American Institute of Mathematical Sciences

Call for Papers: special issue on “Theme Issue on kernel-based methods”

Kernel-based methods have been used for various purposes in many fields including density estimation and regression in statistics, support vector machines and learning kernels in machine learning, and mesh-free schemes in numerical analysis and uncertainty quantification. They play an essential role in finding filters and features in the recent development of deep learning and deep neural networks. The aim of this theme issue is to report recent research results on kernel-based methods, carry out interactions among researchers, discuss important research problems and directions, and promote kernel methods in various research areas.

Topics Covered

Potential topics appropriate for this special issue include, but not necessarily limited to:

Regularization schemes and deep learning
Multivariate approximation
Meshless methods
Kernel-based methods in data science, image and signal processing
Kernel-based function spaces and complexity
Kernel-based algorithms and computing

Important Dates

Submission deadline: November 30, 2019
Completion of peer reviews: February 28, 2020
Tentative publication date: May 2020

Submission Guidelines

Submitted papers will be peer-reviewed following the reviewing procedures of the journal Mathematical Foundations of Computing. They must provide original research that has not been published nor currently under review by other venues. Previously published conference papers should be clearly identified by the authors at the submission stage and an explanation should be provided about how such papers have been extended to be considered for this special issue. The submitted papers should follow the submission format and guidelines found at the journal webpage:
https://www.aimsciences.org/journal/A0000-0001

Guest Editors

Dr. Han Feng
City University of Hong Kong
Prof. Sergei Pereverzyev 
Austrian Academy of Sciences, Austria 
Prof. Ding-Xuan Zhou
City University of Hong Kong

2020 Breakethrough Prize in Math

Alex Eskin
University of Chicago

Citation: For revolutionary discoveries in the dynamics and geometry of moduli spaces of Abelian differentials, including the proof of the “magic wand theorem” with Maryam Mirzakhani.

Description: Eskin teamed with famed Iranian mathematician and Fields Medalist, Maryam Mirzakhni, to prove a theorem about dynamics on moduli spaces. Their tour de force, published in 2013 after five years of labor, is a result with many consequences. One addresses the longstanding problem: If a beam of light from a point source bounces around a mirrored room, will it eventually reach the entire room – or will some parts remain forever dark? After translating the problem to a highly abstract multi-dimensional setting, the two mathematicians were able to show that for polygonal rooms with angles which are fractions of whole numbers, only a finite number of points would remain unlit. Mirzakhani passed away in 2017 at age 40 after fighting breast cancer for several years.

AIMS launches the new journal Foundations of Data Science, which aims to proactively shape the emerging field that seems to be spreading across essentially all others. The scope of the journal spans Mathematics, Statistics, Computer Science, and applications in Science and Engineering. The journal is accepting submissions now! Furthermore, if you would like to propose a special issue topic, please contact the Editors-in-Chief.

Special Issue of the Journal of Computational Dynamics on
"Novel computational approaches and their applications"

edited by:
Bernd Krauskopf (University of Auckland, NZ) <b.krauskopf@auckland.ac.nz>
Carlo Laing (Massey University Albany, NZ) <C.R.Laing@massey.ac.nz>

Congratulations to AIMS editor Houman Owhadi for winning the 2019 Germund Dahlquist Prize for his contributions to numerical solution of differential equations and numerical methods for scientific computing. Houman Owhadi serves on the Editorial Board for the AIMS Journal of Computational Dynamics: https://aimsciences.org/journal/2158-2491.

The Plenary Speakers for the 13^th AIMS Conference on Dynamical Systems, Differential Equations and Applications will be:

 

Arnaud Debussche (France)       

Manuel del Pino (UK)    

Song Jiang (China)          

Carlos Kenig (USA)         

Bryna Kra (USA)

Camillo De Lellis (USA)  

Rafael de la Llave (USA)

Carola Schoenlieb (UK) 

Gigliola Staffilani (USA) 

Xiaoyun Wang (China)

 

We hope you can come to see these distinguished mathematicians speak. More information on the conference can be found at http://aimsciences.org/conferences/2020/index.html.

We are proud to count many accomplished mathematicians among those who have published papers with AIMS, one of whom is Terence Tao, a Professor at UCLA and Fields Medal winner. To highlight this distinguished author, we are offering open access to his paper “On the universality of the incompressible Euler equation on compact manifolds.” Click on his name below to see other papers he has published with AIMS.

Terence Tao, On the universality of the incompressible Euler equation on compact manifolds, Discrete & Continuous Dynamical Systems – A, 38 (2018), 1553—1565. doi:10.3934/dcds.2018064

Condolences on the passing of Jean Bourgain, a Fields Medalist and an editor of DCDS (2006-2009), on December 22, 2018.  Professor Jean Bourgain was a giant in the field of mathematics. In many instances, he provided foundations for entirely new areas of study, and in other instances he gave mathematics new tools and techniques.  He received many important awards, including the Fields Medal in 1994. We are grateful for his service as an editor of DCDS, 2006-2009.

AIMS joins the math community worldwide in congratulating Professor Alessio Figalli on being awarded the Fields Medal 2018. Professor Figalli has made important contributions to AIMS journals and conferences. He served as the Managing Editor of Discrete and Continuous Dynamical Systems from 2012 to 2016 and delivered a plenary lecture at the 11th AIMS conference (2016) in Orlando, USA. Details can be found at  

http://aimsciences.org/conferences/2016/2016_speakers.html

Congratulations, Alessio!

The AIMS Conference in 2020 will take place in Atlanta, June 5-9. 

The 12^th AIMS Conference was concluded in Taipei on July 9, 2018, with over 1,600 participants and 130 special sessions.

Mathematical Biosciences & Engineering, a multi-disciplinary journal, will be fully Open Access from 2019

A new and expanded 2nd edition of the book “Modelling Disease Ecology with Mathematics” by Robert Smith? is in print now. Click here for more details on this new edition.

Since the Journal of Modern Dynamics has been in existence, every cohort of Fields medalists has included JMD authors. To celebrate this distinction, AIMS is making their JMD articles openly available:

Artur Avila (Fields medal 2014) and Thomas Roblin, Uniform exponential growth for some SL(2, R) matrix products, Journal of Modern Dynamics, 3 (2009), 549-554. doi:10.3934/jmd.2009.3.549
Artur Avila, Density of positive Lyapunov exponents for quasiperiodic SL(2, R)-cocycles in arbitrary dimension, Journal of Modern Dynamics, 3 (2009), 631-636. doi:10.3934/jmd.2009.3.631
Manfred Einsiedler and Elon Lindenstrauss (Fields medal 2010): On measures invariant under diagonalizable actions: the Rank-One case and the general Low-Entropy method, Journal of Modern Dynamics, 2 (2008), 83-128. doi:10.3934/jmd.2008.2.83
Alex Eskin and Maryam Mirzakhani (Fields medal 2014), Counting closed geodesics in moduli space, Journal of Modern Dynamics, 5 (2011), 71-105. doi:10.3934/jmd.2011.5.71

Artur Avila was also the 2011 winner of the Brin Prize in Dynamical systems, and the articles describing his award-winning work are openly available as well:

The Editors, The 2011 Michael Brin Prize in Dynamical Systems, Journal of Modern Dynamics, 6 (2012), i-ii. doi:10.3934/jmd.2012.6.2i
Giovanni Forni, On the Brin Prize work of Artur Avila in Teichmuller dynamics and interval-exchange transformations, Journal of Modern Dynamics, 6 (2012), 139-182. doi:10.3934/jmd.2012.6.139
Mikhail Lyubich, Forty years of unimodal dynamics: On the occasion of Artur Avila winning the Brin Prize, Journal of Modern Dynamics, 6 (2012), 183-203. doi:10.3934/jmd.2012.6.183