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The majorization-minimization (MM) principle is an extremely general framework for deriving optimization algorithms. It includes the expectation-maximization (EM) algorithm, proximal gradient algorithm, concave-convex procedure, quadratic…

Optimization and Control · Mathematics 2021-06-08 Kenneth Lange , Joong-Ho Won , Alfonso Landeros , Hua Zhou

We consider machine learning in a comparison-based setting where we are given a set of points in a metric space, but we have no access to the actual distances between the points. Instead, we can only ask an oracle whether the distance…

Machine Learning · Statistics 2017-04-06 Siavash Haghiri , Debarghya Ghoshdastidar , Ulrike von Luxburg

Clustering is a fundamental tool that has garnered significant interest across a wide range of applications including text analysis. To improve clustering accuracy, many researchers have incorporated background knowledge, typically in the…

Machine Learning · Computer Science 2026-01-19 Chaoqi Jia , Weihong Wu , Longkun Guo , Zhigang Lu , Chao Chen , Kok-Leong Ong

Multi-task learning (MTL) aims to improve estimation and prediction performance by sharing common information among related tasks. One natural assumption in MTL is that tasks are classified into clusters based on their characteristics.…

Methodology · Statistics 2024-05-28 Akira Okazaki , Shuichi Kawano

We investigate a general formulation for clustering and transductive few-shot learning, which integrates prototype-based objectives, Laplacian regularization and supervision constraints from a few labeled data points. We propose a…

Machine Learning · Computer Science 2021-06-18 Imtiaz Masud Ziko , Malik Boudiaf , Jose Dolz , Eric Granger , Ismail Ben Ayed

Low-dimensional embedding, manifold learning, clustering, classification, and anomaly detection are among the most important problems in machine learning. The existing methods usually consider the case when each instance has a fixed,…

Machine Learning · Computer Science 2012-02-20 Barnabas Poczos , Liang Xiong , Jeff Schneider

Machine unlearning -- efficiently removing the effect of a small "forget set" of training data on a pre-trained machine learning model -- has recently attracted significant research interest. Despite this interest, however, recent work…

Machine Learning · Computer Science 2024-11-13 Kristian Georgiev , Roy Rinberg , Sung Min Park , Shivam Garg , Andrew Ilyas , Aleksander Madry , Seth Neel

Cluster analysis requires many decisions: the clustering method and the implied reference model, the number of clusters and, often, several hyper-parameters and algorithms' tunings. In practice, one produces several partitions, and a final…

Machine Learning · Statistics 2023-08-14 Luca Coraggio , Pietro Coretto

Clustering is a fundamental tool in unsupervised learning, used to group objects by distinguishing between similar and dissimilar features of a given data set. One of the most common clustering algorithms is k-means. Unfortunately, when…

Machine Learning · Statistics 2021-08-17 Olga Dorabiala , J. Nathan Kutz , Aleksandr Aravkin

This paper presents a novel clustering concept that is based on jointly learned nonlinear transforms (NTs) with priors on the information loss and the discrimination. We introduce a clustering principle that is based on evaluation of a…

Machine Learning · Computer Science 2019-01-31 Dimche Kostadinov , Behrooz Razeghi , Taras Holotyak , Slava Voloshynovskiy

Clustering is widely used in unsupervised learning to find homogeneous groups of observations within a dataset. However, clustering mixed-type data remains a challenge, as few existing approaches are suited for this task. This study…

Machine Learning · Statistics 2025-11-26 Badih Ghattas , Alvaro Sanchez San-Benito

Machine learning (ML) has become a pervasive tool across computing systems. An emerging application that stress-tests the challenges of ML system design is tiny robot learning, the deployment of ML on resource-constrained low-cost…

Support vector machine (SVM) has been one of the most popular learning algorithms, with the central idea of maximizing the minimum margin, i.e., the smallest distance from the instances to the classification boundary. Recent theoretical…

Machine Learning · Computer Science 2014-05-26 Teng Zhang , Zhi-Hua Zhou

Large Language Models (LLMs), originally developed for natural language processing (NLP), have demonstrated the potential to generalize across modalities and domains. With their in-context learning (ICL) capabilities, LLMs can perform…

Artificial Intelligence · Computer Science 2025-08-26 Nikolaos Pavlidis , Vasilis Perifanis , Symeon Symeonidis , Pavlos S. Efraimidis

Deep metric learning (DML) aims to minimize empirical expected loss of the pairwise intra-/inter- class proximity violations in the embedding space. We relate DML to feasibility problem of finite chance constraints. We show that minimizer…

Computer Vision and Pattern Recognition · Computer Science 2023-09-08 Yeti Z. Gurbuz , Ogul Can , A. Aydin Alatan

The calculation of shortest-path distances in road networks is a core operation in navigation systems, location-based services, and spatial analytics. Although classical algorithms, e.g., Dijkstra's algorithm, provide exact answers, their…

Machine Learning · Computer Science 2026-02-05 Gautam Choudhary , Libin Zhou , Yeasir Rayhan , Walid G. Aref

Although distance measures are used in many machine learning algorithms, the literature on the context-independent selection and evaluation of distance measures is limited in the sense that prior knowledge is used. In cluster analysis,…

Machine Learning · Computer Science 2021-08-24 Michael C. Thrun

Low-shot learning indicates the ability to recognize unseen objects based on very limited labeled training samples, which simulates human visual intelligence. According to this concept, we propose a multi-level similarity model (MLSM) to…

Computer Vision and Pattern Recognition · Computer Science 2019-12-16 Hongwei Xv , Xin Sun , Junyu Dong , Shu Zhang , Qiong Li

Few-shot learning (FSL) aims to learn a classifier that can be easily adapted to accommodate new tasks not seen during training, given only a few examples. To handle the limited-data problem in few-shot regimes, recent methods tend to…

Computer Vision and Pattern Recognition · Computer Science 2022-03-21 Yang Liu , Weifeng Zhang , Chao Xiang , Tu Zheng , Deng Cai , Xiaofei He

In recent years, model-agnostic meta-learning (MAML) has become a popular research area. However, the stochastic optimization of MAML is still underdeveloped. Existing MAML algorithms rely on the ``episode'' idea by sampling a few tasks and…

Machine Learning · Computer Science 2023-04-26 Bokun Wang , Zhuoning Yuan , Yiming Ying , Tianbao Yang
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