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One exact and two heuristic algorithms for determining the generators, orbits and order of the graph automorphism group are presented. A basic tool of these algorithms is the well-known individualization and refinement procedure. A search…

Data Structures and Algorithms · Computer Science 2016-07-27 Stoicho D. Stoichev

We study private stochastic convex optimization (SCO) under user-level differential privacy (DP) constraints. In this setting, there are $n$ users (e.g., cell phones), each possessing $m$ data items (e.g., text messages), and we need to…

Machine Learning · Computer Science 2024-10-25 Andrew Lowy , Daogao Liu , Hilal Asi

The Subgraph Isomorphism problem is of considerable importance in computer science. We examine the problem when the pattern graph H is of bounded treewidth, as occurs in a variety of applications. This problem has a well-known algorithm via…

Data Structures and Algorithms · Computer Science 2021-05-12 Karl Bringmann , Jasper Slusallek

The multichannel rendezvous problem is a fundamental problem for neighbor discovery in many IoT applications. The existing works in the literature focus mostly on improving the worst-case performance, and the average-case performance is…

Networking and Internet Architecture · Computer Science 2022-11-14 Guann-Yng Jiang , Cheng-Shang Chang

We consider the NP-hard problem of finding a spanning tree with a maximum number of internal vertices. This problem is a generalization of the famous Hamiltonian Path problem. Our dynamic-programming algorithms for general and…

Data Structures and Algorithms · Computer Science 2009-06-12 Henning Fernau , Serge Gaspers , Daniel Raible

Decision tree learning is a widely used approach in machine learning, favoured in applications that require concise and interpretable models. Heuristic methods are traditionally used to quickly produce models with reasonably high accuracy.…

Interval scheduling is a basic problem in the theory of algorithms and a classical task in combinatorial optimization. We develop a set of techniques for partitioning and grouping jobs based on their starting and ending times, that enable…

Data Structures and Algorithms · Computer Science 2023-02-27 Spencer Compton , Slobodan Mitrović , Ronitt Rubinfeld

Distributed Denial of Service (DDoS) attacks have become more prominent recently, both in frequency of occurrence, as well as magnitude. Such attacks render key Internet resources unavailable and disrupt its normal operation. It is…

Cryptography and Security · Computer Science 2014-12-22 Michael Kallitsis , Stilian Stoev , George Michailidis

The Practimum-Optimum (P-O) algorithm represents a paradigm shift in developing automatic optimization products for complex real-life business problems such as large-scale manufacturing scheduling. It leverages deep business domain…

Artificial Intelligence · Computer Science 2024-08-20 Moshe BenBassat

Estimating the density of a distribution from its samples is a fundamental problem in statistics. Hypothesis selection addresses the setting where, in addition to a sample set, we are given $n$ candidate distributions -- referred to as…

Data Structures and Algorithms · Computer Science 2025-10-23 Maryam Aliakbarpour , Zhan Shi , Ria Stevens , Vincent X. Wang

We present a novel self-stabilizing algorithm for minimum spanning tree (MST) construction. The space complexity of our solution is $O(\log^2n)$ bits and it converges in $O(n^2)$ rounds. Thus, this algorithm improves the convergence time of…

Distributed, Parallel, and Cluster Computing · Computer Science 2010-07-26 Lélia Blin , Shlomi Dolev , Maria Potop-Butucaru , Stephane Rovedakis

Optimal Transport (OT) distances are now routinely used as loss functions in ML tasks. Yet, computing OT distances between arbitrary (i.e. not necessarily discrete) probability distributions remains an open problem. This paper introduces a…

Optimization and Control · Mathematics 2020-07-03 Arthur Mensch , Gabriel Peyré

Autonomous high-speed navigation through large, complex environments requires real-time generation of agile trajectories that are dynamically feasible, collision-free, and satisfy state or actuator constraints. Modern trajectory planning…

Robotics · Computer Science 2025-12-16 Helene J. Levy , Brett T. Lopez

Hierarchical Clustering is a popular unsupervised machine learning method with decades of history and numerous applications. We initiate the study of differentially private approximation algorithms for hierarchical clustering under the…

Machine Learning · Computer Science 2023-05-25 Jacob Imola , Alessandro Epasto , Mohammad Mahdian , Vincent Cohen-Addad , Vahab Mirrokni

We present deterministic algorithms for maintaining a $(3/2 + \epsilon)$ and $(2 + \epsilon)$-approximate maximum matching in a fully dynamic graph with worst-case update times $\hat{O}(\sqrt{n})$ and $\tilde{O}(1)$ respectively. The…

Data Structures and Algorithms · Computer Science 2021-11-22 Peter Kiss

This paper proposes a stable sparse rapidly-exploring random trees (SST) algorithm to solve the optimal motion planning problem for hybrid systems. At each iteration, the proposed algorithm, called HySST, selects a vertex with the lowest…

Robotics · Computer Science 2023-05-31 Nan Wang , Ricardo G. Sanfelice

In this paper, we consider a planning problem for a hierarchical finite state machine (HFSM) and develop an algorithm for efficiently computing optimal plans between any two states. The algorithm consists of an offline and an online step.…

Systems and Control · Electrical Eng. & Systems 2023-04-28 Elis Stefansson , Karl H. Johansson

We study the $k$-server problem in the resource augmentation setting i.e., when the performance of the online algorithm with $k$ servers is compared to the offline optimal solution with $h \leq k$ servers. The problem is very poorly…

Data Structures and Algorithms · Computer Science 2017-04-12 Nikhil Bansal , Marek Eliáš , Łukasz Jeż , Grigorios Koumoutsos

Autonomous agents need to make decisions in a sequential manner, under partially observable environment, and in consideration of how other agents behave. In critical situations, such decisions need to be made in real time for example to…

Artificial Intelligence · Computer Science 2019-07-16 Takayuki Osogami , Toshihiro Takahashi

We consider the online traveling salesman problem on the real line (OLTSPL) in which a salesman begins at the origin, traveling at no faster than unit speed along the real line, and wants to serve a sequence of requests, arriving online…

Data Structures and Algorithms · Computer Science 2025-07-10 Pei-Chuan Chen , Erik D. Demaine , Chung-Shou Liao , Hao-Ting Wei