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In this paper, Kernel PCA is reinterpreted as the solution to a convex optimization problem. Actually, there is a constrained convex problem for each principal component, so that the constraints guarantee that the principal component is…

Machine Learning · Computer Science 2017-10-25 Carlos M. Alaíz , Michaël Fanuel , Johan A. K. Suykens

Kernel Bayesian inference is a principled approach to nonparametric inference in probabilistic graphical models, where probabilistic relationships between variables are learned from data in a nonparametric manner. Various algorithms of…

Machine Learning · Statistics 2019-04-18 Yu Nishiyama , Motonobu Kanagawa , Arthur Gretton , Kenji Fukumizu

Conformal prediction offers a distribution-free framework for constructing prediction sets with finite-sample coverage. Yet, efficiently leveraging multiple conformity scores to reduce prediction set size remains a major open challenge.…

Methodology · Statistics 2025-11-18 Congbin Xu , Yue Yu , Haojie Ren , Zhaojun Wang , Changliang Zou

The Cram\'er-Rao bound (CRB), a well-known lower bound on the performance of any unbiased parameter estimator, has been used to study a wide variety of problems. However, to obtain the CRB, requires an analytical expression for the…

Machine Learning · Computer Science 2022-10-11 Hai Victor Habi , Hagit Messer , Yoram Bresler

Recently, evolutionary reinforcement learning has obtained much attention in various domains. Maintaining a population of actors, evolutionary reinforcement learning utilises the collected experiences to improve the behaviour policy through…

Neural and Evolutionary Computing · Computer Science 2024-08-02 Chengpeng Hu , Jialin Liu , Xin Yao

We present a data-driven method for computing approximate forward reachable sets using separating kernels in a reproducing kernel Hilbert space. We frame the problem as a support estimation problem, and learn a classifier of the support as…

Optimization and Control · Mathematics 2020-11-20 Adam J. Thorpe , Kendric R. Ortiz , Meeko M. K. Oishi

Collaborative filtering is the simplest but oldest machine learning algorithm in the field of recommender systems. In spite of its long history, it remains a discussion topic in research venues. Usually people use users/items whose…

Information Retrieval · Computer Science 2023-03-09 Hao Wang

In this paper, we present a kernel-based learning approach for the 2018 Complex Word Identification (CWI) Shared Task. Our approach is based on combining multiple low-level features, such as character n-grams, with high-level semantic…

Computation and Language · Computer Science 2018-05-23 Andrei M. Butnaru , Radu Tudor Ionescu

While deep learning-based classification is generally tackled using standardized approaches, a wide variety of techniques are employed for regression. In computer vision, one particularly popular such technique is that of confidence-based…

Machine Learning · Computer Science 2020-07-21 Fredrik K. Gustafsson , Martin Danelljan , Goutam Bhat , Thomas B. Schön

Correntropy is a second order statistical measure in kernel space, which has been successfully applied in robust learning and signal processing. In this paper, we define a nonsecond order statistical measure in kernel space, called the…

Machine Learning · Statistics 2016-12-22 Badong Chen , Lei Xing , Xin Wang , Jing Qin , Nanning Zheng

We present a predictor-corrector framework, called PicCoLO, that can transform a first-order model-free reinforcement or imitation learning algorithm into a new hybrid method that leverages predictive models to accelerate policy learning.…

Machine Learning · Computer Science 2019-05-28 Ching-An Cheng , Xinyan Yan , Nathan Ratliff , Byron Boots

Session-based Recommendation (SBR) refers to the task of predicting the next item based on short-term user behaviors within an anonymous session. However, session embedding learned by a non-linear encoder is usually not in the same…

Information Retrieval · Computer Science 2022-04-26 Yupeng Hou , Binbin Hu , Zhiqiang Zhang , Wayne Xin Zhao

Canonical correlation analysis (CCA) is a classical representation learning technique for finding correlated variables in multi-view data. Several nonlinear extensions of the original linear CCA have been proposed, including kernel and deep…

Machine Learning · Computer Science 2016-02-09 Tomer Michaeli , Weiran Wang , Karen Livescu

Constructing the adjacency graph is fundamental to graph-based clustering. Graph learning in kernel space has shown impressive performance on a number of benchmark data sets. However, its performance is largely determined by the chosen…

Machine Learning · Computer Science 2019-03-15 Zhao Kang , Liangjian Wen , Wenyu Chen , Zenglin Xu

Accurately measuring protein-RNA binding affinity is crucial in many biological processes and drug design. Previous computational methods for protein-RNA binding affinity prediction rely on either sequence or structure features, unable to…

Biomolecules · Quantitative Biology 2025-01-06 Rong Han , Xiaohong Liu , Tong Pan , Jing Xu , Xiaoyu Wang , Wuyang Lan , Zhenyu Li , Zixuan Wang , Jiangning Song , Guangyu Wang , Ting Chen

This paper presents a practical, and theoretically well-founded, approach to improve the speed of kernel manifold learning algorithms relying on spectral decomposition. Utilizing recent insights in kernel smoothing and learning with…

Machine Learning · Statistics 2015-07-28 Hassan A. Kingravi , Patricio A. Vela , Alexandar Gray

Reinforcement learning has significantly enhanced the reasoning capabilities of Large Language Models (LLMs) in complex problem-solving tasks. Recently, the introduction of DeepSeek R1 has inspired a surge of interest in leveraging…

Machine Learning · Computer Science 2025-08-07 Jinghang Han , Jiawei Chen , Hang Shao , Hao Ma , Mingcheng Li , Xintian Shen , Lihao Zheng , Wei Chen , Tao Wei , Lihua Zhang

Deep neural networks dominate modern machine learning, while alternative function approximators remain comparatively underexplored at scale. In this work, we revisit kernel methods as drop-in components for standard deep learning pipelines.…

Machine Learning · Computer Science 2026-05-05 Jean-Marc Mercier , Gabriele Santin

The lack of sufficient flexibility is the key bottleneck of kernel-based learning that relies on manually designed, pre-given, and non-trainable kernels. To enhance kernel flexibility, this paper introduces the concept of…

Machine Learning · Computer Science 2023-10-10 Fan He , Mingzhen He , Lei Shi , Xiaolin Huang , Johan A. K. Suykens

Kernel methods are widely used in machine learning, especially for classification problems. However, the theoretical analysis of kernel classification is still limited. This paper investigates the statistical performances of kernel…

Statistics Theory · Mathematics 2024-02-05 Jianfa Lai , Zhifan Li , Dongming Huang , Qian Lin
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