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In this paper we present a new approach of incorporating kernels into dictionary learning. The kernel K-SVD algorithm (KKSVD), which has been introduced recently, shows an improvement in classification performance, with relation to its…

Computer Vision and Pattern Recognition · Computer Science 2016-05-25 Alona Golts , Michael Elad

Representing, comparing, and measuring the distance between probability distributions is a key task in computational statistics and machine learning. The choice of representation and the associated distance determine properties of the…

Machine Learning · Statistics 2026-02-26 Masha Naslidnyk

A fundamental challenge in Bayesian inference is efficient representation of a target distribution. Many non-parametric approaches do so by sampling a large number of points using variants of Markov Chain Monte Carlo (MCMC). We propose an…

Machine Learning · Computer Science 2022-04-25 Cole Hawkins , Alec Koppel , Zheng Zhang

Kernel Stein discrepancies (KSDs) have emerged as a powerful tool for quantifying goodness-of-fit over the last decade, featuring numerous successful applications. To the best of our knowledge, all existing KSD estimators with known rate…

Machine Learning · Statistics 2026-03-31 Jose Cribeiro-Ramallo , Agnideep Aich , Florian Kalinke , Ashit Baran Aich , Zoltán Szabó

Kernel Stein discrepancies (KSDs) measure the quality of a distributional approximation and can be computed even when the target density has an intractable normalizing constant. Notable applications include the diagnosis of approximate MCMC…

Machine Learning · Statistics 2025-06-24 Heishiro Kanagawa , Alessandro Barp , Arthur Gretton , Lester Mackey

Modern large-scale kernel-based tests such as maximum mean discrepancy (MMD) and kernelized Stein discrepancy (KSD) optimize kernel hyperparameters on a held-out sample via data splitting to obtain the most powerful test statistics. While…

Machine Learning · Computer Science 2020-10-20 Jonas M. Kübler , Wittawat Jitkrittum , Bernhard Schölkopf , Krikamol Muandet

Knowledge Distillation (KD) has proven effective for compressing large teacher models into smaller student models. While it is well known that student models can achieve similar accuracies as the teachers, it has also been shown that they…

Computer Vision and Pattern Recognition · Computer Science 2024-07-23 Amin Parchami-Araghi , Moritz Böhle , Sukrut Rao , Bernt Schiele

Generalized Bayesian Inference (GBI) provides a flexible framework for updating prior distributions using various loss functions instead of the traditional likelihoods, thereby enhancing the model robustness to model misspecification.…

Machine Learning · Computer Science 2026-01-08 Elham Afzali , Saman Muthukumarana , Liqun Wang

Explaining complex or seemingly simple machine learning models is an important practical problem. We want to explain individual predictions from a complex machine learning model by learning simple, interpretable explanations. Shapley values…

Machine Learning · Statistics 2020-02-07 Kjersti Aas , Martin Jullum , Anders Løland

Being symmetric positive-definite (SPD), covariance matrix has traditionally been used to represent a set of local descriptors in visual recognition. Recent study shows that kernel matrix can give considerably better representation by…

Computer Vision and Pattern Recognition · Computer Science 2017-11-15 Melih Engin , Lei Wang , Luping Zhou , Xinwang Liu

This paper proposes a novel parameter selection strategy for kernel-based gradient descent (KGD) algorithms, integrating bias-variance analysis with the splitting method. We introduce the concept of empirical effective dimension to quantify…

Machine Learning · Statistics 2026-03-05 Xiaotong Liu , Yunwen Lei , Xiangyu Chang , Shao-Bo Lin

We propose a kernel-based nonparametric test of relative goodness of fit, where the goal is to compare two models, both of which may have unobserved latent variables, such that the marginal distribution of the observed variables is…

Machine Learning · Statistics 2023-05-10 Heishiro Kanagawa , Wittawat Jitkrittum , Lester Mackey , Kenji Fukumizu , Arthur Gretton

Risk prediction capitalizing on emerging human genome findings holds great promise for new prediction and prevention strategies. While the large amounts of genetic data generated from high-throughput technologies offer us a unique…

Methodology · Statistics 2021-01-29 Xiaoxi Shen , Xiaoran Tong , Qing Lu

This paper introduces Fast Calibrated Explanations, a method designed for generating rapid, uncertainty-aware explanations for machine learning models. By incorporating perturbation techniques from ConformaSight - a global explanation…

Machine Learning · Computer Science 2024-10-29 Tuwe Löfström , Fatima Rabia Yapicioglu , Alessandra Stramiglio , Helena Löfström , Fabio Vitali

Sliced Stein discrepancy (SSD) and its kernelized variants have demonstrated promising successes in goodness-of-fit tests and model learning in high dimensions. Despite their theoretical elegance, their empirical performance depends…

Machine Learning · Computer Science 2021-07-22 Wenbo Gong , Kaibo Zhang , Yingzhen Li , José Miguel Hernández-Lobato

Chronic Kidney Disease (CKD), where delayed recognition implies premature mortality, is currently experiencing a globally increasing incidence and high cost to health systems. Data mining allows discovering subtle patterns in CKD indicators…

Machine Learning · Computer Science 2023-06-21 Pedro A. Moreno-Sanchez

Model-based approaches to reinforcement learning (MBRL) exhibit favorable performance in practice, but their theoretical guarantees in large spaces are mostly restricted to the setting when transition model is Gaussian or Lipschitz, and…

Machine Learning · Computer Science 2023-05-05 Souradip Chakraborty , Amrit Singh Bedi , Alec Koppel , Brian M. Sadler , Furong Huang , Pratap Tokekar , Dinesh Manocha

As the global population ages, the incidence of Chronic Kidney Disease (CKD) is rising. CKD often remains asymptomatic until advanced stages, which significantly burdens both the healthcare system and patient quality of life. This research…

Artificial Intelligence · Computer Science 2024-04-18 Nantika Nguycharoen

When maximum likelihood estimation is infeasible, one often turns to score matching, contrastive divergence, or minimum probability flow to obtain tractable parameter estimates. We provide a unifying perspective of these techniques as…

Statistics Theory · Mathematics 2022-10-07 Alessandro Barp , Francois-Xavier Briol , Andrew B. Duncan , Mark Girolami , Lester Mackey

Knowledge distillation (KD) is a promising technique for model compression in neural machine translation. However, where the knowledge hides in KD is still not clear, which may hinder the development of KD. In this work, we first unravel…

Computation and Language · Computer Science 2024-07-18 Songming Zhang , Yunlong Liang , Shuaibo Wang , Wenjuan Han , Jian Liu , Jinan Xu , Yufeng Chen