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In this work we propose a batch version of the Greenkhorn algorithm for multimarginal regularized optimal transport problems. Our framework is general enough to cover, as particular cases, some existing algorithms like Sinkhorn and…

Machine Learning · Statistics 2021-12-07 Vladimir Kostic , Saverio Salzo , Massimilano Pontil

Scaling test-time compute enhances long chain-of-thought (CoT) reasoning, yet existing approaches face a fundamental trade-off between computational cost and coverage quality: either incurring high training expense or yielding redundant…

Machine Learning · Computer Science 2026-05-12 Ren Zhuang , Ben Wang , Shuifa Sun

Conventional algorithms in autonomous exploration face challenges due to their inability to accurately and efficiently identify the spatial distribution of convex regions in the real-time map. These methods often prioritize navigation…

Robotics · Computer Science 2025-03-18 Qiming Wang , Yulong Gao , Yang Wang , Xiongwei Zhao , Yijiao Sun , Xiangyan Kong

The Moving Target Traveling Salesman Problem (MT-TSP) seeks a trajectory that intercepts several moving targets, within a particular time window for each target. When generic nonlinear target trajectories or kinematic constraints on the…

Robotics · Computer Science 2026-03-24 Anoop Bhat , Geordan Gutow , Bhaskar Vundurthy , Zhongqiang Ren , Sivakumar Rathinam , Howie Choset

We propose a throughput-optimal biased backpressure (BP) algorithm for routing, where the bias is learned through a graph neural network that seeks to minimize end-to-end delay. Classical BP routing provides a simple yet powerful…

Signal Processing · Electrical Eng. & Systems 2022-11-22 Zhongyuan Zhao , Bojan Radojicic , Gunjan Verma , Ananthram Swami , Santiago Segarra

Trajectory data mining is crucial for smart city management. However, collecting large-scale trajectory datasets is challenging due to factors such as commercial conflicts and privacy regulations. Therefore, we urgently need trajectory…

Machine Learning · Computer Science 2025-02-04 Jingyuan Wang , Yujing Lin , Yudong Li

An algorithm based on Artificial Neural Networks is proposed in this paper to improve the accuracy of Inertial Navigation System (INS)/ Global Navigation Satellite System (GNSS) integrated navigation during the absence of GNSS signals. The…

Signal Processing · Electrical Eng. & Systems 2020-10-07 Uche Onyekpe , Vasile Palade , Stratis Kanarachos

In this paper we consider several problems concerning packet routing in distributed systems. Each problem is formulated using terms from Graph Theory and for each problem we present efficient, novel, algorithmic techniques for computing…

Data Structures and Algorithms · Computer Science 2009-06-19 Mugurel Ionut Andreica , Nicolae Tapus

We consider minimizing a sum of agent-specific nondifferentiable merely convex functions over the solution set of a variational inequality (VI) problem in that each agent is associated with a local monotone mapping. This problem finds an…

Optimization and Control · Mathematics 2022-12-13 Harshal D. Kaushik , Sepideh Samadi , Farzad Yousefian

In last-mile routing, the task of finding a route is often framed as a Traveling Salesman Problem to minimize travel time and associated cost. However, solutions stemming from this approach do not match the realized paths as drivers deviate…

Optimization and Control · Mathematics 2022-05-11 Mayukh Ghosh , Alex Kuiper , Roshan Mahes , Donato Maragno

Standard gradient-based iteration algorithms for optimization, such as gradient descent and its various proximal-based extensions to nonsmooth problems, are known to converge slowly for ill-conditioned problems, sometimes requiring many…

Numerical Analysis · Mathematics 2026-03-24 G. H. M. Araújo , O. A. Krzysik , H. De Sterck

Energy consumption is the major contributor associated with large and growing transportation cost in logistics. Optimal vehicle routing approaches can provide solutions to reduce their operating costs and address implications on energy.…

Optimization and Control · Mathematics 2020-01-24 Harshavardhan Desai , Ben Remer , Behdad Chalaki , Liuhui Zhao , Andreas Malikopoulos , Jackeline Rios-Torres

Timing optimization during the global placement of integrated circuits has been a significant focus for decades, yet it remains a complex, unresolved issue. Recent analytical methods typically use pin-level timing information to adjust net…

Hardware Architecture · Computer Science 2025-03-18 Yunqi Shi , Siyuan Xu , Shixiong Kai , Xi Lin , Ke Xue , Mingxuan Yuan , Chao Qian

Two-stage methods addressing continuous shortest path problems start local minimization from discrete shortest paths in a spatial graph. The convergence of such hybrid methods to global minimizers hinges on the discretization error induced…

Optimization and Control · Mathematics 2022-04-13 Ralf Borndörfer , Fabian Danecker , Martin Weiser

Optimal path planning requires finding a series of feasible states from the starting point to the goal to optimize objectives. Popular path planning algorithms, such as Effort Informed Trees (EIT*), employ effort heuristics to guide the…

The recommendation of appropriate development pathways, also known as ecological civilization patterns for achieving Sustainable Development Goals (namely, sustainable development patterns), are of utmost importance for promoting…

Information Retrieval · Computer Science 2023-09-22 Zhihang Yu , Shu Wang , Yunqiang Zhu , Wen Yuan , Xiaoliang Dai , Zhiqiang Zou

We investigate optimal routing and scheduling strategies for multi-hop wireless networks with rateless codes. Rateless codes allow each node of the network to accumulate mutual information from every packet transmission. This enables a…

Optimization and Control · Mathematics 2011-10-18 Rahul Urgaonkar , Michael J. Neely

Short-term road traffic prediction (STTP) is one of the most important modules in Intelligent Transportation Systems (ITS). However, network-level STTP still remains challenging due to the difficulties both in modeling the diverse traffic…

Machine Learning · Computer Science 2019-02-27 Lingyi Han , Kan Zheng , Long Zhao , Xianbin Wang , Xuemin Shen

Deep learning approaches have shown promising results in solving routing problems. However, there is still a substantial gap in solution quality between machine learning and operations research algorithms. Recently, another line of research…

Artificial Intelligence · Computer Science 2021-09-20 Nasrin Sultana , Jeffrey Chan , Tabinda Sarwar , Babak Abbasi , A. K. Qin

This paper addresses multi-robot informative path planning (IPP) for environmental monitoring. The problem involves determining informative regions in the environment that should be visited by robots to gather the most information about the…

Robotics · Computer Science 2024-03-12 Kalvik Jakkala , Srinivas Akella