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Optimal resource allocation (RA) in massive carrier aggregation scenarios is a challenging combinatorial optimization problem whose dimension is proportional to the number of users, component carriers (CCs), and OFDMA resource blocks per…

Information Theory · Computer Science 2017-06-19 Stelios Stefanatos , Fotis Foukalas , Theodoros A. Tsiftsis

We introduce a parametric form of pooling, based on a Gaussian, which can be optimized alongside the features in a single global objective function. By contrast, existing pooling schemes are based on heuristics (e.g. local maximum) and have…

Computer Vision and Pattern Recognition · Computer Science 2012-07-03 Matthew D. Zeiler , Rob Fergus

We study the following problem: Given a variable of interest, we would like to find a best linear predictor for it by choosing a subset of $k$ relevant variables obeying a matroid constraint. This problem is a natural generalization of…

Data Structures and Algorithms · Computer Science 2023-01-19 Theophile Thiery , Justin Ward

In this paper, we propose a novel partition reservation system to study the partition information and its transmission over a noise-free Boolean multi-access channel. The objective of transmission is not message restoration, but to…

Information Theory · Computer Science 2016-11-17 Shuhang Wu , Shuangqing Wei , Yue Wang , Ramachandran Vaidyanathan , Jian Yuan

The distributed matrix multiplication problem with an unknown number of stragglers is considered, where the goal is to efficiently and flexibly obtain the product of two massive matrices by distributing the computation across N servers.…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-07-23 Weiqi Li , Zhen Chen , Zhiying Wang , Syed A. Jafar , Hamid Jafarkhani

We show that the $A$-optimal design optimization problem over $m$ design points in $\mathbb{R}^n$ is equivalent to minimizing a quadratic function plus a group lasso sparsity inducing term over $n\times m$ real matrices. This observation…

Optimization and Control · Mathematics 2018-09-07 Guillaume Sagnol , Edouard Pauwels

In this paper, we introduce a distributed algorithm that optimizes the Gaussian signal covariance matrices of multi-antenna users transmitting to a common multi-antenna receiver under imperfect and possibly delayed channel state…

Information Theory · Computer Science 2015-02-06 Panayotis Mertikopoulos , Aris L. Moustakas

Mobile-edge cloud computing is a new paradigm to provide cloud computing capabilities at the edge of pervasive radio access networks in close proximity to mobile users. In this paper, we first study the multi-user computation offloading…

Networking and Internet Architecture · Computer Science 2015-10-06 Xu Chen , Lei Jiao , Wenzhong Li , Xiaoming Fu

We study the problem of partitioning a small sample of $n$ individuals from a mixture of $k$ product distributions over a Boolean cube $\{0, 1\}^K$ according to their distributions. Each distribution is described by a vector of allele…

Machine Learning · Computer Science 2008-02-21 Shuheng Zhou

This paper investigates the problem of joint subcarrier and power allocation in the coexistence of radar and multi-user communication systems. Specifically, in our research scenario, the base station (BS) provides information transmission…

Information Theory · Computer Science 2023-08-23 Jia Zhu , Yifeng Xiong , Junsheng Mu , Ronghui Zhang , Xiaojun Jing

In this paper we investigate the problem of optimal MDS-encoded cache placement at the wireless edge to minimize the backhaul rate in heterogeneous networks. We derive the backhaul rate performance of any caching scheme based on file…

Information Theory · Computer Science 2015-09-21 Valerio Bioglio , Frederic Gabry , Ingmar Land

The randomized $k$-number partitioning problem is the task to distribute $N$ i.i.d. random variables into $k$ groups in such a way that the sums of the variables in each group are as similar as possible. The restricted $k$-partitioning…

Disordered Systems and Neural Networks · Physics 2007-05-23 Anton Bovier , Irina Kurkova

Consider a problem where 4k given vectors need to be partitioned into k clusters of four vectors each. A cluster of four vectors is called a quad, and the cost of a quad is the sum of the component-wise maxima of the four vectors in the…

Data Structures and Algorithms · Computer Science 2018-07-06 Annette M. C. Ficker , Thomas Erlebach , Matus Mihalak , Frits C. R. Spieksma

We propose several differential decoding schemes for asynchronous multi-user MIMO systems based on orthogonal space-time block codes (OSTBCs) where neither the transmitters nor the receiver has knowledge of the channel. First, we derive…

Information Theory · Computer Science 2014-12-22 Sina Poorkasmaei , Hamid Jafarkhani

We study the problem of sampling weighted partial triangulations of a convex polygon. We consider the distribution where each partial triangulation $\sigma$ is chosen with probability proportional to $\lambda^{|\sigma|}$, where $\lambda>0$…

Discrete Mathematics · Computer Science 2026-05-22 Antonio Blanca , Alexandre Stauffer , Izabella Stuhl

In this paper, we consider the channel allocation problem for throughput maximization in cognitive radio networks with hardware-constrained secondary users. Specifically, we assume that secondary users exploit spectrum holes on a set of…

Networking and Internet Architecture · Computer Science 2014-04-09 Le Thanh Tan , Long Bao Le

This paper deals with scalar linear index codes for canonical multiple unicast index coding problems where there is a source with K messages and there are K receivers each wanting a unique message and having symmetric (with respect to the…

Information Theory · Computer Science 2015-10-30 Roop Kumar Bhattaram , Mahesh Babu Vaddi , B. Sundar Rajan

Gradient coding schemes effectively mitigate full stragglers in distributed learning by introducing identical redundancy in coded local partial derivatives corresponding to all model parameters. However, they are no longer effective for…

Information Theory · Computer Science 2023-04-26 Qi Wang , Ying Cui , Chenglin Li , Junni Zou , Hongkai Xiong

This paper proposes a cascade blockage model for analyzing the vision that a user has of a wireless network. This model, inspired by the classical multiplicative cascade models, has a radial structure meant to analyze blockages seen by the…

Information Theory · Computer Science 2022-02-14 F. Baccelli , B. Liu , L. Decreusefond , R. Song

For a positive integer $b\ge2$, the $b$-symbol code is a new coding framework proposed to combat $b$-errors in $b$-symbol read channels. Especially, the $2$-symbol code is called a symbol-pair code. Remarkably, a classical maximum distance…

Information Theory · Computer Science 2022-08-30 Canze Zhu , Qunying Liao