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The subject of this work has its roots in the so called Schroedginer Bridge Problem (SBP) which asks for the most likely distribution of Brownian particles in their passage between observed empirical marginal distributions at two distinct…

系统与控制 · 计算机科学 2016-08-15 Yongxin Chen , Tryphon T. Georgiou , Michele Pavon

A new approach to combinatorial optimization based on systematic move-class deflation is proposed. The algorithm combines heuristics of genetic algorithms and simulated annealing, and is mainly entropy-driven. It is tested on two problems…

统计力学 · 物理学 2007-05-23 Reimer Kuehn , Yu-Cheng Lin , Gerhard Poeppel

In this paper we deal with the restricted Block Relocation Problem. We present a new lower bound and a heuristic approach for the problem. The proposed lower bound can be computed in polynomial time and it is provably better than some…

其他计算机科学 · 计算机科学 2022-06-27 Tiziano Bacci , Sara Mattia , Paolo Ventura

A recent set of techniques in the robotics community, known as certifiably correct methods, frames robotics problems as polynomial optimization problems (POPs) and applies convex, semidefinite programming (SDP) relaxations to either find or…

机器人学 · 计算机科学 2025-01-09 Connor Holmes , Frederike Dümbgen , Timothy D. Barfoot

This paper presents a new combinatorial optimisation task, the Subset Sum Matching Problem (SSMP), which is an abstraction of common financial applications such as trades reconciliation. We present three algorithms, two suboptimal and one…

The distributed optimization problem is set up in a collection of nodes interconnected via a communication network. The goal is to find the minimizer of a global objective function formed by the addition of partial functions locally known…

最优化与控制 · 数学 2022-06-07 Damián Marelli , Yong Xu , Minyue Fu , Zenghong Huang

We consider incremental inference problems from aggregate data for collective dynamics. In particular, we address the problem of estimating the aggregate marginals of a Markov chain from noisy aggregate observations in an incremental…

机器学习 · 统计学 2020-06-29 Rahul Singh , Isabel Haasler , Qinsheng Zhang , Johan Karlsson , Yongxin Chen

We propose a simple subsampling scheme for fast randomized approximate computation of optimal transport distances. This scheme operates on a random subset of the full data and can use any exact algorithm as a black-box back-end, including…

统计计算 · 统计学 2020-12-17 Max Sommerfeld , Jörn Schrieber , Yoav Zemel , Axel Munk

In this paper, we present a new stochastic algorithm, namely the stochastic block mirror descent (SBMD) method for solving large-scale nonsmooth and stochastic optimization problems. The basic idea of this algorithm is to incorporate the…

最优化与控制 · 数学 2013-09-10 Cong D. Dang , Guanghui Lan

In this work we revisit the Hopfield-Tank algorithm for the traveling salesman problem (TSP) and report encouraging results, with a different dynamics, that makes the algorithm more efficient finding better solutions in much less…

软凝聚态物质 · 物理学 2009-10-30 M. Argollo de Menezes , T. J. P. Penna

Existing neural constructive solvers for routing problems have predominantly employed transformer architectures, conceptualizing the route construction as a set-to-sequence learning task. However, their efficacy has primarily been…

机器学习 · 计算机科学 2024-08-08 Yong Liang Goh , Zhiguang Cao , Yining Ma , Yanfei Dong , Mohammed Haroon Dupty , Wee Sun Lee

Traveling Salesman Problem (TSP) is a classic NP-hard problem that has garnered significant attention from both academia and industry. While neural-based methods have shown promise for solving TSPs, they still face challenges in scaling to…

机器学习 · 计算机科学 2026-04-16 Tongkai Lu , Shuai Ma , Chongyang Tao

We study the Schr\"{o}dinger bridge problem (SBP) with nonlinear prior dynamics. In control-theoretic language, this is a problem of minimum effort steering of a given joint state probability density function (PDF) to another over a finite…

最优化与控制 · 数学 2021-03-17 Kenneth F. Caluya , Abhishek Halder

We address an optimal reachability problem for a planar manipulator in a constrained environment. After introducing the optmization problem in full generality, we practically embed the geometry of the workspace in the problem, by…

最优化与控制 · 数学 2021-01-21 Simone Cacace , Anna Chiara Lai , Paola Loreti

The purpose of this work is to introduce and characterize the Bounded Acceleration Shortest Path (BASP) problem, a generalization of the Shortest Path (SP) problem. This problem is associated to a graph: the nodes represent positions of a…

数据结构与算法 · 计算机科学 2024-04-10 Stefano Ardizzoni , Luca Consolini , Mattia Laurini , Marco Locatelli

The Traveling Thief Problem (TTP) is a multi-component optimization problem that captures the interplay between routing and packing decisions by combining the classical Traveling Salesperson Problem (TSP) and the Knapsack Problem (KP). The…

数据结构与算法 · 计算机科学 2026-04-22 Jan Eube , Kelin Luo , Aneta Neumann , Frank Neumann , Heiko Röglin

Heuristic algorithms have shown a good ability to solve a variety of optimization problems. Stockpile blending problem as an important component of the mine scheduling problem is an optimization problem with continuous search space…

神经与进化计算 · 计算机科学 2021-02-11 Yue Xie , Aneta Neumann , Frank Neumann

Product disassembly is a labor-intensive process and is far from being automated. Typically, disassembly is not robust enough to handle product varieties from different shapes, models, and physical uncertainties due to component…

机器人学 · 计算机科学 2020-07-08 Meng-Lun Lee , Sara Behdad , Xiao Liang , Minghui Zheng

The NP-hard scheduling problem P||C_max encompasses a set of tasks with known execution time which must be mapped to a set of identical machines such that the overall completion time is minimized. In this work, we improve existing…

数据结构与算法 · 计算机科学 2024-10-22 Matthew Akram , Nikolai Maas , Peter Sanders , Dominik Schreiber

We introduce a new approach to tackle the mobile manipulator task sequencing problem. We leverage computational geometry, graph theory and combinatorial optimization to yield a principled method to segment the task-space targets into…

机器人学 · 计算机科学 2021-10-22 Nicholas Adrian , Quang-Cuong Pham