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An algorithm for a family of self-starting high-order implicit time integration schemes with controllable numerical dissipation is proposed for both linear and nonlinear transient problems. This work builds on the previous works of the…

数值分析 · 数学 2024-09-23 Daniel O'Shea , Xiaoran Zhang , Shayan Mohammadian , Chongmin Song

The Joint Optimization of Fidelity and Commensurability (JOFC) manifold matching methodology embeds an omnibus dissimilarity matrix consisting of multiple dissimilarities on the same set of objects. One approach to this embedding optimizes…

机器学习 · 统计学 2016-11-01 Vince Lyzinski , Youngser Park , Carey E. Priebe , Michael W. Trosset

Multimodal fusion emerges as an appealing technique to improve model performances on many tasks. Nevertheless, the robustness of such fusion methods is rarely involved in the present literature. In this paper, we propose a training-free…

计算机视觉与模式识别 · 计算机科学 2022-04-07 Zhengqi Gao , Sucheng Ren , Zihui Xue , Siting Li , Hang Zhao

Quantum simulation of the interactions of fermions and bosons -- the fundamental particles of nature -- is essential for modeling complex quantum systems in material science, chemistry and high-energy physics and has been proposed as a…

Finite element simulations of frictional multi-body contact problems via conformal meshes can be challenging and computationally demanding. To render geometrical features, unstructured meshes must be used and this unavoidably increases the…

计算工程、金融与科学 · 计算机科学 2020-11-03 Chuanqi Liu , Waiching Sun

The linear conjugate gradient method is widely used in physical simulation, particularly for solving large-scale linear systems derived from Newton's method. The nonlinear conjugate gradient method generalizes the conjugate gradient method…

最优化与控制 · 数学 2024-05-15 Xing Shen , Runyuan Cai , Mengxiao Bi , Tangjie Lv

The image-based visual servoing without models of system is challenging since it is hard to fetch an accurate estimation of hand-eye relationship via merely visual measurement. Whereas, the accuracy of estimated hand-eye relationship…

机器人学 · 计算机科学 2022-11-22 Haibin Zeng , Yueyong Lyu , Jiaming Qi , Shuangquan Zou , Tanghao Qin , Wenyu Qin

We consider a family of steady free-surface flow problems in two dimensions, concentrating on the effect of nonlinearity on the train of gravity waves that appear downstream of a disturbance. By exploiting standard complex variable…

流体动力学 · 物理学 2018-03-14 Ravindra Pethiyagoda , Timothy J. Moroney , Scott W. McCue

Discretization of non-linear Poisson-Boltzmann Equation equations results in a system of non-linear equations with symmetric Jacobian. The Newton algorithm is the most useful tool for solving non-linear equations. It consists of solving a…

数学物理 · 物理学 2007-05-23 Sanjay Kumar Khattri

The lack of smoothness is a common feature of weak solutions of nonlinear hyperbolic equations and is a crucial issue in their approximation. This has motivated several efforts to define appropriate indicators, based on the values of the…

数值分析 · 数学 2020-03-18 Maurizio Falcone , Giulio Paolucci , Silvia Tozza

Hierarchical code coupling strategies make it possible to combine the results of individual numerical solvers into a self-consistent symplectic solution. We explore the possibility of allowing such a coupling strategy to be non-intrusive.…

天体物理仪器与方法 · 物理学 2020-04-22 Simon Portegies Zwart , Inti Pelupessy , Carmen Martinez-Barbosa , Arjen van Elteren , Steve McMillan

In this work we present and study an iterative algorithm used to asymptotically solve nonlinear differential equations. This algorithm (Iterative First Order HAM or IFOHAM) is based on the first order equation of the Homotopy Analysis…

数值分析 · 数学 2017-10-06 Miguel Moreira

In large language model (LLM) adaptation, balancing multiple optimization objectives such as improving factuality (heat) and increasing confidence (via low entropy) poses a fundamental challenge, especially when prompt parameters (e.g.,…

计算与语言 · 计算机科学 2025-08-19 Yao Wu

Feedforward computation, such as evaluating a neural network or sampling from an autoregressive model, is ubiquitous in machine learning. The sequential nature of feedforward computation, however, requires a strict order of execution and…

机器学习 · 计算机科学 2021-06-15 Yang Song , Chenlin Meng , Renjie Liao , Stefano Ermon

An iterative coupling algorithm based on restricted additive Schwarz domain decomposition is investigated to co-simulate electrical circuits with hybrid electromagnetic (EMT) and transient stability (TS) modeled using dynamic phasors. This…

数值分析 · 数学 2022-12-13 Héléna Shourick , Damien Tromeur-Dervout , Laurent Chédot

This paper is devoted to studying the global and finite convergence of the semi-smooth Newton method for solving a piecewise linear system that arises in cone-constrained quadratic programming problems and absolute value equations. We first…

最优化与控制 · 数学 2023-01-24 Nicolas F. Armijo , Yunier Bello-Cruz , Gabriel Haeser

We introduce a barrier-free optimization framework for non-penetration elastodynamic simulation that matches the robustness of Incremental Potential Contact (IPC) while overcoming its two primary efficiency bottlenecks: (1) reliance on…

图形学 · 计算机科学 2026-05-29 Juntian Zheng , Zhaofeng Luo , Minchen Li

Optimal feedback control with implicit Hamiltonians poses a fundamental challenge for learning-based value function methods due to the absence of closed-form optimal control laws. Recent work~\cite{gelphman2025end} introduced an implicit…

最优化与控制 · 数学 2026-04-28 Eric Gelphman , Deepanshu Verma , Nicole Tianjiao Yang , Stanley Osher , Samy Wu Fung

A broad spectrum of physical systems in condensed-matter and high-energy physics, vibrational spectroscopy, and circuit and cavity QED necessitates the incorporation of bosonic degrees of freedom, such as phonons, photons, and gluons, into…

量子物理 · 物理学 2025-02-28 Bo Peng , Yuan Su , Daniel Claudino , Karol Kowalski , Guang Hao Low , Martin Roetteler

This paper proposes a Koopman-based framework for modeling, prediction, and control of unknown nonlinear time-varying systems. We present a novel Koopman-based learning method for predicting the state of unknown nonlinear time-varying…

系统与控制 · 电气工程与系统科学 2026-01-30 Hengde Zhang , Yunxiao Ren , Zhisheng Duan , Zhiyong Sun , Guanrong Chen