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Understanding the learning dynamics of neural networks is one of the key issues for the improvement of optimization algorithms as well as for the theoretical comprehension of why deep neural nets work so well today. In this paper, we…

Machine Learning · Statistics 2021-03-18 Zhenyu Liao , Romain Couillet

Working notes on setting up approximate dynamical systems and nonlinear eigenvalue problems, here embedded within the theory of complex nonlinear dynamics. Computations parallel those of linear quantum theory except that we use functional…

Dynamical Systems · Mathematics 2013-12-24 K. R. W. Jones

This paper is based on a course given by the author at the University of Rome ``La Sapienza'' in the Academic year 2000/2001. The intended aim of the course was to rapidly introduce, although not in an exhaustive way, the non-expert PhD…

Algebraic Geometry · Mathematics 2007-05-23 Marco Manetti

The lectures examine several problems related to non-equilibrium fluctuations of interfaces and flux lines. The first two introduce the phenomenology of depinning, with particular emphasis on interfaces and contact lines. The role of the…

Statistical Mechanics · Physics 2015-06-25 Mehran Kardar

These are lecture notes for a simple minicourse approaching the satistical properties of a dynamical system by the study of the associated transfer operator (considered on a suitable functions or measures spaces). The following questions…

Dynamical Systems · Mathematics 2022-11-15 Stefano Galatolo

These notes are based on lectures given in Wuhan (China) in July 2007. Their aim is to provide an introduction to Langlands philosophy.

Representation Theory · Mathematics 2007-09-19 G. Lusztig

I review the studies, which were reported after the last Linear Collider Workshop, on top quark physics and QCD physics at a future e+e- linear collider.

High Energy Physics - Phenomenology · Physics 2007-05-23 Y. Sumino

The purpose of this short note is to collect a set of formulas pertaining to momentum kinematics for higher spin light-front vertices. At least one of the formulas seems to be previously unknown.

General Physics · Physics 2016-04-08 Anders K. H. Bengtsson

These are lecture notes of the course in infinity categories given in the fall 2016 at Weizmann Institute.

Category Theory · Mathematics 2018-11-06 Vladimir Hinich

We begin herewith the editing of physics notes taken in the course of Journal Club seminars at INFN-LNF in 1996. The activity consists of informal talks about work in progress and/or review of (more or less) recent physics results of…

High Energy Physics - Phenomenology · Physics 2007-05-23 S. Bellucci

Contact Hamiltonian dynamics is a subject that has still a short history, but with relevant applications in many areas: thermodynamics, cosmology, control theory, and neurogeometry, among others. In recent years there has been a great…

Mathematical Physics · Physics 2021-02-23 Manuel de León , Manuel Lainz

The mini-proceedings of the Light Meson Dynamics Workshop held in Mainz from February 10th to 12th, 2014, are presented. The web page of the conference, which contains all talks, can be found at https://indico.cern.ch/event/287442/overview…

There has been much recent progress in forecasting the next observation of a linear dynamical system (LDS), which is known as the improper learning, as well as in the estimation of its system matrices, which is known as the proper learning…

Optimization and Control · Mathematics 2024-02-28 Quan Zhou , Jakub Marecek

Recurrent neural networks (RNNs) are capable of learning features and long term dependencies from sequential and time-series data. The RNNs have a stack of non-linear units where at least one connection between units forms a directed cycle.…

Neural and Evolutionary Computing · Computer Science 2018-02-26 Hojjat Salehinejad , Sharan Sankar , Joseph Barfett , Errol Colak , Shahrokh Valaee

This talk reviews recent progress in formulating the dynamics of Kaon Physics, within the framework of the 1/Nc-expansion in QCD.

High Energy Physics - Phenomenology · Physics 2007-05-23 Eduardo de Rafael

These notes are based on some lectures that the author gave at the University of Campinas - UNICAMP. The notes are in Portuguese, and deal with some methods of mathematics applied to Fluid Mechanics.

Fluid Dynamics · Physics 2017-11-07 Erick de Moraes Franklin

One of the most severe limitations in particle accelerators and beam transport are non-linear effects. Techniques to study and possibly suppress some of these detrimental effects exist, the most popular are based on particle tracking and…

Accelerator Physics · Physics 2020-06-17 Werner Herr

A basic introduction to transverse and longitudinal beam dynamics as well as the most relevant beam loss mechanisms in circular machines will be presented in this lecture. This lecture is intended for physicists and engineers with little or…

Accelerator Physics · Physics 2016-08-09 V. Kain

038<p type="texpara" tag="Body Text" >The identification theory and realization of the dynamic systems is a medullary aspect in the modern control theory that consists fundamentally in that, starting from the knowledge of the behavior…

General Mathematics · Mathematics 2007-05-23 Rosina Hing , Gloria Nunez , Diosdado Villegas

Lecture notes of a short course on geometric control theory given in Brasov, Romania (August 2018) and in Jyv\"askyl\"a, Finland (February 2019).

Optimization and Control · Mathematics 2021-04-22 Yuri Sachkov