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Anomaly Detection is a crucial step for critical applications such in the industrial, medical or cybersecurity domains. These sectors share the same requirement of handling differently the different types of classification errors. Indeed,…

Machine Learning · Computer Science 2025-04-03 Arnaud Bougaham , Benoît Frénay

The area under receiver operating characteristics (AUC) is the standard measure for comparison of anomaly detectors. Its advantage is in providing a scalar number that allows a natural ordering and is independent on a threshold, which…

Machine Learning · Computer Science 2023-05-09 Vít Škvára , Tomáš Pevný , Václav Šmídl

We formulate the local ranking problem in the framework of bipartite ranking where the goal is to focus on the best instances. We propose a methodology based on the construction of real-valued scoring functions. We study empirical risk…

Statistics Theory · Mathematics 2016-08-16 Stéphan Clémençon , Nicolas Vayatis

In statistics, it is common to encounter multi-modal and non-smooth likelihood (or objective function) maximization problems, where the parameters have known upper and lower bounds. This paper proposes a novel derivative-free global…

Optimization and Control · Mathematics 2023-09-14 Priyam Das

Various post-training uniform quantization methods have usually been studied based on convex optimization. As a result, most previous ones rely on the quantization error minimization and/or quadratic approximations. Such approaches are…

Machine Learning · Computer Science 2021-05-06 Byeongwook Kim , Dongsoo Lee , Yeonju Ro , Yongkweon Jeon , Se Jung Kwon , Baeseong Park , Daehwan Oh

In machine learning (ML), a widespread claim is that the area under the precision-recall curve (AUPRC) is a superior metric for model comparison to the area under the receiver operating characteristic (AUROC) for tasks with class imbalance.…

Machine Learning · Computer Science 2025-01-15 Matthew B. A. McDermott , Haoran Zhang , Lasse Hyldig Hansen , Giovanni Angelotti , Jack Gallifant

In many scientific disciplines structures in high-dimensional data have to be found, e.g., in stellar spectra, in genome data, or in face recognition tasks. In this work we present a novel approach to non-linear dimensionality reduction. It…

Machine Learning · Statistics 2011-09-27 Oliver Kramer

Ad ranking systems must simultaneously optimize multiple objectives including click-through rate (CTR), conversion rate (CVR), revenue, and user experience metrics. However, production systems face critical challenges: score scale…

Machine Learning · Computer Science 2026-02-24 Xikai Yang , Sebastian Sun , Yilin Li , Yue Xing , Ming Wang , Yang Wang

Quantum computing (QC) seems to show potential for application in machine learning (ML). In particular quantum kernel methods (QKM) exhibit promising properties for use in supervised ML tasks. However, a major disadvantage of kernel methods…

Quantum Physics · Physics 2025-01-14 Kilian Tscharke , Sebastian Issel , Pascal Debus

This paper addresses the optimization problem of minimizing non-convex continuous functions, which is relevant in the context of high-dimensional machine learning applications characterized by over-parametrization. We analyze a randomized…

Machine Learning · Computer Science 2025-02-28 Jim Zhao , Aurelien Lucchi , Nikita Doikov

Rating scales are used to elicit data about qualitative entities (e.g., research collaboration). This study presents an innovative method for reducing the number of rating scale items without the predictability loss. The "area under the…

Nonlinear component analysis such as kernel Principle Component Analysis (KPCA) and kernel Canonical Correlation Analysis (KCCA) are widely used in machine learning, statistics and data analysis, but they can not scale up to big datasets.…

Machine Learning · Computer Science 2016-01-12 Bo Xie , Yingyu Liang , Le Song

Algebraic Subspace Clustering (ASC) is a simple and elegant method based on polynomial fitting and differentiation for clustering noiseless data drawn from an arbitrary union of subspaces. In practice, however, ASC is limited to…

Computer Vision and Pattern Recognition · Computer Science 2015-10-16 Manolis C. Tsakiris , Rene Vidal

Optimal margin Distribution Machine (ODM) is a newly proposed statistical learning framework rooting in the novel margin theory, which demonstrates better generalization performance than the traditional large margin based counterparts.…

Machine Learning · Computer Science 2023-06-13 Yilin Wang , Nan Cao , Teng Zhang , Xuanhua Shi , Hai Jin

Link prediction is one of the most productive branches in network science, aiming to predict links that would have existed but have not yet been observed, or links that will appear during the evolution of the network. Over nearly two…

Social and Information Networks · Computer Science 2024-10-01 Shuyan Wan , Yilin Bi , Xinshan Jiao , Tao Zhou

This paper focuses on scalability and robustness of spectral clustering for extremely large-scale datasets with limited resources. Two novel algorithms are proposed, namely, ultra-scalable spectral clustering (U-SPEC) and ultra-scalable…

Machine Learning · Computer Science 2019-03-06 Dong Huang , Chang-Dong Wang , Jian-Sheng Wu , Jian-Huang Lai , Chee-Keong Kwoh

Model Predictive Control (MPC) is an optimal control algorithm with strong stability and robustness guarantees. Despite its popularity in robotics and industrial applications, the main challenge in deploying MPC is its high computation…

Systems and Control · Electrical Eng. & Systems 2024-12-31 Camilo Gonzalez , Houshyar Asadi , Lars Kooijman , Chee Peng Lim

Emergence of artificial intelligence techniques in biomedical applications urges the researchers to pay more attention on the uncertainty quantification (UQ) in machine-assisted medical decision making. For classification tasks, prior…

Machine Learning · Computer Science 2019-09-17 Xiaoyang Huang , Jiancheng Yang , Linguo Li , Haoran Deng , Bingbing Ni , Yi Xu

Over the past five decades, k-means has become the clustering algorithm of choice in many application domains primarily due to its simplicity, time/space efficiency, and invariance to the ordering of the data points. Unfortunately, the…

Machine Learning · Computer Science 2014-09-16 M. Emre Celebi , Hassan A. Kingravi

Subspace clustering (SC) is a popular method for dimensionality reduction of high-dimensional data, where it generalizes Principal Component Analysis (PCA). Recently, several methods have been proposed to enhance the robustness of PCA and…

Data Structures and Algorithms · Computer Science 2015-06-09 Sanghyuk Chun , Yung-Kyun Noh , Jinwoo Shin
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