustering is a NP-hard problem. Thus, no optimal algorithm exists, heuristics are applied to cluster the data. Heuristics can be very resource-intensive, if not applied properly. For substantially large data sets computational efficiencies…

数据库 · 计算机科学 2020-03-11 Mujahid Sultan

Over the past five decades, k-means has become the clustering algorithm of choice in many application domains primarily due to its simplicity, time/space efficiency, and invariance to the ordering of the data points. Unfortunately, the…

机器学习 · 计算机科学 2014-09-16 M. Emre Celebi , Hassan A. Kingravi

The EM algorithm is one of many important tools in the field of statistics. While often used for imputing missing data, its widespread applications include other common statistical tasks, such as clustering. In clustering, the EM algorithm…

机器学习 · 统计学 2017-11-22 Val Andrei Fajardo , Jiaxi Liang

This paper presents a clustering technique that reduces the susceptibility to data noise by learning and clustering the data-distribution and then assigning the data to the cluster of its distribution. In the process, it reduces the impact…

机器学习 · 计算机科学 2023-03-15 Rahmat Adesunkanmi , Ratnesh Kumar

Among ensemble clustering methods, Evidence Accumulation Clustering is one of the simplest technics. In this approach, a co-association (CA) matrix representing the co-clustering frequency is built and then clustered to extract consensus…

机器学习 · 计算机科学 2023-11-17 Gaëlle Candel

The Expectation-Maximization (EM) algorithm is an iterative method to maximize the log-likelihood function for parameter estimation. Previous works on the convergence analysis of the EM algorithm have established results on the asymptotic…

统计理论 · 数学 2017-05-31 Chong Wu , Can Yang , Hongyu Zhao , Ji Zhu

The Expectation--Maximization (EM) algorithm is a simple meta-algorithm that has been used for many years as a methodology for statistical inference when there are missing measurements in the observed data or when the data is composed of…

机器学习 · 统计学 2022-11-15 Hideitsu Hino , Shotaro Akaho , Noboru Murata

As in other estimation scenarios, likelihood based estimation in the normal mixture set-up is highly non-robust against model misspecification and presence of outliers (apart from being an ill-posed optimization problem). A robust…

统计方法学 · 统计学 2023-12-20 Soumya Chakraborty , Ayanendranath Basu , Abhik Ghosh

In this work, we study diversity-aware clustering problems where the data points are associated with multiple attributes resulting in intersecting groups. A clustering solution needs to ensure that the number of chosen cluster centers from…

数据结构与算法 · 计算机科学 2025-05-21 Suhas Thejaswi , Ameet Gadekar , Bruno Ordozgoiti , Aristides Gionis

Clustering is a widely used unsupervised learning technique involving an intensive discrete optimization problem. Associative Memory models or AMs are differentiable neural networks defining a recursive dynamical system, which have been…

机器学习 · 计算机科学 2023-06-07 Bishwajit Saha , Dmitry Krotov , Mohammed J. Zaki , Parikshit Ram

We address general-shaped clustering problems under very weak parametric assumptions with a two-step hybrid robust clustering algorithm based on trimmed k-means and hierarchical agglomeration. The algorithm has low computational complexity…

统计方法学 · 统计学 2022-01-19 Luca Insolia , Domenico Perrotta

Kernel $k$-means clustering can correctly identify and extract a far more varied collection of cluster structures than the linear $k$-means clustering algorithm. However, kernel $k$-means clustering is computationally expensive when the…

机器学习 · 计算机科学 2019-02-12 Shusen Wang , Alex Gittens , Michael W. Mahoney

This paper presents a new fuzzy k-means algorithm for the clustering of high-dimensional data in various subspaces. Since high-dimensional data, some features might be irrelevant and relevant but may have different significance in the…

机器学习 · 计算机科学 2025-02-14 Vikas Singh , Nishchal K. Verma

We study a variant of classical clustering formulations in the context of algorithmic fairness, known as diversity-aware clustering. In this variant we are given a collection of facility subsets, and a solution must contain at least a…

数据结构与算法 · 计算机科学 2022-10-25 Suhas Thejaswi , Ameet Gadekar , Bruno Ordozgoiti , Michal Osadnik

$k-$means Clustering requires as input the exact value of $k$, the number of clusters. Two challenges are open: (i) Is there a data-determined definition of $k$ which is provably correct and (ii) Is there a polynomial time algorithm to find…

数据结构与算法 · 计算机科学 2020-12-09 Chiranjib Bhattacharyya , Ravindran Kannan , Amit Kumar

We present a clustering- and demotion-based algorithm called Kmeans-FOLD to induce nonmonotonic logic programs from positive and negative examples. Our algorithm improves upon-and is inspired by-the FOLD algorithm. The FOLD algorithm itself…

人工智能 · 计算机科学 2021-09-28 Huaduo Wang , Farhad Shakerin , Gopal Gupta

Regression mixture models are widely studied in statistics, machine learning and data analysis. Fitting regression mixtures is challenging and is usually performed by maximum likelihood by using the expectation-maximization (EM) algorithm.…

统计方法学 · 统计学 2014-09-25 Faicel Chamroukhi

In this work, we evaluate two different image clustering objectives, k-means clustering and correlation clustering, in the context of Triplet Loss induced feature space embeddings. Specifically, we train a convolutional neural network to…

计算机视觉与模式识别 · 计算机科学 2020-07-08 Kalun Ho , Janis Keuper , Franz-Josef Pfreundt , Margret Keuper

Expectation Maximization (EM) is the standard method to learn Gaussian mixtures. Yet its classic, centralized form is often infeasible, due to privacy concerns and computational and communication bottlenecks. Prior work dealt with data…

机器学习 · 计算机科学 2022-01-26 Pedro Valdeira , Cláudia Soares , João Xavier