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This work focuses on the generic identifiability of dynamical networks with partial excitation and measurement: a set of nodes are interconnected by transfer functions according to a known topology, some nodes are excited, some are…

Optimization and Control · Mathematics 2023-09-27 Antoine Legat , Julien M. Hendrickx

Much recent research has dealt with the identifiability of a dynamical network in which the node signals are connected by causal linear transfer functions and are excited by known external excitation signals and/or unknown noise signals. A…

Optimization and Control · Mathematics 2018-03-18 Julien M. Hendrickx , Michel Gevers , Alexandre S. Bazanella

We report about the state of the art on complex and real generic identifiability of tensors, we describe some of our recent results obtained in [6] and we present perspectives on the subject.

Algebraic Geometry · Mathematics 2018-11-06 Elena Angelini

This document is an internet supplement to my book "Partially Observed Markov Decision Processes - From Filtering to Controlled Sensing" published by Cambridge University Press in 2016. This internet supplement contains exercises, examples…

Optimization and Control · Mathematics 2016-04-28 Vikram Krishnamurthy

In this paper, we first present simple proofs of Choi's results [4], then we give a short alternative proof for Fiedler and Markham's inequality [6]. We also obtain additional matrix inequalities related to partial determinants.

Functional Analysis · Mathematics 2020-03-16 Yongtao Li , Lihua Feng , Zheng Huang , Weijun Liu

Comment: Monitoring Networked Applications With Incremental Quantile Estimation [arXiv:0708.0302]

Methodology · Statistics 2009-09-29 Bin Yu

Comment: Monitoring Networked Applications With Incremental Quantile Estimation [arXiv:0708.0302]

Methodology · Statistics 2009-09-29 Lorraine Denby , James M. Landwehr , Jean Meloche

We formulate learning guided Automated Theorem Proving as Partial Label Learning, building the first bridge across these fields of research and providing a theoretical framework for dealing with alternative proofs during learning. We use…

Logic in Computer Science · Computer Science 2025-07-08 Zsolt Zombori , Balázs Indruck

Exploiting recent developments in information theory, we propose, illustrate, and validate a principled information-theoretic algorithm for module discovery and resulting measure of network modularity. This measure is an order parameter (a…

Quantitative Methods · Quantitative Biology 2009-11-10 Etay Ziv , Manuel Middendorf , Chris Wiggins

This paper deals with dynamical networks for which the relations between node signals are described by proper transfer functions and external signals can influence each of the node signals. In particular, we are interested in…

Optimization and Control · Mathematics 2018-07-24 Henk J. van Waarde , Pietro Tesi , M. Kanat Camlibel

We introduce a model of polarization in networks as a unifying framework for the measurement of polarization that covers a wide range of applications. We consider a sufficiently general setup for this purpose: node- and edge-weighted,…

Theoretical Economics · Economics 2021-01-05 Kenan Huremovic , Ali Ozkes

In this paper, we take a unified approach for network information theory and prove a coding theorem, which can recover most of the achievability results in network information theory that are based on random coding. The final single-letter…

Information Theory · Computer Science 2015-05-22 Si-Hyeon Lee , Sae-Young Chung

Rejoinder: Monitoring Networked Applications With Incremental Quantile Estimation [arXiv:0708.0302]

Methodology · Statistics 2007-08-03 John M. Chambers , David A. James , Diane Lambert , Scott Vander Wiel

We present a versatile automated theorem proving framework capable of automated discovery, simplification and proofs of inner and outer bounds in network information theory, deduction of properties of information-theoretic quantities (e.g.…

Information Theory · Computer Science 2022-07-13 Cheuk Ting Li

This is a short note that formally presents the matching model for the theoretical study of self-adjusting networks as initially proposed in [1].

Networking and Internet Architecture · Computer Science 2020-06-22 Chen Avin , Chen Griner , Iosif Salem , Stefan Schmid

This technical report contains the proofs to the lemmata and theorems of [PN12] as well as some additional material. As main contributions [PN12] presents an encoding of mixed choice in the context of the pi-calculus and a criterion to…

Logic in Computer Science · Computer Science 2012-01-09 Kirstin Peters , Uwe Nestmann

This work examines the problem of graph learning over a diffusion network when data can be collected from a limited portion of the network (partial observability). The main question is to establish technical guarantees of consistent…

Statistics Theory · Mathematics 2020-06-08 Vincenzo Matta , Augusto Santos , Ali H. Sayed

Yang, Wang, and Motter [Phys. Rev. Lett. 109, 258701 (2012)] analyzed a model for network observability transitions in which a sensor placed on a node makes the node and the adjacent nodes observable. The size of the connected components…

Physics and Society · Physics 2013-10-17 Takehisa Hasegawa , Taro Takaguchi , Naoki Masuda

Network tomography, a classic research problem in the realm of network monitoring, refers to the methodology of inferring unmeasured network attributes using selected end-to-end path measurements. In the research community, network…

Networking and Internet Architecture · Computer Science 2020-01-10 Liang Ma , Ziyao Zhang , Mudhakar Srivatsa

This is about the paper by Thawhat Changphas and Nawamin Phaipong in Quasigroups and Related Systems 22 (2014), 193--200.

General Mathematics · Mathematics 2015-10-09 Niovi Kehayopulu