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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…

This paper presents a general framework for generating greedy algorithms for solving convex constraint satisfaction problems for sparse solutions by mapping the satisfaction problem into one of graph traversal on a rooted tree of unknown…

Data Structures and Algorithms · Computer Science 2015-09-16 Tarek A. Lahlou , Alan V. Oppenheim

When greedy search algorithms encounter a local minima or plateau, the search typically devolves into a breadth-first search (BrFS), or a local search technique is used in an attempt to find a way out. In this work, we formally analyze the…

Artificial Intelligence · Computer Science 2024-06-25 Daniel Platnick , Richard Anthony Valenzano

Searching in P2P networks is fundamental to all overlay networks. P2P networks based on Distributed Hash Tables (DHT) are optimized for single key lookups, whereas unstructured networks offer more complex queries at the cost of increased…

Networking and Internet Architecture · Computer Science 2008-08-11 Dirk Bradler , Jussi Kangasharju , Max Muehlhaeuser

Reinforcement learning (RL) with tree search has demonstrated superior performance in traditional reasoning tasks. Compared to conventional independent chain sampling strategies with outcome supervision, tree search enables better…

Machine Learning · Computer Science 2025-06-16 Zhenyu Hou , Ziniu Hu , Yujiang Li , Rui Lu , Jie Tang , Yuxiao Dong

A focused crawler aims at discovering as many web pages and web sites relevant to a target topic as possible, while avoiding irrelevant ones. Reinforcement Learning (RL) has been a promising direction for optimizing focused crawling,…

Information Retrieval · Computer Science 2025-05-20 Andreas Kontogiannis , Dimitrios Kelesis , Vasilis Pollatos , George Giannakopoulos , Georgios Paliouras

The purpose of this report is to explain how the textbook breadth-first search algorithm (BFS) can be modified in order to also create a compact representation of all shortest paths connecting a single source node to all the nodes reachable…

Databases · Computer Science 2023-02-03 Domagoj Vrgoč

Consider an agent exploring an unknown graph in search of some goal state. As it walks around the graph, it learns the nodes and their neighbors. The agent only knows where the goal state is when it reaches it. How do we reach this goal…

Data Structures and Algorithms · Computer Science 2023-01-02 Siddhartha Banerjee , Vincent Cohen-Addad , Anupam Gupta , Zhouzi Li

We revisit the Maximum Node-Disjoint Paths problem, the natural optimization version of Node-Disjoint Paths, where we are given a graph $G$, $k$ pairs of vertices $(s_i, t_i)$ and an integer $\ell$, and are asked whether there exist at…

Data Structures and Algorithms · Computer Science 2025-09-18 Michael Lampis , Manolis Vasilakis

Breadth-first search (BFS) is known as a basic search strategy for learning graph properties. As the scales of graph databases have increased tremendously in recent years, large-scale graphs G are often disk-resident. Obtaining the BFS…

Data Structures and Algorithms · Computer Science 2025-07-18 Xiaolong Wan , Xixian Han

Knuth and Moore presented a theoretical lower bound on the number of leaves that any fixed-depth minimax tree-search algorithm traversing a uniform tree must explore, the so-called minimal tree. Since real-life minimax trees are not…

Artificial Intelligence · Computer Science 2014-04-08 Aske Plaat , Jonathan Schaeffer , Wim Pijls , Arie de Bruin

We present linear-time algorithms for partitioning a path or a tree with weights on the vertices by removing $k$ edges to maximize the minimum-weight component. We also use the same framework to partition a path with weight on the vertices,…

Data Structures and Algorithms · Computer Science 2017-11-03 Greg N. Frederickson , Samson Zhou

Searching spatial data is an important operation for scientific simulations which are performed mostly with periodic boundary conditions. An R-Tree is a well known tree data structure used to contain spatial objects and it is capable of…

Data Structures and Algorithms · Computer Science 2017-12-11 Toru Niina

Most practitioners use a variant of the Alpha-Beta algorithm, a simple depth-first pro- cedure, for searching minimax trees. SSS*, with its best-first search strategy, reportedly offers the potential for more efficient search. However, the…

Artificial Intelligence · Computer Science 2015-05-08 Aske Plaat , Jonathan Schaeffer , Wim Pijls , Arie de Bruin

We study the problem of efficient adversarial attacks on tree based ensembles such as gradient boosting decision trees (GBDTs) and random forests (RFs). Since these models are non-continuous step functions and gradient does not exist, most…

Machine Learning · Computer Science 2020-10-23 Chong Zhang , Huan Zhang , Cho-Jui Hsieh

We consider a family of local search algorithms for the minimum-weight spanning tree, indexed by a parameter $\rho$. One step of the local search corresponds to replacing a connected induced subgraph of the current candidate graph whose…

Probability · Mathematics 2022-05-11 Louigi Addario-Berry , Jordan Barrett , Benoît Corsini

We propose a simple and natural approximation algorithm for the problem of finding a 2-edge-connected spanning subgraph of minimum total edge cost in a graph. The algorithm maintains a spanning forest starting with an empty edge set. In…

Data Structures and Algorithms · Computer Science 2018-11-21 Stephan Beyer , Markus Chimani , Joachim Spoerhase

Balancing exploration and exploitation remains a key challenge in reinforcement learning (RL). State-of-the-art RL algorithms suffer from high sample complexity, particularly in the sparse reward case, where they can do no better than to…

Machine Learning · Computer Science 2020-01-22 Philippe Morere , Gilad Francis , Tom Blau , Fabio Ramos

This work presents a fully integrated tree-based combined exploration-planning algorithm: Exploration-RRT (ERRT). The algorithm is focused on providing real-time solutions for local exploration in a fully unknown and unstructured…

Robotics · Computer Science 2024-07-08 Björn Lindqvist , Akash Patel , Kalle Löfgren , George Nikolakopoulos

We give a dynamic programming solution to find the minimum cost of a diameter constrained Steiner tree in case of directed graphs. Then we show a simple reduction from undirected version to the directed version to realize an algorithm of…

Data Structures and Algorithms · Computer Science 2021-10-20 Prashanth Amireddy , Chetan Sai Digumarthi
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