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Numerical simulations of complex multiphysics systems, such as char combustion considered herein, yield numerous state variables that inherently exhibit physical constraints. This paper presents a new approach to augment Operator Inference…

计算物理 · 物理学 2026-05-15 Hyeonghun Kim , Boris Kramer

Recent LLM-guided evolutionary search methods have shown that iterative program mutation can discover strong algorithms, but they typically optimize each task independently, even when related tasks share reusable structure. We introduce…

机器学习 · 计算机科学 2026-05-22 Halil Alperen Gozeten , Xuechen Zhang , Emrullah Ildiz , Ege Onur Taga , Tara Javidi , Samet Oymak

This paper delves into the realm of stochastic optimization for compositional minimax optimization - a pivotal challenge across various machine learning domains, including deep AUC and reinforcement learning policy evaluation. Despite its…

机器学习 · 计算机科学 2023-12-13 Jin Liu , Xiaokang Pan , Junwen Duan , Hongdong Li , Youqi Li , Zhe Qu

Multiobjective design optimization problems require multiobjective optimization techniques to solve, and it is often very challenging to obtain high-quality Pareto fronts accurately. In this paper, the recently developed flower pollination…

最优化与控制 · 数学 2014-08-25 Xin-She Yang , M. Karamanoglu , X. S. He

For quantum state preparation, a non-unitary operator is typically designed to decay undesirable states contained in an initial state using ancilla qubits and a probabilistic action. Probabilistic algorithms do not accelerate the…

量子物理 · 物理学 2023-08-22 Hirofumi Nishi , Taichi Kosugi , Yusuke Nishiya , Yu-ichiro Matsushita

Modern optimization algorithms that incorporate momentum and adaptive step-size offer improved performance in numerous challenging deep learning tasks. However, their effectiveness is often highly sensitive to the choice of hyperparameters,…

机器学习 · 计算机科学 2025-08-22 Rustem Islamov , Niccolo Ajroldi , Antonio Orvieto , Aurelien Lucchi

The optimization of parallel kinematic manipulators (PKM) involve several constraints that are difficult to formalize, thus making optimal synthesis problem highly challenging. The presence of passive joint limits as well as the…

机器人学 · 计算机科学 2022-02-25 Haribhau Durgesh , Guillaume Michel , Shivesh Kumar , Marcello Sanguineti , Damien Chablat

The multi-gradient descent algorithm (MGDA) finds a common descent direction that can improve all objectives by identifying the minimum-norm point in the convex hull of the objective gradients. This method has become a foundational tool in…

最优化与控制 · 数学 2025-04-16 Yuan-Zheng Lei , Yaobang Gong , Xianfeng Terry Yang

In this work, we present a transition-state optimization protocol based on the Mode-Tracking algorithm [J. Chem. Phys. 118 (2003) 1634]. By calculating only the eigenvector of interest instead of diagonalizing the full Hessian matrix and…

计算物理 · 物理学 2015-07-24 Maike Bergeler , Carmen Herrmann , Markus Reiher

We propose an accelerated meta-algorithm, which allows to obtain accelerated methods for convex unconstrained minimization in different settings. As an application of the general scheme we propose nearly optimal methods for minimizing…

In this paper, we study the placement of Phasor Measurement Units (PMU) for enhancing hybrid state estimation via the traditional Gauss-Newton method, which uses measurements from both PMU devices and Supervisory Control and Data…

最优化与控制 · 数学 2016-11-15 Xiao Li , Anna Scaglione , Tsung-Hui Chang

Iterative steady-state solvers are widely used in computational fluid dynamics. Unfortunately, it is difficult to obtain steady-state solution for unstable problem caused by physical instability and numerical instability. Optimization is a…

计算工程、金融与科学 · 计算机科学 2023-11-21 Wenbo Cao , Yilang Liu , Xianglin Shan , Chuanqiang Gao , Weiwei Zhang

Gradient descent ascent (GDA), the simplest single-loop algorithm for nonconvex minimax optimization, is widely used in practical applications such as generative adversarial networks (GANs) and adversarial training. Albeit its desirable…

机器学习 · 计算机科学 2021-12-13 Junchi Yang , Antonio Orvieto , Aurelien Lucchi , Niao He

Reachability analysis aims at identifying states reachable by a system within a given time horizon. This task is known to be computationally expensive for linear hybrid systems. Reachability analysis works by iteratively applying continuous…

系统与控制 · 计算机科学 2022-05-03 Sergiy Bogomolov , Marcelo Forets , Goran Frehse , Kostiantyn Potomkin , Christian Schilling

Rank minimization (RM) is a wildly investigated task of finding solutions by exploiting low-rank structure of parameter matrices. Recently, solving RM problem by leveraging non-convex relaxations has received significant attention. It has…

机器学习 · 计算机科学 2018-09-17 Zaiyi Chen

In recent years, the Adaptive Antoulas-Anderson AAA algorithm has established itself as the method of choice for solving rational approximation problems. Data-driven Model Order Reduction (MOR) of large-scale Linear Time-Invariant (LTI)…

数值分析 · 数学 2024-01-19 Tommaso Bradde , Stefano Grivet-Talocia , Quirin Aumann , Ion Victor Gosea

In this paper, a hybrid non-orthogonal multiple access (NOMA) framework for the simultaneous transmitting and reflecting reconfigurable intelligent surface (STAR-RIS) enhanced cell-edge communication is investigated. Specifically, one…

信息论 · 计算机科学 2023-07-06 Jiayi Lei , Tiankui Zhang , Yuanwei Liu

This paper focuses on the design of sequential quadratic optimization (commonly known as SQP) methods for solving large-scale nonlinear optimization problems. The most computationally demanding aspect of such an approach is the computation…

最优化与控制 · 数学 2020-02-27 James V. Burke , Frank E. Curtis , Hao Wang , Jiashan Wang

Phasor measurement units (PMUs) have the advantage of providing direct measurements of power states. However, as the number of PMUs in a power system is limited, the traditional supervisory control and data acquisition (SCADA) system cannot…

系统与控制 · 计算机科学 2016-07-12 Jian Du , Shaodan Ma , Yik-Chung Wu , H. Vincent Poor

The Joint Routing-Assignment (JRA) optimization problem simultaneously determines the assignment of items to placeholders and a Hamiltonian cycle that visits each node pair exactly once, with the objective of minimizing total travel cost.…

人工智能 · 计算机科学 2025-11-14 Qilong Yuan
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