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It is known that circularly symmetric Gaussian signals are the optimal input signals for the partial decode-and-forward (PDF) coding scheme in the Gaussian multiple-input multiple-output (MIMO) relay channel, but there is currently no…

信息论 · 计算机科学 2019-11-15 Christoph Hellings , Patrick Gest , Thomas Wiegart , Wolfgang Utschick

Full-duplex (FD) wireless is an attractive communication paradigm with high potential for improving network capacity and reducing delay in wireless networks. Despite significant progress on the physical layer development, the challenges…

网络与互联网体系结构 · 计算机科学 2018-11-28 Tingjun Chen , Jelena Diakonikolas , Javad Ghaderi , Gil Zussman

As a basic information-theoretic model for fading relay channels, the parallel relay channel is first studied, for which lower and upper bounds on the capacity are derived. For the parallel relay channel with degraded subchannels, the…

信息论 · 计算机科学 2007-07-13 Yingbin Liang , Venugopal V. Veeravalli , H. Vincent Poor

We consider a problem of maximizing a monotone DR-submodular function under multiple order-consistent knapsack constraints on a distributive lattice. Since a distributive lattice is used to represent a dependency constraint, the problem can…

数据结构与算法 · 计算机科学 2019-07-10 Takanori Maehara , So Nakashima , Yutaro Yamaguchi

Given a collection of $m$ sets from a universe $\mathcal{U}$, the Maximum Set Coverage problem consists of finding $k$ sets whose union has largest cardinality. This problem is NP-Hard, but the solution can be approximated by a polynomial…

数据结构与算法 · 计算机科学 2023-12-13 Stephen Jaud , Anthony Wirth , Farhana Choudhury

In this paper, we focus on the demodulation/decoding of the complex modulations/codes that approach the Shannon capacity. Theoretically, the maximum likelihood (ML) algorithm can achieve the optimal error performance whereas it has…

信息论 · 计算机科学 2022-06-14 Boxiang He , Zitao Wu , Fanggang Wang

In this paper, we study the compression of a target two-layer neural network with N nodes into a compressed network with M<N nodes. More precisely, we consider the setting in which the weights of the target network are i.i.d. sub-Gaussian,…

信息论 · 计算机科学 2022-08-17 Mohammad Hossein Amani , Simone Bombari , Marco Mondelli , Rattana Pukdee , Stefano Rini

For a graph $G$, let $Z(G,\lambda)$ be the partition function of the monomer-dimer system defined by $\sum_k m_k(G)\lambda^k$, where $m_k(G)$ is the number of matchings of size $k$ in $G$. We consider graphs of bounded degree and develop a…

数据结构与算法 · 计算机科学 2013-09-05 Marc Lelarge , Hang Zhou

In the Network Flow Interdiction problem an adversary attacks a network in order to minimize the maximum s-t-flow. Very little is known about the approximatibility of this problem despite decades of interest in it. We present the first…

数据结构与算法 · 计算机科学 2015-11-10 Stephen R. Chestnut , Rico Zenklusen

A primary challenge in metagenomics is reconstructing individual microbial genomes from the mixture of short fragments created by sequencing. Recent work leverages the sparsity of the assembly graph to find $r$-dominating sets which enable…

数据结构与算法 · 计算机科学 2023-01-24 Yosuke Mizutani , Annie Staker , Blair D. Sullivan

We consider the setting where the nodes of an undirected, connected network collaborate to solve a shared objective modeled as the sum of smooth functions. We assume that each summand is privately known by a unique node. NEAR-DGD is a…

最优化与控制 · 数学 2021-04-12 Charikleia Iakovidou , Ermin Wei

We study the complexity of training neural network models with one hidden nonlinear activation layer and an output weighted sum layer. We analyze Gradient Descent applied to learning a bounded target function on $n$ real-valued inputs. We…

机器学习 · 计算机科学 2019-05-28 Santosh Vempala , John Wilmes

Consider a Gaussian relay network where a number of sources communicate to a destination with the help of several layers of relays. Recent work has shown that a compress-and-forward based strategy at the relays can achieve the capacity of…

信息论 · 计算机科学 2013-04-30 Ritesh Kolte , Ayfer Özgür

Emerging reconfigurable optical communication technologies allow to enhance datacenter topologies with demand-aware links optimized towards traffic patterns. This paper studies the algorithmic problem of jointly optimizing topology and…

性能 · 计算机科学 2024-01-10 Wenkai Dai , Michael Dinitz , Klaus-Tycho Foerster , Long Luo , Stefan Schmid

In this paper, we study the capacity of the diamond channel. We focus on the special case where the channel between the source node and the two relay nodes are two separate links with finite capacities and the link from the two relay nodes…

信息论 · 计算机科学 2015-01-23 Wei Kang , Nan Liu , Weiwei Chong

The fundamental diversity-multiplexing tradeoff of the three-node, multi-input, multi-output (MIMO), quasi-static, Rayleigh faded, half-duplex relay channel is characterized for an arbitrary number of antennas at each node and in which…

信息论 · 计算机科学 2011-07-01 Sanjay Karmakar , Mahesh K. Varanasi

We study the problem of optimal traffic prediction and monitoring in large-scale networks. Our goal is to determine which subset of K links to monitor in order to "best" predict the traffic on the remaining links in the network. We consider…

数据结构与算法 · 计算机科学 2013-12-04 Michael Kallitsis , Stilian Stoev , George Michailidis

We study the densest subgraph problem and its NP-hard densest at-most-$k$ subgraph variant through the lens of learning-augmented algorithms. We show that, given a reasonably accurate predictor that estimates whether a node belongs to the…

数据结构与算法 · 计算机科学 2026-04-16 Thai Bui , Luan Nguyen , Hoa T. Vu

Recently, it has become evident that submodularity naturally captures widely occurring concepts in machine learning, signal processing and computer vision. Consequently, there is need for efficient optimization procedures for submodular…

机器学习 · 计算机科学 2013-11-19 Stefanie Jegelka , Francis Bach , Suvrit Sra

We study dual-based algorithms for distributed convex optimization problems over networks, where the objective is to minimize a sum $\sum_{i=1}^{m}f_i(z)$ of functions over in a network. We provide complexity bounds for four different…

最优化与控制 · 数学 2020-03-17 César A. Uribe , Soomin Lee , Alexander Gasnikov , Angelia Nedić