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Quantifying and evaluating image complexity can be instrumental in enhancing the performance of various computer vision tasks. Supervised learning can effectively learn image complexity features from well-annotated datasets. However,…

Computer Vision and Pattern Recognition · Computer Science 2024-08-07 Shipeng Liu , Liang Zhao , Dengfeng Chen , Zhanping Song

The goal of continual learning (CL) is to train a model that can solve multiple tasks presented sequentially. Recent CL approaches have achieved strong performance by leveraging large pre-trained models that generalize well to downstream…

Machine Learning · Computer Science 2025-05-20 Liangzu Peng , Juan Elenter , Joshua Agterberg , Alejandro Ribeiro , René Vidal

Cylindrical Algebraic Decomposition (CAD) is a key tool in computational algebraic geometry, best known as a procedure to enable Quantifier Elimination over real-closed fields. However, it has a worst case complexity doubly exponential in…

Symbolic Computation · Computer Science 2019-11-25 Zongyan Huang , Matthew England , David Wilson , James H. Davenport , Lawrence C. Paulson

Bayesian cross-validation (CV) is a popular method for predictive model assessment that is simple to implement and broadly applicable. A wide range of CV schemes is available for time series applications, including generic leave-one-out…

Methodology · Statistics 2023-10-12 Alex Cooper , Dan Simpson , Lauren Kennedy , Catherine Forbes , Aki Vehtari

Cross-view geo-localisation (CVGL) aims to estimate the geographic location of a query image by matching it with images from a large-scale database. However, the significant view-point discrepancies present considerable challenges for…

Computer Vision and Pattern Recognition · Computer Science 2026-01-01 Hualin Ye , Bingxi Liu , Jixiang Du , Yu Qin , Ziyi Chen , Hong Zhang

Two key tasks in high-dimensional regularized regression are tuning the regularization strength for accurate predictions and estimating the out-of-sample risk. It is known that the standard approach -- $k$-fold cross-validation -- is…

Statistics Theory · Mathematics 2025-10-24 Kevin Luo , Yufan Li , Pragya Sur

Object-Centric Learning (OCL) aggregates image or video feature maps into object-level feature vectors, termed \textit{slots}. It's self-supervision of reconstructing the input from slots struggles with complex object textures, thus Vision…

Computer Vision and Pattern Recognition · Computer Science 2025-11-11 Rongzhen Zhao , Vivienne Wang , Juho Kannala , Joni Pajarinen

This paper presents Two-Stage LKPLO, a novel multi-stage outlier detection framework that overcomes the coexisting limitations of conventional projection-based methods: their reliance on a fixed statistical metric and their assumption of a…

Machine Learning · Computer Science 2025-11-04 Akira Tamamori

We study the mutual information between (certain summaries of) the output of a learning algorithm and its $n$ training data, conditional on a supersample of $n+1$ i.i.d. data from which the training data is chosen at random without…

Machine Learning · Computer Science 2022-06-30 Mahdi Haghifam , Shay Moran , Daniel M. Roy , Gintare Karolina Dziugaite

Quantum computing, with its potential to enhance various machine learning tasks, allows significant advancements in kernel calculation and model precision. Utilizing the one-class Support Vector Machine alongside a quantum kernel, known for…

Kernel method-based one-class classifier is mainly used for outlier or novelty detection. In this letter, kernel ridge regression (KRR) based one-class classifier (KOC) has been extended for learning using privileged information (LUPI).…

Machine Learning · Computer Science 2019-04-18 Chandan Gautam , Aruna Tiwari , M. Tanveer

Kernel approximation using randomized feature maps has recently gained a lot of interest. In this work, we identify that previous approaches for polynomial kernel approximation create maps that are rank deficient, and therefore do not…

Machine Learning · Statistics 2013-12-18 Raffay Hamid , Ying Xiao , Alex Gittens , Dennis DeCoste

Deep neural networks have recently achieved state of the art performance thanks to new training algorithms for rapid parameter estimation and new regularization methods to reduce overfitting. However, in practice the network architecture…

Machine Learning · Computer Science 2016-03-04 Minyoung Kim , Luca Rigazio

Many cluster similarity indices are used to evaluate clustering algorithms, and choosing the best one for a particular task remains an open problem. We demonstrate that this problem is crucial: there are many disagreements among the…

Discrete Mathematics · Computer Science 2021-08-27 Martijn Gösgens , Alexey Tikhonov , Liudmila Prokhorenkova

Multiple kernel learning (MKL) algorithms combine different base kernels to obtain a more efficient representation in the feature space. Focusing on discriminative tasks, MKL has been used successfully for feature selection and finding the…

Machine Learning · Computer Science 2019-03-14 Babak Hosseini , Barbara Hammer

There is a growing gap between the impressive results of deep image generative models and classical algorithms that offer theoretical guarantees. The former suffer from mode collapse or memorization issues, limiting their application to…

Machine Learning · Statistics 2023-06-02 Florentin Guth , Etienne Lempereur , Joan Bruna , Stéphane Mallat

The lasso procedure is ubiquitous in the statistical and signal processing literature, and as such, is the target of substantial theoretical and applied research. While much of this research focuses on the desirable properties that lasso…

Statistics Theory · Mathematics 2013-08-06 Darren Homrighausen , Daniel J. McDonald

Multiple kernel learning (MKL) method is generally believed to perform better than single kernel method. However, some empirical studies show that this is not always true: the combination of multiple kernels may even yield an even worse…

Machine Learning · Statistics 2018-06-21 Zhao Kang , Xiao Lu , Jinfeng Yi , Zenglin Xu

Noncentrosymmetric materials play a critical role in many important applications such as laser technology, communication systems,quantum computing, cybersecurity, and etc. However, the experimental discovery of new noncentrosymmetric…

Computational Physics · Physics 2020-06-30 Yuqi Song , Joseph Lindsay , Yong Zhao , Alireza Nasiri , Steph-Yves Louis , Jie Ling , Ming Hu , Jianjun Hu

Cross validation is widely used for selecting tuning parameters in regularization methods, but it is computationally intensive in general. To lessen its computational burden, approximation schemes such as generalized approximate cross…

Methodology · Statistics 2024-12-02 Shanshan Tu , Yunzhang Zhu , Yoonkyung Lee , Qiuyu Gu , Haozhen Yu
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