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Kolmogorov-Arnold Networks (KANs) have inspired numerous works exploring their applications across a wide range of scientific problems, with the potential to replace Multilayer Perceptrons (MLPs). While many KANs are designed using basis…

Machine Learning · Computer Science 2025-03-11 Hoang-Thang Ta , Anh Tran

Training Deep Convolutional Neural Networks (CNNs) is based on the notion of using multiple kernels and non-linearities in their subsequent activations to extract useful features. The kernels are used as general feature extractors without…

Computer Vision and Pattern Recognition · Computer Science 2020-11-13 Alexandros Stergiou , Ronald Poppe , Remco C. Veltkamp

We propose a general matrix-valued multiple kernel learning framework for high-dimensional nonlinear multivariate regression problems. This framework allows a broad class of mixed norm regularizers, including those that induce sparsity, to…

Machine Learning · Computer Science 2014-08-12 Vikas Sindhwani , Ha Quang Minh , Aurelie Lozano

We propose a general matrix-valued multiple kernel learning framework for high-dimensional nonlinear multivariate regression problems. This framework allows a broad class of mixed norm regularizers, including those that induce sparsity, to…

Machine Learning · Statistics 2013-03-11 Vikas Sindhwani , Minh Ha Quang , Aurelie C. Lozano

Kernel methods represent one of the most powerful tools in machine learning to tackle problems expressed in terms of function values and derivatives due to their capability to represent and model complex relations. While these methods show…

Statistics Theory · Mathematics 2015-11-06 Bharath K. Sriperumbudur , Zoltan Szabo

This paper proposes a multivariate nonlinear function-on-function regression model, which allows both the response and the covariates can be multi-dimensional functions. The model is built upon the multivariate functional reproducing kernel…

Methodology · Statistics 2024-06-28 Xu Haijie , Zhang Chen

Recent advancements in on-device training for deep neural networks have underscored the critical need for efficient activation compression to overcome the memory constraints of mobile and edge devices. As activations dominate memory usage…

Networking and Internet Architecture · Computer Science 2025-07-11 Renyuan Liu , Yuyang Leng , Kaiyan Liu , Shaohan Hu , Chun-Fu , Chen , Peijun Zhao , Heechul Yun , Shuochao Yao

In this paper, we propose a new scheme for modelling the diverse behavior of neurons. We introduce the conditional activation, in which a neurons activation function is dynamically modified by a control signal. We apply this method to…

Neural and Evolutionary Computing · Computer Science 2018-03-15 Albert Lee , Bonnie Lam , Wenyuan Li , Hochul Lee , Wei-Hao Chen , Meng-Fan Chang , Kang. -L. Wang

Multi-scale representations deeply learned via convolutional neural networks have shown tremendous importance for various pixel-level prediction problems. In this paper we present a novel approach that advances the state of the art on…

Computer Vision and Pattern Recognition · Computer Science 2022-03-15 Dan Xu , Xavier Alameda-Pineda , Wanli Ouyang , Elisa Ricci , Xiaogang Wang , Nicu Sebe

Due to the limitations of Moore's Law and the increasing demand of computing, optical neural network (ONNs) are gradually coming to the stage as an alternative to electrical neural networks. The control of nonlinear activation functions in…

Optics · Physics 2025-05-13 Zili Cai , Tian Zhang , Jian Dai , Zheng Wang , Kun Xu

In this article, a novel approach to learning a complex function which can be written as the system of linear equations is introduced. This learning is grounded upon the observation that solving the system of linear equations by a…

Machine Learning · Computer Science 2018-10-23 Kar-Ann Toh

Deep learning models have shown their superior performance in various vision tasks. However, the lack of precisely interpreting kernels in convolutional neural networks (CNNs) is becoming one main obstacle to wide applications of deep…

Computer Vision and Pattern Recognition · Computer Science 2021-08-26 Jia-Xin Zhuang , Wanying Tao , Jianfei Xing , Wei Shi , Ruixuan Wang , Wei-shi Zheng

This paper presents an experimental study of Kolmogorov-Arnold Networks (KANs) applied to computer vision tasks, particularly image classification. KANs introduce learnable activation functions on edges, offering flexible non-linear…

Computer Vision and Pattern Recognition · Computer Science 2024-12-02 Karthik Mohan , Hanxiao Wang , Xiatian Zhu

Activity recognition from first-person (ego-centric) videos has recently gained attention due to the increasing ubiquity of the wearable cameras. There has been a surge of efforts adapting existing feature descriptors and designing new…

Computer Vision and Pattern Recognition · Computer Science 2017-06-06 Fatih Ozkan , Mehmet Ali Arabaci , Elif Surer , Alptekin Temizel

As quantum computers become increasingly practical, so does the prospect of using quantum computation to improve upon traditional algorithms. Kernel methods in machine learning is one area where such improvements could be realized in the…

Quantum Physics · Physics 2023-05-30 Ara Ghukasyan , Jack S. Baker , Oktay Goktas , Juan Carrasquilla , Santosh Kumar Radha

Correlation filter (CF) based trackers are currently ranked top in terms of their performances. Nevertheless, only some of them, such as KCF~\cite{henriques15} and MKCF~\cite{tangm15}, are able to exploit the powerful discriminability of…

Computer Vision and Pattern Recognition · Computer Science 2018-06-19 Ming Tang , Bin Yu , Fan Zhang , Jinqiao Wang

Although multi-view unsupervised feature selection (MUFS) has demonstrated success in dimensionality reduction for unlabeled multi-view data, most existing methods reduce feature redundancy by focusing on linear correlations among features…

Machine Learning · Computer Science 2026-01-30 Yalan Tan , Yanyong Huang , Zongxin Shen , Dongjie Wang , Fengmao Lv , Tianrui Li

The performance of reproducing kernel Hilbert space-based methods is known to be sensitive to the choice of the reproducing kernel. Choosing an adequate reproducing kernel can be challenging and computationally demanding, especially in…

Machine Learning · Computer Science 2023-11-07 Emilio Ruiz-Moreno , Baltasar Beferull-Lozano

By removing irrelevant and redundant features, feature selection aims to find a good representation of the original features. With the prevalence of unlabeled data, unsupervised feature selection has been proven effective in alleviating the…

Machine Learning · Computer Science 2024-03-25 Ziyuan Lin , Deanna Needell

Combining information from different sources is a common way to improve classification accuracy in Brain-Computer Interfacing (BCI). For instance, in small sample settings it is useful to integrate data from other subjects or sessions in…

Machine Learning · Statistics 2013-10-24 Wojciech Samek , Alexander Binder , Klaus-Robert Müller
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