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Linear discriminant analysis (LDA) is a fundamental classification and dimension reduction method that achieves Bayes optimality under Gaussian mixture, but often struggles in high-dimensional settings where the covariance matrix cannot be…

Computation · Statistics 2026-04-06 Cencheng Shen , Yuexiao Dong

Projection-free conditional gradient (CG) methods are the algorithms of choice for constrained optimization setups in which projections are often computationally prohibitive but linear optimization over the constraint set remains…

Optimization and Control · Mathematics 2021-06-17 Alejandro Carderera , Jelena Diakonikolas , Cheuk Yin Lin , Sebastian Pokutta

Neural routing solvers (NRSs) that leverage deep learning to tackle vehicle routing problems have demonstrated notable potential for practical applications. By learning implicit heuristic rules from data, NRSs replace the handcrafted…

Optimization and Control · Mathematics 2026-03-17 Yunpeng Ba , Xi Lin , Changliang Zhou , Ruihao Zheng , Zhenkun Wang , Xinyan Liang , Zhichao Lu , Jianyong Sun , Yuhua Qian , Qingfu Zhang

We study a class of generalized linear programs (GLP) in a large-scale setting, which includes simple, possibly nonsmooth convex regularizer and simple convex set constraints. By reformulating (GLP) as an equivalent convex-concave min-max…

Optimization and Control · Mathematics 2023-04-10 Chaobing Song , Cheuk Yin Lin , Stephen J. Wright , Jelena Diakonikolas

Sequential recommender systems have become increasingly important in real-world applications that model user behavior sequences to predict their preferences. However, existing sequential recommendation methods predominantly rely on…

Information Retrieval · Computer Science 2025-06-05 Enze Liu , Bowen Zheng , Xiaolei Wang , Wayne Xin Zhao , Jinpeng Wang , Sheng Chen , Ji-Rong Wen

Finding a feasible and prompt solution to the Vehicle Routing Problem (VRP) is a prerequisite for efficient freight transportation, seamless logistics, and sustainable mobility. Traditional optimization methods reach their limits when…

Machine Learning · Computer Science 2024-11-08 Elija Deineko , Carina Kehrt

Large language model (LLM)-enhanced recommendation models inject LLM representations into backbone recommenders to exploit rich item text without inference-time LLM cost. However, we find that existing LLM-enhanced methods significantly…

Information Retrieval · Computer Science 2026-04-23 Zhangchi Zhu , Wei Zhang

Local reconstruction analysis (LRA) is a powerful and flexible technique to study images reconstructed from discrete generalized Radon transform (GRT) data, $g=\mathcal R f$. The main idea of LRA is to obtain a simple formula to accurately…

Numerical Analysis · Mathematics 2025-06-27 Alexander Katsevich

We consider the problem of accelerating column generation (CG) for logistics optimization problems using vehicle routing as an example. Without loss of generality, we focus on the Capacitated Vehicle Routing Problem (CVRP) via the addition…

Optimization and Control · Mathematics 2021-08-23 Julian Yarkony , Naveed Haghani , Amelia Regan

Global Route-Planning Algorithms (GRPA) are required to compute paths between several points located on Earth's surface. A geodesic algorithm is employed as an auxiliary tool, increasing the precision of distance calculations. This work…

Data Structures and Algorithms · Computer Science 2016-10-17 William C. da Rosa , Iury V. de Bessa , Lucas C. Cordeiro

This paper introduces a novel algorithm for solving the point-to-point shortest path problem in a static regular 8-neighbor connectivity (G8) grid. This algorithm can be seen as a generalization of Hadlock algorithm to G8 grids, and is…

Artificial Intelligence · Computer Science 2023-08-23 Adel Ammar

The Capacitated Vehicle Routing Problem (CVRP) underpins modern last-mile logistics. Current Neural Combinatorial Optimization (NCO) methods construct CVRP solutions autoregressively, inheriting sequential decoding bottlenecks, sensitivity…

Machine Learning · Computer Science 2026-05-12 Samuel J. K. Chin , Maximilian Schiffer

Alternating direction multiplication is a powerful technique for solving convex optimisation problems. When challenging subproblems are encountered in the real world, it is useful to solve them by introducing neighbourhood terms. When the…

Optimization and Control · Mathematics 2024-04-29 Boran Wang

We develop a general framework for MAP estimation in discrete and Gaussian graphical models using Lagrangian relaxation techniques. The key idea is to reformulate an intractable estimation problem as one defined on a more tractable graph,…

Artificial Intelligence · Computer Science 2007-10-02 Jason K. Johnson , Dmitry M. Malioutov , Alan S. Willsky

To develop driving automation technologies for human, a human-centered methodology should be adopted for ensured safety and satisfactory user experience. Automated lane change decision in dense highway traffic is challenging, especially…

Robotics · Computer Science 2021-12-28 Daofei Li , Ao Liu

We introduce in this paper a new variant of a location routing problem, to decide, the number and location of drop-off points to install based on the demands of a set of pick-up points, according to a given set-up budget for installing…

Optimization and Control · Mathematics 2025-05-09 Maria Albareda-Sambola , Víctor Blanco , Yolanda Hinojosa

The locally repairable codes (LRCs) were introduced to correct erasures efficiently in distributed storage systems. LRCs are extensively studied recently. In this paper, we first deal with the open case remained in \cite{q} and derive an…

Information Theory · Computer Science 2015-06-17 Jun Zhang , Xin Wang , Gennian Ge

Vehicle mobility optimization in urban areas is a long-standing problem in smart city and spatial data analysis. Given the complex urban scenario and unpredictable social events, our work focuses on developing a mobile sequential…

Machine Learning · Computer Science 2021-11-18 Pengzhan Guo , Keli Xiao , Zeyang Ye , Wei Zhu

When vehicle routing decisions are intertwined with higher-level decisions, the resulting optimization problems pose significant challenges for computation. Examples are the multi-depot vehicle routing problem (MDVRP), where customers are…

Neural and Evolutionary Computing · Computer Science 2024-09-10 Abhay Sobhanan , Junyoung Park , Jinkyoo Park , Changhyun Kwon

For multi-vehicle complex traffic scenarios in shared spaces such as intelligent intersections, safe coordination and trajectory planning is challenging due to computational complexity. To meet this challenge, we introduce a computationally…

Systems and Control · Electrical Eng. & Systems 2025-12-15 Amirreza Akbari , Johan Thunberg
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