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One of the tasks in color image processing and computer vision is to recover clean data from partial observations corrupted by noise. To this end, robust quaternion matrix completion (QMC) has recently attracted more attention and shown its…

数值分析 · 数学 2024-10-22 Baohua Huang , Jiakai Chen , Wen Li

We study methods for aggregating pairwise comparison data in order to estimate outcome probabilities for future comparisons among a collection of n items. Working within a flexible framework that imposes only a form of strong stochastic…

机器学习 · 计算机科学 2016-03-23 Nihar B. Shah , Sivaraman Balakrishnan , Martin J. Wainwright

Neuroimaging-based prediction of neurocognitive measures is valuable for studying how the brain's structure relates to cognitive function. However, the accuracy of prediction using popular linear regression models is relatively low. We…

Many biomedical studies have identified important imaging biomarkers that are associated with both repeated clinical measures and a survival outcome. The functional joint model (FJM) framework, proposed in Li and Luo (2017), investigates…

统计方法学 · 统计学 2021-09-24 Yue Wang , Joseph Ibrahim , Hongtu Zhu

Constraint ordering plays a critical role in the efficiency of Mixed-Integer Linear Programming (MILP) solvers, particularly for large-scale problems where poorly ordered constraints trigger increased LP iterations and suboptimal search…

机器学习 · 计算机科学 2025-04-08 Shuli Zeng , Mengjie Zhou , Sijia Zhang , Yixiang Hu , Feng Wu , Xiang-Yang Li

Fourier ptychographic microscopy (FPM) is a novel computational coherent imaging technique for high space-bandwidth product imaging. Mathematically, Fourier ptychographic (FP) reconstruction can be implemented as a phase retrieval…

计算机视觉与模式识别 · 计算机科学 2016-07-19 Liheng Bian , Jinli Suo , Jaebum Chung , Xiaoze Ou , Changhuei Yang , Feng Chen , Qionghai Dai

Five simple soft sensor methodologies with two update conditions were compared on two experimentally-obtained datasets and one simulated dataset. The soft sensors investigated were moving window partial least squares regression (and a…

机器学习 · 统计学 2019-08-13 Casey Kneale , Steven D. Brown

We analyse the prediction error of principal component regression (PCR) and prove non-asymptotic upper bounds for the corresponding squared risk. Under mild assumptions, we show that PCR performs as well as the oracle method obtained by…

统计理论 · 数学 2019-04-17 Martin Wahl

This paper considers the problem of optimizing the average tracking error for an elliptic partial differential equation with an uncertain lognormal diffusion coefficient. In particular, the application of the multilevel quasi-Monte Carlo…

数值分析 · 数学 2021-09-30 Philipp A. Guth , Andreas Van Barel

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…

统计方法学 · 统计学 2021-06-29 Nicholas Polson , Vadim Sokolov , Jianeng Xu

In this paper, a binaural beamforming algorithm for hearing aid applications is introduced.The beamforming algorithm is designed to be robust to some error in the estimate of the target speaker direction. The algorithm has two main…

音频与语音处理 · 电气工程与系统科学 2019-11-21 Hala As'ad , Martin Bouchard , Homayoun Kamkar-Parsi

The maximal coding rate reduction (MCR$^2$) objective for learning structured and compact deep representations is drawing increasing attention, especially after its recent usage in the derivation of fully explainable and highly effective…

机器学习 · 计算机科学 2025-11-17 Peng Wang , Huikang Liu , Druv Pai , Yaodong Yu , Zhihui Zhu , Qing Qu , Yi Ma

In this letter, we propose a reliability-based windowed decoding scheme for spatially-coupled (SC) low-density parity-check (LDPC) codes. To mitigate the error propagation along the sliding windowed decoder of the SC LDPC codes, a partial…

信息论 · 计算机科学 2018-05-10 Peng Kang , Yixuan Xie , Lei Yang , Jinhong Yuan

The presence of outliers can significantly degrade the performance of ellipse fitting methods. We develop an ellipse fitting method that is robust to outliers based on the maximum correntropy criterion with variable center (MCC-VC), where a…

计算机视觉与模式识别 · 计算机科学 2023-05-17 Wei Wang , Gang Wang , Chenlong Hu , K. C. Ho

We propose a supervised principal component regression method for relating functional responses with high dimensional predictors. Unlike the conventional principal component analysis, the proposed method builds on a newly defined expected…

统计方法学 · 统计学 2023-08-17 Xinyi Zhang , Qiang Sun , Dehan Kong

In this paper, we introduce a reduced order model-based reinforcement learning (MBRL) approach, utilizing the Iterative Linear Quadratic Regulator (ILQR) algorithm for the optimal control of nonlinear partial differential equations (PDEs).…

系统与控制 · 电气工程与系统科学 2025-01-14 Aayushman Sharma , Suman Chakravorty

Tensor-valued data arise naturally in multidimensional signal and imaging problems, such as biomedical imaging. When incorporated into generalized linear models (GLMs), naive vectorization can destroy their multi-way structure and lead to…

机器学习 · 统计学 2026-04-07 Xiao Liang , Shuang Li

Kernel ridge regression (KRR), also known as the least-squares support vector machine, is a fundamental method for learning functions from finite samples. While most existing analyses focus on the noisy setting with constant-level label…

机器学习 · 统计学 2025-04-14 Jihao Long , Xiaojun Peng , Lei Wu

Partial coherence is an important quantity derived from spectral or precision matrices and is used in seismology, meteorology, oceanography, neuroscience and elsewhere. If the number of complex degrees of freedom only slightly exceeds the…

统计理论 · 数学 2016-11-03 D. Schneider-Luftman , A. T. Walden

This work investigates the structural properties, cycloid trajectories, and non-asymptotic convergence guarantees of the Expectation-Maximization (EM) algorithm for two-component Mixed Linear Regression (2MLR) with unknown mixing weights…

机器学习 · 计算机科学 2025-11-10 Zhankun Luo , Abolfazl Hashemi