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In large-scale computation of physics problems, one often encounters the problem of determining a multi-dimensional function, which can be time-consuming when computing each point in this multi-dimensional space is already time-demanding.…

Quantum Gases · Physics 2020-03-11 Juan Yao , Yadong Wu , Jahyun Koo , Binghai Yan , Hui Zhai

We propose Adaptive Deep Kernel Fitting with Implicit Function Theorem (ADKF-IFT), a novel framework for learning deep kernel Gaussian processes (GPs) by interpolating between meta-learning and conventional deep kernel learning. Our…

Machine Learning · Computer Science 2023-02-20 Wenlin Chen , Austin Tripp , José Miguel Hernández-Lobato

In real-world recommendation scenarios, users engage with items through various types of behaviors. Leveraging diversified user behavior information for learning can enhance the recommendation of target behaviors (e.g., buy), as…

Information Retrieval · Computer Science 2025-02-05 Chenhao Zhai , Chang Meng , Yu Yang , Kexin Zhang , Xuhao Zhao , Xiu Li

This paper studies the generalization properties of a recently proposed kernel method, the Random Feature models with Learnable Activation Functions (RFLAF). By applying a data-dependent sampling scheme for generating features, we provide…

Machine Learning · Computer Science 2025-10-20 Zailin Ma , Jiansheng Yang , Yaodong Yang

Pre-trained generalist policies are rapidly gaining relevance in robot learning due to their promise of fast adaptation to novel, in-domain tasks. This adaptation often relies on collecting new demonstrations for a specific task of interest…

Machine Learning · Computer Science 2025-06-24 Marco Bagatella , Jonas Hübotter , Georg Martius , Andreas Krause

In machine learning, a critical class of decision-related problems concerns preventing predicted undesirable outcomes, referred to as the \textit{avoiding undesired future} (AUF) problem. To address this, the \textit{rehearsal learning}…

Machine Learning · Computer Science 2026-05-12 Wen-Bo Du , Tian-Zuo Wang , Han-Jia Ye , Zhi-Hua Zhou

A wide variety of activation functions have been proposed for neural networks. The Rectified Linear Unit (ReLU) is especially popular today. There are many practical reasons that motivate the use of the ReLU. This paper provides new…

Machine Learning · Statistics 2020-10-19 Rahul Parhi , Robert D. Nowak

Neural Networks have been applied for time series prediction with good experimental results that indicate the high capacity to approximate functions with good precision. Most neural models used in these applications use activation functions…

Machine Learning · Computer Science 2021-08-02 Gecynalda Gomes , Teresa Ludermir

Kernel methods form a powerful, versatile, and theoretically-grounded unifying framework to solve nonlinear problems in signal processing and machine learning. The standard approach relies on the kernel trick to perform pairwise evaluations…

Machine Learning · Computer Science 2019-12-11 Kan Li , Jose C. Principe

With the advent of kernel methods, automating the task of specifying a suitable kernel has become increasingly important. In this context, the Multiple Kernel Learning (MKL) problem of finding a combination of pre-specified base kernels…

Machine Learning · Computer Science 2012-07-03 Abhishek Kumar , Alexandru Niculescu-Mizil , Koray Kavukcuoglu , Hal Daume

Personalized Federated Learning (PFL) enables a collection of agents to collaboratively learn individual models without sharing raw data. We propose a new PFL approach in which each agent optimizes a weighted combination of all agents'…

Machine Learning · Computer Science 2026-03-04 Jean-Baptiste Fermanian , Batiste Le Bars , Aurélien Bellet

A multivariate quantile regression model with a factor structure is proposed to study data with many responses of interest. The factor structure is allowed to vary with the quantile levels, which makes our framework more flexible than the…

Methodology · Statistics 2020-01-22 Shih-Kang Chao , Wolfgang Karl Härdle , Ming Yuan

Activation functions play a critical role in the performance and behaviour of neural networks, significantly impacting their ability to learn and generalise. Traditional activation functions, such as ReLU, sigmoid, and tanh, have been…

Neural and Evolutionary Computing · Computer Science 2025-03-27 Benjamin David Winter , William John Teahan

We study optimization problems where the objective function is modeled through feedforward neural networks with rectified linear unit (ReLU) activation. Recent literature has explored the use of a single neural network to model either…

Machine Learning · Computer Science 2022-05-11 Keliang Wang , Leonardo Lozano , Carlos Cardonha , David Bergman

In this paper, we propose to train a network with binary weights and low-bitwidth activations, designed especially for mobile devices with limited power consumption. Most previous works on quantizing CNNs uncritically assume the same…

Computer Vision and Pattern Recognition · Computer Science 2018-08-09 Bohan Zhuang , Chunhua Shen , Ian Reid

Nonlinear function estimation is core to modern machine learning applications. In this paper, to perform nonlinear function estimation, we reduce a nonlinear inverse problem to a linear one using a polynomial kernel expansion. These kernels…

Information Theory · Computer Science 2019-10-02 Hangjin Liu , You , Zhou , Ahmad Beirami , Dror Baron

Kernel function plays a crucial role in machine learning algorithms such as classifiers. In this paper, we aim to improve the classification performance and reduce the reading out burden of quantum classifiers. We devise a universally…

Quantum Physics · Physics 2025-05-08 Li Xu , Xiao-yu Zhang , Ming Li , Shu-qian Shen

Kernel ridge regression (KRR) is a widely used nonparametric method due to its strong theoretical guarantees and computational convenience. However, standard KRR does not distinguish between linear and nonlinear components in the signal,…

Statistics Theory · Mathematics 2026-05-13 Xin Bing , Chao Wang

We don't program neural networks directly. Instead, we rely on an indirect style where learning algorithms, like gradient descent, determine a neural network's function by learning from data. This indirect style is often a virtue; it…

Machine Learning · Computer Science 2025-11-19 Joey Velez-Ginorio , Nada Amin , Konrad Kording , Steve Zdancewic

With the fast development of quantum computing and deep learning, quantum neural networks have attracted great attention recently. By leveraging the power of quantum computing, deep neural networks can potentially overcome computational…

Machine Learning · Computer Science 2022-06-30 Qi Xia , Qun Li
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