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We propose Kernel Hamiltonian Monte Carlo (KMC), a gradient-free adaptive MCMC algorithm based on Hamiltonian Monte Carlo (HMC). On target densities where classical HMC is not an option due to intractable gradients, KMC adaptively learns…

Machine Learning · Statistics 2015-11-25 Heiko Strathmann , Dino Sejdinovic , Samuel Livingstone , Zoltan Szabo , Arthur Gretton

Understanding how changes in explanatory features affect the unconditional distribution of the outcome is important in many applications. However, existing black-box predictive models are not readily suited for analyzing such questions. In…

Machine Learning · Statistics 2024-12-10 Jing Zhou , Chunlin Li

We introduce Isolation Distributional Kernel as a new way to measure the similarity between two distributions. Existing approaches based on kernel mean embedding, which convert a point kernel to a distributional kernel, have two key issues:…

Machine Learning · Computer Science 2020-09-28 Kai Ming Ting , Bi-Cun Xu , Takashi Washio , Zhi-Hua Zhou

Post-hoc attribution methods aim to explain deep learning predictions by highlighting influential input pixels. However, these explanations are highly non-robust: small, imperceptible input perturbations can drastically alter the…

Machine Learning · Computer Science 2025-06-19 Alaa Anani , Tobias Lorenz , Mario Fritz , Bernt Schiele

We present Hindsight Network Credit Assignment (HNCA), a novel learning method for stochastic neural networks, which works by assigning credit to each neuron's stochastic output based on how it influences the output of its immediate…

Machine Learning · Computer Science 2020-11-26 Kenny Young

Hematoxylin and eosin (H&E)-stained slides are central to cancer diagnosis and monitoring, visualizing tissue architecture and cellular morphology. However, H&E lacks the molecular specificity needed to distinguish cell states and…

Image and Video Processing · Electrical Eng. & Systems 2026-04-14 Tushar Kataria , Beatrice Knudsen , Shireen Y. Elhabian

Constraint-based causal discovery (CCD) algorithms require fast and accurate conditional independence (CI) testing. The Kernel Conditional Independence Test (KCIT) is currently one of the most popular CI tests in the non-parametric setting,…

Methodology · Statistics 2017-04-14 Eric V. Strobl , Kun Zhang , Shyam Visweswaran

The deployment of deep learning models in critical domains necessitates a balance between high accuracy and interpretability. We introduce SIC, an inherently interpretable neural network that provides local and global explanations of its…

Computer Vision and Pattern Recognition · Computer Science 2025-07-21 Tom Nuno Wolf , Emre Kavak , Fabian Bongratz , Christian Wachinger

OpenCL is an attractive model for heterogeneous high-performance computing systems, with wide support from hardware vendors and significant performance portability. To support efficient scheduling on HPC systems it is necessary to perform…

Distributed, Parallel, and Cluster Computing · Computer Science 2018-11-04 Beau Johnston , Greg Falzon , Josh Milthorpe

In this work, we analyze the learnability of reproducing kernel Hilbert spaces (RKHS) under the $L^\infty$ norm, which is critical for understanding the performance of kernel methods and random feature models in safety- and…

Machine Learning · Statistics 2023-06-06 Hongrui Chen , Jihao Long , Lei Wu

We propose a new decentralized robust kernel-based learning algorithm within the framework of reproducing kernel Hilbert spaces (RKHSs) by utilizing a networked system that can be represented as a connected graph. The robust loss function…

Machine Learning · Computer Science 2025-08-18 Zhan Yu , Zhongjie Shi , Ding-Xuan Zhou

Imaging and hyperspectral data analysis is central to progress across biology, medicine, chemistry, and physics. The core challenge lies in converting high-resolution or high-dimensional datasets into interpretable representations that…

Image and Video Processing · Electrical Eng. & Systems 2025-12-29 Kamyar Barakati , Yu Liu , Utkarsh Pratiush , Boris N. Slautin , Sergei V. Kalinin

Fine-grained classification of whole slide images (WSIs) is essential in precision oncology, enabling precise cancer diagnosis and personalized treatment strategies. The core of this task involves distinguishing subtle morphological…

Computer Vision and Pattern Recognition · Computer Science 2025-04-07 Cheng Jin , Luyang Luo , Huangjing Lin , Jun Hou , Hao Chen

Metric learning for classification has been intensively studied over the last decade. The idea is to learn a metric space induced from a normed vector space on which data from different classes are well separated. Different measures of the…

Machine Learning · Computer Science 2019-10-22 Yinan Yu , Tomas McKelvey

To assist humans in efficiently validating RAG-generated content, developing a fine-grained attribution mechanism that provides supporting evidence from retrieved documents for every answer span is essential. Existing fine-grained…

Computation and Language · Computer Science 2024-12-17 Qiang Ding , Lvzhou Luo , Yixuan Cao , Ping Luo

Heatmap-based regression overcomes the lack of spatial and contextual information of direct coordinate regression, and has revolutionized the task of face alignment. Yet it suffers from quantization errors caused by neglecting subpixel…

Computer Vision and Pattern Recognition · Computer Science 2022-04-19 Xing Lan , Qinghao Hu , Qiang Chen , Jian Xue , Jian Cheng

We present several generative and predictive algorithms based on the RKHS (reproducing kernel Hilbert spaces) methodology, which, most importantly, are scale up efficiently with large datasets or high-dimensional data. It is well recognized…

Numerical Analysis · Mathematics 2024-12-12 Philippe G. LeFloch , Jean-Marc Mercier , Shohruh Miryusupov

Handling incomplete and heterogeneous data remains a central challenge in real-world machine learning, where missing values may follow complex mechanisms (MCAR, MAR, MNAR) and features can be of mixed types (numerical and categorical).…

Machine Learning · Computer Science 2025-07-30 Youran Zhou , Mohamed Reda Bouadjenek , Jonathan Wells , Sunil Aryal

In supervised learning using kernel methods, we often encounter a large-scale finite-sum minimization over a reproducing kernel Hilbert space (RKHS). Large-scale finite-sum problems can be solved using efficient variants of Newton method,…

Machine Learning · Computer Science 2022-06-07 Ting-Jui Chang , Shahin Shahrampour

Test of independence plays a fundamental role in many statistical techniques. Among the nonparametric approaches, the distance-based methods (such as the distance correlation based hypotheses testing for independence) have numerous…

Methodology · Statistics 2017-01-24 Cheng Huang , Xiaoming Huo