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Calibration error is commonly adopted for evaluating the quality of uncertainty estimators in deep neural networks. In this paper, we argue that such a metric is highly beneficial for training predictive models, even when we do not…

Machine Learning · Statistics 2019-11-01 Jayaraman J. Thiagarajan , Bindya Venkatesh , Deepta Rajan

Enhanced sampling simulations make the computational study of rare events feasible. A large family of such methods crucially depends on the definition of some collective variables (CVs) that could provide a low-dimensional representation of…

Computational Physics · Physics 2026-03-03 Jintu Zhang , Luigi Bonati , Enrico Trizio , Odin Zhang , Yu Kang , TingJun Hou , Michele Parrinello

We propose a simple, statistically principled, and theoretically justified method to improve supervised learning when the training set is not representative, a situation known as covariate shift. We build upon a well-established methodology…

Machine Learning · Statistics 2025-03-12 Maximilian Autenrieth , David A. van Dyk , Roberto Trotta , David C. Stenning

Machine learning methods for computational imaging require uncertainty estimation to be reliable in real settings. While Bayesian models offer a computationally tractable way of recovering uncertainty, they need large data volumes to be…

Machine Learning · Computer Science 2020-08-24 Francesco Tonolini , Jack Radford , Alex Turpin , Daniele Faccio , Roderick Murray-Smith

In the continual learning setting, tasks are encountered sequentially. The goal is to learn whilst i) avoiding catastrophic forgetting, ii) efficiently using model capacity, and iii) employing forward and backward transfer learning. In this…

Machine Learning · Statistics 2019-05-07 Siddharth Swaroop , Cuong V. Nguyen , Thang D. Bui , Richard E. Turner

Quantitative evaluations of differences and/or similarities between data samples define and shape optimisation problems associated with learning data distributions. Current methods to compare data often suffer from limitations in capturing…

Machine Learning · Computer Science 2024-01-23 Deborah Pelacani Cruz , George Strong , Oscar Bates , Carlos Cueto , Jiashun Yao , Lluis Guasch

In traditional machine learning techniques, the degree of closeness between true and predicted values generally measures the quality of predictions. However, these learning algorithms do not consider prescription problems where the…

Machine Learning · Computer Science 2021-01-05 Mehmet Kolcu , Alper E. Murat

Despite ongoing theoretical research on cross-validation (CV), many theoretical questions remain widely open. This motivates our investigation into how properties of algorithm-distribution pairs can affect the choice for the number of folds…

Statistics Theory · Mathematics 2026-01-09 Ido Nachum , Rüdiger Urbanke , Thomas Weinberger

Fueled in part by recent applications in neuroscience, the multivariate Hawkes process has become a popular tool for modeling the network of interactions among high-dimensional point process data. While evaluating the uncertainty of the…

Machine Learning · Statistics 2020-07-16 Xu Wang , Mladen Kolar , Ali Shojaie

This paper investigates the supervised learning problem with observations drawn from certain general stationary stochastic processes. Here by \emph{general}, we mean that many stationary stochastic processes can be included. We show that…

Machine Learning · Statistics 2016-05-11 Hanyuan Hang , Yunlong Feng , Ingo Steinwart , Johan A. K. Suykens

We propose a Bayesian neural network-based continual learning algorithm using Variational Inference, aiming to overcome several drawbacks of existing methods. Specifically, in continual learning scenarios, storing network parameters at each…

Machine Learning · Computer Science 2024-11-22 Sanchar Palit , Biplab Banerjee , Subhasis Chaudhuri

Spatially varying coefficient (SVC) models are a type of regression model for spatial data where covariate effects vary over space. If there are several covariates, a natural question is which covariates have a spatially varying effect and…

Methodology · Statistics 2021-02-12 Jakob A. Dambon , Fabio Sigrist , Reinhard Furrer

Post-click conversion rate (CVR) prediction is an essential task for discovering user interests and increasing platform revenues in a range of industrial applications. One of the most challenging problems of this task is the existence of…

Machine Learning · Computer Science 2022-11-15 Quanyu Dai , Haoxuan Li , Peng Wu , Zhenhua Dong , Xiao-Hua Zhou , Rui Zhang , Rui zhang , Jie Sun

In this article a novel approach for training deep neural networks using Bayesian techniques is presented. The Bayesian methodology allows for an easy evaluation of model uncertainty and additionally is robust to overfitting. These are…

Machine Learning · Computer Science 2019-04-03 Konstantin Posch , Jürgen Pilz

Convolutional layers are a major driving force behind the successes of deep learning. Pointwise convolution (PWC) is a 1x1 convolutional filter that is primarily used for parameter reduction. However, the PWC ignores the spatial information…

Computer Vision and Pattern Recognition · Computer Science 2020-02-07 Pratik Mazumder , Pravendra Singh , Vinay Namboodiri

This paper describes a method for performing inference on models chosen by cross-validation. When the test error being minimized in cross-validation is a residual sum of squares it can be written as a quadratic form. This allows us to apply…

Methodology · Statistics 2015-12-01 Joshua R. Loftus

Recently, self-supervised representation learning gives further development in multimedia technology. Most existing self-supervised learning methods are applicable to packaged data. However, when it comes to streamed data, they are…

Computer Vision and Pattern Recognition · Computer Science 2022-11-03 Zhiwei Lin , Yongtao Wang , Hongxiang Lin

Deep kernel learning combines the non-parametric flexibility of kernel methods with the inductive biases of deep learning architectures. We propose a novel deep kernel learning model and stochastic variational inference procedure which…

Machine Learning · Statistics 2016-11-03 Andrew Gordon Wilson , Zhiting Hu , Ruslan Salakhutdinov , Eric P. Xing

A change point detection (CPD) framework assisted by a predictive machine learning model called "Predict and Compare" is introduced and characterised in relation to other state-of-the-art online CPD routines which it outperforms in terms of…

Machine Learning · Computer Science 2024-06-05 Anna-Christina Glock , Florian Sobieczky , Johannes Fürnkranz , Peter Filzmoser , Martin Jech

Cross-validation plays a fundamental role in Machine Learning, enabling robust evaluation of model performance and preventing overestimation on training and validation data. However, one of its drawbacks is the potential to create data…

Machine Learning · Computer Science 2025-08-28 Afonso Martini Spezia , Thomas Fontanari , Mariana Recamonde-Mendoza