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Random Fourier Features (RFF) is among the most popular and broadly applicable approaches for scaling up kernel methods. In essence, RFF allows the user to avoid costly computations on a large kernel matrix via a fast randomized…

Machine Learning · Statistics 2023-02-23 Junwen Yao , N. Benjamin Erichson , Miles E. Lopes

In Neural Networks (NN), Adaptive Activation Functions (AAF) have parameters that control the shapes of activation functions. These parameters are trained along with other parameters in the NN. AAFs have improved performance of Neural…

Computer Vision and Pattern Recognition · Computer Science 2016-08-24 Le Hou , Dimitris Samaras , Tahsin M. Kurc , Yi Gao , Joel H. Saltz

Random Fourier features (RFFs) provide a promising way for kernel learning in a spectral case. Current RFFs-based kernel learning methods usually work in a two-stage way. In the first-stage process, learning the optimal feature map is often…

Machine Learning · Computer Science 2024-01-17 Kun Fang , Fanghui Liu , Xiaolin Huang , Jie Yang

Random forest (RF) methodology is one of the most popular machine learning techniques for prediction problems. In this article, we discuss some cases where random forests may suffer and propose a novel generalized RF method, namely…

Machine Learning · Statistics 2019-04-24 Haozhe Zhang , Dan Nettleton , Zhengyuan Zhu

Reinforcement Learning (RL) in environments with complex, history-dependent reward structures poses significant challenges for traditional methods. In this work, we introduce a novel approach that leverages automaton-based feedback to guide…

Machine Learning · Computer Science 2025-10-20 Mahyar Alinejad , Alvaro Velasquez , Yue Wang , George Atia

Differentiable simulators enable gradient-based optimization of soft robots over material parameters, control, and morphology, but accurately modeling real systems remains challenging due to the sim-to-real gap. This issue becomes more…

Robotics · Computer Science 2026-03-24 Dong Heon Cho , Boyuan Chen

Classical results in neural network approximation theory show how arbitrary continuous functions can be approximated by networks with a single hidden layer, under mild assumptions on the activation function. However, the classical theory…

Optimization and Control · Mathematics 2023-04-06 Tyler Lekang , Andrew Lamperski

Linearization of attention using various kernel approximation and kernel learning techniques has shown promise. Past methods used a subset of combinations of component functions and weight matrices within the random feature paradigm. We…

Machine Learning · Computer Science 2025-09-24 Duke Nguyen , Du Yin , Aditya Joshi , Flora Salim

The choice of the shape parameter highly effects the behaviour of radial basis function (RBF) approximations, as it needs to be selected to balance between ill-condition of the interpolation matrix and high accuracy. In this paper, we…

Numerical Analysis · Mathematics 2024-06-26 Fatemeh Nassajian Mojarrad , Maria Han Veiga , Jan S. Hesthaven , Philipp Öffner

Gradient information is widely useful and available in applications, and is therefore natural to include in the training of neural networks. Yet little is known theoretically about the impact of Sobolev training -- regression with both…

Machine Learning · Statistics 2025-11-06 Katharine E Fisher , Matthew TC Li , Youssef Marzouk , Timo Schorlepp

Factorization machines (FM) are a popular model class to learn pairwise interactions by a low-rank approximation. Different from existing FM-based approaches which use a fixed rank for all features, this paper proposes a Rank-Aware FM…

Machine Learning · Computer Science 2019-05-21 Xiaoshuang Chen , Yin Zheng , Jiaxing Wang , Wenye Ma , Junzhou Huang

Identifying control-friendly models of nonlinear systems remains one of the major challenges at the intersection of system identification and control. The Linear Parameter-Varying (LPV) framework offers a promising solution, but existing…

Systems and Control · Electrical Eng. & Systems 2026-05-13 Roel Drenth , Jan H. Hoekstra , Maarten Schoukens , Roland Tóth

Trainable activation functions, whose parameters are optimized alongside network weights, offer increased expressivity compared to fixed activation functions. Specifically, trainable activation functions defined as ratios of polynomials…

Machine Learning · Computer Science 2025-07-22 Rafał Surdej , Michał Bortkiewicz , Alex Lewandowski , Mateusz Ostaszewski , Clare Lyle

Recently, a spate of papers have provided positive theoretical results for training over-parameterized neural networks (where the network size is larger than what is needed to achieve low error). The key insight is that with sufficient…

Machine Learning · Computer Science 2022-03-01 Gilad Yehudai , Ohad Shamir

Functional Data Analysis (FDA) is an extension of traditional data analysis to functional data, for example spectra, temporal series, spatio-temporal images, gesture recognition data, etc. Functional data are rarely known in practice;…

Neural and Evolutionary Computing · Computer Science 2007-09-25 Fabrice Rossi , Nicolas Delannay , Brieuc Conan-Guez , Michel Verleysen

Reinforcement Learning from Human Feedback (RLHF) is a powerful paradigm for aligning foundation models to human values and preferences. However, current RLHF techniques cannot account for the naturally occurring differences in individual…

Machine Learning · Computer Science 2024-08-20 Sriyash Poddar , Yanming Wan , Hamish Ivison , Abhishek Gupta , Natasha Jaques

Activation functions in neural networks are typically selected from a set of empirically validated, commonly used static functions such as ReLU, tanh, or sigmoid. However, by optimizing the shapes of a network's activation functions, we can…

Machine Learning · Computer Science 2025-09-24 William H Patty

Generating complex behaviors that satisfy the preferences of non-expert users is a crucial requirement for AI agents. Interactive reward learning from trajectory comparisons (a.k.a. RLHF) is one way to allow non-expert users to convey…

Artificial Intelligence · Computer Science 2023-03-01 Lin Guan , Karthik Valmeekam , Subbarao Kambhampati

Reinforcement learning (RL) is well known for requiring large amounts of data in order for RL agents to learn to perform complex tasks. Recent progress in model-based RL allows agents to be much more data-efficient, as it enables them to…

Machine Learning · Computer Science 2021-08-17 Remo Sasso , Matthia Sabatelli , Marco A. Wiering

Conditional Random Field (CRF) and recurrent neural models have achieved success in structured prediction. More recently, there is a marriage of CRF and recurrent neural models, so that we can gain from both non-linear dense features and…

Computation and Language · Computer Science 2016-11-15 Shuming Ma , Xu Sun