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There are two main factors limiting the performance of quantum key distribution --- channel transmission loss and noise. Previously, a linear bound was believed to put an upper limit on the rate-transmittance performance. Remarkably, the…

Quantum Physics · Physics 2020-07-01 Pei Zeng , Weijie Wu , Xiongfeng Ma

This paper presents a distributed continuous-time optimization framework aimed at overcoming the challenges posed by time-varying cost functions and constraints in multi-agent systems, particularly those subject to disturbances. By…

Systems and Control · Electrical Eng. & Systems 2024-09-10 Zeinab Ebrahimi , Mohammad Deghat

Algorithmic robust statistics has traditionally focused on the contamination model where a small fraction of the samples are arbitrarily corrupted. We consider a recent contamination model that combines two kinds of corruptions: (i) small…

Data Structures and Algorithms · Computer Science 2024-10-23 Thanasis Pittas , Ankit Pensia

Federated sequential recommendation distributes model training across user devices so that behavioural data remains local, reducing privacy risks. Yet, this setting introduces two intertwined difficulties. On the one hand, individual…

Information Retrieval · Computer Science 2026-03-02 Minh Hieu Nguyen

We revisit the classic problem of spreading a piece of information in a group of $n$ fully connected processors. By suitably adding a small dose of randomness to the protocol of Gasienic and Pelc (1996), we derive for the first time…

Data Structures and Algorithms · Computer Science 2015-01-06 Benjamin Doerr , Carola Doerr , Shay Moran , Shlomo Moran

Many existing fairness criteria for machine learning involve equalizing some metric across protected groups such as race or gender. However, practitioners trying to audit or enforce such group-based criteria can easily face the problem of…

Machine Learning · Computer Science 2020-11-11 Serena Wang , Wenshuo Guo , Harikrishna Narasimhan , Andrew Cotter , Maya Gupta , Michael I. Jordan

Message passing algorithms, whose iterative nature captures well complicated interactions among interconnected variables in complex systems and extracts information from the fixed point of iterated messages, provide a powerful toolkit in…

Disordered Systems and Neural Networks · Physics 2022-02-28 Chun-Yan Zhao , Yan-Rong Fu , Jin-Hua Zhao

In this article, we consider the residual regularization path-following method with the trust-region updating strategy for the linear complementarity problem. This time-stepping selection based on the trust-region updating strategy…

Optimization and Control · Mathematics 2023-01-31 Xin-long Luo , Sen Zhang , Hang Xiao

The problem of synchronization in heterogeneous networks of linear systems with nonlinear delayed diffusive coupling is considered. The network is presented in new coordinates mean-field dynamics and synchronization errors. Thus the problem…

Adaptation and Self-Organizing Systems · Physics 2022-05-11 Sergei A. Plotnikov

We consider a gossip network, consisting of $n$ nodes, which tracks the information at a source. The source updates its information with a Poisson arrival process and also sends updates to the nodes in the network. The nodes themselves can…

Information Theory · Computer Science 2023-10-03 Purbesh Mitra , Sennur Ulukus

Inference for probabilistic graphical models is still very much a practical challenge in large domains. The commonly used and effective belief propagation (BP) algorithm and its generalizations often do not converge when applied to hard,…

Artificial Intelligence · Computer Science 2012-07-02 Gal Elidan , Ian McGraw , Daphne Koller

A unified framework for analyzing generalized synchronization in coupled chaotic systems from data is proposed. The key of the proposed approach is the use of the kernel methods recently developed in the field of machine learning. Several…

Chaotic Dynamics · Physics 2009-11-11 Hiromichi Suetani , Yukito Iba , Kazuyuki Aihara

Group synchronization refers to estimating a collection of group elements from the noisy pairwise measurements. Such a nonconvex problem has received much attention from numerous scientific fields including computer vision, robotics, and…

Optimization and Control · Mathematics 2021-12-14 Linglingzhi Zhu , Jinxin Wang , Anthony Man-Cho So

The generalized phase retrieval problem over compact groups aims to recover a set of matrices -- representing an unknown signal -- from their associated Gram matrices. This framework generalizes the classical phase retrieval problem, which…

Signal Processing · Electrical Eng. & Systems 2025-11-20 Tal Amir , Tamir Bendory , Nadav Dym , Dan Edidin

We consider a group synchronization problem with multiple frequencies which involves observing pairwise relative measurements of group elements on multiple frequency channels, corrupted by Gaussian noise. We study the computational phase…

Statistics Theory · Mathematics 2024-06-06 Anastasia Kireeva , Afonso S. Bandeira , Dmitriy Kunisky

This paper is devoted to deterministic consensus in synchronous dynamic networks with unidirectional links, which are under the control of an omniscient message adversary. Motivated by unpredictable node/system initialization times and…

Distributed, Parallel, and Cluster Computing · Computer Science 2015-08-06 Manfred Schwarz , Kyrill Winkler , Ulrich Schmid

This study investigates the capabilities of Cyclic Redundancy Checks(CRCs) to detect burst and random errors. Researchers have favored these error detection codes throughout the evolution of computing and have implemented them in…

Networking and Internet Architecture · Computer Science 2022-05-24 Waylon Jepsen

We study the problem of corrupted sensing, a generalization of compressed sensing in which one aims to recover a signal from a collection of corrupted or unreliable measurements. While an arbitrary signal cannot be recovered in the face of…

Information Theory · Computer Science 2014-02-05 Rina Foygel , Lester Mackey

In this paper, we study feedback dynamical systems with memoryless controllers under imperfect information. We develop an algorithm that searches for "adversarial scenarios", which can be thought of as the strategy for the adversary…

Systems and Control · Electrical Eng. & Systems 2021-08-10 Liren Yang , Necmiye Ozay

Probabilistic inference problems arise naturally in distributed systems such as sensor networks and teams of mobile robots. Inference algorithms that use message passing are a natural fit for distributed systems, but they must be robust to…

Artificial Intelligence · Computer Science 2012-07-19 Mark Paskin , Carlos E. Guestrin