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In this paper, we propose a data-adaptive non-parametric kernel learning framework in margin based kernel methods. In model formulation, given an initial kernel matrix, a data-adaptive matrix with two constraints is imposed in an entry-wise…

Machine Learning · Computer Science 2020-10-16 Fanghui Liu , Xiaolin Huang , Chen Gong , Jie Yang , Li Li

Deep learning algorithms have significantly reduced the computational time and improved the spatial resolution of particle image velocimetry~(PIV). However, the models trained on synthetic datasets might have a degraded performance on…

Computer Vision and Pattern Recognition · Computer Science 2025-04-22 Qianyu Zhu , Junjie Wang , Jeremiah Hu , Jia Ai , Yong Lee

We study the problem of choosing algorithm hyper-parameters in unsupervised domain adaptation, i.e., with labeled data in a source domain and unlabeled data in a target domain, drawn from a different input distribution. We follow the…

We study the properties of nonparametric least squares regression using deep neural networks. We derive non-asymptotic upper bounds for the prediction error of the empirical risk minimizer of feedforward deep neural regression. Our error…

Statistics Theory · Mathematics 2023-01-18 Yuling Jiao , Guohao Shen , Yuanyuan Lin , Jian Huang

In this work, we focus on variational Bayesian inference on the sparse Deep Neural Network (DNN) modeled under a class of spike-and-slab priors. Given a pre-specified sparse DNN structure, the corresponding variational posterior contraction…

Statistics Theory · Mathematics 2020-08-04 Jincheng Bai , Qifan Song , Guang Cheng

Recent years have witnessed an upsurge of interest in employing flexible machine learning models for instrumental variable (IV) regression, but the development of uncertainty quantification methodology is still lacking. In this work we…

Machine Learning · Statistics 2021-11-04 Ziyu Wang , Yuhao Zhou , Tongzheng Ren , Jun Zhu

We focus on nonlinear Function-on-Scalar regression, where the predictors are scalar variables, and the responses are functional data. Most existing studies approximate the hidden nonlinear relationships using linear combinations of basis…

Methodology · Statistics 2025-04-01 Kazunori Takeshita , Yoshikazu Terada

Federated learning is a paradigm of distributed machine learning in which multiple clients coordinate with a central server to learn a model, without sharing their own training data. Standard federated optimization methods such as Federated…

Machine Learning · Computer Science 2024-05-15 Sohom Mukherjee , Nicolas Loizou , Sebastian U. Stich

Clustering in high-dimensional settings with severe feature noise remains challenging, especially when only a small subset of dimensions is informative and the final number of clusters is not specified in advance. In such regimes, partition…

Machine Learning · Statistics 2026-04-09 Wan Ping Chen

A $d$-dimensional nonparametric additive regression model with dependent observations is considered. Using the marginal integration technique and wavelets methodology, we develop a new adaptive estimator for a component of the additive…

Statistics Theory · Mathematics 2012-08-07 Christophe Chesneau , Jalal M. Fadili , Bertrand Maillot

In this work, we design a machine learning based method, online adaptive primal support vector regression (SVR), to model the implied volatility surface (IVS). The algorithm proposed is the first derivation and implementation of an online…

Machine Learning · Statistics 2018-06-08 Yaxiong Zeng , Diego Klabjan

We propose SDORE, a Semi-supervised Deep Sobolev Regressor, for the nonparametric estimation of the underlying regression function and its gradient. SDORE employs deep ReQU neural networks to minimize the empirical risk with gradient norm…

Machine Learning · Statistics 2025-01-31 Zhao Ding , Chenguang Duan , Yuling Jiao , Jerry Zhijian Yang

To leverage deep learning for image aesthetics assessment, one critical but unsolved issue is how to seamlessly incorporate the information of image aspect ratios to learn more robust models. In this paper, an adaptive fractional dilated…

Computer Vision and Pattern Recognition · Computer Science 2020-04-08 Qiuyu Chen , Wei Zhang , Ning Zhou , Peng Lei , Yi Xu , Yu Zheng , Jianping Fan

Embedding is a useful technique to project a high-dimensional feature into a low-dimensional space, and it has many successful applications including link prediction, node classification and natural language processing. Current approaches…

Information Retrieval · Computer Science 2020-09-21 Meimei Liu , Hongxia Yang

We propose novel randomized optimization methods for high-dimensional convex problems based on restrictions of variables to random subspaces. We consider oblivious and data-adaptive subspaces and study their approximation properties via…

Information Theory · Computer Science 2020-12-15 Jonathan Lacotte , Mert Pilanci

Federated learning is a distributed learning framework where clients collaboratively train a global model without sharing their raw data. FedAvg is a popular algorithm for federated learning, but it often suffers from slow convergence due…

Machine Learning · Computer Science 2025-05-19 Shokichi Takakura , Seng Pei Liew , Satoshi Hasegawa

We study adversarial online nonparametric regression with general convex losses and propose a parameter-free learning algorithm that achieves minimax optimal rates. Our approach leverages chaining trees to compete against H{\"o}lder…

Statistics Theory · Mathematics 2025-04-14 Paul Liautaud , Pierre Gaillard , Olivier Wintenberger

This paper explores the use of deep neural networks for semiparametric estimation of economic models of maximizing behavior in production or discrete choice. We argue that certain deep networks are particularly well suited as a…

Econometrics · Economics 2022-04-06 Konrad Menzel

We present a novel end-to-end deep learning-based adaptation control algorithm for frequency-domain adaptive system identification. The proposed method exploits a deep neural network to map observed signal features to corresponding…

Audio and Speech Processing · Electrical Eng. & Systems 2022-03-07 Thomas Haubner , Andreas Brendel , Walter Kellermann

We propose self-adaptive training -- a unified training algorithm that dynamically calibrates and enhances training processes by model predictions without incurring an extra computational cost -- to advance both supervised and…

Machine Learning · Computer Science 2022-10-17 Lang Huang , Chao Zhang , Hongyang Zhang