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Graph topology inference, i.e., learning graphs from a given set of nodal observations, is a significant task in many application domains. Existing approaches are mostly limited to learning a single graph assuming that the observed data is…

Signal Processing · Electrical Eng. & Systems 2024-01-26 Abdullah Karaaslanli , Selin Aviyente

Variational methods for revealing visual concepts learned by convolutional neural networks have gained significant attention during the last years. Being based on noisy gradients obtained via back-propagation such methods require the…

Machine Learning · Computer Science 2018-05-02 Maximilian Baust , Florian Ludwig , Christian Rupprecht , Matthias Kohl , Stefan Braunewell

Feature selection with specific multivariate performance measures is the key to the success of many applications, such as image retrieval and text classification. The existing feature selection methods are usually designed for…

Machine Learning · Computer Science 2015-03-19 Qi Mao , Ivor W. Tsang

This paper addresses feature subset selection for Support Vector Machines (SVMs) based on the cross-validation criterion. Unlike statistical criteria such as the Akaike information criterion (AIC) and the Bayesian information criterion…

Optimization and Control · Mathematics 2026-05-11 Masaharu Mori , Shunnosuke Ikeda , Ryuta Tamura , Yuichi Takano , Ryuhei Miyashiro

Cross-validation (CV) is a common method to tune machine learning methods and can be used for model selection in regression as well. Because of the structured nature of small, traditional experimental designs, the literature has warned…

Applications · Statistics 2025-06-18 Maria L. Weese , Byran J. Smucker , David J. Edwards

We address the component-based regularisation of a multivariate Generalized Linear Mixed Model (GLMM). A set of random responses Y is modelled by a GLMM, using a set X of explanatory variables, a set T of additional covariates, and random…

Methodology · Statistics 2019-08-22 Jocelyn Chauvet , Catherine Trottier , Xavier Bry , Frederic Mortier

Cross-view geo-localization (CVGL) aims to match images of the same location captured from drastically different viewpoints. Despite recent progress, existing methods still face two key challenges: (1) achieving robustness under severe…

Computer Vision and Pattern Recognition · Computer Science 2025-09-26 Xiaowei Wang , Di Wang , Ke Li , Yifeng Wang , Chengjian Wang , Libin Sun , Zhihong Wu , Yiming Zhang , Quan Wang

Sub-sampling is applied to simulated $T_1$-$D$ NMR signals and its influence on inversion performance is evaluated. For this different levels of sub-sampling were employed ranging from the fully sampled signal down to only less than two…

Chemical Physics · Physics 2024-01-02 Julian B. B. Beckmann , Mick D. Mantle , Andrew J. Sederman , Lynn F. Gladden

Regularization for optimization is a crucial technique to avoid overfitting in machine learning. In order to obtain the best performance, we usually train a model by tuning the regularization parameters. It becomes costly, however, when a…

Machine Learning · Computer Science 2020-08-18 Jingfeng Wu , Vladimir Braverman , Lin F. Yang

Variational methods have become an important kind of methods in signal and image restoration - a typical inverse problem. One important minimization model consists of the squared $\ell_2$ data fidelity (corresponding to Gaussian noise) and…

Numerical Analysis · Mathematics 2018-06-15 Chunlin Wu , Zhifang Liu , Shuang Wen

The effects of different parametrizations on the convergence of Bayesian computational algorithms for hierarchical models are well explored. Techniques such as centering, noncentering and partial noncentering can be used to accelerate…

Computation · Statistics 2015-03-20 Linda S. L. Tan , David J. Nott

We review the concept of Support Vector Machines (SVMs) and discuss examples of their use in a number of scenarios. Several SVM implementations have been used in HEP and we exemplify this algorithm using the Toolkit for Multivariate…

Data Analysis, Statistics and Probability · Physics 2017-12-06 Adrian Bevan , Rodrigo Gamboa Goñi , Jon Hays , Tom Stevenson

Classification is one of the main areas of pattern recognition research, and within it, Support Vector Machine (SVM) is one of the most popular methods outside of field of deep learning -- and a de-facto reference for many Machine Learning…

Machine Learning · Computer Science 2024-02-23 Michał Cholewa , Michał Romaszewski , Przemysław Głomb

Machine learning technologies have been used in a wide range of practical systems. In practical situations, it is natural to expect the input-output pairs of a machine learning model to satisfy some requirements. However, it is difficult to…

Machine Learning · Computer Science 2022-10-12 Masaaki Nishino , Kengo Nakamura , Norihito Yasuda

For Internet applications like sponsored search, cautions need to be taken when using machine learning to optimize their mechanisms (e.g., auction) since self-interested agents in these applications may change their behaviors (and thus the…

Machine Learning · Computer Science 2014-10-14 Haifang Li , Fei Tian , Wei Chen , Tao Qin , Tie-Yan Liu

Cross-validation (CV) is a technique for evaluating the ability of statistical models/learning systems based on a given data set. Despite its wide applicability, the rather heavy computational cost can prevent its use as the system size…

Machine Learning · Statistics 2016-10-26 Yoshiyuki Kabashima , Tomoyuki Obuchi , Makoto Uemura

Despite the remarkable success of deep neural networks (DNNs) in computer vision, they fail to remain high-performing when facing distribution shifts between training and testing data. In this paper, we propose Knowledge-Guided Visual…

Computer Vision and Pattern Recognition · Computer Science 2025-02-13 Hongkuan Zhou , Lavdim Halilaj , Sebastian Monka , Stefan Schmid , Yuqicheng Zhu , Bo Xiong , Steffen Staab

In large-scale metric localization, an incorrect result during retrieval will lead to an incorrect pose estimate or loop closure. Re-ranking methods propose to take into account all the top retrieval candidates and re-order them to increase…

Computer Vision and Pattern Recognition · Computer Science 2023-04-27 Kavisha Vidanapathirana , Peyman Moghadam , Sridha Sridharan , Clinton Fookes

We analyze the statistical properties of generalized cross-validation (GCV) and leave-one-out cross-validation (LOOCV) applied to early-stopped gradient descent (GD) in high-dimensional least squares regression. We prove that GCV is…

Statistics Theory · Mathematics 2024-02-27 Pratik Patil , Yuchen Wu , Ryan J. Tibshirani

Cross-validation (CV) is a popular approach for assessing and selecting predictive models. However, when the number of folds is large, CV suffers from a need to repeatedly refit a learning procedure on a large number of training datasets.…

Machine Learning · Statistics 2020-06-12 Ashia Wilson , Maximilian Kasy , Lester Mackey
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