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Nonparametric detection of existence of an anomalous structure over a network is investigated. Nodes corresponding to the anomalous structure (if one exists) receive samples generated by a distribution q, which is different from a…

Machine Learning · Statistics 2017-10-11 Shaofeng Zou , Yingbin Liang , H. Vincent Poor

We study non-coherent detection schemes for molecular communication (MC) systems that do not require knowledge of the channel state information (CSI). In particular, we first derive the optimal maximum likelihood (ML) multiple-symbol (MS)…

Information Theory · Computer Science 2017-07-28 Vahid Jamali , Nariman Farsad , Robert Schober , Andrea Goldsmith

In this paper, we address the problem of target detection in the presence of coherent (or fully correlated) signals, which can be due to multipath propagation effects or electronic attacks by smart jammers. To this end, we formulate the…

Signal Processing · Electrical Eng. & Systems 2021-02-24 Sudan Han , Linjie Yan , Yuxuan Zhang , Pia Addabbo , Chengpeng Hao , Danilo Orlando

Group equivariance can overly constrain models if the symmetries in the group differ from those observed in data. While common methods address this by determining the appropriate level of symmetry at the dataset level, they are limited to…

Computer Vision and Pattern Recognition · Computer Science 2024-07-04 Alonso Urbano , David W. Romero

A spectral singularity is a mathematical notion with an intriguing physical realization in terms of certain zero-width resonances. In optics it manifests as lasing at the threshold gain. We explore the application of their…

Quantum Physics · Physics 2014-05-20 Ali Mostafazadeh

We investigate the asymptotic density of error-correcting codes with good distance properties and prescribed linearity degree, including sublinear and nonlinear codes. We focus on the general setting of finite translation-invariant metric…

Information Theory · Computer Science 2023-06-06 Anina Gruica , Anna-Lena Horlemann , Alberto Ravagnani , Nadja Willenborg

We give a new, very general, formulation of the compressed sensing problem in terms of coordinate projections of an analytic variety, and derive sufficient sampling rates for signal reconstruction. Our bounds are linear in the coherence of…

Machine Learning · Computer Science 2013-11-05 Franz J. Király , Louis Theran

In this paper, we study sufficient conditions for the emergence of asymptotic consensus and flocking in a certain class of non-linear generalised Cucker-Smale systems subject to multiplicative communication failures. Our approach is based…

Optimization and Control · Mathematics 2021-05-04 Benoît Bonnet , Émilien Flayac

We study the problem of designing optical receivers to discriminate between multiple coherent states using coherent processing receivers---i.e., one that uses arbitrary coherent feedback control and quantum-noise-limited direct…

Quantum Physics · Physics 2017-07-26 Hye Won Chung , Saikat Guha , Lizhong Zheng

We consider the problem of community detection from the joint observation of a high-dimensional covariate matrix and $L$ sparse networks, all encoding noisy, partial information about the latent community labels of $n$ subjects. In the…

Statistics Theory · Mathematics 2026-02-10 Shuyang Gong , Dong Huang , Zhangsong Li

This paper investigates the fundamental information-theoretic limits for the control and sensing of noiseless linear dynamical systems subject to a broad class of nonlinear observations. We analyze the interactions between the control and…

Systems and Control · Electrical Eng. & Systems 2026-01-21 Ming Li , Fan Liu , Yifeng Xiong , Jie Xu , Tao Liu

We develop a scenario for the emergence of a non-singular generic cosmological solution based on the a WKB characterization of one of the two anisotropy degrees of freedom. We investigate the dynamics of the so-called inhomogeneous…

General Relativity and Quantum Cosmology · Physics 2021-06-16 Giovanni Montani , Roberta Chiovoloni

Inspired by compressive sensing principles, we propose novel error control coding techniques for communication systems. The information bits are encoded in the support and the non-zero entries of a sparse signal. By selecting a dictionary…

Information Theory · Computer Science 2021-02-09 Madhusudan Kumar Sinha , Arun Pachai Kannu

We show that there is generically non-uniqueness for the anisotropic Calder\'on problem at fixed frequency when the Dirichlet and Neumann data are measured on disjoint sets of the boundary of a given domain. More precisely, we first show…

Analysis of PDEs · Mathematics 2017-06-28 Thierry Daudé , Niky Kamran , Francois Nicoleau

The proliferation of wireless devices necessitates more robust and reliable emitter detection and identification for critical tasks such as spectrum management and network security. Existing studies exploring methods for unknown emitters…

Signal Processing · Electrical Eng. & Systems 2025-12-10 Mikhail Krasnov , Ljupcho Milosheski , Mihael Mohorčič , Carolina Fortuna

In this paper, we study community detection when we observe $m$ sparse networks and a high dimensional covariate matrix, all encoding the same community structure among $n$ subjects. In the asymptotic regime where the number of features $p$…

Statistics Theory · Mathematics 2023-01-13 Zongming Ma , Sagnik Nandy

The problem of joint sequential detection and isolation is considered in the context of multiple, not necessarily independent, data streams. A multiple testing framework is proposed, where each hypothesis corresponds to a different subset…

Statistics Theory · Mathematics 2022-07-04 Anamitra Chaudhuri , Georgios Fellouris

We provide a complete asymptotic distribution theory for clustered data with a large number of independent groups, generalizing the classic laws of large numbers, uniform laws, central limit theory, and clustered covariance matrix…

Econometrics · Economics 2026-02-03 Bruce E. Hansen , Seojeong Lee

We investigate the unsupervised node classification problem on random hypergraphs under the non-uniform Hypergraph Stochastic Block Model (HSBM) with two equal-sized communities. In this model, edges appear independently with probabilities…

Statistics Theory · Mathematics 2025-12-01 Hai-Xiao Wang

This work presents a novel structured family of Grassmannian constellations for multiple-input multiple-output (MIMO) noncoherent communications over Rayleigh block-fading channels, where neither the transmitter nor the receiver has channel…

Signal Processing · Electrical Eng. & Systems 2025-10-20 Álvaro Pendás-Recondo , Enrique Pendás-Recondo