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Constrained optimization with multiple functional inequality constraints has significant applications in machine learning. This paper examines a crucial subset of such problems where both the objective and constraint functions are weakly…

Machine Learning · Computer Science 2026-02-09 Ming Yang , Gang Li , Quanqi Hu , Qihang Lin , Tianbao Yang

Motivated by modern regression applications, in this paper, we study the convexification of a class of convex optimization problems with indicator variables and combinatorial constraints on the indicators. Unlike most of the previous work…

Optimization and Control · Mathematics 2021-06-17 Linchuan Wei , Andres Gomez , Simge Kucukyavuz

While neural network binary classifiers are often evaluated on metrics such as Accuracy and $F_1$-Score, they are commonly trained with a cross-entropy objective. How can this training-evaluation gap be addressed? While specific techniques…

Machine Learning · Computer Science 2022-06-03 Nathan Tsoi , Kate Candon , Deyuan Li , Yofti Milkessa , Marynel Vázquez

We study the problem of modeling univariate distributions via their quantile functions. We introduce a flexible family of distributions whose quantile function is a linear combination of basis quantiles. Because the model is linear in its…

Methodology · Statistics 2026-02-05 Cheng Peng , Yizhou Li , Stan Uryasev

In practice, many machine learning (ML) problems come with constraints, and their applied domains involve distributed sensitive data that cannot be shared with others, e.g., in healthcare. Collaborative learning in such practical scenarios…

Machine Learning · Computer Science 2024-05-02 Chuan He , Le Peng , Ju Sun

One-class classification (OCC) deals with the classification problem in which the training data has data points belonging only to target class. In this paper, we study a one-class classification algorithm, One-Class Classification by…

Machine Learning · Computer Science 2020-03-10 Amir Ahmad , Srikanth Bezawada

Large language models (LLMs) exhibit varying strengths and weaknesses across different tasks, prompting recent studies to explore the benefits of ensembling models to leverage their complementary advantages. However, existing LLM ensembling…

Computation and Language · Computer Science 2025-02-26 Yuxuan Yao , Han Wu , Mingyang Liu , Sichun Luo , Xiongwei Han , Jie Liu , Zhijiang Guo , Linqi Song

Sorted L-One Penalized Estimation is a relatively new convex optimization procedure which allows for adaptive selection of regressors under sparse high dimensional designs. Here we extend the idea of SLOPE to deal with the situation when…

Statistics Theory · Mathematics 2015-12-01 Damian Brzyski , Weijie Su , Małgorzata Bogdan

Few-shot classification consists of learning a predictive model that is able to effectively adapt to a new class, given only a few annotated samples. To solve this challenging problem, meta-learning has become a popular paradigm that…

Computer Vision and Pattern Recognition · Computer Science 2019-09-02 Nikita Dvornik , Cordelia Schmid , Julien Mairal

The Conditional Gradient (or Frank-Wolfe) method is one of the most well-known methods for solving constrained optimization problems appearing in various machine learning tasks. The simplicity of iteration and applicability to many…

Optimization and Control · Mathematics 2024-09-17 Ruslan Nazykov , Aleksandr Shestakov , Vladimir Solodkin , Aleksandr Beznosikov , Gauthier Gidel , Alexander Gasnikov

This paper introduces a novel, generic active learning method for one-class classification. Active learning methods play an important role to reduce the efforts of manual labeling in the field of machine learning. Although many active…

Machine Learning · Computer Science 2019-01-11 Patrick Schlachter , Bin Yang

We consider a discriminative learning (regression) problem, whereby the regression function is a convex combination of k linear classifiers. Existing approaches are based on the EM algorithm, or similar techniques, without provable…

Machine Learning · Computer Science 2014-08-01 Yuekai Sun , Stratis Ioannidis , Andrea Montanari

As a prevalent distributed learning paradigm, Federated Learning (FL) trains a global model on a massive amount of devices with infrequent communication. This paper investigates a class of composite optimization and statistical recovery…

Machine Learning · Computer Science 2022-10-04 Yajie Bao , Michael Crawshaw , Shan Luo , Mingrui Liu

Growth in both size and complexity of modern data challenges the applicability of traditional likelihood-based inference. Composite likelihood (CL) methods address the difficulties related to model selection and computational intractability…

Statistics Theory · Mathematics 2017-09-12 Zhendong Huang , Davide Ferrari

Model ensemble is an effective strategy in continual learning, which alleviates catastrophic forgetting by interpolating model parameters, achieving knowledge fusion learned from different tasks. However, existing model ensemble methods…

Computer Vision and Pattern Recognition · Computer Science 2025-09-25 Yuchuan Mao , Zhi Gao , Xiaomeng Fan , Yuwei Wu , Yunde Jia , Chenchen Jing

We analyze a class of norms defined via an optimal interpolation problem involving the composition of norms and a linear operator. This construction, known as infimal postcomposition in convex analysis, is shown to encompass various of…

Optimization and Control · Mathematics 2017-08-30 Patrick L. Combettes , Andrew M. McDonald , Charles A. Micchelli , Massimiliano Pontil

The concept of ensemble learning offers a promising avenue in learning from data streams under complex environments because it addresses the bias and variance dilemma better than its single model counterpart and features a reconfigurable…

Machine Learning · Computer Science 2019-12-10 Mahardhika Pratama , Witold Pedrycz , Edwin Lughofer

Recommending appropriate algorithms to a classification problem is one of the most challenging issues in the field of data mining. The existing algorithm recommendation models are generally constructed on only one kind of meta-features by…

Information Retrieval · Computer Science 2021-06-08 Guangtao Wang , Qinbao Song , Xiaoyan Zhu

A problem of bounding the generalization error of a classifier f in H, where H is a "base" class of functions (classifiers), is considered. This problem frequently occurs in computer learning, where efficient algorithms of combining simple…

Probability · Mathematics 2007-06-13 Vladimir Koltchinskii , Dmitry Panchenko , Fernando Lozano

In this paper, we propose a special fusion method for combining ensembles of base classifiers utilizing new neural networks in order to improve overall efficiency of classification. While ensembles are designed such that each classifier is…

Machine Learning · Computer Science 2009-12-08 Mehdi Salkhordeh Haghighi , Hadi Sadoghi Yazdi , Abedin Vahedian , Hamed Modaghegh