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Quantile regression is a powerful tool capable of offering a richer view of the data as compared to least-squares regression. Quantile regression is typically performed individually on a few quantiles or a grid of quantiles without…

统计方法学 · 统计学 2026-03-26 Ta-Hsin Li , Nimrod Megiddo

Linear quadratic regulator (LQR) is one of the most popular frameworks to tackle continuous Markov decision process tasks. With its fundamental theory and tractable optimal policy, LQR has been revisited and analyzed in recent years, in…

人工智能 · 计算机科学 2020-07-14 Youngsuk Park , Ryan A. Rossi , Zheng Wen , Gang Wu , Handong Zhao

This paper studies data-driven approaches to the continuous-time linear quadratic regulator (LQR) problem based on two existing parameterizations, namely a closed-loop (CL) parameterization from behavioral system theory and an integral…

最优化与控制 · 数学 2026-05-01 Armin Gießler , Felix Thömmes , Sören Hohmann

Least-squares models such as linear regression and Linear Discriminant Analysis (LDA) are amongst the most popular statistical learning techniques. However, since their computation time increases cubically with the number of features, they…

机器学习 · 计算机科学 2018-03-28 Matthias S. Treder

Quantization-aware training (QAT) and Knowledge Distillation (KD) are combined to achieve competitive performance in creating low-bit deep learning models. Existing KD and QAT works focus on improving the accuracy of quantized models from…

机器学习 · 计算机科学 2025-09-05 Justin Kur , Kaiqi Zhao

Successive quadratic approximations (SQA) are numerically efficient for minimizing the sum of a smooth function and a convex function. The iteration complexity of inexact SQA methods has been analyzed recently. In this paper, we present an…

最优化与控制 · 数学 2020-06-01 Wei Peng , Hui Zhang , Xiaoya Zhang

Feature selection and feature transformation, the two main ways to reduce dimensionality, are often presented separately. In this paper, a feature selection method is proposed by combining the popular transformation based dimensionality…

机器学习 · 计算机科学 2015-04-22 Hong Tao , Chenping Hou , Feiping Nie , Yuanyuan Jiao , Dongyun Yi

Dimensionality reduction is a crucial step for pattern recognition and data mining tasks to overcome the curse of dimensionality. Principal component analysis (PCA) is a traditional technique for unsupervised dimensionality reduction, which…

机器学习 · 计算机科学 2017-05-04 Zan Gao , Guotai Zhang , Feiping Nie , Hua Zhang

For high-dimensional classification, it is well known that naively performing the Fisher discriminant rule leads to poor results due to diverging spectra and noise accumulation. Therefore, researchers proposed independence rules to…

机器学习 · 统计学 2011-11-10 Jianqing Fan , Yang Feng , Xin Tong

A sequential quadratic programming method is designed for solving general smooth nonlinear stochastic optimization problems subject to expectation equality constraints. We consider the setting where the objective and constraint function…

最优化与控制 · 数学 2026-03-17 Haoming Shen , Yang Zeng , Baoyu Zhou

A sequential quadratic optimization algorithm for minimizing an objective function defined by an expectation subject to nonlinear inequality and equality constraints is proposed, analyzed, and tested. The context of interest is when it is…

最优化与控制 · 数学 2023-03-01 Frank E. Curtis , Daniel P. Robinson , Baoyu Zhou

The generalization capability of deepfake detectors is critical for real-world use. Data augmentation via synthetic fake face generation effectively enhances generalization, yet current SoTA methods rely on fixed strategies-raising a key…

计算机视觉与模式识别 · 计算机科学 2025-11-11 Yuxuan Zhou , Tao Yu , Wen Huang , Yuheng Zhang , Tao Dai , Shu-Tao Xia

This paper studies a discrete-time stochastic control problem with linear quadratic criteria over an infinite-time horizon. We focus on a class of control systems whose system matrices are associated with random parameters involving unknown…

最优化与控制 · 数学 2022-01-17 Zhaorong Zhang , Juanjuan Xu , Xun Li

The Minimum Covariance Determinant (MCD) approach robustly estimates the location and scatter matrix using the subset of given size with lowest sample covariance determinant. Its main drawback is that it cannot be applied when the dimension…

统计方法学 · 统计学 2021-01-13 Kris Boudt , Peter J. Rousseeuw , Steven Vanduffel , Tim Verdonck

Recent domain adaptation methods have demonstrated impressive improvement on unsupervised domain adaptation problems. However, in the semi-supervised domain adaptation (SSDA) setting where the target domain has a few labeled instances…

计算机视觉与模式识别 · 计算机科学 2020-12-08 Bingyu Liu , Yuhong Guo , Jieping Ye , Weihong Deng

A linear-quadratic (LQ, for short) optimal control problem is considered for mean-field stochastic differential equations with constant coefficients in an infinite horizon. The stabilizability of the control system is studied followed by…

最优化与控制 · 数学 2012-08-28 Jianhui Huang , Xun Li , Jiongmin Yong

Question answering (QA) has recently shown impressive results for answering questions from customized domains. Yet, a common challenge is to adapt QA models to an unseen target domain. In this paper, we propose a novel self-supervised…

计算与语言 · 计算机科学 2022-10-21 Zhenrui Yue , Huimin Zeng , Bernhard Kratzwald , Stefan Feuerriegel , Dong Wang

This paper studies a regularized matrix tri-factorization \(A\approx PDQ\), where \(P\) and \(Q\) are side factors and \(D\) is a central core whose conditioning can be explicitly regularized or constrained. The formulation is a structured…

数值分析 · 数学 2026-05-13 Ronald Katende

Semi-supervised regression (SSR), which aims to predict continuous scores for samples while reducing the reliance on large-scale labeled data, has recently attracted considerable attention across various applications, including computer…

机器学习 · 计算机科学 2026-05-28 Ye Su , Hezhe Qiao , Wei Huang , Lin Chen

Distributional linear quadratic regulator (LQR) is a new framework that integrates the distributional reinforcement learning and classical LQR, which offers a new way to study the random return instead of the expected cost. Unlike iterative…

最优化与控制 · 数学 2025-10-28 Ruyi Teng , Dan Wang , Wei Chen , Yulong Gao