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We propose nonparametric estimation of divergence measures between continuous distributions. Our approach is based on a plug-in kernel- type estimators of density functions. We give the uniform in bandwidth consistency for the proposal…

Methodology · Statistics 2014-06-24 Papa Ngom , Hamza Dhaker , Pierre Mendy , El Hadji Deme

This paper introduces a random modulation technique that is decoupled from the channel matrix, allowing it to be applied to arbitrary norm-bounded and spectrally convergent channel matrices. The proposed random modulation constructs an…

Information Theory · Computer Science 2026-01-01 Lei Liu , Yuhao Chi , Shunqi Huang

The optimal allocation of time and energy resources is characterized in a Wireless Powered Communication Network (WPCN) with non-Orthogonal Multiple Access (NOMA). We consider two different formulations; in the first one (max-sum), the…

Optimization and Control · Mathematics 2018-08-02 Mariam M. N. Aboelwafa , Mohamed A. Abd-Elmagid , Alessandro Biason , Karim G. Seddik , Tamer ElBatt , Michele Zorzi

The optimal coding scheme for communicating a Gaussian message over an Additive White Gaussian noise (AWGN) channel with AWGN output feedback, with a limited number of transmissions is unknown. Even if we restrict the scope of the coding…

Information Theory · Computer Science 2022-05-24 Rajesh Mishra , Deepanshu Vasal , Hyeji Kim

This paper proposes and analyzes a communication-efficient distributed optimization framework for general nonconvex nonsmooth signal processing and machine learning problems under an asynchronous protocol. At each iteration, worker machines…

Optimization and Control · Mathematics 2020-07-15 Jineng Ren , Jarvis Haupt

The problem of jamming on multiple-input multiple-output (MIMO) Gaussian channels is investigated in this paper. In the case of a single target legitimate signal, we show that the existing result based on the simplification of the system…

Information Theory · Computer Science 2016-03-03 Jie Gao , Sergiy A. Vorobyov , Hai Jiang

With an eye toward understanding complexity control in deep learning, we study how infinitesimal regularization or gradient descent optimization lead to margin maximizing solutions in both homogeneous and non-homogeneous models, extending…

Machine Learning · Statistics 2019-05-20 Mor Shpigel Nacson , Suriya Gunasekar , Jason D. Lee , Nathan Srebro , Daniel Soudry

For a state-dependent DMC with input alphabet $\mathcal{X}$ and state alphabet $\mathcal{S}$ where the i.i.d. state sequence is known causally at the transmitter, it is shown that by using at most…

Information Theory · Computer Science 2007-07-13 Hamidreza Farmanbar , Amir K. Khandani

In this paper, the Dynamic-Assignment Blahut-Arimoto (DAB) algorithm identifies finite-support probability mass functions (PMFs) with small cardinality that achieve capacity for amplitude-constrained (AC) Additive White Gaussian Noise…

Information Theory · Computer Science 2020-06-02 Derek Xiao , Linfang Wang , Richard D. Wesel

In recent years, high-order finite element methods on high-order meshes have attracted considerable attention. This work investigates the isoparametric upwind discontinuous Galerkin method for the radiation transport equation on a bounded…

Numerical Analysis · Mathematics 2026-05-06 Changhui Yao , Yunpan Ma , Lingxiao Li

This paper studies several properties of channel codes that approach the fundamental limits of a given (discrete or Gaussian) memoryless channel with a non-vanishing probability of error. The output distribution induced by an…

Information Theory · Computer Science 2013-09-03 Yury Polyanskiy , Sergio Verdu

Statistical mechanics approach is useful not only in analyzing macroscopic system performance of wireless communication systems, but also in discussing design problems of wireless communication systems. In this paper, we discuss a design…

Information Theory · Computer Science 2008-10-02 Koichiro Kitagawa , Toshiyuki Tanaka

Development of many futuristic technologies, such as MANET, VANET, iThings, nano-devices, depend on efficient distributed communication protocols in multi-hop ad hoc networks. A vast majority of research in this area focus on design…

Distributed, Parallel, and Cluster Computing · Computer Science 2013-02-19 Tomasz Jurdzinski , Dariusz R. Kowalski , Grzegorz Stachowiak

By the Riemann-mapping theorem, one can bijectively map the interior of an $n$-gon $P$ to that of another $n$-gon $Q$ conformally. However, (the boundary extension of) this mapping need not necessarily map the vertices of $P$ to those $Q$.…

Differential Geometry · Mathematics 2014-01-27 Mayank Goswami , Xianfeng Gu , Vamsi P. Pingali , Gaurish Telang

Accurate estimation of the Underwater acoustic (UWA) is a key part of underwater communications, especially for coherent systems. The severe multipath effects and large delay spreads make the estimation problem large-scale. The…

Signal Processing · Electrical Eng. & Systems 2023-08-25 Tian Tian , Agastya Raj , Bruno Missi Xavier , Ying Zhang , Feiyun Wu , Kunde Yang

Orthogonal coding schemes, known to asymptotically achieve the capacity per unit cost (CPUC) for single-user ergodic memoryless channels with a zero-cost input symbol, are investigated for single-user compound memoryless channels, which…

Information Theory · Computer Science 2009-09-29 Wenyi Zhang , Urbashi Mitra

In many signal processing applications, including communications, sonar, radar, and localization, a fundamental problem is the detection of a signal of interest in background noise, known as signal detection [1] [2]. A simple version of…

Signal Processing · Electrical Eng. & Systems 2025-12-16 Tom Anders , Hiten Prakash Kothari , R. Michael Buehrer

This paper proposes exploiting the spatial correlation of wireless channel statistics beyond the conventional received signal strength maps by constructing statistical radio maps to predict any relevant channel statistics to assist…

Signal Processing · Electrical Eng. & Systems 2022-08-17 Tobias Kallehauge , Pablo Ramìrez-Espinosa , Anders E. Kalør , Christophe Biscio , Petar Popovski

This paper investigates the optimization of the long-standing probabilistically robust transmit beamforming problem with channel uncertainties in the multiuser multiple-input single-output (MISO) downlink transmission. This problem poses…

Information Theory · Computer Science 2024-06-06 Kai Liang , Gan Zheng , Zan Li , Kai-Kit Wong , Chan-Byoung Chae

We want to reconstruct a signal based on inhomogeneous data (the amount of data can vary strongly), using the model of regression with a random design. Our aim is to understand the consequences of inhomogeneity on the accuracy of estimation…

Statistics Theory · Mathematics 2016-08-16 Stéphane Gaiffas