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We propose Newton-PIPG, an efficient method for solving quadratic programming (QP) problems arising in optimal control, subject to additional set constraints. Newton-PIPG integrates the Proportional-Integral Projected Gradient (PIPG) method…

Optimization and Control · Mathematics 2025-03-31 Dayou Luo , Yue Yu , Maryam Fazel , Behçet Açıkmeşe

Point clouds in 3D applications frequently experience quality degradation during processing, e.g., scanning and compression. Reliable point cloud quality assessment (PCQA) is important for developing compression algorithms with good…

Computer Vision and Pattern Recognition · Computer Science 2024-06-17 Ryosuke Watanabe , Keisuke Nonaka , Eduardo Pavez , Tatsuya Kobayashi , Antonio Ortega

Deep neural networks (DNNs) have been widely used to solve partial differential equations (PDEs) in recent years. In this work, a novel deep learning-based framework named Particle Weak-form based Neural Networks (ParticleWNN) is developed…

Machine Learning · Computer Science 2023-11-14 Yaohua Zang , Gang Bao

In many modern machine learning applications, structures of underlying mathematical models often yield nonconvex optimization problems. Due to the intractability of nonconvexity, there is a rising need to develop efficient methods for…

Machine Learning · Computer Science 2017-05-16 Qunwei Li , Yi Zhou , Yingbin Liang , Pramod K. Varshney

Engineering structures are increasingly designed using numerical optimisation. However, traditional optimisation methods can be challenging with multiple objectives and many parameters. In machine learning, stable training of artificial…

Computational Engineering, Finance, and Science · Computer Science 2026-04-24 James Hipperson , Jonathan Hargreaves , Trevor Cox

This article describes haggies, a program for the generation of optimised programs for the efficient numerical evaluation of mathematical expressions. It uses a multivariate Horner-scheme and Common Subexpression Elimination to reduce the…

High Energy Physics - Phenomenology · Physics 2014-11-20 Thomas Reiter

We have recently implemented a new version of the quasiparticle self-consistent GW (QSGW) method in the ecalj package released at http://github.com/tkotani/ecalj. Since the new version of the ecalj is numerically stable and accurate…

Materials Science · Physics 2016-04-20 Daiki Deguchi , Kazunori Sato , Hiori Kino , Takao Kotani

A novel deep neural network classifier, a ``Particle transformer'' (PaRT), is introduced for the identification of highly Lorentz-boosted resonances reconstructed as single, multipronged jets in measurements and searches performed by the…

High Energy Physics - Experiment · Physics 2026-04-14 CMS Collaboration

In recent years, considerable progress has been made in the visual quality of Generative Adversarial Networks (GANs). Even so, these networks still suffer from degradation in quality for high-frequency content, stemming from a spectrally…

Computer Vision and Pattern Recognition · Computer Science 2021-02-12 Rinon Gal , Dana Cohen , Amit Bermano , Daniel Cohen-Or

We propose a novel scheme for rate-compatible arbitrary-length polar code construction for the additive white Gaussian noise (AWGN) channel. The proposed scheme is based on the concept of non-uniform channel polarization. The original polar…

Information Theory · Computer Science 2021-03-23 R. M. Oliveira , R. C. de Lamare

Motivated by approximation Bayesian computation using mean-field variational approximation and the computation of equilibrium in multi-species systems with cross-interaction, this paper investigates the composite geodesically convex…

Optimization and Control · Mathematics 2024-09-18 Rentian Yao , Xiaohui Chen , Yun Yang

In this chapter, we investigate recently proposed nonlinear conjugate gradient (NCG) methods for shape optimization problems. We briefly introduce the methods as well as the corresponding theoretical background and investigate their…

Optimization and Control · Mathematics 2025-10-14 Sebastian Blauth

This paper presents performance results comparing MPI-based implementations of the popular Conjugate Gradient (CG) method and several of its communication hiding (or 'pipelined') variants. Pipelined CG methods are designed to efficiently…

Distributed, Parallel, and Cluster Computing · Computer Science 2019-05-17 Siegfried Cools , Jeffrey Cornelis , Pieter Ghysels , Wim Vanroose

This work focuses on a class of general decentralized constraint-coupled optimization problems. We propose a novel nested primal-dual gradient algorithm (NPGA), which can achieve linear convergence under the weakest known condition, and its…

Optimization and Control · Mathematics 2025-05-06 Jingwang Li , Housheng Su

The quantum approximate optimization algorithm (QAOA) holds promise for combinatorial optimization but is constrained by limited qubits. While divide-and-conquer frameworks like QAOA$^{2}$ address scalability by partitioning graphs into…

Quantum Physics · Physics 2026-05-14 Zubin Zheng , Jiahao Wu , Shengcai Liu

Differentiable numerical simulations of physical systems have gained rising attention in the past few years with the development of automatic differentiation tools. This paper presents JAX-SSO, a differentiable finite element analysis…

Mathematical Software · Computer Science 2024-07-30 Gaoyuan Wu

In this paper, we propose WG-WaveNet, a fast, lightweight, and high-quality waveform generation model. WG-WaveNet is composed of a compact flow-based model and a post-filter. The two components are jointly trained by maximizing the…

Audio and Speech Processing · Electrical Eng. & Systems 2020-08-21 Po-chun Hsu , Hung-yi Lee

This work studies gradient coding (GC) in the context of distributed training problems with unreliable communication. We propose cooperative GC (CoGC), a novel gradient-sharing-based GC framework that leverages cooperative communication…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-07-08 Shudi Weng , Ming Xiao , Chao Ren , Mikael Skoglund

Image segmentation is the process of partitioning the image into significant regions easier to analyze. Nowadays, segmentation has become a necessity in many practical medical imaging methods as locating tumors and diseases. Hidden Markov…

Computer Vision and Pattern Recognition · Computer Science 2018-03-14 EL-Hachemi Guerrout , Samy Ait-Aoudia , Dominique Michelucci , Ramdane Mahiou

Jacobian-Enhanced Neural Networks (JENN) are densely connected multi-layer perceptrons, whose training process is modified to predict partial derivatives accurately. Their main benefit is better accuracy with fewer training points compared…

Machine Learning · Computer Science 2026-01-01 Steven H. Berguin
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