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In the orthogonal range reporting problem, we are to preprocess a set of $n$ points with integer coordinates on a $U \times U$ grid. The goal is to support reporting all $k$ points inside an axis-aligned query rectangle. This is one of the…

Data Structures and Algorithms · Computer Science 2014-11-04 Allan Grønlund , Kasper Green Larsen

Given an array of size $n$ from a total order, we consider the problem of constructing a data structure that supports various queries (range minimum/maximum queries with their variants and next/previous larger/smaller queries) efficiently.…

Data Structures and Algorithms · Computer Science 2025-06-05 Seungbum Jo , Geunho Kim

Cell-cell communication is often achieved by secreted signaling molecules that bind membrane-bound receptors. A common class of such receptors are G-protein coupled receptors, where extracellular binding induces changes on the membrane…

Subcellular Processes · Quantitative Biology 2020-03-04 Steven Blaber , David A. Sivak

A model of computation that is widely used in the formal analysis of reactive systems is symbolic algorithms. In this model the access to the input graph is restricted to consist of symbolic operations, which are expensive in comparison to…

Data Structures and Algorithms · Computer Science 2017-11-28 Krishnendu Chatterjee , Wolfgang Dvořák , Monika Henzinger , Veronika Loitzenbauer

To date, the only way to argue polynomial lower bounds for dynamic algorithms is via fine-grained complexity arguments. These arguments rely on strong assumptions about specific problems such as the Strong Exponential Time Hypothesis (SETH)…

Computational Complexity · Computer Science 2023-07-27 Sayan Bhattacharya , Danupon Nanongkai , Thatchaphol Saranurak

A quickest change detection problem is considered in a sensor network with observations whose statistical dependency structure across the sensors before and after the change is described by a decomposable graphical model (DGM). Distributed…

Signal Processing · Electrical Eng. & Systems 2021-09-08 Yicheng Chen , Rick S. Blum , Brian M. Sadler

Several novel mixed-integer linear and bilinear formulations are proposed for the optimum communication spanning tree problem. They implement the distance-based approach: graph distances are directly modeled by continuous, integral, or…

Optimization and Control · Mathematics 2021-01-12 Alexander Veremyev , Mikhail Goubko

In communication field, an important issue is to group users and base stations to as many as possible subnetworks satisfying certain interference constraints. These problems are usually formulated as a graph partition problems which…

Combinatorics · Mathematics 2020-09-30 Chicheng Ma , Yucong Tang , Guanghui Wang , Guiying Yan , Bo Bai

In engineering, uncertainty propagation aims to characterise system outputs under uncertain inputs. For interval uncertainty, the goal is to determine output bounds given interval-valued inputs, which is critical for robust design…

Machine Learning · Computer Science 2026-03-24 Ghifari Adam Faza , Jolan Wauters , Fabio Cuzzolin , Hans Hallez , David Moens

There are several known data structures that answer distance queries between two arbitrary vertices in a planar graph. The tradeoff is among preprocessing time, storage space and query time. In this paper we present three data structures…

Data Structures and Algorithms · Computer Science 2011-02-23 Yahav Nussbaum

This paper proposes a computationally efficient framework, based on interval analysis, for rigorous verification of nonlinear continuous-time dynamical systems with neural network controllers. Given a neural network, we use an existing…

Systems and Control · Electrical Eng. & Systems 2023-08-08 Saber Jafarpour , Akash Harapanahalli , Samuel Coogan

Implementing machine learning algorithms on Internet of things (IoT) devices has become essential for emerging applications, such as autonomous driving, environment monitoring. But the limitations of computation capability and energy…

Information Theory · Computer Science 2020-05-26 Xiufeng Huang , Sheng Zhou

In cellular wireless networks, user association refers to the problem of assigning mobile users to base station cells -- a critical, but challenging, problem in many emerging small cell and heterogeneous networks. This paper considers a…

Networking and Internet Architecture · Computer Science 2013-04-16 Changkyu Kim , Russell Ford , Yanjia Qi , Sundeep Rangan

For linear systems, many data-driven control methods rely on the behavioral framework, using historical data of the system to predict the future trajectories. However, measurement noise introduces errors in predictions. When the noise is…

Optimization and Control · Mathematics 2023-08-29 Baiwei Guo , Yuning Jiang , Colin N. Jones , Giancarlo Ferrari-Trecate

A key challenge in wireless networking is the management of interference between transmissions. Identifying which transmitters interfere with each other is a crucial first step. In this paper we cast the task of estimating the a wireless…

Information Theory · Computer Science 2016-12-19 Jing Yang , Stark Draper , Robert Nowak

The multiplayer promise set disjointness is one of the most widely used problems from communication complexity in applications. In this problem there are $k$ players with subsets $S^1, \ldots, S^k$, each drawn from $\{1, 2, \ldots, n\}$,…

Data Structures and Algorithms · Computer Science 2021-05-25 Akshay Kamath , Eric Price , David P. Woodruff

Two non-intrusive uncertainty propagation approaches are proposed for the performance analysis of engineering systems described by expensive-to-evaluate deterministic computer models with parameters defined as interval variables. These…

Signal Processing · Electrical Eng. & Systems 2022-02-15 Alice Cicirello , Filippo Giunta

Insertion-deletion codes (insdel codes for short) are used for correcting synchronization errors in communications, and in other many interesting fields such as DNA storage, date analysis, race-track memory error correction and language…

Information Theory · Computer Science 2022-06-02 Qinqin Ji , Dabin Zheng , Hao Chen , Xiaoqiang Wang

When designing an algorithm, one cares about arithmetic/computational complexity, but data movement (I/O) complexity plays an increasingly important role that highly impacts performance and energy consumption. For a given algorithm and a…

Computational Complexity · Computer Science 2024-04-26 Lionel Eyraud-Dubois , Guillaume Iooss , Julien Langou , Fabrice Rastello

This note presents a unified analysis of the identification of dynamical systems with low-rank constraints under high-dimensional scaling. This identification problem for dynamic systems are challenging due to the intrinsic dependency of…

Statistics Theory · Mathematics 2019-12-23 Junlin Li