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We derive the optimal input states and the optimal quantum measurements for estimating the unitary action of a given symmetry group, showing how the optimal performance is obtained with a suitable use of entanglement. Optimality is defined…

Quantum Physics · Physics 2009-11-11 G. Chiribella , G. M. D'Ariano , M. F. Sacchi

In this paper we introduce a class of novel distributed algorithms for solving stochastic big-data convex optimization problems over directed graphs. In the addressed set-up, the dimension of the decision variable can be extremely high and…

Optimization and Control · Mathematics 2020-10-06 Francesco Farina , Giuseppe Notarstefano

We present a novel solution for Channel Assignment Problem (CAP) in Device-to-Device (D2D) wireless networks that takes into account the throughput estimation noise. CAP is known to be NP-hard in the literature and there is no practical…

Networking and Internet Architecture · Computer Science 2017-01-18 Mohd. Shabbir Ali , Pierre Coucheney , Marceau Coupechoux

We study first-order optimization algorithms under the constraint that the descent direction is quantized using a pre-specified budget of $R$-bits per dimension, where $R \in (0 ,\infty)$. We propose computationally efficient optimization…

Machine Learning · Computer Science 2022-08-17 Rajarshi Saha , Mert Pilanci , Andrea J. Goldsmith

We study the problem of finding the maximum of a function defined on the nodes of a connected graph. The goal is to identify a node where the function obtains its maximum. We focus on local iterative algorithms, which traverse the nodes of…

Social and Information Networks · Computer Science 2018-02-14 Muni Sreenivas Pydi , Varun Jog , Po-Ling Loh

We consider the task of minimizing the sum of convex functions stored in a decentralized manner across the nodes of a communication network. This problem is relatively well-studied in the scenario when the objective functions are smooth, or…

Optimization and Control · Mathematics 2024-05-29 Dmitry Kovalev , Ekaterina Borodich , Alexander Gasnikov , Dmitrii Feoktistov

Suppose we have a memory storing $0$s and $1$s and we want to estimate the frequency of $1$s by sampling. We want to do this I/O-efficiently, exploiting that each read gives a block of $B$ bits at unit cost; not just one bit. If the input…

Data Structures and Algorithms · Computer Science 2024-10-21 Shyam Narayanan , Václav Rozhoň , Jakub Tětek , Mikkel Thorup

In this paper, we focus on the decentralized composite optimization for convex functions. Because of advantages such as robust to the network and no communication bottle-neck in the central server, the decentralized optimization has…

Optimization and Control · Mathematics 2024-07-16 Haishan Ye , Xiangyu Chang

In a multihop wireless network, it is crucial but challenging to schedule transmissions in an efficient and fair manner. In this paper, a novel distributed node scheduling algorithm, called Local Voting, is proposed. This algorithm tries to…

Networking and Internet Architecture · Computer Science 2017-09-18 Dimitrios J. Vergados , Natalia Amelina , Yuming Jiang , Katina Kralevska , Oleg Granichin

Coded computing has emerged as a promising framework for tackling significant challenges in large-scale distributed computing, including the presence of slow, faulty, or compromised servers. In this approach, each worker node processes a…

Machine Learning · Computer Science 2026-03-26 Parsa Moradi , Behrooz Tahmasebi , Mohammad Ali Maddah-Ali

This article considers the problem of delay optimal bundling of the input symbols into transmit packets in the entry point of a wireless sensor network such that the link delay is minimized under an arbitrary arrival rate and a given…

Networking and Internet Architecture · Computer Science 2016-11-15 Abolfazl Razi , Fatemeh Afghah , Ali Abedi

Various applications involve assigning discrete label values to a collection of objects based on some pairwise noisy data. Due to the discrete---and hence nonconvex---structure of the problem, computing the optimal assignment (e.g.~maximum…

Information Theory · Computer Science 2017-12-11 Yuxin Chen , Emmanuel Candes

Non-linearity of a Boolean function indicates how far it is from any linear function. Despite there being several strong results about identifying a linear function and distinguishing one from a sufficiently non-linear function, we found a…

Quantum Physics · Physics 2021-12-28 Debajyoti Bera , Tharrmashastha Sapv

The interference management technique that treats interference as noise (TIN) is optimal when the interference is sufficiently low. Scheduling algorithms based on the TIN optimality condition have recently been proposed, e.g., for…

Information Theory · Computer Science 2018-07-03 Mudasar Bacha , Marco Di Renzo , Bruno Clerckx

Millimeter wave communications rely on narrow-beam transmissions to cope with the strong signal attenuation at these frequencies, thus demanding precise beam alignment between transmitter and receiver. The communication overhead incurred to…

Information Theory · Computer Science 2017-02-22 Muddassar Hussain , Nicolo Michelusi

Originated from distributed learning, federated learning enables privacy-preserved collaboration on a new abstracted level by sharing the model parameters only. While the current research mainly focuses on optimizing learning algorithms and…

Machine Learning · Computer Science 2020-09-17 Cong Wang , Yuanyuan Yang , Pengzhan Zhou

In recent years, the derivation of nonasymptotic converse and achievability bounds on the maximum coding rate as a function of the error probability and blocklength has gained attention in the information theory literature. While these…

Information Theory · Computer Science 2020-09-25 Alejandro Lancho , Jöhan Ostman , Giuseppe Durisi , Tobias Koch , Gonzalo Vazquez-Vilar

The information processing abilities of a multilayer neural network with a number of hidden units scaling as the input dimension are studied using statistical mechanics methods. The mapping from the input layer to the hidden units is…

Statistical Mechanics · Physics 2009-11-07 Michal Rosen-Zvi , Andreas Engel , Ido Kanter

This paper studies the possibility of upper bounding the position error of an estimate for range based positioning algorithms in wireless sensor networks. In this study, we argue that in certain situations when the measured distances…

Information Theory · Computer Science 2015-03-20 Mohammad Reza Gholami , Erik G. Ström , Henk Wymeersch , Mats Rydström

We study a mobile wireless sensor network (MWSN) consisting of multiple mobile sensors or robots. Three key factors in MWSNs, sensing quality, energy consumption, and connectivity, have attracted plenty of attention, but the interaction of…

Distributed, Parallel, and Cluster Computing · Computer Science 2018-06-20 Jun Guo , Hamid Jafarkhani