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This paper studies, for the first time, the trajectory planning problem in adversarial environments, where the objective is to design the trajectory of a robot to reach a desired final state despite the unknown and arbitrary action of an…

Optimization and Control · Mathematics 2019-10-25 Yin-Chen Liu , Gianluca Bianchin , Fabio Pasqualetti

Semi-discrete transport can be characterized in terms of real-valued shifts. Often, but not always, the solution to the shift-characterized problem partitions the continuous region. This paper gives examples of when partitioning fails, and…

Optimization and Control · Mathematics 2017-05-29 J. D. Walsh

The optimal transport problem has many applications in machine learning, physics, biology, economics, etc. Although its goal is very clear and mathematically well-defined, finding its optimal solution can be challenging for large datasets…

Numerical Analysis · Mathematics 2021-12-14 Roozbeh Yousefzadeh

Computation offloading (often to external computing resources over a network) has become a necessity for modern applications. At the same time, the proliferation of machine learning techniques has empowered malicious actors to use such…

Cryptography and Security · Computer Science 2023-05-16 Md Washik Al Azad , Shifat Sarwar , Sifat Ut Taki , Spyridon Mastorakis

Optimal transport is the problem of designing a joint distribution for two random variables with fixed marginals. In virtually the entire literature on this topic, the objective is to minimize expected cost. This paper is the first to study…

Econometrics · Economics 2026-02-13 Yinchu Zhu , Ilya O. Ryzhov

Considering topologies of anonymous networks we used to organizing anonymous communication into hard to trace paths hiding its origin or destination. In anonymity the company is crucial, however the serial transportation imposes a costly…

Cryptography and Security · Computer Science 2009-06-23 Igor Margasinski

This paper considers the problem of designing the user trajectory in a device-to-device communications setting. We consider a pair of pedestrians connected through a D2D link. The pedestrians seek to reach their respective destinations…

Optimization and Control · Mathematics 2018-04-16 Amrit S. Bedi , Ketan Rajawat , Marceau Coupechoux

Optimal transport (OT) is a framework that can be used to guide the optimal allocation of a limited amount of resources. The classical OT paradigm does not consider malicious attacks in its formulation and thus the designed transport plan…

Systems and Control · Electrical Eng. & Systems 2021-06-15 Jason Hughes , Juntao Chen

The paper presents a two-stage stochastic program to model a routing problem involving an Unmanned Aerial Vehicle (UAV) in the context of patrolling missions. In particular, given a set of targets and a set of supplemental targets…

Optimization and Control · Mathematics 2021-07-01 Sudarshan Rajan , Kaarthik Sundar , Natarajan Gautam

We consider the problem of privacy-preserving data release for a specific utility task under perfect obfuscation constraint. We establish the necessary and sufficient condition to extract features of the original data that carry as much…

Information Theory · Computer Science 2020-09-10 Behrooz Razeghi , Flavio. P. Calmon , Deniz Gunduz , Slava Voloshynovskiy

Data ecosystems are becoming larger and more complex due to online tracking, wearable computing, and the Internet of Things. But privacy concerns are threatening to erode the potential benefits of these systems. Recently, users have…

Cryptography and Security · Computer Science 2017-10-17 Jeffrey Pawlick , Quanyan Zhu

Patrolling consists of scheduling perpetual movements of a collection of mobile robots, so that each point of the environment is regularly revisited by any robot in the collection. In previous research, it was assumed that all points of the…

Distributed, Parallel, and Cluster Computing · Computer Science 2017-10-03 Huda Chuangpishit , Jurek Czyzowicz , Leszek Gasieniec , Konstantinos Georgiou , Tomasz Jurdzinski , Evangelos Kranakis

The problem of finding a path between two points while avoiding obstacles is critical in robotic path planning. We focus on the feasibility problem: determining whether such a path exists. We model the robot as a query-specific rectangular…

Computational Geometry · Computer Science 2025-04-16 Alex Fan , Alicia Li , Arul Kolla , Jason Gonzalez

This article considers the stochastic on-time arrival problem in transit networks where both the travel time and the waiting time for transit services are stochastic. A specific challenge of this problem is the combinatorial solution space…

Data Structures and Algorithms · Computer Science 2018-12-04 Yang Liu , Sebastien Blandin , Samitha Samaranayake

Tor, a widely utilized privacy network, enables anonymous communication but is vulnerable to flow correlation attacks that deanonymize users by correlating traffic patterns from Tor's ingress and egress segments. Various defenses have been…

Cryptography and Security · Computer Science 2025-10-21 Minjae Seo , Myoungsung You , Jaehan Kim , Taejune Park , Seungwon Shin , Jinwoo Kim

Routing and scheduling problems are fundamental problems in combinatorial optimization, and also have many applications. Most variations of these problems are NP-Hard, so we need to use heuristics to solve these problems on large instances,…

Data Structures and Algorithms · Computer Science 2015-02-20 Arindam Pal

This paper addresses the problem of planning a safe (i.e., collision-free) trajectory from an initial state to a goal region when the obstacle space is a-priori unknown and is incrementally revealed online, e.g., through line-of-sight…

Robotics · Computer Science 2018-04-17 Lucas Janson , Tommy Hu , Marco Pavone

Discrete optimal transportation problems arise in various contexts in engineering, the sciences and the social sciences. Often the underlying cost criterion is unknown, or only partly known, and the observed optimal solutions are corrupted…

Optimization and Control · Mathematics 2019-05-13 Andrew M. Stuart , Marie-Therese Wolfram

We present algorithms for multi-modal route planning in road and public transit networks, as well as in combined networks. Therefore, we explore the nearest neighbor and shortest path problem and propose solutions based on Cover-Trees, ALT…

Data Structures and Algorithms · Computer Science 2018-09-17 Daniel Tischner

Autonomous Vehicles are currently being tested in a variety of scenarios. As we move towards Autonomous Vehicles, how should intersections look? To answer that question, we break down an intersection management into the different conundrums…

Robotics · Computer Science 2018-09-10 Shravan Krishnan , Govind Aadithya R , Rahul Ramakrishnan , Vijay Arvindh , Sivanathan K