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We present the viewpoint that optimization problems encountered in machine learning can often be interpreted as minimizing a convex functional over a function space, but with a non-convex constraint set introduced by model parameterization.…

Machine Learning · Computer Science 2020-04-21 Yongqiang Cai , Qianxiao Li , Zuowei Shen

Sparse and convolutional constraints form a natural prior for many optimization problems that arise from physical processes. Detecting motifs in speech and musical passages, super-resolving images, compressing videos, and reconstructing…

Computer Vision and Pattern Recognition · Computer Science 2014-06-11 Hilton Bristow , Simon Lucey

In this paper, we look into the problem of channel assignment in multi-channel multi-radio wireless mesh networks. We propose a new learning automata based channel assignment scheme that adaptively improve network overall throughput by…

Networking and Internet Architecture · Computer Science 2014-05-15 Ziaeddin Beheshtifard , Mohammad Reza Meybodi

Wireless power charging enables portable devices to be permanently unplugged. Due to its low transmission power and low transmission efficiency, it requires much longer time slot to charge users compared with that for data transmission in…

Information Theory · Computer Science 2018-01-23 Yanju Gu

Duplicate detection is the problem of identifying whether a given item has previously appeared in a (possibly infinite) stream of data, when only a limited amount of memory is available. Unfortunately the infinite stream setting is…

Data Structures and Algorithms · Computer Science 2020-05-12 Rémi Géraud-Stewart , Marius Lombard-Platet , David Naccache

Pinching-antenna systems (PASS) represent an innovative advancement in flexible-antenna technologies, aimed at significantly improving wireless communications by ensuring reliable line-of-sight connections and dynamic antenna array…

Signal Processing · Electrical Eng. & Systems 2025-11-27 Jingjing Zhao , Haowen Song , Xidong Mu , Kaiquan Cai , Yanbo Zhu , Yuanwei Liu

We propose a simple yet effective wireless network coding and decoding technique for a multiple unicast network. It utilizes spatial diversity through cooperation between nodes which carry out distributed encoding operations dictated by…

Information Theory · Computer Science 2012-09-06 Tugcan Aktas , A. Ozgur Yilmaz , Emre Aktas

In assignment problems, decision makers are often interested in not only the optimal assignment, but also the sensitivity of the optimal assignment to perturbations in the assignment weights. Typically, only perturbations to individual…

Optimization and Control · Mathematics 2022-02-14 Elad Michael , Tony A. Wood , Chris Manzie , Iman Shames

We study the problems of covering or partitioning a polygon $P$ (possibly with holes) using a minimum number of small pieces, where a small piece is a connected sub-polygon contained in an axis-aligned unit square. For covering, we seek to…

We will introduce Euler-Maruyama approximations given by an orthogonal system in $L^{2}[0,1]$ for high dimensional SDEs, which could be finite dimensional approximations of SPDEs. In general, the higher the dimension is, the more one needs…

Probability · Mathematics 2021-04-06 Jirô Akahori , Masahiro Kinuya , Takashi Sawai , Tomooki Yuasa

We consider the distribution of the value of the optimal k-assignment in an m x n-matrix, where the entries are independent exponential random variables with arbitrary rates. We give closed formulas for both the Laplace transform of this…

Combinatorics · Mathematics 2007-05-23 Svante Linusson , Johan Waestlund

This two-part paper develops novel methodologies for using fractional programming (FP) techniques to design and optimize communication systems. Part I of this paper proposes a new quadratic transform for FP and treats its application for…

Information Theory · Computer Science 2018-05-09 Kaiming Shen , Wei Yu

In a large-scale and distributed matrix multiplication problem $C=A^{\intercal}B$, where $C\in\mathbb{R}^{r\times t}$, the coded computation plays an important role to effectively deal with "stragglers" (distributed computations that may…

Distributed, Parallel, and Cluster Computing · Computer Science 2018-04-19 Sinong Wang , Jiashang Liu , Ness Shroff

We present an alternate formulation of the partial assignment problem as matching random clique complexes, that are higher-order analogues of random graphs, designed to provide a set of invariants that better detect higher-order structure.…

Machine Learning · Computer Science 2020-07-30 Charu Sharma , Deepak Nathani , Manohar Kaul

In this paper, a reduced complexity algorithm is proposed for grouped-subcarriers and power allocation in the downlink of OFDMA packet access wireless systems. The available subcarriers for data communication are grouped into partitions…

Information Theory · Computer Science 2012-07-23 Noureddine Hamdi

We consider discrete pairwise energy minimization problem (weighted constraint satisfaction, max-sum labeling) and methods that identify a globally optimal partial assignment of variables. When finding a complete optimal assignment is…

Discrete Mathematics · Computer Science 2014-06-17 Alexander Shekhovtsov

Binary codes have been widely used in vision problems as a compact feature representation to achieve both space and time advantages. Various methods have been proposed to learn data-dependent hash functions which map a feature vector to a…

Computer Vision and Pattern Recognition · Computer Science 2014-10-22 Jie Feng , Wei Liu , Yan Wang

This paper deals with the accomplishment of total area coverage of an arbitrary region using sensors with a finite sensing radius of rs. For a given region, we aim to obtain a deterministic placement of sensors which, apart from ensuring…

Networking and Internet Architecture · Computer Science 2010-01-27 Shyam M , Anurag Kumar

The surveillance multisensor placement is an important optimization problem that consists of positioning several sensors of different types to maximize the coverage of a determined area while minimizing the cost of the deployment. In this…

Orthogonal Fractional Factorial Designs and in particular Orthogonal Arrays are frequently used in many fields of application, including medicine, engineering and agriculture. In this paper we present a methodology and an algorithm to find…

Methodology · Statistics 2015-01-15 Roberto Fontana