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In the functional linear regression model, many methods have been proposed and studied to estimate the slope function while the functional predictor was observed in the entire domain. However, works on functional linear regression models…

Methodology · Statistics 2021-12-21 Yafei Wang , Tingyu Lai , Bei Jiang , Linglong Kong , Zhongzhan Zhang

The analysis of complex computer simulations, often involving functional data, presents unique statistical challenges. Conventional regression methods, such as function-on-function regression, typically associate functional outcomes with…

Methodology · Statistics 2026-02-11 R. Jacob Andros , Rajarshi Guhaniyogi , Devin Francom , Donatella Pasqualini

The classical approach to non-linear regression in physics, is to take a mathematical model describing the functional dependence of the dependent variable from a set of independent variables, and then, using non-linear fitting algorithms,…

Machine Learning · Computer Science 2020-07-29 Umberto , Michelucci , Francesca Venturini

Standard regression techniques, while powerful, are often constrained by predefined, differentiable loss functions such as mean squared error. These functions may not fully capture the desired behavior of a system, especially when dealing…

Machine Learning · Computer Science 2025-08-04 Yongchao Huang

The objective of this work is to improve the accuracy of building demand forecasting. This is a more challenging task than grid level forecasting. For the said purpose, we develop a new technique called recurrent transform learning (RTL).…

Machine Learning · Computer Science 2019-12-12 Megha Gupta , Angshul Majumdar

Representation learning is a key technique in modern machine learning that enables models to identify meaningful patterns in complex data. However, different methods tend to extract distinct aspects of the data, and relying on a single…

Machine Learning · Statistics 2025-09-30 Wenhui Li , Shijin Gong , Xinyu Zhang

Least squares kernel based methods have been widely used in regression problems due to the simple implementation and good generalization performance. Among them, least squares support vector regression (LS-SVR) and extreme learning machine…

Machine Learning · Computer Science 2020-06-03 Hongwei Dong , Liming Yang

We introduce a new class of non-linear function-on-function regression models for functional data using neural networks. We propose a framework using a hidden layer consisting of continuous neurons, called a continuous hidden layer, for…

Methodology · Statistics 2023-10-10 Aniruddha Rajendra Rao , Matthew Reimherr

We propose an efficient online dictionary learning algorithm for kernel-based sparse representations. In this framework, input signals are nonlinearly mapped to a high-dimensional feature space and represented sparsely using a virtual…

Machine Learning · Computer Science 2025-07-03 Ghasem Alipoor , Karl Skretting

Reinforcement learning (RL) has been widely applied to sequential decision making, where interpretability and performance are both critical for practical adoption. Current approaches typically focus on performance and rely on post hoc…

Machine Learning · Computer Science 2025-10-07 Qianxin Yi , Shao-Bo Lin , Jun Fan , Yao Wang

We present flow Q-learning (FQL), a simple and performant offline reinforcement learning (RL) method that leverages an expressive flow-matching policy to model arbitrarily complex action distributions in data. Training a flow policy with RL…

Machine Learning · Computer Science 2025-05-27 Seohong Park , Qiyang Li , Sergey Levine

We suggest a new method, called Functional Additive Regression, or FAR, for efficiently performing high-dimensional functional regression. FAR extends the usual linear regression model involving a functional predictor, $X(t)$, and a scalar…

Statistics Theory · Mathematics 2015-10-15 Yingying Fan , Gareth M. James , Peter Radchenko

Lithography is fundamental to integrated circuit fabrication, necessitating large computation overhead. The advancement of machine learning (ML)-based lithography models alleviates the trade-offs between manufacturing process expense and…

Computer Vision and Pattern Recognition · Computer Science 2023-04-11 Guojin Chen , Zehua Pei , Haoyu Yang , Yuzhe Ma , Bei Yu , Martin D. F. Wong

Reward functions are difficult to design and often hard to align with human intent. Preference-based Reinforcement Learning (RL) algorithms address these problems by learning reward functions from human feedback. However, the majority of…

Machine Learning · Computer Science 2023-11-28 Joey Hejna , Dorsa Sadigh

With increasing demands for high-quality semantic segmentation in the industry, hard-distinguishing semantic boundaries have posed a significant threat to existing solutions. Inspired by real-life experience, i.e., combining varied…

Computer Vision and Pattern Recognition · Computer Science 2022-10-04 Xu Yin , Dongbo Min , Yuchi Huo , Sung-Eui Yoon

High dimensional data reduction techniques are provided by using partial least squares within deep learning. Our framework provides a nonlinear extension of PLS together with a disciplined approach to feature selection and architecture…

Methodology · Statistics 2021-06-29 Nicholas Polson , Vadim Sokolov , Jianeng Xu

For readability assessment, traditional methods mainly employ machine learning classifiers with hundreds of linguistic features. Although the deep learning model has become the prominent approach for almost all NLP tasks, it is less…

Computation and Language · Computer Science 2023-03-07 Wenbiao Li , Ziyang Wang , Yunfang Wu

We design a predictive layer for structured-output prediction (SOP) that can be plugged into any neural network guaranteeing its predictions are consistent with a set of predefined symbolic constraints. Our Semantic Probabilistic Layer…

Machine Learning · Computer Science 2022-06-02 Kareem Ahmed , Stefano Teso , Kai-Wei Chang , Guy Van den Broeck , Antonio Vergari

Many real world data are sampled functions. As shown by Functional Data Analysis (FDA) methods, spectra, time series, images, gesture recognition data, etc. can be processed more efficiently if their functional nature is taken into account…

Neural and Evolutionary Computing · Computer Science 2007-05-23 Fabrice Rossi , Brieuc Conan-Guez

Value function learning plays a central role in many state-of-the-art reinforcement-learning algorithms. Many popular algorithms like Q-learning do not optimize any objective function, but are fixed-point iterations of some variant of…

Machine Learning · Computer Science 2020-01-10 Yihao Feng , Lihong Li , Qiang Liu