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The generalization of machine learning models has a complex dependence on the data, model and learning algorithm. We study train and test performance, as well as the generalization gap given by the mean of their difference over different…

Machine Learning · Statistics 2022-06-29 Carlos A. Gomez-Uribe

Graph anomaly detection (GAD) aims to identify nodes that deviate from normal patterns in structure or features. While recent GNN-based approaches have advanced this task, they struggle with two major challenges: 1) homophily disparity,…

Machine Learning · Computer Science 2026-03-10 Yunhui Liu , Qizhuo Xie , Yinfeng Chen , Xudong Jin , Tao Zheng , Bin Chong , Tieke He

Ensemble learning aims to improve generalization ability by using multiple base learners. It is well-known that to construct a good ensemble, the base learners should be accurate as well as diverse. In this paper, unlabeled data is…

Machine Learning · Computer Science 2010-09-28 Min-Ling Zhang , Zhi-Hua Zhou

This paper studies high-dimensional regression with two-way structured data. To estimate the high-dimensional coefficient vector, we propose the generalized matrix decomposition regression (GMDR) to efficiently leverage any auxiliary…

Methodology · Statistics 2023-02-17 Yue Wang , Ali Shojaie , Timothy W. Randolph , Parker Knight , Jing Ma

We study the generalization properties of the popular stochastic optimization method known as stochastic gradient descent (SGD) for optimizing general non-convex loss functions. Our main contribution is providing upper bounds on the…

Machine Learning · Computer Science 2021-08-17 Gergely Neu , Gintare Karolina Dziugaite , Mahdi Haghifam , Daniel M. Roy

This article addresses the Generalized Additive Decomposition (GAD) of symmetric tensors, that is, degree-$d$ forms $f \in \mathcal{S}_d$. From a geometric perspective, a GAD corresponds to representing a point on a secant of osculating…

Commutative Algebra · Mathematics 2025-10-31 Enrica Barrilli , Bernard Mourrain , Daniele Taufer

Open set recognition (OSR) requires the model to classify samples that belong to closed sets while rejecting unknown samples during test. Currently, generative models often perform better than discriminative models in OSR, but recent…

Computer Vision and Pattern Recognition · Computer Science 2024-01-15 Yu Wang , Junxian Mu , Pengfei Zhu , Qinghua Hu

Evaluation of per-sample uncertainty quantification from neural networks is essential for decision-making involving high-risk applications. A common approach is to use the predictive distribution from Bayesian or approximation models and…

Machine Learning · Computer Science 2025-09-12 H. Martin Gillis , Isaac Xu , Thomas Trappenberg

Ensemble learning is a popular technique to improve the accuracy of machine learning models. It traditionally hinges on the rationale that aggregating multiple weak models can lead to better models with lower variance and hence higher…

Optimization and Control · Mathematics 2026-01-06 Huajie Qian , Donghao Ying , Henry Lam , Wotao Yin

Evidential Deep Learning (EDL) has emerged as an efficient, sampling-free strategy for uncertainty estimation. A series of EDL variants have been proposed to address specific limitations of the original framework, achieving notable success.…

Machine Learning · Computer Science 2026-05-26 Yuanye Liu , Yibo Gao , Yuanyang Chen , Xiahai Zhuang

Traditional Time-series Anomaly Detection (TAD) methods often struggle with the composite nature of complex time-series data and a diverse array of anomalies. We introduce TADNet, an end-to-end TAD model that leverages Seasonal-Trend…

Machine Learning · Computer Science 2023-12-15 Zhenwei Zhang , Ruiqi Wang , Ran Ding , Yuantao Gu

Decomposition plays a significant role in cooperative co-evolution which shows great potential in large scale black-box optimization. However, current popular decomposition algorithms generally require to sample and evaluate a large number…

Optimization and Control · Mathematics 2019-05-30 Zhigang Ren , An Chen , Yaochu Jin , Wenhua Guo , Yongsheng Liang , Zuren Feng

Deep learning-based trajectory prediction models for autonomous driving often struggle with generalization to out-of-distribution (OOD) scenarios, sometimes performing worse than simple rule-based models. To address this limitation, we…

Robotics · Computer Science 2024-12-23 Jinning Li , Jiachen Li , Sangjae Bae , David Isele

From the sampling of data to the initialisation of parameters, randomness is ubiquitous in modern Machine Learning practice. Understanding the statistical fluctuations engendered by the different sources of randomness in prediction is…

Machine Learning · Statistics 2022-10-03 Bruno Loureiro , Cédric Gerbelot , Maria Refinetti , Gabriele Sicuro , Florent Krzakala

We develop an encompassing framework for matching, covariate balancing, and doubly-robust methods for causal inference from observational data called generalized optimal matching (GOM). The framework is given by generalizing a new…

Machine Learning · Statistics 2017-10-30 Nathan Kallus

In this paper, we study the performance of extremum estimators from the perspective of generalization ability (GA): the ability of a model to predict outcomes in new samples from the same population. By adapting the classical concentration…

Machine Learning · Statistics 2016-09-14 Ning Xu , Jian Hong , Timothy C. G. Fisher

Generalist graph anomaly detection (GAD) aims to detect anomalies on unseen graphs without graph-specific retraining. Nevertheless, existing approaches primarily focus on aligning heterogeneous features across different data domains via…

Machine Learning · Computer Science 2026-05-26 Yujing Liu , Yixin Liu , Yu Zheng , Alan Wee-Chung Liew , Xiaofeng Cao , Shirui Pan

Generalist Anomaly Detection (GAD) aims to train a unified model on an original domain that can detect anomalies in new target domains. Previous GAD methods primarily use only normal samples as references, overlooking the valuable…

Computer Vision and Pattern Recognition · Computer Science 2025-10-20 Yuexin Wang , Xiaolei Wang , Yizheng Gong , Jimin Xiao

Existing generalization theories analyze the generalization performance mainly based on the model complexity and training process. The ignorance of the task properties, which results from the widely used IID assumption, makes these theories…

Machine Learning · Computer Science 2019-12-02 Guanhua Zheng , Jitao Sang , Houqiang Li , Jian Yu , Changsheng Xu

Augmentation by generative modelling yields a promising alternative to the accumulation of surgical data, where ethical, organisational and regulatory aspects must be considered. Yet, the joint synthesis of (image, mask) pairs for…

Computer Vision and Pattern Recognition · Computer Science 2025-07-02 Yannik Frisch , Christina Bornberg , Moritz Fuchs , Anirban Mukhopadhyay