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In imitation learning for planning, parameters of heuristic functions are optimized against a set of solved problem instances. This work revisits the necessary and sufficient conditions of strictly optimally efficient heuristics for forward…

Artificial Intelligence · Computer Science 2023-10-31 Leah Chrestien , Tomás Pevný , Stefan Edelkamp , Antonín Komenda

There has been a large literature of neural architecture search, but most existing work made use of heuristic rules that largely constrained the search flexibility. In this paper, we first relax these manually designed constraints and…

Computer Vision and Pattern Recognition · Computer Science 2020-07-08 Kaifeng Bi , Lingxi Xie , Xin Chen , Longhui Wei , Qi Tian

Multi-Agent Path Finding (MAPF), i.e., finding collision-free paths for multiple robots, is important for many applications where small runtimes are necessary, including the kind of automated warehouses operated by Amazon. CBS is a leading…

Artificial Intelligence · Computer Science 2021-03-16 Jiaoyang Li , Wheeler Ruml , Sven Koenig

Since exact probabilistic inference is intractable in general for large multiply connected belief nets, approximate methods are required. A promising approach is to use heuristic search among hypotheses (instantiations of the network) to…

Artificial Intelligence · Computer Science 2013-03-26 Max Henrion

Multi-Agent Path Finding (MAPF) is the problem of finding a collection of collision-free paths for a team of multiple agents while minimizing some global cost, such as the sum of the time travelled by all agents, or the time travelled by…

Multiagent Systems · Computer Science 2022-06-02 Jaein Lim , Panagiotis Tsiotras

Single-objective bilevel optimization is a specialized form of constraint optimization problems where one of the constraints is an optimization problem itself. These problems are typically non-convex and strongly NP-Hard. Recently, there…

Neural and Evolutionary Computing · Computer Science 2024-02-13 Anuraganand Sharma

The indexing algorithms for the high-dimensional nearest neighbor search (NNS) with the best worst-case guarantees are based on the randomized Locality Sensitive Hashing (LSH), and its derivatives. In practice, many heuristic approaches…

Data Structures and Algorithms · Computer Science 2022-07-08 Alexandr Andoni , Daniel Beaglehole

Various model-based diagnosis scenarios require the computation of most preferred fault explanations. Existing algorithms that are sound (i.e., output only actual fault explanations) and complete (i.e., can return all explanations),…

Artificial Intelligence · Computer Science 2022-02-22 Patrick Rodler

Many recently proposed methods for Neural Architecture Search (NAS) can be formulated as bilevel optimization. For efficient implementation, its solution requires approximations of second-order methods. In this paper, we demonstrate that…

Machine Learning · Computer Science 2020-03-30 Chaoyang He , Haishan Ye , Li Shen , Tong Zhang

Heuristic search is often used for motion planning and pathfinding problems, for finding the shortest path in a graph while also promising completeness and optimal efficiency. The drawback is it's space complexity, specifically storing all…

Artificial Intelligence · Computer Science 2024-06-10 Davor Bokan , Zlatan Ajanovic , Bakir Lacevic

Neural Architecture Search (NAS) represents a class of methods to generate the optimal neural network architecture and typically iterate over candidate architectures till convergence over some particular metric like validation loss. They…

Machine Learning · Computer Science 2019-10-22 Abhishek Singh , Anubhav Garg , Jinan Zhou , Shiv Ram Dubey , Debo Dutta

We study the unsorted database search problem with items $N$ from the viewpoint of unitary discrimination. Instead of considering the famous $O(\sqrt{N})$ Grover's the bounded-error algorithm for the original problem, we seek for the…

Quantum Physics · Physics 2009-11-13 Xiaodi Wu , Runyao Duan

One-shot methods have significantly advanced the field of neural architecture search (NAS) by adopting weight-sharing strategy to reduce search costs. However, the accuracy of performance estimation can be compromised by co-adaptation.…

Machine Learning · Computer Science 2024-12-17 Jianfeng Li , Jiawen Zhang , Feng Wang , Lianbo Ma

This paper presents the Variable Landscape Search (VLS), a novel metaheuristic designed to globally optimize complex problems by dynamically altering the objective function landscape. Unlike traditional methods that operate within a static…

Optimization and Control · Mathematics 2024-08-08 Rustam Mussabayev , Ravil Mussabayev

Scaling Bayesian optimisation (BO) to high-dimensional search spaces is a active and open research problems particularly when no assumptions are made on function structure. The main reason is that at each iteration, BO requires to find…

Machine Learning · Statistics 2026-04-28 Hung Tran-The , Sunil Gupta , Santu Rana , Svetha Venkatesh

Potential heuristics for state-space search are defined as weighted sums over simple state features. Atomic features consider the value of a single state variable in a factored state representation, while binary features consider joint…

Artificial Intelligence · Computer Science 2019-09-27 Florian Pommerening , Malte Helmert , Blai Bonet

Levin Tree Search (LTS) is a search algorithm that makes use of a policy (a probability distribution over actions) and comes with a theoretical guarantee on the number of expansions before reaching a goal node, depending on the quality of…

Machine Learning · Computer Science 2024-11-13 Laurent Orseau , Marcus Hutter , Levi H. S. Lelis

Optimization of heuristic functions for the A* algorithm, realized by deep neural networks, is usually done by minimizing square root loss of estimate of the cost to goal values. This paper argues that this does not necessarily lead to a…

Machine Learning · Computer Science 2022-09-13 Leah Chrestien , Tomas Pevny , Antonin Komenda , Stefan Edelkamp

We extend the well-known BFGS quasi-Newton method and its memory-limited variant LBFGS to the optimization of nonsmooth convex objectives. This is done in a rigorous fashion by generalizing three components of BFGS to subdifferentials: the…

Machine Learning · Statistics 2010-11-30 Jin Yu , S. V. N. Vishwanathan , Simon Guenter , Nicol N. Schraudolph

One-Shot methods have evolved into one of the most popular methods in Neural Architecture Search (NAS) due to weight sharing and single training of a supernet. However, existing methods generally suffer from two issues: predetermined number…

Machine Learning · Computer Science 2020-03-24 Zan Shen , Jiang Qian , Bojin Zhuang , Shaojun Wang , Jing Xiao