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We develop a maximum-likelihood based method for regression in a setting where the dependent variable is a random graph and covariates are available on a graph-level. The model generalizes the well-known $\beta$-model for random graphs by…

Methodology · Statistics 2017-05-24 Johan Wahlström , Isaac Skog , Patricio S. La Rosa , Peter Händel , Arye Nehorai

We investigate the consensus problem in a network where nodes communicate via diffusion-based molecular communication (DbMC). In DbMC, messages are conveyed via the variation in the concentration of molecules in the medium. Every node…

Information Theory · Computer Science 2011-03-03 Arash Einolghozati , Mohsen Sardari , Ahmad Beirami , Faramarz Fekri

Motivated by a greedy approach for generating {\it{information stable}} processes, we prove a universal maximum likelihood (ML) upper bound on the capacities of discrete information stable channels, including the binary erasure channel…

Information Theory · Computer Science 2018-05-21 Tongxin Li

This paper considers the problem of covert communication with mismatched decoding, in which a sender wishes to reliably communicate with a receiver whose decoder is fixed and possibly sub-optimal, and simultaneously to ensure that the…

Information Theory · Computer Science 2021-11-11 Qiaosheng Zhang , Vincent Y. F. Tan

This work presents a comprehensive performance analysis of diffusion based direct, dual-hop, and multi-hop molecular communication systems with Brownian motion and drift in the presence of various distortions such as inter-symbol…

Information Theory · Computer Science 2017-10-03 Neeraj Varshney , Adarsh Patel , Aditya K. Jagannatham , Pramod K. Varshney

Large data sets often require performing distributed statistical estimation, with a full data set split across multiple machines and limited communication between machines. To study such scenarios, we define and study some refinements of…

Information Theory · Computer Science 2014-06-24 John C. Duchi , Michael I. Jordan , Martin J. Wainwright , Yuchen Zhang

In this paper, tight upper and lower bounds are derived on the weighted sum of minimum mean-squared errors for additive Gaussian noise channels. The bounds are obtained by constraining the input distribution to be close to a Gaussian…

Information Theory · Computer Science 2020-01-23 Michael Fauß , Abdelhak M. Zoubir , Alex Dytso , H. Vincent Poor , K. G. Nagananda

A method has been developed for precision measurement of the gravitational frequency shift of communication radio signals between the spacecraft and the ground tracking station based on the maximum likelihood principle, using the Rao-Cramer…

General Relativity and Quantum Cosmology · Physics 2021-12-22 A. V. Belonenko , A. V. Gusev , V. N. Rudenko

The problem of astrometry is revisited from the perspective of analyzing the attainability of well-known performance limits (the Cramer-Rao bound) for the estimation of the relative position of light-emitting (usually point-like) sources on…

Instrumentation and Methods for Astrophysics · Physics 2018-09-05 Sebastian Espinosa , Jorge F. Silva , Rene A. Mendez , Rodrigo Lobos , Marcos Orchard

Biological cells are able to accurately sense chemicals with receptors at their surfaces, allowing cells to move towards sources of attractant and away from sources of repellent. The accuracy of sensing chemical concentration is ultimately…

Subcellular Processes · Quantitative Biology 2015-05-14 Robert G. Endres , Ned S. Wingreen

The Cram\'er-Rao bound (CRB), a well-known lower bound on the performance of any unbiased parameter estimator, has been used to study a wide variety of problems. However, to obtain the CRB, requires an analytical expression for the…

Machine Learning · Computer Science 2022-10-11 Hai Victor Habi , Hagit Messer , Yoram Bresler

Molecular communication is a biologically-inspired method of communication with attractive properties for microscale and nanoscale devices. In molecular communication, messages are transmitted by releasing a pattern of molecules at a…

Information Theory · Computer Science 2008-12-09 Andrew W. Eckford

In this paper, we consider a molecular diffusion based communications link that conveys information on the macro-scale (several metres). The motivation is to apply molecular-based communications to challenging electromagnetic environments.…

Networking and Internet Architecture · Computer Science 2016-11-18 Siyi Wang , Weisi Guo , Song Qiu , Mark D. McDonnell

Inspired by biological communication systems, molecular communication has been proposed as a viable scheme to communicate between nano-sized devices separated by a very short distance. Here, molecules are released by the transmitter into…

Biological Physics · Physics 2016-11-15 Sachin Kadloor , Raviraj S. Adve , Andrew W. Eckford

Complete awareness of the wireless environment, crucial for future intelligent networks, requires sensing all transmitted signals, not just the strongest. A fundamental barrier is estimating the target signal when it is buried under strong…

Signal Processing · Electrical Eng. & Systems 2026-03-17 Bowen Li , Junting Chen , Nikolaos Pappas

In diffusion based molecular communication, the intersymbol interference (ISI) is an important reason for system performance degradation, which is caused by the random movement, out-of-order arrival and indistinguishability of the…

Information Theory · Computer Science 2019-01-01 Hui Li , Qingchao Li

The performance of near-field sensing (NISE) in a legacy wideband multiple-input multiple-output (MIMO) orthogonal frequency-division multiplexing (OFDM) communication system is analyzed. The maximum likelihood estimates (MLE) for the…

Information Theory · Computer Science 2025-06-13 Zhaolin Wang , Xidong Mu , Yuanwei Liu

This paper studies the impact of a transmitter's molecule generation process on the capacity of a concentration based Molecular Communication (MC) system. Constraints caused by the molecule generation process affect the availability of the…

Information Theory · Computer Science 2018-02-27 Hamid G. Bafghi , Amin Gohari , Mahtab Mirmohseni , Masoumeh Nasiri-Kenari

Flow velocity is an important characteristic of the fluidic mediums. In this paper, we introduce a molecular based flow velocity meter consisting of a molecule releasing node and a receiver that counts these molecules. We consider both flow…

Information Theory · Computer Science 2021-01-12 Maryam Farahnak-Ghazani , Mahtab Mirmohseni , Masoumeh Nasiri-Kenari

This paper proposes a method for accurately estimating the relative position between two nodes with unknown locations in a diffusion-based molecular communication environment. A specialized node structure is designed, combining a central…

Signal Processing · Electrical Eng. & Systems 2025-09-10 Sangjun Hwang , Chan-Byoung Chae