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High-dimensional linear and nonlinear models have been extensively used to identify associations between response and explanatory variables. The variable selection problem is commonly of interest in the presence of massive and complex data.…

统计方法学 · 统计学 2017-08-10 Vitara Pungpapong , Min Zhang , Dabao Zhang

Deep learning-based computer-aided diagnosis (CAD) of medical images requires large datasets. However, the lack of large publicly available labeled datasets limits the development of deep learning-based CAD systems. Generative Adversarial…

图像与视频处理 · 电气工程与系统科学 2025-03-04 Muhammad Rafiq , Hazrat Ali , Ghulam Mujtaba , Zubair Shah , Shoaib Azmat

In this paper we study the fundamental problems of maximizing a continuous non-monotone submodular function over the hypercube, both with and without coordinate-wise concavity. This family of optimization problems has several applications…

数据结构与算法 · 计算机科学 2018-05-25 Rad Niazadeh , Tim Roughgarden , Joshua R. Wang

We propose a new Metropolis-Hastings (MH) kernel by introducing the Mirror move into the Metropolis adjusted Langevin algorithm (MALA). This new kernel uses the strength of one kernel to overcome the shortcoming of the other, and generates…

统计计算 · 统计学 2025-06-10 Nuo Guan , Xiyun Jiao

Numerous linear and non-linear data-detection and precoding algorithms for wideband massive multi-user (MU) multiple-input multiple-output (MIMO) wireless systems that rely on orthogonal frequency-division multiplexing (OFDM) or…

信息论 · 计算机科学 2018-11-12 Charles Jeon , Zequn Li , Christoph Studer

The continuous development of the photovoltaic (PV) industry has raised high requirements for the quality of monocrystalline of PV module cells. When learning to segment defect regions in PV module cell images, Tiny Hidden Cracks (THC) lead…

计算机视觉与模式识别 · 计算机科学 2023-10-25 Jianye Yi , Xiaopin Zhong , Weixiang Liu , Zongze Wu , Yuanlong Deng , Zhengguang Wu

This paper introduces a new method for minimizing matrix-smooth non-convex objectives through the use of novel Compressed Gradient Descent (CGD) algorithms enhanced with a matrix-valued stepsize. The proposed algorithms are theoretically…

最优化与控制 · 数学 2024-04-23 Hanmin Li , Avetik Karagulyan , Peter Richtárik

The method of characteristics (MOC) is widely used for neutron transport calculation in recent decades. However, the key problem determining whether MOC can be applied in highly heterogeneous geometry is how to combine an effective geometry…

核理论 · 物理学 2015-06-16 Zhen-Ping Chen , Hua-Qing Zhen , Guang-Yao Sun , Jing Song , Li-Juan Hao , Li-Qin Hu , Yi-Can Wu

Multiple Instance Learning (MIL) is a weakly supervised paradigm that has been successfully applied to many different scientific areas and is particularly well suited to medical imaging. Probabilistic MIL methods, and more specifically…

机器学习 · 计算机科学 2024-03-25 F. M. Castro-Macías , P. Morales-Álvarez , Y. Wu , R. Molina , A. K. Katsaggelos

This study focuses on solving group zero-norm regularized robust loss minimization problems. We propose a proximal Majorization-Minimization (PMM) algorithm to address a class of equivalent Difference-of-Convex (DC) surrogate optimization…

最优化与控制 · 数学 2025-05-30 Ling Liang , Shujun Bi

Minimizing a convex function over the spectrahedron, i.e., the set of all positive semidefinite matrices with unit trace, is an important optimization task with many applications in optimization, machine learning, and signal processing. It…

最优化与控制 · 数学 2016-05-23 Dan Garber

We give lower bounds on the performance of two of the most popular sampling methods in practice, the Metropolis-adjusted Langevin algorithm (MALA) and multi-step Hamiltonian Monte Carlo (HMC) with a leapfrog integrator, when applied to…

数据结构与算法 · 计算机科学 2021-10-28 Yin Tat Lee , Ruoqi Shen , Kevin Tian

Hyperspectral unmixing (HU) is a crucial signal processing procedure to identify the underlying materials (or endmembers) and their corresponding proportions (or abundances) from an observed hyperspectral scene. A well-known blind HU…

计算几何 · 计算机科学 2016-04-20 Chia-Hsiang Lin , Chong-Yung Chi , Yu-Hsiang Wang , Tsung-Han Chan

In fault-tolerant quantum computing, the cost of calculating Hamiltonian eigenvalues using the quantum phase estimation algorithm is proportional to the constant scaling the Hamiltonian matrix block-encoded in a unitary circuit. We present…

量子物理 · 物理学 2024-12-03 Konrad Deka , Emil Zak

Given a set of mixtures, blind source separation attempts to retrieve the source signals without or with very little information of the the mixing process. We present a geometric approach for blind separation of nonnegative linear mixtures…

数值分析 · 数学 2013-01-04 P. Yin , Y. Sun , J. Xin

We propose a simple and easy-to-implement scheme for a renormalon-free gluon condensate (GC) matrix element, which is analogous to implementations of short-distance heavy-quark mass renormalization schemes existing in the literature already…

高能物理 - 唯象学 · 物理学 2022-07-13 Miguel A. Benitez-Rathgeb , Diogo Boito , Andre H. Hoang , Matthias Jamin

Finding the minimum distance of linear codes is an NP-hard problem. Traditionally, this computation has been addressed by means of the design of algorithms that find, by a clever exhaustive search, a linear combination of some generating…

信息论 · 计算机科学 2020-11-02 M. P. Cuéllar , J. Gómez-Torrecillas , F. J. Lobillo , G. Navarro

Results from multiple diagnostic tests are usually combined to improve the overall diagnostic accuracy. For binary classification, maximization of the empirical estimate of the area under the receiver operating characteristic (ROC) curve is…

统计方法学 · 统计学 2026-04-16 Raju Maiti , Jialiang Li , Priyam Das , Lei Feng , Derek Hausenloy , Bibhas Chakraborty

For the purposes of electric circuit simulation, we consider an iterative simulation model based on solving systems of linear equations by Gauss-Jordan elimination (GJE) for individual moments in time. To accelerate the simulation, we…

分布式、并行与集群计算 · 计算机科学 2026-04-01 Filip Noveski , Elena Hadzieva

In this work and its accompanying Part II [1], we develop an accelerated algorithmic framework, DAMA (Decentralized Accelerated Minimax Approach), for nonconvex Polyak-Lojasiewicz minimax optimization over decentralized multi-agent…

最优化与控制 · 数学 2025-12-17 Haoyuan Cai , Sulaiman A. Alghunaim , Ali H. Sayed