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Class incremental learning (CIL) aims to learn a model that can not only incrementally accommodate new classes, but also maintain the learned knowledge of old classes. Out-of-distribution (OOD) detection in CIL is to retain this incremental…

Computer Vision and Pattern Recognition · Computer Science 2024-07-10 Wenjun Miao , Guansong Pang , Trong-Tung Nguyen , Ruohang Fang , Jin Zheng , Xiao Bai

This paper investigates a class of non-autonomous highly oscillatory ordinary differential equations characterized by a linear component inversely proportional to a small parameter $\varepsilon$, with purely imaginary eigenvalues, and an…

Numerical Analysis · Mathematics 2026-02-05 Zhihao Qi , Weibing Deng , Fuhai Zhu

The problem of out-of-distribution detection for graph classification is far from being solved. The existing models tend to be overconfident about OOD examples or completely ignore the detection task. In this work, we consider this problem…

Machine Learning · Computer Science 2022-06-23 Gleb Bazhenov , Sergei Ivanov , Maxim Panov , Alexey Zaytsev , Evgeny Burnaev

This paper develops a variance estimation framework for matching estimators that enables valid population inference for treatment effects. We provide theoretical analysis of a variance estimator that addresses key limitations in the…

Methodology · Statistics 2025-06-16 Xiang Meng , Aaron Smith , Luke Miratrix

In many real-world prediction tasks, class labels contain information about the relative order between labels that are not captured by commonly used loss functions such as multicategory cross-entropy. Recently, the preference for unimodal…

Machine Learning · Computer Science 2025-03-21 Jaime S. Cardoso , Ricardo Cruz , Tomé Albuquerque

In recent machine learning systems, confidence scores are being utilized more and more to manage selective prediction, whereby a model can abstain from making a prediction when it is unconfident. Yet, conventional metrics like accuracy,…

Machine Learning · Computer Science 2025-05-27 Kourosh Shahnazari , Seyed Moein Ayyoubzadeh , Mohammadali Keshtparvar , Pegah Ghaffari

We propose ODTE, a new ensemble that uses oblique decision trees as base classifiers. Additionally, we introduce STree, the base algorithm for growing oblique decision trees, which leverages support vector machines to define hyperplanes…

Machine Learning · Computer Science 2025-03-18 Ricardo Montañana , José A. Gámez , José M. Puerta

While likelihood is attractive in theory, its estimates by deep generative models (DGMs) are often broken in practice, and perform poorly for out of distribution (OOD) Detection. Various recent works started to consider alternative scores…

Machine Learning · Computer Science 2024-01-11 Sicong Huang , Jiawei He , Kry Yik Chau Lui

Objective prior distributions represent an important tool that allows one to have the advantages of using the Bayesian framework even when information about the parameters of a model is not available. The usual objective approaches work off…

Methodology · Statistics 2018-09-25 Fabrizio Leisen , Cristiano Villa , Stephen G. Walker

When evaluating and comparing models using leave-one-out cross-validation (LOO-CV), the uncertainty of the estimate is typically assessed using the variance of the sampling distribution. Considering the uncertainty is important, as the…

Methodology · Statistics 2022-02-16 Tuomas Sivula , Måns Magnusson , Aki Vehtari

Open-Set Classification (OSC) intends to adapt closed-set classification models to real-world scenarios, where the classifier must correctly label samples of known classes while rejecting previously unseen unknown samples. Only recently,…

Computer Vision and Pattern Recognition · Computer Science 2022-10-19 Andres Palechor , Annesha Bhoumik , Manuel Günther

Current supervised learning can learn spurious correlation during the data-fitting process, imposing issues regarding interpretability, out-of-distribution (OOD) generalization, and robustness. To avoid spurious correlation, we propose a…

Machine Learning · Computer Science 2021-04-29 Xinwei Sun , Botong Wu , Xiangyu Zheng , Chang Liu , Wei Chen , Tao Qin , Tie-yan Liu

In this paper, we propose a novel method to select significant variables and estimate the corresponding coefficients in multiple-index models with a group structure. All existing approaches for single-index models cannot be extended…

Statistics Theory · Mathematics 2015-04-13 Tao Wang , Peirong Xu , Lixing Zhu

Modern statistics provides an ever-expanding toolkit for estimating unknown parameters. Consequently, applied statisticians frequently face a difficult decision: retain a parameter estimate from a familiar method or replace it with an…

Methodology · Statistics 2022-12-20 Brian L. Trippe , Sameer K. Deshpande , Tamara Broderick

Foundation models often generate unreliable answers, while heuristic uncertainty estimators fail to fully distinguish correct from incorrect outputs, causing users to accept erroneous answers without any statistical guarantee. We address…

Artificial Intelligence · Computer Science 2026-05-27 Zhiyuan Wang , Aniri , Tianlong Chen , Yue Zhang , Heng Tao Shen , Xiaoshuang Shi , Kaidi Xu

Variance estimation in the linear model when $p > n$ is a difficult problem. Standard least squares estimation techniques do not apply. Several variance estimators have been proposed in the literature, all with accompanying asymptotic…

Methodology · Statistics 2014-01-30 Stephen Reid , Robert Tibshirani , Jerome Friedman

Out-of-distribution (OOD) detection remains a fundamental challenge for deep neural networks, particularly due to overconfident predictions on unseen OOD samples during testing. We reveal a key insight: OOD samples predicted as the same…

Computer Vision and Pattern Recognition · Computer Science 2026-01-21 Yanqi Wu , Qichao Chen , Runhe Lai , Xinhua Lu , Jia-Xin Zhuang , Zhilin Zhao , Wei-Shi Zheng , Ruixuan Wang

This paper presents a novel evaluation framework for Out-of-Distribution (OOD) detection that aims to assess the performance of machine learning models in more realistic settings. We observed that the real-world requirements for testing OOD…

Computer Vision and Pattern Recognition · Computer Science 2023-09-01 Vahid Reza Khazaie , Anthony Wong , Mohammad Sabokrou

Many current applications in data science need rich model classes to adequately represent the statistics that may be driving the observations. But rich model classes may be too complex to admit estimators that converge to the truth with…

Information Theory · Computer Science 2022-05-04 N. Santhanam , V. Anantharam , W. Szpankowski

We consider the problem of estimating a function defined over $n$ locations on a $d$-dimensional grid (having all side lengths equal to $n^{1/d}$). When the function is constrained to have discrete total variation bounded by $C_n$, we…

Statistics Theory · Mathematics 2016-05-27 Veeranjaneyulu Sadhanala , Yu-Xiang Wang , Ryan Tibshirani