This research area covers mathematics and computational methods in data science that includes machine learning and data mining, intertwined with other key areas such as statistics, computer science, network science, and signal processing - all within the context of data science as well as applications of mathematical methods in data/information processing to science and engineering problems.

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Research Area Announcements

Data Science Book Series

Did you know – SIAM recently launched a new Data Science Book Series! Data science is a forward-looking field and is seeing tremendous energy and growth. Have book ideas? We want to hear about them.

By Nicolas Keriven SIAM Journal on Mathematics of Data Science, Volume 5, Issue 4, Page 1028-1050, December 2023. Abstract. In graph analysis, a classic task consists of computing similarity measures between (groups...

Following SIAM’s recent elections, we are excited to introduce our President-Elect, Vice President-at-Large, Secretary, and Board of Trustees members and Council, as elected by the SIAM membership. ...

At the core of SIAM's existence is a dedication to advancing the application of mathematics and computational science. Since its inception in 1952, SIAM has remained committed to fostering the ...

By Eldad Haber, Moshe Eliasof, and Luis Tenorio SIAM Journal on Mathematics of Data Science, Volume 5, Issue 4, Page 1005-1027, December 2023. Abstract.Estimating a Gibbs density function given a sample is an important problem in computational...

By Nikhil Ghosh and Mikhail Belkin SIAM Journal on Mathematics of Data Science, Volume 5, Issue 4, Page 977-1004, December 2023. Abstract. In this work we establish an algorithm and distribution independent nonasymptotic trade-off between...

By David Aristoff and Wolfgang Bangerth SIAM Review, Volume 65, Issue 4, Page 1074-1105, November 2023. Bayesian methods have been widely used in the last two decades to infer statistical properties of spatially variable coefficients...

By Ludovic Chamoin and Frédéric Legoll SIAM Review, Volume 65, Issue 4, Page 963-1028, November 2023. This article is a review of basic concepts and tools devoted to a posteriori error estimation for problems solved...

By Rodrigo M. Pereira, Natacha Nguyen van yen, Kai Schneider, and Marie Farge SIAM Review, Volume 65, Issue 4, Page 1109-1134, November 2023. Adaptive Galerkin numerical schemes integrate time-dependent partial differential equations with a finite number of basis functions, and a subset...

By Volker H. Schulz SIAM Review, Volume 65, Issue 4, Page 1187-1197, November 2023. Our section starts with the featured review of Glenn Ledder's book Mathematical Modeling for Epidemiology and Ecology. This review...

By Hèléne Frankowska SIAM Review, Volume 65, Issue 4, Page 1135-1135, November 2023. In this issue the Education section presents three contributions. The first paper “The Reflection Method for the Numerical...

By Kailiang Wu and Chi-Wang Shu SIAM Review, Volume 65, Issue 4, Page 1031-1073, November 2023. Solutions to many partial differential equations satisfy certain bounds or constraints. For example, the density and pressure are positive...

By Richard C. Tillquist, Rafael M. Frongillo, and Manuel E. Lladser SIAM Review, Volume 65, Issue 4, Page 919-962, November 2023. The metric dimension of a graph is the smallest number of nodes required to identify all other nodes uniquely...

By Nicolas Keriven SIAM Journal on Mathematics of Data Science, Volume 5, Issue 4, Page 1028-1050, December 2023. Abstract. In graph analysis, a classic task consists of computing similarity measures between (groups...

By Eldad Haber, Moshe Eliasof, and Luis Tenorio SIAM Journal on Mathematics of Data Science, Volume 5, Issue 4, Page 1005-1027, December 2023. Abstract.Estimating a Gibbs density function given a sample is an important problem in computational...

By Nikhil Ghosh and Mikhail Belkin SIAM Journal on Mathematics of Data Science, Volume 5, Issue 4, Page 977-1004, December 2023. Abstract. In this work we establish an algorithm and distribution independent nonasymptotic trade-off between...

By David Aristoff and Wolfgang Bangerth SIAM Review, Volume 65, Issue 4, Page 1074-1105, November 2023. Bayesian methods have been widely used in the last two decades to infer statistical properties of spatially variable coefficients...

By Ludovic Chamoin and Frédéric Legoll SIAM Review, Volume 65, Issue 4, Page 963-1028, November 2023. This article is a review of basic concepts and tools devoted to a posteriori error estimation for problems solved...

By Rodrigo M. Pereira, Natacha Nguyen van yen, Kai Schneider, and Marie Farge SIAM Review, Volume 65, Issue 4, Page 1109-1134, November 2023. Adaptive Galerkin numerical schemes integrate time-dependent partial differential equations with a finite number of basis functions, and a subset...

By Volker H. Schulz SIAM Review, Volume 65, Issue 4, Page 1187-1197, November 2023. Our section starts with the featured review of Glenn Ledder's book Mathematical Modeling for Epidemiology and Ecology. This review...

By Hèléne Frankowska SIAM Review, Volume 65, Issue 4, Page 1135-1135, November 2023. In this issue the Education section presents three contributions. The first paper “The Reflection Method for the Numerical...

By Kailiang Wu and Chi-Wang Shu SIAM Review, Volume 65, Issue 4, Page 1031-1073, November 2023. Solutions to many partial differential equations satisfy certain bounds or constraints. For example, the density and pressure are positive...

By Richard C. Tillquist, Rafael M. Frongillo, and Manuel E. Lladser SIAM Review, Volume 65, Issue 4, Page 919-962, November 2023. The metric dimension of a graph is the smallest number of nodes required to identify all other nodes uniquely...

By Amenda N. Chow, Kirsten A. Morris, and Gina F. Rabbah SIAM Review, Volume 65, Issue 4, Page 1171-1184, November 2023. A common definition of hysteresis is that the graph of the state of the system displays looping behavior...

By Mark Jayson Cortez, Alan Eric Akil, Krešimir Josić, and Alexander J. Stewart SIAM Review, Volume 65, Issue 4, Page 1152-1170, November 2023. Quantitative methods and mathematical modeling are playing an increasingly important role across disciplines. As a result, interdisciplinary mathematics courses...

By Stefan M. Wild SIAM Review, Volume 65, Issue 4, Page 1029-1029, November 2023. This issue's two Research Spotlights highlight techniques for obtaining ever more realistic solutions to challenging systems of partial differential...

By The Editors SIAM Review, Volume 65, Issue 4, Page 1107-1107, November 2023. The SIGEST article in this issue is “Are Adaptive Galerkin Schemes Dissipative?” by Rodrigo M. Pereira, Natacha Nguyen van...

By Marlis Hochbruck SIAM Review, Volume 65, Issue 4, Page 917-917, November 2023. The metric dimension $\beta(G)$ of a graph $G = (V,E)$ is the smallest cardinality of a subset $S$ of...

By Margherita Guida and Carlo Sbordone SIAM Review, Volume 65, Issue 4, Page 1137-1151, November 2023. We present Cimmino's reflection algorithm for the numerical solution of linear systems, which starts with an arbitrary point in...

By Yihang Gao, Michael K. Ng, and Mingjie Zhou SIAM Journal on Mathematics of Data Science, Volume 5, Issue 4, Page 949-976, December 2023. Abstract. Studied here are Wasserstein generative adversarial networks (WGANs) with GroupSort neural networks as...

By Ramchandran Muthukumar and Jeremias Sulam SIAM Journal on Mathematics of Data Science, Volume 5, Issue 4, Page 920-948, December 2023. Abstract. This work studies the adversarial robustness of parametric functions composed of a linear...

By Gero Friesecke and Maximilian Penka SIAM Journal on Mathematics of Data Science, Volume 5, Issue 4, Page 899-919, December 2023. Abstract. We extend the recently introduced genetic column generation algorithm for high-dimensional multimarginal optimal...

By Michael Perlmutter, Alexander Tong, Feng Gao, Guy Wolf, and Matthew Hirn SIAM Journal on Mathematics of Data Science, Volume 5, Issue 4, Page 873-898, December 2023. Abstract. The scattering transform is a multilayered wavelet-based architecture that acts as a model...

By Daniel Beaglehole, Mikhail Belkin, and Parthe Pandit SIAM Journal on Mathematics of Data Science, Volume 5, Issue 4, Page 854-872, December 2023. Abstract. “Benign overfitting,” the ability of certain algorithms to interpolate noisy training data and...

By Brent Sprangers and Nick Vannieuwenhoven SIAM Journal on Mathematics of Data Science, Volume 5, Issue 4, Page 829-853, December 2023. Abstract. Invariance has recently proven to be a powerful inductive bias in machine learning...

By Henri Riihimäki SIAM Journal on Mathematics of Data Science, Volume 5, Issue 3, Page 800-828, September 2023. Abstract. Directed graphs are ubiquitous models for networks, and topological spaces they generate, such...

By Kiryung Lee and Dominik Stöger SIAM Journal on Mathematics of Data Science, Volume 5, Issue 3, Page 774-799, September 2023. Abstract. We consider the problem of reconstructing rank-1 matrices from random linear measurements, a...

By Bora Yongacoglu, Gürdal Arslan, and Serdar Yüksel SIAM Journal on Mathematics of Data Science, Volume 5, Issue 3, Page 745-773, September 2023. Abstract. In multiagent reinforcement learning, independent learners are those that do not observe the...

By Liwei Jiang, Yudong Chen, and Lijun Ding SIAM Journal on Mathematics of Data Science, Volume 5, Issue 3, Page 723-744, September 2023. Abstract. We study the asymmetric matrix factorization problem under a natural nonconvex formulation with...

By Jie Jiang and Xiaojun Chen SIAM Journal on Mathematics of Data Science, Volume 5, Issue 3, Page 693-722, September 2023. Abstract. This paper considers a class of nonsmooth nonconvex-nonconcave min-max problems in machine learning...

By Andreas Habring and Martin Holler SIAM Journal on Mathematics of Data Science, Volume 5, Issue 3, Page 670-692, September 2023. Abstract. The regularity of images generated by a class of convolutional neural networks, such...

By Eustasio del Barrio, Alberto González Sanz, Jean-Michel Loubes, and Jonathan Niles-Weed SIAM Journal on Mathematics of Data Science, Volume 5, Issue 3, Page 639-669, September 2023. Abstract. We prove a central limit theorem for the entropic transportation cost between subgaussian...

By Erhan Bayraktar and Ali Devran Kara SIAM Journal on Mathematics of Data Science, Volume 5, Issue 3, Page 615-638, September 2023. Abstract. We study a Q learning algorithm for continuous time stochastic control problems. The...

By Boris Landa and Xiuyuan Cheng SIAM Journal on Mathematics of Data Science, Volume 5, Issue 3, Page 589-614, September 2023. Abstract. The Gaussian kernel and its traditional normalizations (e.g., row-stochastic) are popular approaches for...

Following SIAM’s recent elections, we are excited to introduce our President-Elect, Vice President-at-Large, Secretary, and Board of Trustees members and Council, as elected by the SIAM membership. ...

At the core of SIAM's existence is a dedication to advancing the application of mathematics and computational science. Since its inception in 1952, SIAM has remained committed to fostering the ...

By Alicia Klinvex and Tamara Kolda
Scheduling large conferences—such as the 2023 SIAM Conference on Computational Science and Engineering (CSE23) , which was held earlier this year in ...

By Nate Veldt
In graph theory, “cuts” are sets of edges whose removal partitions a graph into disconnected clusters. One of the most fundamental cut problems is finding a minimum ...

By Busayamas Pimpunchat
The automobile industry’s rapid and continuous growth has intensified the need for efficient car classification and damage detection systems. For instance, car ...

By Jillian Kunze
Exciting new opportunities in machine learning and data science are drawing a large number of applied mathematicians and computational scientists to industry. In August 2023, ...

By Jason J. Bramburger
Graphs and networks are omnipresent in modern science. In their simplest form, graphs consist of three components: (i) A set of vertices, (ii) a set of edges that ...

Society for Industrial and Applied Mathematics (SIAM) is pleased to announce the three recipients of the SIAM Postdoctoral Support Program , the first set of awardees in this newly-established ...

The SIAM Student Paper Prize is awarded annually to the student author(s) of the most outstanding paper(s) accepted by SIAM journals within the three years preceding the nomination deadline. Starting with the 2018 award, the focus of the prize is to recognize outstanding scholarship by students in SIAM journals.

This prize was created in 2013 to emphasize George Pólya’s legacy of communicating mathematics effectively. It joins two long-standing Pólya prizes SIAM has awarded in combinatorics and other fields beginning in 1969.

This joint prize was established in 2002 to honor Sonia Kovalevsky and her work on the theory of differential equations. It is awarded to anyone in the scientific or engineering community whose work highlights the achievements of women in applied and computational mathematics. Nominations can be submitted via the AWM website.

The prize was established in 1986 in memory of Richard C. DiPrima, who served SIAM for many years and in 1979–1980 as SIAM President. It aims to recognize an early career researcher in applied mathematics and is based on the doctoral dissertation.

Established in 2021, the prize is awarded to an outstanding senior researcher who has made broad and influential contributions to the Mathematical, Statistical or Computational foundations of Data Science. The prize recognizes a research career in the Mathematics of Data Science at the highest level of achievement.

Established in 2021, the prize is awarded to an outstanding early career researcher in the Mathematics of Data Science, for distinguished contributions to the field in the six calendar years prior to the year of the award.

The Pioneer Prize is awarded every four years at the International Council for Industrial and Applied Mathematics (ICIAM) Congress to one individual for pioneering work introducing applied mathematical methods and scientific computing techniques to an industrial problem area or a new scientific field of applications. Nominations can be submitted via the ICIAM website.

Through the generosity and inspiration of Gerald and Judith Porter, the Mathematical Association of America (MAA), American Mathematical Society (AMS), and SIAM offer this annual lecture at the Joint Mathematics Meetings. The lecture, first awarded in 2010, is given on a mathematical topic accessible to the broader community.

Named in honor of I. E. Block, a co-founder and the first managing director of SIAM, this lecture is open to the public at the SIAM Annual Meeting. It is intended to encourage public appreciation of applied mathematics and computational science by reaching out to the local community.

Established in 1959, the prize honors John von Neumann, a founder of modern computing. The prize is awarded annually for distinguished contributions to applied mathematics and for the effective communication of these ideas to the community.

The JPBM Communications Award is given annually to reward and encourage communicators who, on a sustained basis, bring mathematical ideas and information to non-mathematical audiences. The prize may be awarded in two categories: For Public Outreach and For Expository and Popular Books. Nominations can be submitted via the AMS website.

The MAA-SIAM-AMS Hrabowski-Gates-Tapia-McBay (HGTM) Lecture is named after four influential scientists of color: Freeman Hrabowski, President of the University of Maryland at Baltimore County; James S. Gates, University of Maryland, College Park; Richard Tapia, Rice University; and Shirley McBay, Founder and former President of Quality Education for Minorities. This lecture started in 2016 as an activity of the Mathematical Association of America’s Committee on Minority Participation and became a jointly sponsored MAA-SIAM-AMS event in 2018.

The prize recognizes students for outstanding solutions to real world math problems. It is awarded to six of the teams judged "Outstanding" in the Mathematical Contest in Modeling (MCM) administered annually by the Consortium for Mathematics and Its Applications (COMAP). Registration is accepted via the COMAP website.

The SIAM Outstanding Paper Prize is not currently active. For the 20 years before it was discontinued in 2019, the SIAM Outstanding Paper Prizes brought attention to papers published in SIAM journals. Three awards were made each year to the authors of papers deemed by SIAM journal editors-in-chief worthy of particular attention.

The prize, established in 1985 and originally intended to be awarded periodically, is now awarded annually for contributions to the advancement of applied mathematics on the national or international level.

The purpose of this activity group is to advance the mathematics of data science, to highlight the importance and benefits of data science, and to identify and explore the connections between data science and other applied sciences.

SIAM Journal on Mathematics of Data Science (SIMODS) publishes work that advances mathematical, statistical, and computational methods in the context of data and information sciences. We invite papers that present significant advances in this context, including applications to science, engineering, business, and medicine.

Multiscale Modeling & Simulation
SIAM J. on Applied Algebra and Geometry
SIAM J. on Applied Dynamical Systems
SIAM J. on Applied Mathematics
SIAM J. on Computing
SIAM J. on Control and Optimization
SIAM J. on Discrete Mathematics
SIAM J. on Financial Mathematics
SIAM J. on Imaging Sciences
SIAM J. on Mathematical Analysis
SIAM J. on Matrix Analysis and Applications
SIAM J. on Numerical Analysis
SIAM J. on Optimization
SIAM J. on Scientific Computing
SIAM/ASA J. on Uncertainty Quantification
SIAM Review
Theory of Probability & Its Applications

General Opportunities

We know it can be overwhelming to keep track of career opportunities that may be relevant to you as a member of the SIAM community. So, we’ve compiled lists of some of our favorite fellowship, internship, and research opportunities. Check ‘em out!

Fellowships

Looking for financial support to further your research? Fellowships often provide funding plus experiential learning opportunities to young researchers. Learn more about fellowship opportunities.

Internships allow you to network and forge connections for future job possibilities, while also exploring possible areas of interest. Look at this list of companies who offer valuable opportunities.

Our community is founded on igniting groundbreaking developments in applied math and computational science. Take a deeper dive into your area of study with one of these opportunities.