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Solving mazes is not just a fun pastime. Mazes are prototype models in graph theory, topology, robotics, traffic optimization, psychology, and in many other areas of science and technology. However, when maze complexity increases their…

Mesoscale and Nanoscale Physics · Physics 2011-10-17 Yuriy V. Pershin , Massimiliano Di Ventra

Neural networks are known to give better performance with increased depth due to their ability to learn more abstract features. Although the deepening of networks has been well established, there is still room for efficient feature…

Computer Vision and Pattern Recognition · Computer Science 2023-03-01 Dumindu Tissera , Rukshan Wijessinghe , Kasun Vithanage , Alex Xavier , Subha Fernando , Ranga Rodrigo

Line planning, i.e. choosing paths which are operated by one vehicle end-to-end, is an important aspect of public transport planning. While there exists heuristic procedures for generating lines from scratch, most theoretical observations…

Combinatorics · Mathematics 2022-05-20 Irene Heinrich , Philine Schiewe , Constantin Seebach

Theoretical and empirical evidence indicates that the depth of neural networks is crucial for their success. However, training becomes more difficult as depth increases, and training of very deep networks remains an open problem. Here we…

Machine Learning · Computer Science 2015-11-24 Rupesh Kumar Srivastava , Klaus Greff , Jürgen Schmidhuber

Path planning in complex environments is one of the key problems of artificial intelligence because it requires simultaneous understanding of the geometry of space and the global structure of the problem. In this paper, we explore the…

Artificial Intelligence · Computer Science 2026-02-24 Agnieszka Polowczyk , Alicja Polowczyk , Michał Wieczorek

There is plenty of theoretical and empirical evidence that depth of neural networks is a crucial ingredient for their success. However, network training becomes more difficult with increasing depth and training of very deep networks remains…

Machine Learning · Computer Science 2015-11-04 Rupesh Kumar Srivastava , Klaus Greff , Jürgen Schmidhuber

Global optimisation problems in networks often require shortest path length computations to determine the most efficient route. The simplest and most common problem with a shortest path solution is perhaps that of a traditional labyrinth or…

Computational Physics · Physics 2013-03-19 Zhanyou Ye , Shi Hong Marcus Wu , Themistoklis Prodromakis

We propose a convenient matrix-free neural architecture for the multigrid method. The architecture is simple enough to be implemented in less than fifty lines of code, yet it encompasses a large number of distinct multigrid solvers. We…

Numerical Analysis · Mathematics 2024-02-09 Vladimir Fanaskov

The problem of autonomous indoor mapping is addressed. The goal is to minimize the time to achieve a predefined percentage of exposure with some desired level of certainty. The use of a pre-trained generative deep neural network, acting as…

Machine Learning · Computer Science 2022-08-16 Elchanan Zwecher , Eran Iceland , Shmuel Y. Hayoun , Ahavatya Revivo , Sean R. Levy , Ariel Barel

In recent years, learning-based approaches have revolutionized motion planning. The data generation process for these methods involves caching a large number of high quality paths for different queries (start, goal pairs) in various…

Robotics · Computer Science 2023-03-14 Sagar Suhas Joshi , Panagiotis Tsiotras

Carrier-grade networks comprise several layers where different protocols coexist. Nowadays, most of these networks have different control planes to manage routing on different layers, leading to a suboptimal use of the network resources and…

Networking and Internet Architecture · Computer Science 2016-11-17 Mohamed Lamine Lamali , Nasreddine Fergani , Johanne Cohen , Hélia Pouyllau

The objective function used in trajectory optimization is often non-convex and can have an infinite set of local optima. In such cases, there are diverse solutions to perform a given task. Although there are a few methods to find multiple…

Robotics · Computer Science 2021-07-14 Takayuki Osa

Deep neural networks are powerful machines for visual pattern recognition, but reasoning tasks that are easy for humans may still be difficult for neural models. Humans possess the ability to extrapolate reasoning strategies learned on…

Machine Learning · Computer Science 2021-11-03 Avi Schwarzschild , Eitan Borgnia , Arjun Gupta , Furong Huang , Uzi Vishkin , Micah Goldblum , Tom Goldstein

In this paper a deep reinforcement based multi-agent path planning approach is introduced. The experiments are realized in a simulation environment and in this environment different multi-agent path planning problems are produced. The…

Machine Learning · Computer Science 2021-10-05 Mert Çetinkaya

Multi-agent pathfinding (MAPF) is a problem that generally requires finding collision-free paths for multiple agents in a shared environment. Solving MAPF optimally, even under restrictive assumptions, is NP-hard, yet efficient solutions…

Multiagent Systems · Computer Science 2025-04-09 Anton Andreychuk , Konstantin Yakovlev , Aleksandr Panov , Alexey Skrynnik

We present a fast algorithm for the design of smooth paths (or trajectories) that are constrained to lie in a collection of axis-aligned boxes. We consider the case where the number of these safe boxes is large, and basic preprocessing of…

Robotics · Computer Science 2024-01-04 Tobia Marcucci , Parth Nobel , Russ Tedrake , Stephen Boyd

Real-time and efficient path planning is critical for all robotic systems. In particular, it is of greater importance for industrial robots since the overall planning and execution time directly impact the cycle time and automation…

Multi-agent Pathfinding (MAPF) problem generally asks to find a set of conflict-free paths for a set of agents confined to a graph and is typically solved in a centralized fashion. Conversely, in this work, we investigate the decentralized…

Artificial Intelligence · Computer Science 2023-10-03 Alexey Skrynnik , Anton Andreychuk , Maria Nesterova , Konstantin Yakovlev , Aleksandr Panov

We demonstrate that challenging shortest path problems can be solved via direct spline regression from a neural network, trained in an unsupervised manner (i.e. without requiring ground truth optimal paths for training). To achieve this, we…

Robotics · Computer Science 2021-03-10 Michal Pándy , Daniel Lenton , Ronald Clark

In recent times, an increasing number of researchers have been devoted to utilizing deep neural networks for end-to-end flight navigation. This approach has gained traction due to its ability to bridge the gap between perception and…

Robotics · Computer Science 2024-10-11 Zhichao Han , Long Xu , Liuao Pei , Fei Gao
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