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Many real-world systems are modelled using complex ordinary differential equations (ODEs). However, the dimensionality of these systems can make them challenging to analyze. Dimensionality reduction techniques like Proper Orthogonal…

Computational Engineering, Finance, and Science · Computer Science 2025-02-26 Abhishek Ajayakumar , Soumyendu Raha

Online learning with expert advice is widely used in various machine learning tasks. It considers the problem where a learner chooses one from a set of experts to take advice and make a decision. In many learning problems, experts may be…

Machine Learning · Computer Science 2021-06-17 Pouya M Ghari , Yanning Shen

Objective: Deep learning-based deformable image registration has achieved strong accuracy, but remains sensitive to variations in input image characteristics such as artifacts, field-of-view mismatch, or modality difference. We aim to…

Computer Vision and Pattern Recognition · Computer Science 2025-09-15 Yihao Liu , Junyu Chen , Lianrui Zuo , Shuwen Wei , Brian D. Boyd , Carmen Andreescu , Olusola Ajilore , Warren D. Taylor , Aaron Carass , Bennett A. Landman

In multiclass classification over $n$ outcomes, the outcomes must be embedded into the reals with dimension at least $n-1$ in order to design a consistent surrogate loss that leads to the "correct" classification, regardless of the data…

Machine Learning · Computer Science 2026-01-21 Enrique Nueve , Bo Waggoner , Dhamma Kimpara , Jessie Finocchiaro

Decision-focused learning (DFL) trains a machine learning (ML) model to predict parameters of an optimization problem, to directly minimize decision regret, i.e., maximize decision quality. Gradient-based DFL requires computing the…

Machine Learning · Computer Science 2025-08-26 Jayanta Mandi , Ali İrfan Mahmutoğulları , Senne Berden , Tias Guns

In this work we provide a theoretical framework for structured prediction that generalizes the existing theory of surrogate methods for binary and multiclass classification based on estimating conditional probabilities with smooth convex…

Machine Learning · Computer Science 2019-02-14 Alex Nowak-Vila , Francis Bach , Alessandro Rudi

Learning with non-modular losses is an important problem when sets of predictions are made simultaneously. The main tools for constructing convex surrogate loss functions for set prediction are margin rescaling and slack rescaling. In this…

Machine Learning · Statistics 2017-05-16 Jiaqian Yu , Matthew Blaschko

We present prompt distribution learning for effectively adapting a pre-trained vision-language model to address downstream recognition tasks. Our method not only learns low-bias prompts from a few samples but also captures the distribution…

Computer Vision and Pattern Recognition · Computer Science 2022-05-09 Yuning Lu , Jianzhuang Liu , Yonggang Zhang , Yajing Liu , Xinmei Tian

Calibration of neural networks is a topical problem that is becoming more and more important as neural networks increasingly underpin real-world applications. The problem is especially noticeable when using modern neural networks, for which…

Machine Learning · Computer Science 2023-08-29 Ondrej Bohdal , Yongxin Yang , Timothy Hospedales

Several tasks in machine learning are evaluated using non-differentiable metrics such as mean average precision or Spearman correlation. However, their non-differentiability prevents from using them as objective functions in a learning…

Machine Learning · Computer Science 2019-04-10 Martin Engilberge , Louis Chevallier , Patrick Pérez , Matthieu Cord

Decision support systems are designed to assist human experts in classification tasks by providing conformal prediction sets derived from a pre-trained model. This human-AI collaboration has demonstrated enhanced classification performance…

Machine Learning · Computer Science 2025-08-12 Helbert Paat , Guohao Shen

Multi-fidelity surrogate modeling aims to learn an accurate surrogate at the highest fidelity level by combining data from multiple sources. Traditional methods relying on Gaussian processes can hardly scale to high-dimensional data. Deep…

Machine Learning · Computer Science 2024-06-25 Ruijia Niu , Dongxia Wu , Kai Kim , Yi-An Ma , Duncan Watson-Parris , Rose Yu

Automatically searching for optimal hyperparameter configurations is of crucial importance for applying deep learning algorithms in practice. Recently, Bayesian optimization has been proposed for optimizing hyperparameters of various…

Artificial Intelligence · Computer Science 2017-01-24 Ilija Ilievski , Taimoor Akhtar , Jiashi Feng , Christine Annette Shoemaker

The generalized assignment problem with routing constraints, e.g. the vehicle routing problem, has essential practical relevance. This paper focuses on addressing the complexities of the problem by learning a surrogate model with reduced…

Optimization and Control · Mathematics 2024-05-24 Sen Xue , Chuanhou Gao

Machine learning surrogates are increasingly employed to replace expensive computational models for physics-based reliability analysis. However, their use introduces epistemic uncertainty from model approximation errors, which couples with…

Machine Learning · Computer Science 2025-09-24 Amirreza Tootchi , Xiaoping Du

Many problems in computer vision have recently been tackled using models whose predictions cannot be easily interpreted, most commonly deep neural networks. Surrogate explainers are a popular post-hoc interpretability method to further…

Computer Vision and Pattern Recognition · Computer Science 2022-10-11 Ricardo Kleinlein , Alexander Hepburn , Raúl Santos-Rodríguez , Fernando Fernández-Martínez

We consider a class of stochastic programming problems where the implicitly decision-dependent random variable follows a nonparametric regression model with heteroscedastic error. The Clarke subdifferential and surrogate functions are not…

Optimization and Control · Mathematics 2025-05-13 Boyang Shen , Junyi Liu

Recent work introduced loss functions which measure the error of a prediction based on multiple simultaneous observations or outcomes. In this paper, we explore the theoretical and practical questions that arise when using such…

Machine Learning · Computer Science 2018-02-28 Rafael Frongillo , Nishant A. Mehta , Tom Morgan , Bo Waggoner

Creating artificial intelligence (AI) systems capable of demonstrating lifelong learning is a fundamental challenge, and many approaches and metrics have been proposed to analyze algorithmic properties. However, for existing lifelong…

Machine Learning · Computer Science 2022-08-01 Corban Rivera , Chace Ashcraft , Alexander New , James Schmidt , Gautam Vallabha

We study the problem of learning-to-learn: inferring a learning algorithm that works well on tasks sampled from an unknown distribution. As class of algorithms we consider Stochastic Gradient Descent on the true risk regularized by the…

Machine Learning · Computer Science 2019-03-26 Giulia Denevi , Carlo Ciliberto , Riccardo Grazzi , Massimiliano Pontil