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Mixed Integer Programming (MIP) is NP-hard, and yet modern solvers often solve large real-world problems within minutes. This success can partially be attributed to heuristics. Since their behavior is highly instance-dependent, relying on…

Optimization and Control · Mathematics 2023-04-10 Antonia Chmiela , Ambros Gleixner , Pawel Lichocki , Sebastian Pokutta

Mobile robotic platforms are an indispensable tool for various scientific and industrial applications. Robots are used to undertake missions whose execution is constrained by various factors, such as the allocated time or their remaining…

Robotics · Computer Science 2018-01-12 Nikolaos Tsiogkas , David M. Lane

We present a homotopic approach to solving challenging, optimization-based motion planning problems. The approach uses Homotopy Optimization, which, unlike standard continuation methods for solving homotopy problems, solves a sequence of…

Robotics · Computer Science 2024-08-23 Shayan Pardis , Matthew Chignoli , Sangbae Kim

Stochastic algorithms are among the best for solving computationally hard search and reasoning problems. The runtime of such procedures is characterized by a random variable. Different algorithms give rise to different probability…

Artificial Intelligence · Computer Science 2013-02-08 Carla P. Gomes , Bart Selman

We consider wireless mesh networks and the problem of routing end-to-end traffic over multiple paths for the same origin-destination pair with minimal interference. We introduce a heuristic for path determination with two distinguishing…

Networking and Internet Architecture · Computer Science 2013-02-11 Fabio R. J. Vieira , José F. de Rezende , Valmir C. Barbosa , Serge Fdida

We posit that we can generate more robust and performant heuristics if we augment approaches using LLMs for heuristic design with tools that explain why heuristics underperform and suggestions about how to fix them. We find even simple…

Artificial Intelligence · Computer Science 2025-10-13 Pantea Karimi , Dany Rouhana , Pooria Namyar , Siva Kesava Reddy Kakarla , Venkat Arun , Behnaz Arzani

Real-life problems are often characterized by conflicting optimization objectives. Consequently, there has been a growing interest not only in multi-objective models, but also in specialized multi-objective metaheuristics for solving those…

Optimization and Control · Mathematics 2017-05-30 Piotr Matl , Richard F. Hartl , Thibaut Vidal

Classical planning aims to find a sequence of actions, a plan, that maps a starting state into one of the goal states. If a trajectory appears to be leading to the goal, should we prioritise exploring it? Seminal work in goal recognition…

Artificial Intelligence · Computer Science 2026-03-25 Giacomo Rosa , Jean Honorio , Nir Lipovetzky , Sebastian Sardina

When combined properly, search techniques can reveal the full potential of sophisticated branching heuristics. We demonstrate this observation on the well-known class of random 3-SAT formulae. First, a new branching heuristic is presented,…

Data Structures and Algorithms · Computer Science 2014-02-19 Sid Mijnders , Boris de Wilde , Marijn Heule

Search is a major technique for planning. It amounts to exploring a state space of planning domains typically modeled as a directed graph. However, prohibitively large sizes of the search space make search expensive. Developing better…

Artificial Intelligence · Computer Science 2011-06-28 You Xu , Yixin Chen , Qiang Lu , Ruoyun Huang

Efficient driving in urban traffic scenarios requires foresight. The observation of other traffic participants and the inference of their possible next actions depending on the own action is considered cooperative prediction and planning.…

Machine Learning · Computer Science 2022-03-11 Karl Kurzer , Marcus Fechner , J. Marius Zöllner

Stochastic Shortest Path problems (SSPs) are traditionally solved by computing each state's cost-to-go by applying Bellman backups. A Bellman backup updates a state's cost-to-go by iterating through every applicable action, computing the…

Artificial Intelligence · Computer Science 2026-04-03 Johannes Schmalz , Felipe Trevizan

Constrained pathfinding is a well-studied, yet challenging network optimisation problem that can be seen in a broad range of real-world applications. Pathfinding with multiple resource limits, which is known as the Resource Constrained…

Artificial Intelligence · Computer Science 2025-10-03 Saman Ahmadi , Andrea Raith , Mahdi Jalili

In this paper, we present a method of multi-robot motion planning by biasing centralized, sampling-based tree search with decentralized, data-driven steer and distance heuristics. Over a range of robot and obstacle densities, we evaluate…

With the goal of efficiently computing collision-free robot motion trajectories in dynamically changing environments, we present results of a novel method for Heuristics Informed Robot Online Path Planning (HIRO). Dividing robot…

Robotics · Computer Science 2024-10-29 Xi Huang , Gergely Sóti , Hongyi Zhou , Christoph Ledermann , Björn Hein , Torsten Kröger

Large Neighbourhood Search (LNS) is a powerful heuristic framework for solving Mixed-Integer Programming (MIP) problems. However, designing effective variable selection strategies in LNS remains challenging, especially for diverse sets of…

Optimization and Control · Mathematics 2025-01-22 Charly Robinson La Rocca , Jean-François Cordeau , Emma Frejinger

Modern data analytical workloads often need to run queries over a large number of tables. An optimal query plan for such queries is crucial for being able to run these queries within acceptable time bounds. However, with queries involving…

Databases · Computer Science 2022-03-02 Riccardo Mancini , Srinivas Karthik , Bikash Chandra , Vasilis Mageirakos , Anastasia Ailamaki

We propose a novel method for multi-objective motion planning problems by leveraging the paradigm of lexicographic optimization and applying it for the first time to graph search over probabilistic roadmaps. The competing resources of…

Robotics · Computer Science 2020-08-19 Tixiao Shan , Brendan Englot

We consider enhancing large language models (LLMs) for complex planning tasks. While existing methods allow LLMs to explore intermediate steps to make plans, they either depend on unreliable self-verification or external verifiers to…

Artificial Intelligence · Computer Science 2025-02-27 Hongyi Ling , Shubham Parashar , Sambhav Khurana , Blake Olson , Anwesha Basu , Gaurangi Sinha , Zhengzhong Tu , James Caverlee , Shuiwang Ji

One of the most critical issues in machine learning is the selection of appropriate hyper parameters for training models. Machine learning models may be able to reach the best training performance and may increase the ability to generalize…

Machine Learning · Computer Science 2023-02-23 Caner Erden , Halil Ibrahim Demir , Abdullah Hulusi Kökçam
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