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This chapter is based on lectures on Randomized Numerical Linear Algebra from the 2016 Park City Mathematics Institute summer school on The Mathematics of Data.

Data Structures and Algorithms · Computer Science 2017-12-27 Petros Drineas , Michael W. Mahoney

This review was written for the Encyclopedia of Complexity and System Science (Springer-Verlag, Berlin, 2008), and is intended as a guide to the growing literature which approaches the phenomena of cell biology from a more theoretical point…

Molecular Networks · Quantitative Biology 2007-12-31 Gasper Tkacik , William Bialek

We introduce a new kind of Information Theory. From a finite number of local, noisy comparisons, we want to design a robust filter such that the outcome is a high ranking number, Both analytical and numerical results are encouraging and we…

Disordered Systems and Neural Networks · Physics 2009-11-07 A. Capocci , F. Slanina , Y. -C. Zhang

This is a lecture note for the course DS-GA 3001 <Natural Language Understanding with Distributed Representation> at the Center for Data Science , New York University in Fall, 2015. As the name of the course suggests, this lecture note…

Computation and Language · Computer Science 2015-11-26 Kyunghyun Cho

The power of any kind of network approach lies in the ability to simplify a complex system so that one can better understand its function as a whole. Sometimes it is beneficial, however, to include more information than in a simple graph of…

Physics and Society · Physics 2015-09-21 Petter Holme

These lecture notes develop the theory of learning in deep and recurrent neuronal networks from the point of view of Bayesian inference. The aim is to enable the reader to understand typical computations found in the literature in this…

Disordered Systems and Neural Networks · Physics 2026-02-16 Moritz Helias , Javed Lindner , Lars Schutzeichel , Zohar Ringel

Tensor network (TN), a young mathematical tool of high vitality and great potential, has been undergoing extremely rapid developments in the last two decades, gaining tremendous success in condensed matter physics, atomic physics, quantum…

Computational Physics · Physics 2020-01-31 Shi-Ju Ran , Emanuele Tirrito , Cheng Peng , Xi Chen , Luca Tagliacozzo , Gang Su , Maciej Lewenstein

Complex network theory is being widely used to study many real-life systems. One of the fields that can benefit from complex network theory approach is transportation network. In this paper, we briefly review the complex network theory…

Physics and Society · Physics 2023-08-10 Nur Umaisara Rashid , Kar Tim Chan

This manuscript provides a short and practical introduction to the topic of language networks. This text aims at assisting researchers with no practical experience in text and/or network analysis. We provide a practical tutorial on how to…

Computation and Language · Computer Science 2020-10-15 Jorge A. V. Tohalino , Diego R. Amancio

The primary aim of this study in this paper aside from presenting student preference survey data and analytics data with relation to learning videos, is to address the attention span issues with our cohort of Information Technology students…

Computers and Society · Computer Science 2019-09-09 Nick Patterson , Rolando Trujillo Rasua , Michael Hobbs , Guy Wood-Bradley , Judy Currey , Elicia Lanham

Co-authorship in publications within a discipline uncovers interesting properties of the analysed field. We represent collaboration in academic papers of computer science in terms of differently grained networks, including those…

Social and Information Networks · Computer Science 2015-03-17 Massimo Franceschet

Future Information Retrieval, especially in connection with the internet, will incorporate the content descriptions that are generated with social network extraction technologies and preferably incorporate the probability theory for…

Information Retrieval · Computer Science 2012-07-17 Mahyuddin K. M. Nasution , Shahrul Azman Noah

This book covers static and dynamic traffic assignment models used in transportation planning and network analysis. Traffic assignment is the final step in the traditional planning process, and recent decades have seen many advances in…

Optimization and Control · Mathematics 2025-02-11 Stephen D. Boyles , Nicholas E. Lownes , Avinash Unnikrishnan

These are exciting times for quantum physics as new quantum technologies are expected to soon transform computing at an unprecedented level. Simultaneously network science is flourishing proving an ideal mathematical and computational…

Quantum Physics · Physics 2024-06-13 Johannes Nokkala , Jyrki Piilo , Ginestra Bianconi

This is a chapter of the forthcoming Oxford Handbook on the Economics of Networks.

Physics and Society · Physics 2015-05-26 Paolo Pin , Brian Rogers

Many biological phenomena or social events critically depend on how information evolves in complex networks. However, a general theory to characterize information evolution is yet absent. Consequently, numerous unknowns remain about the…

Biological Physics · Physics 2022-07-20 Yang Tian , Guoqi Li , Pei Sun

Network reconstruction is a well-developed sub-field of network science, but it has only recently been applied to production networks, where nodes are firms and edges represent customer-supplier relationships. We review the literature that…

General Economics · Economics 2024-09-20 Luca Mungo , Alexandra Brintrup , Diego Garlaschelli , François Lafond

This text is a slightly edited version of lecture notes for a course I gave at ETH, during the Summer term 2001, to undergraduate Mathematics and Physics students. It covers a few selected topics from perturbation theory at an introductory…

History and Overview · Mathematics 2007-05-23 Nils Berglund

The study of temporal networks is motivated by the simple and important observation that just as network structure can affect dynamics, so can structure in time. Just as network topology can teach us about the system in question, so can its…

Physics and Society · Physics 2021-03-26 Petter Holme , Jari Saramäki

Several technologies are emerging that provide new ways to capture, store, present and use knowledge. This book is the first to provide a comprehensive introduction to five of the most important of these technologies: Knowledge Engineering,…

Computers and Society · Computer Science 2008-02-27 Nick Milton