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Support vector machines (SVMs) are an important tool in modern data analysis. Traditionally, support vector machines have been fitted via quadratic programming, either using purpose-built or off-the-shelf algorithms. We present an…

Computation · Statistics 2017-05-15 Hien D. Nguyen , Geoffrey J. McLachlan

The inferential models (IM) framework provides prior-free, frequency-calibrated, posterior probabilistic inference. The key is the use of random sets to predict unobservable auxiliary variables connected to the observable data and unknown…

Statistics Theory · Mathematics 2016-01-26 Ryan Martin , Chuanhai Liu

In this paper, we propose Total Variation Regularized Tensor-on-scalar Regression(TVTR), a novel method for estimating the association between a tensor outcome (a one dimensional or multidimensional array) and scalar predictors. While the…

Methodology · Statistics 2018-12-11 Ying Liu , Bowei Yan , Kathleen Merikangas , Haochang Shou

Learning robust models under distribution shifts between training and test datasets is a fundamental challenge in machine learning. While learning invariant features across environments is a popular approach, it often assumes that these…

Machine Learning · Computer Science 2025-09-15 Taero Kim , Subeen Park , Sungjun Lim , Yonghan Jung , Krikamol Muandet , Kyungwoo Song

Empirical risk minimization (ERM) can be computationally expensive, with standard solvers scaling poorly even in the convex setting. We propose a novel lossless compression framework for convex ERM based on color refinement, extending prior…

Optimization and Control · Mathematics 2026-02-03 Bryan Zhu , Ziang Chen

Performance and reliability analyses of autonomous vehicles (AVs) can benefit from tools that ``amplify'' small datasets to synthesize larger volumes of plausible samples of the AV's behavior. We consider a specific instance of this data…

Machine Learning · Computer Science 2025-03-11 Alexandra E. Ballentine , Raghvendra V. Cowlagi

Empirical risk minimization is the main tool for prediction problems, but its extension to relational data remains unsolved. We solve this problem using recent ideas from graph sampling theory to (i) define an empirical risk for relational…

Machine Learning · Statistics 2019-02-25 Victor Veitch , Morgane Austern , Wenda Zhou , David M. Blei , Peter Orbanz

Imitation learning uses data for training policies to solve complex tasks. However, when the training data is collected from human demonstrators, it often leads to multimodal distributions because of the variability in human actions. Most…

Machine Learning · Computer Science 2023-11-01 Denis Blessing , Onur Celik , Xiaogang Jia , Moritz Reuss , Maximilian Xiling Li , Rudolf Lioutikov , Gerhard Neumann

Transferability estimation identifies the best pre-trained models for downstream tasks without incurring the high computational cost of full fine-tuning. This capability facilitates deployment and advances the pre-training and fine-tuning…

Computer Vision and Pattern Recognition · Computer Science 2025-10-28 Yaoyan Zheng , Huiqun Wang , Nan Zhou , Di Huang

Feature selection is one of the most fundamental problems in machine learning. An extensive body of work on information-theoretic feature selection exists which is based on maximizing mutual information between subsets of features and class…

Machine Learning · Statistics 2016-06-10 Shuyang Gao , Greg Ver Steeg , Aram Galstyan

The i.i.d. assumption is a useful idealization that underpins many successful approaches to supervised machine learning. However, its violation can lead to models that learn to exploit spurious correlations in the training data, rendering…

Machine Learning · Computer Science 2020-06-15 Daniel Pace , Alessandra Russo , Murray Shanahan

We consider a regression setting where observations are collected in different environments modeled by different data distributions. The field of out-of-distribution (OOD) generalization aims to design methods that generalize better to test…

Machine Learning · Statistics 2026-03-12 Francesco Freni , Anya Fries , Linus Kühne , Markus Reichstein , Jonas Peters

Machine learning methods often assume that the test data have the same distribution as the training data. However, this assumption may not hold due to multiple levels of heterogeneity in applications, raising issues in algorithmic fairness…

Machine Learning · Statistics 2024-04-03 Sai Li , Linjun Zhang

Inverse reinforcement learning (IRL) seeks to learn the reward function from expert trajectories, to understand the task for imitation or collaboration thereby removing the need for manual reward engineering. However, IRL in the context of…

Machine Learning · Computer Science 2023-11-13 Yikang Gui , Prashant Doshi

How can we effectively remove or ''unlearn'' undesirable information, such as specific features or the influence of individual data points, from a learning outcome while minimizing utility loss and ensuring rigorous guarantees? We introduce…

Machine Learning · Computer Science 2025-12-30 Shizhou Xu , Thomas Strohmer

This paper advocates a new paradigm Personalized Empirical Risk Minimization (PERM) to facilitate learning from heterogeneous data sources without imposing stringent constraints on computational resources shared by participating devices. In…

Machine Learning · Computer Science 2023-10-30 Yuyang Deng , Mohammad Mahdi Kamani , Pouria Mahdavinia , Mehrdad Mahdavi

A crucial assumption underlying the most current theory of machine learning is that the training distribution is identical to the test distribution. However, this assumption may not hold in some real-world applications. In this paper, we…

Machine Learning · Statistics 2023-02-24 Jiangshe Zhang , Lizhen Ji , Fei Gao , Mengyao Li

The literature on Inverse Reinforcement Learning (IRL) typically assumes that humans take actions in order to minimize the expected value of a cost function, i.e., that humans are risk neutral. Yet, in practice, humans are often far from…

Artificial Intelligence · Computer Science 2018-03-23 Sumeet Singh , Jonathan Lacotte , Anirudha Majumdar , Marco Pavone

The authors propose a new modeling approach based on the impedance field method (IFM) to analyze the general geometric variations in device simulations. Compared with the direct modeling of multiple variational devices, the proposed…

Mesoscale and Nanoscale Physics · Physics 2016-04-27 Bo Fu , Seonghoon Jin , Woosung Choi , Keun-Ho Lee , Young-Kwan Park

Optimization within a layer of a deep-net has emerged as a new direction for deep-net layer design. However, there are two main challenges when applying these layers to computer vision tasks: (a) which optimization problem within a layer is…

Computer Vision and Pattern Recognition · Computer Science 2022-04-08 Raymond A. Yeh , Yuan-Ting Hu , Zhongzheng Ren , Alexander G. Schwing
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