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We consider a scenario involving computations over a massive dataset stored distributedly across multiple workers, which is at the core of distributed learning algorithms. We propose Lagrange Coded Computing (LCC), a new framework to…

Information Theory · Computer Science 2019-04-03 Qian Yu , Songze Li , Netanel Raviv , Seyed Mohammadreza Mousavi Kalan , Mahdi Soltanolkotabi , Salman Avestimehr

This paper presents efficient algorithms for solving the problem of aligning a protein structure template to a query amino-acid sequence, known as protein threading problem. We consider the problem as a special case of graph matching…

Quantitative Methods · Quantitative Biology 2007-05-23 Nicola Yanev , Rumen Andonov , Philippe Veber , Stefan Balev

The ultimate goal of any sparse coding method is to accurately recover from a few noisy linear measurements, an unknown sparse vector. Unfortunately, this estimation problem is NP-hard in general, and it is therefore always approached with…

A fundamental model of quantum computation is the programmable quantum gate array. This is a quantum processor that is fed by a program state that induces a corresponding quantum operation on input states. While being programmable, any…

Quantum Physics · Physics 2020-05-20 Leonardo Banchi , Jason Pereira , Seth Lloyd , Stefano Pirandola

In this paper, a compress-and-forward scheme with backward decoding is presented for the unicast wireless relay network. The encoding at the source and relay is a generalization of the noisy network coding scheme (NNC). While it achieves…

Information Theory · Computer Science 2016-11-17 Adnan Raja , Pramod Viswanath

The resource recharging station location routing problem is a generalization of the location routing problem with sophisticated and critical resource consumption and recharging constraints. Based on a representation of discretized acyclic…

Optimization and Control · Mathematics 2016-02-24 Gongyuan Lu , Xuesong Zhou , Qiyuan Peng , Bisheng He , Monirehalsadat Mahmoudi , Jun Zhao

Quantum optimization methods use a continuous degree-of-freedom of quantum states to heuristically solve combinatorial problems, such as the MAX-CUT problem, which can be attributed to various NP-hard combinatorial problems. This paper…

Quantum Physics · Physics 2025-01-15 Ruho Kondo , Yuki Sato , Rudy Raymond , Naoki Yamamoto

The graph bisection problem is the problem of partitioning the vertex set of a graph into two sets of given sizes such that the sum of weights of edges joining these two sets is optimized. We present a semidefinite programming relaxation…

Optimization and Control · Mathematics 2016-11-23 Renata Sotirov

Compressing large neural networks is an important step for their deployment in resource-constrained computational platforms. In this context, vector quantization is an appealing framework that expresses multiple parameters using a single…

Computer Vision and Pattern Recognition · Computer Science 2021-04-13 Julieta Martinez , Jashan Shewakramani , Ting Wei Liu , Ioan Andrei Bârsan , Wenyuan Zeng , Raquel Urtasun

The growing demand for high-speed data, quality of service (QoS) assurance and energy efficiency has triggered the evolution of 4G LTE-A networks to 5G and beyond. Interference is still a major performance bottleneck. This paper studies the…

Networking and Internet Architecture · Computer Science 2016-11-17 Ajay Thampi , Soung Chang Liew , Simon Armour , Zhong Fan , Lizhao You , Dritan Kaleshi

We introduce the new concept of computation coding. Similar to how rate-distortion theory is concerned with the lossy compression of data, computation coding deals with the lossy computation of functions. Particularizing to linear…

Information Theory · Computer Science 2021-02-02 Ralf Müller , Bernhard Gäde , Ali Bereyhi

In this paper, we propose an efficient algorithm for the network slicing problem which attempts to map multiple customized virtual network requests (also called services) to a common shared network infrastructure and allocate network…

Information Theory · Computer Science 2023-02-14 Wei-Kun Chen , Ya-Feng Liu , Fan Liu , Yu-Hong Dai , Zhi-Quan Luo

Multicriterion optimization and Pareto optimality are fundamental tools in economics. In this paper we propose a new relaxation method for solving multiple objective quadratic programming problems. Exploiting the technique of the linear…

Optimization and Control · Mathematics 2012-11-21 Yan-Qin Bai , Chuan-Hao Guo

The Alternating Direction Method of Multipliers (ADMM) has gained significant attention across a broad spectrum of machine learning applications. Incorporating the over-relaxation technique shows potential for enhancing the convergence rate…

Optimization and Control · Mathematics 2024-01-02 Jintao Song , Wenqi Lu , Yunwen Lei , Yuchao Tang , Zhenkuan Pan , Jinming Duan

Flexible network design deals with building a network that guarantees some connectivity requirements between its vertices, even when some of its elements (like vertices or edges) fail. In particular, the set of edges (resp. vertices) of a…

Data Structures and Algorithms · Computer Science 2024-04-16 Dylan Hyatt-Denesik , Afrouz Jabal Ameli , Laura Sanita

Higher order artificial neurons whose outputs are computed by applying an activation function to a higher order multinomial function of the inputs have been considered in the past, but did not gain acceptance due to the extra parameters and…

Neural and Evolutionary Computing · Computer Science 2025-04-22 Mathew Mithra Noel , Venkataraman Muthiah-Nakarajan , Yug D Oswal

Vector Quantization (VQ) is a well-known technique in deep learning for extracting informative discrete latent representations. VQ-embedded models have shown impressive results in a range of applications including image and speech…

Machine Learning · Computer Science 2023-10-05 Tanmay Gautam , Reid Pryzant , Ziyi Yang , Chenguang Zhu , Somayeh Sojoudi

We study a distributed antenna system where $L$ antenna terminals (ATs) are connected to a Central Processor (CP) via digital error-free links of finite capacity $R_0$, and serve $K$ user terminals (UTs). We contribute to the subject in the…

Information Theory · Computer Science 2013-03-06 Song-Nam Hong , Giuseppe Caire

A combinatorial optimization problem is to find an optimal solution under the constraints. This is one of the potential applications for quantum computers. Quantum Random Access Optimization (QRAO) is the quantum optimization algorithm that…

Quantum Physics · Physics 2024-05-03 Hiromichi Matsuyama , Wei-hao Huang , Kohji Nishimura , Yu Yamashiro

Cooperative beamforming in relay networks is considered, in which a source transmits to its destination with the help of a set of cooperating nodes. The source first transmits locally. The cooperating nodes that receive the source signal…

Information Theory · Computer Science 2015-10-28 Jiangyuan Li , Athina P. Petropulu , H. Vincent Poor
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