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 Samuel Horváth, Lihua Lei, Peter Richtárik, and Michael I. Jordan SIAM Journal on Mathematics of Data Science, Volume 4, Issue 2, Page 634-648, June 2022. Adaptivity is an important yet under-studied property in modern optimization theory. The gap between...

By Martin Molina-Fructuoso and Ryan Murray SIAM Journal on Mathematics of Data Science, Volume 4, Issue 2, Page 604-633, June 2022. Widespread application of modern machine learning has increased the need for robust statistical algorithms....

In the United States, May is Asian American and Pacific Islander Heritage Month. As we recognize the importance of Asian American and Pacific Islander mathematicians throughout history and their ...

How to Be Creative: A Practical Guide for the Mathematical Sciences , written by Nicholas J. Higham and Dennis Sherwood, is a how-to guide that gives a six-step process for generating great ideas ...

By Jillian Kunze
The impressive work of many women within the field of data science was evident during the Women in Data Science (WiDS) Worldwide Conference 2022 , which took place in a ...

By Roland Glowinski, Yongcun Song, Xiaoming Yuan, and Hangrui Yue SIAM Review, Volume 64, Issue 2, Page 392-421, May 2022. We consider the bilinear optimal control of an advection-reaction-diffusion system, where the control arises as the velocity field in...

By Volker H. Schulz SIAM Review, Volume 64, Issue 2, Page 503-513, May 2022. We start this section with Andreas Mang's in-depth featured review on the book Introduction to the Tools of Scientific...

By Axel Kittenberger, Leonidas Mindrinos, and Otmar Scherzer SIAM Review, Volume 64, Issue 2, Page 469-484, May 2022. In this paper, we provide assembly instructions for an easy-to-build experimental setup in order to gain practical experience with...

By Darinka Dentcheva SIAM Review, Volume 64, Issue 2, Page 467-467, May 2022. This issue contains two papers in the Education section. The first paper, “Computed Origami Tomography,” is presented by Axel...

By Bernardo Gouveia and Howard A. Stone SIAM Review, Volume 64, Issue 2, Page 485-499, May 2022. In the study of ordinary differential equations (ODEs) of the form $\hat{L}[y(x)]=f(x)$, where $\hat{L}$ is a linear differential operator,...

By František Kardoš SIAM Review, Volume 64, Issue 2, Page 425-465, May 2022. Fullerene graphs, i.e., 3-connected planar cubic graphs with pentagonal and hexagonal faces, are conjectured to be Hamiltonian. This is...

By Steven L. Brunton, Marko Budišić, Eurika Kaiser, and J. Nathan Kutz SIAM Review, Volume 64, Issue 2, Page 229-340, May 2022. The field of dynamical systems is being transformed by the mathematical tools and algorithms emerging from modern computing and...

By Misha E. Kilmer SIAM Review, Volume 64, Issue 2, Page 341-342, May 2022. This issue features three Research Spotlight articles. The first of these is entitled “Variance and Covariance of Distributions...

By The Editors SIAM Review, Volume 64, Issue 2, Page 423-423, May 2022. The SIGEST article in this issue is Hamiltonicity of Cubic Planar Graphs with Bounded Face Sizes, by František Kardoš....

By J. M. Sanz-Serna SIAM Review, Volume 64, Issue 2, Page 227-227, May 2022. Steven L. Brunton, Marko Budišić, Eurika Kaiser, and J. Nathan Kutz are the authors of the Survey and Review...

By Alexander Strang, Karen C. Abbott, and Peter J. Thomas SIAM Review, Volume 64, Issue 2, Page 360-391, May 2022. Competitive tournaments appear in sports, politics, population ecology, and animal behavior. All of these fields have developed methods...

By Karel Devriendt, Samuel Martin-Gutierrez, and Renaud Lambiotte SIAM Review, Volume 64, Issue 2, Page 343-359, May 2022. We develop a theory to measure the variance and covariance of probability distributions defined on the nodes of a...

By Samuel Horváth, Lihua Lei, Peter Richtárik, and Michael I. Jordan SIAM Journal on Mathematics of Data Science, Volume 4, Issue 2, Page 634-648, June 2022. Adaptivity is an important yet under-studied property in modern optimization theory. The gap between...

By Martin Molina-Fructuoso and Ryan Murray SIAM Journal on Mathematics of Data Science, Volume 4, Issue 2, Page 604-633, June 2022. Widespread application of modern machine learning has increased the need for robust statistical algorithms....

By Roland Glowinski, Yongcun Song, Xiaoming Yuan, and Hangrui Yue SIAM Review, Volume 64, Issue 2, Page 392-421, May 2022. We consider the bilinear optimal control of an advection-reaction-diffusion system, where the control arises as the velocity field in...

By Volker H. Schulz SIAM Review, Volume 64, Issue 2, Page 503-513, May 2022. We start this section with Andreas Mang's in-depth featured review on the book Introduction to the Tools of Scientific...

By Axel Kittenberger, Leonidas Mindrinos, and Otmar Scherzer SIAM Review, Volume 64, Issue 2, Page 469-484, May 2022. In this paper, we provide assembly instructions for an easy-to-build experimental setup in order to gain practical experience with...

By Darinka Dentcheva SIAM Review, Volume 64, Issue 2, Page 467-467, May 2022. This issue contains two papers in the Education section. The first paper, “Computed Origami Tomography,” is presented by Axel...

By Bernardo Gouveia and Howard A. Stone SIAM Review, Volume 64, Issue 2, Page 485-499, May 2022. In the study of ordinary differential equations (ODEs) of the form $\hat{L}[y(x)]=f(x)$, where $\hat{L}$ is a linear differential operator,...

By František Kardoš SIAM Review, Volume 64, Issue 2, Page 425-465, May 2022. Fullerene graphs, i.e., 3-connected planar cubic graphs with pentagonal and hexagonal faces, are conjectured to be Hamiltonian. This is...

By Steven L. Brunton, Marko Budišić, Eurika Kaiser, and J. Nathan Kutz SIAM Review, Volume 64, Issue 2, Page 229-340, May 2022. The field of dynamical systems is being transformed by the mathematical tools and algorithms emerging from modern computing and...

By Misha E. Kilmer SIAM Review, Volume 64, Issue 2, Page 341-342, May 2022. This issue features three Research Spotlight articles. The first of these is entitled “Variance and Covariance of Distributions...

By The Editors SIAM Review, Volume 64, Issue 2, Page 423-423, May 2022. The SIGEST article in this issue is Hamiltonicity of Cubic Planar Graphs with Bounded Face Sizes, by František Kardoš....

By J. M. Sanz-Serna SIAM Review, Volume 64, Issue 2, Page 227-227, May 2022. Steven L. Brunton, Marko Budišić, Eurika Kaiser, and J. Nathan Kutz are the authors of the Survey and Review...

By Alexander Strang, Karen C. Abbott, and Peter J. Thomas SIAM Review, Volume 64, Issue 2, Page 360-391, May 2022. Competitive tournaments appear in sports, politics, population ecology, and animal behavior. All of these fields have developed methods...

By Karel Devriendt, Samuel Martin-Gutierrez, and Renaud Lambiotte SIAM Review, Volume 64, Issue 2, Page 343-359, May 2022. We develop a theory to measure the variance and covariance of probability distributions defined on the nodes of a...

By Howard Heaton, Samy Wu Fung, Alex Tong Lin, Stanley Osher, and Wotao Yin SIAM Journal on Mathematics of Data Science, Volume 4, Issue 2, Page 581-603, June 2022. Inverse problems consist of recovering a signal from a collection of noisy measurements. These...

By Andrei Caragea, Dae Gwan Lee, Johannes Maly, Götz Pfander, and Felix Voigtlaender SIAM Journal on Mathematics of Data Science, Volume 4, Issue 2, Page 553-580, June 2022. Until recently, applications of neural networks in machine learning have almost exclusively relied on...

By Eliza O'Reilly and Ngoc Mai Tran SIAM Journal on Mathematics of Data Science, Volume 4, Issue 2, Page 531-552, June 2022. The stable under iteration (STIT) tessellation process is a stochastic process that produces a...

By Armin Askari, Alexandre d'Aspremont, and Laurent El Ghaoui SIAM Journal on Mathematics of Data Science, Volume 4, Issue 2, Page 514-530, June 2022. We show that sparsity-constrained optimization problems over low-dimensional spaces tend to have a small...

By Merle Behr and Axel Munk SIAM Journal on Mathematics of Data Science, Volume 4, Issue 2, Page 490-513, June 2022. We provide a minimax optimal estimation procedure for ${F}$ and ${\Omega}$ in matrix valued...

By Rahul Parhi and Robert D. Nowak SIAM Journal on Mathematics of Data Science, Volume 4, Issue 2, Page 464-489, June 2022. We develop a variational framework to understand the properties of functions learned by fitting...

By Lawrence K. Saul SIAM Journal on Mathematics of Data Science, Volume 4, Issue 2, Page 431-463, June 2022. We describe a simple iterative solution to a widely recurring problem in multivariate data...

By Felix Dietrich, Or Yair, Rotem Mulayoff, Ronen Talmon, and Ioannis G. Kevrekidis SIAM Journal on Mathematics of Data Science, Volume 4, Issue 1, Page 410-430, March 2022. In this paper, we propose a spectral method for deriving functions that are jointly...

By Perfect Y. Gidisu and Michiel E. Hochstenbach SIAM Journal on Mathematics of Data Science, Volume 4, Issue 1, Page 386-409, March 2022. We propose a generalized CUR (GCUR) decomposition for matrix pairs $(A,B)$. Given matrices $A$...

By Payam Delgosha, Hamed Hassani, and Ramtin Pedarsani SIAM Journal on Mathematics of Data Science, Volume 4, Issue 1, Page 362-385, March 2022. It is well known that machine learning models are vulnerable to small but cleverly...

By Haolin Chen and Luis Rademacher SIAM Journal on Mathematics of Data Science, Volume 4, Issue 1, Page 336-361, March 2022. We propose a new algorithm for tensor decomposition, based on the simultaneous diagonalization algorithm,...

By Andreas Habring and Martin Holler SIAM Journal on Mathematics of Data Science, Volume 4, Issue 1, Page 306-335, March 2022. This paper is concerned with the development, analysis, and numerical realization of a novel...

By Ke Wang and Christos Thrampoulidis SIAM Journal on Mathematics of Data Science, Volume 4, Issue 1, Page 260-284, March 2022. Deep neural networks generalize well despite being exceedingly overparameterized and being trained without explicit...

By Immanuel M. Bomze, Francesco Rinaldi, and Damiano Zeffiro SIAM Journal on Mathematics of Data Science, Volume 4, Issue 1, Page 285-305, March 2022. Cluster detection plays a fundamental role in the analysis of data. In this paper,...

By Anastasiya Belyaeva, Kaie Kubjas, Lawrence J. Sun, and Caroline Uhler SIAM Journal on Mathematics of Data Science, Volume 4, Issue 1, Page 204-228, March 2022. The spatial organization of the genome in the cell nucleus plays an important role...

By Florian Heinemann, Axel Munk, and Yoav Zemel SIAM Journal on Mathematics of Data Science, Volume 4, Issue 1, Page 229-259, March 2022. We propose a hybrid resampling method to approximate finitely supported Wasserstein barycenters on large-scale...

By Ningyuan TeresaHuang, David W. Hogg, and Soledad Villar SIAM Journal on Mathematics of Data Science, Volume 4, Issue 1, Page 126-152, March 2022. Overparameterization in deep learning is powerful: Very large models fit the training data perfectly...

By Michaël Fanuel, Antoine Aspeel, Jean-Charles Delvenne, and Johan A. K. Suykens SIAM Journal on Mathematics of Data Science, Volume 4, Issue 1, Page 153-178, March 2022. In machine learning or statistics, it is often desirable to reduce the dimensionality of...

By Jason M. Altschuler and Enric Boix-Adserà SIAM Journal on Mathematics of Data Science, Volume 4, Issue 1, Page 179-203, March 2022. Computing Wasserstein barycenters (a.k.a. optimal transport barycenters) is a fundamental problem in geometry which...

By Junteng Jia and Austin R. Benson SIAM Journal on Mathematics of Data Science, Volume 4, Issue 1, Page 100-125, March 2022. Semi-supervised learning on graphs is a widely applicable problem in network science and machine...

By Anna Little, Daniel McKenzie, and James M. Murphy SIAM Journal on Mathematics of Data Science, Volume 4, Issue 1, Page 72-99, March 2022. New geometric and computational analyses of power-weighted shortest path distances (PWSPDs) are presented. ...

By Le Thi Khanh Hien, Duy Nhat Phan, Nicolas Gillis, Masoud Ahookhosh, and Panagiotis Patrinos SIAM Journal on Mathematics of Data Science, Volume 4, Issue 1, Page 1-25, March 2022. In this paper, we consider a class of nonsmooth nonconvex optimization problems whose objective...

By Cenk Baykal, Lucas Liebenwein, Igor Gilitschenski, Dan Feldman, and Daniela Rus SIAM Journal on Mathematics of Data Science, Volume 4, Issue 1, Page 26-45, March 2022. We introduce a family of pruning algorithms that sparsifies the parameters of a trained...

By Cole Hawkins, Xing Liu, and Zheng Zhang SIAM Journal on Mathematics of Data Science, Volume 4, Issue 1, Page 46-71, March 2022. Post-training model compression can reduce the inference costs of deep neural networks, but uncompressed...

In the United States, May is Asian American and Pacific Islander Heritage Month. As we recognize the importance of Asian American and Pacific Islander mathematicians throughout history and their ...

How to Be Creative: A Practical Guide for the Mathematical Sciences , written by Nicholas J. Higham and Dennis Sherwood, is a how-to guide that gives a six-step process for generating great ideas ...

By Jillian Kunze
The impressive work of many women within the field of data science was evident during the Women in Data Science (WiDS) Worldwide Conference 2022 , which took place in a ...

By Lenore J. Cowen
Large public databases that aggregate the many results of experiments in cell biology are increasingly expanding our knowledge of the relationships between human genes. ...

By Matthew R. Francis
Researchers across every scientific discipline need complete and reliable data sets to draw trustworthy conclusions. However, publishing all data from a given study can ...

We look forward to your participation at SIAM International Conference on Data Mining (SDM22) , being held in virtual format.
Please review the information below, which includes important ...

April is Global Volunteer Month, an occasion to celebrate the dedicated individuals who offer their time in exchange for nothing more than making SIAM (and the world) a better place. We would like ...

Society for Industrial and Applied Mathematics (SIAM) is pleased to announce the inaugural class of MGB-SIAM Early Career (MSEC) Fellows. These distinguished early career professionals were ...

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 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.

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.