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The implementation difficulties of combining distribution matching (DM) and dematching (invDM) for probabilistic shaping (PS) with soft-decision forward error correction (FEC) coding can be relaxed by reverse concatenation, for which the…

Signal Processing · Electrical Eng. & Systems 2024-01-25 Tsuyoshi Yoshida , Magnus Karlsson , Erik Agrell

In this paper, we develop a low-rank method with high-order temporal accuracy using spectral deferred correction (SDC) to compute linear matrix differential equations. In [1], a low rank numerical method is proposed to correct the modeling…

Numerical Analysis · Mathematics 2024-12-13 Shun Li , Yan Jiang , Yingda Cheng

Symmetric Nonnegative Matrix Factorization (SNMF) models arise naturally as simple reformulations of many standard clustering algorithms including the popular spectral clustering method. Recent work has demonstrated that an elementary…

Computer Vision and Pattern Recognition · Computer Science 2016-09-20 Reza Borhani , Jeremy Watt , Aggelos Katsaggelos

We propose a high-order FDTD scheme based on the correction function method (CFM) to treat interfaces with complex geometry without increasing the complexity of the numerical approach for constant coefficients. Correction functions are…

Numerical Analysis · Mathematics 2020-02-18 Yann-Meing Law , Alexandre Noll Marques , Jean-Christophe Nave

Parameterized quantum circuits (PQCs) are ubiquitous in the design of hybrid quantum-classical algorithms. In this work, we propose an interpolation-based coordinate descent (ICD) method to address the parameter optimization problem in…

Quantum Physics · Physics 2026-01-14 Zhijian Lai , Jiang Hu , Taehee Ko , Jiayuan Wu , Dong An

Performance variability management is an active research area in high-performance computing (HPC). We focus on input/output (I/O) variability. To study the performance variability, computer scientists often use grid-based designs (GBDs) to…

Applications · Statistics 2022-01-25 Yueyao Wang , Li Xu , Yili Hong , Rong Pan , Tyler Chang , Thomas Lux , Jon Bernard , Layne Watson , Kirk Cameron

We consider a finite element method for elliptic equation with heterogeneous and possibly high-contrast coefficients based on primal hybrid formulation. A space decomposition as in FETI and BDCC allows a sequential computations of the…

Numerical Analysis · Mathematics 2024-04-29 Alexandre L. Madureira , Marcus Sarkis

In this paper, we compute the stationary states of the multicomponent phase-field crystal model by formulating it as a block constrained minimization problem. The original infinite-dimensional non-convex minimization problem is approximated…

Numerical Analysis · Mathematics 2021-07-16 Chenglong Bao , Chang Chen , Kai Jiang

Multi-modal image segmentation faces real-world deployment challenges from incomplete/corrupted modalities degrading performance. While existing methods address training-inference modality gaps via specialized per-combination models, they…

Computer Vision and Pattern Recognition · Computer Science 2025-09-22 Xiaoqi Zhao , Youwei Pang , Chenyang Yu , Lihe Zhang , Huchuan Lu , Shijian Lu , Georges El Fakhri , Xiaofeng Liu

We consider the problem of minimizing a difference of (smooth) convex functions over a compact convex feasible region $P$, i.e., $\min_{x \in P} f(x) - g(x)$, with smooth $f$ and Lipschitz continuous $g$. This computational study builds…

Optimization and Control · Mathematics 2025-08-05 Sebastian Pokutta

The state-of-the-art methods for solving optimization problems in big dimensions are variants of randomized coordinate descent (RCD). In this paper we introduce a fundamentally new type of acceleration strategy for RCD based on the…

Optimization and Control · Mathematics 2018-02-13 Dmitry Kovalev , Eduard Gorbunov , Elnur Gasanov , Peter Richtárik

Block coordinate descent (BCD) methods are widely used for large-scale numerical optimization because of their cheap iteration costs, low memory requirements, amenability to parallelization, and ability to exploit problem structure. Three…

Optimization and Control · Mathematics 2022-08-02 Julie Nutini , Issam Laradji , Mark Schmidt

Hyperspectral images super-resolution aims to improve the spatial resolution, yet its performance is often limited at high-resolution ratios. The recent adoption of high-resolution reference images for super-resolution is driven by the poor…

Computer Vision and Pattern Recognition · Computer Science 2026-01-06 Yingkai Zhang , Zeqiang Lai , Tao Zhang , Ying Fu , Chenghu Zhou

In this paper, we design a hierarchical clustering algorithm for high-resolution hyperspectral images. At the core of the algorithm, a new rank-two nonnegative matrix factorizations (NMF) algorithm is used to split the clusters, which is…

Computer Vision and Pattern Recognition · Computer Science 2015-02-18 Nicolas Gillis , Da Kuang , Haesun Park

The high cost associated with the evaluation of Hartree-Fock exchange (HFX) makes hybrid functionals computationally challenging for large systems. In this work, we present an efficient way to accelerate HFX calculations with numerical…

Computational Physics · Physics 2020-09-09 Xinming Qin , Jie Liu , Wei Hu , Jinlong Yang

Fusion-based hyperspectral image super-resolution aims to fuse low-resolution hyperspectral images (LR-HSIs) and high-resolution multispectral images (HR-MSIs) to reconstruct high spatial and high spectral resolution images. Current methods…

Image and Video Processing · Electrical Eng. & Systems 2026-03-25 Songcheng Du , Yang Zou , Zixu Wang , Xingyuan Li , Ying Li , Changjing Shang , Qiang Shen

Compact finite-difference (FD) schemes specify derivative approximations implicitly, thus to achieve parallelism with domain-decomposition suitable partitioning of linear systems is required. Consistent order of accuracy, dispersion, and…

General Relativity and Quantum Cosmology · Physics 2023-03-01 Boris Daszuta

Recent years have witnessed the rapid development of block coordinate update (BCU) methods, which are particularly suitable for problems involving large-sized data and/or variables. In optimization, BCU first appears as the coordinate…

Optimization and Control · Mathematics 2018-01-04 Yangyang Xu

Stochastic nonconvex optimization problems with nonlinear constraints have a broad range of applications in intelligent transportation, cyber-security, and smart grids. In this paper, first, we propose an inexact-proximal accelerated…

Optimization and Control · Mathematics 2021-07-08 Morteza Boroun , Afrooz Jalilzadeh

This paper introduces a new approach for the computation of electromagnetic field derivatives, up to any order, with respect to the material and geometric parameters of a given geometry, in a single Finite-Difference Time-Domain (FDTD)…

Numerical Analysis · Mathematics 2024-12-20 Kae-An Liu , Hans-Dieter Lang , Costas D. Sarris
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