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 Joseph D. Johnson, Adam M. Redlich, and Daniel M. Abrams SIAM Review, Volume 64, Issue 3, Page 625-639, August 2022. Firms in the U.S. spend over $200 billion each year advertising their products to consumers, around one percent...

By Demi L. Gandy and Martin R. Nelson SIAM Review, Volume 64, Issue 3, Page 728-747, August 2022. The Gray--Scott model is a widely studied autocatalytic model that exhibits a range of interesting pattern formation behavior, as...

By Volker H. Schulz SIAM Review, Volume 64, Issue 3, Page 751-759, August 2022. The section starts with two hot topics combined into one book: data-driven science and COVID-19. In our featured review,...

By Manlio Gaudioso and Jean-Baptiste Hiriart-Urruty SIAM Review, Volume 64, Issue 3, Page 713-727, August 2022. We consider, and study with elementary calculus, the polyhedral norms $||x||_{(k)}=$ sum of the $\mathit{k}$ largest among the $|x_{i}|$'s....

By Qinmeng Zou and Frédéric Magoulès SIAM Review, Volume 64, Issue 3, Page 517-553, August 2022. The primary aim of this paper is to provide a review of the last few decades of research focused...

By Boyue Li, Zhize Li, and Yuejie Chi SIAM Journal on Mathematics of Data Science, Volume 4, Issue 3, Page 1031-1051, September 2022. Emerging applications in multiagent environments such as internet-of-things, networked sensing, autonomous systems, and federated...

By Darinka Dentcheva SIAM Review, Volume 64, Issue 3, Page 711-712, August 2022. This issue of SIAM Review presents two papers in the Education section. The first paper, “Deforming $\|\cdot\|_1$ into $\|\cdot\|_\infty$...

By Nate Veldt, Austin R. Benson, and Jon Kleinberg SIAM Review, Volume 64, Issue 3, Page 650-685, August 2022. The minimum $s$-$t$ cut problem in graphs is one of the most fundamental problems in combinatorial optimization, and graph...

By Paolo Guasoni and Yu-Jui Huang SIAM Review, Volume 64, Issue 3, Page 689-709, August 2022. Federal student loans are fixed-rate debt contracts with three main special features: (i) borrowers can use income-driven schemes to...

By Misha E. Kilmer SIAM Review, Volume 64, Issue 3, Page 623-624, August 2022. What's in a name [brand]? In the first of three Research Spotlights articles this issue, authors Joseph D....

By Mark Van der Boor, Sem C. Borst, Johan S. H. Van Leeuwaarden, and Debankur Mukherjee SIAM Review, Volume 64, Issue 3, Page 554-622, August 2022. In this survey we provide an overview of recent advances on scalable load balancing schemes which provide favorable delay...

By The Editors SIAM Review, Volume 64, Issue 3, Page 687-687, August 2022. In this section we present “Minimizing the Repayment Cost of Federal Student Loans,” by Paolo Guasoni and Yu-Jui Huang....

By Joseph D. Johnson, Adam M. Redlich, and Daniel M. Abrams SIAM Review, Volume 64, Issue 3, Page 625-639, August 2022. Firms in the U.S. spend over $200 billion each year advertising their products to consumers, around one percent...

By Demi L. Gandy and Martin R. Nelson SIAM Review, Volume 64, Issue 3, Page 728-747, August 2022. The Gray--Scott model is a widely studied autocatalytic model that exhibits a range of interesting pattern formation behavior, as...

By Volker H. Schulz SIAM Review, Volume 64, Issue 3, Page 751-759, August 2022. The section starts with two hot topics combined into one book: data-driven science and COVID-19. In our featured review,...

By Manlio Gaudioso and Jean-Baptiste Hiriart-Urruty SIAM Review, Volume 64, Issue 3, Page 713-727, August 2022. We consider, and study with elementary calculus, the polyhedral norms $||x||_{(k)}=$ sum of the $\mathit{k}$ largest among the $|x_{i}|$'s....

By Qinmeng Zou and Frédéric Magoulès SIAM Review, Volume 64, Issue 3, Page 517-553, August 2022. The primary aim of this paper is to provide a review of the last few decades of research focused...

By Boyue Li, Zhize Li, and Yuejie Chi SIAM Journal on Mathematics of Data Science, Volume 4, Issue 3, Page 1031-1051, September 2022. Emerging applications in multiagent environments such as internet-of-things, networked sensing, autonomous systems, and federated...

By Darinka Dentcheva SIAM Review, Volume 64, Issue 3, Page 711-712, August 2022. This issue of SIAM Review presents two papers in the Education section. The first paper, “Deforming $\|\cdot\|_1$ into $\|\cdot\|_\infty$...

By Nate Veldt, Austin R. Benson, and Jon Kleinberg SIAM Review, Volume 64, Issue 3, Page 650-685, August 2022. The minimum $s$-$t$ cut problem in graphs is one of the most fundamental problems in combinatorial optimization, and graph...

By Paolo Guasoni and Yu-Jui Huang SIAM Review, Volume 64, Issue 3, Page 689-709, August 2022. Federal student loans are fixed-rate debt contracts with three main special features: (i) borrowers can use income-driven schemes to...

By Misha E. Kilmer SIAM Review, Volume 64, Issue 3, Page 623-624, August 2022. What's in a name [brand]? In the first of three Research Spotlights articles this issue, authors Joseph D....

By Mark Van der Boor, Sem C. Borst, Johan S. H. Van Leeuwaarden, and Debankur Mukherjee SIAM Review, Volume 64, Issue 3, Page 554-622, August 2022. In this survey we provide an overview of recent advances on scalable load balancing schemes which provide favorable delay...

By The Editors SIAM Review, Volume 64, Issue 3, Page 687-687, August 2022. In this section we present “Minimizing the Repayment Cost of Federal Student Loans,” by Paolo Guasoni and Yu-Jui Huang....

By Andy Wathen SIAM Review, Volume 64, Issue 3, Page 640-649, August 2022. The solution of systems of linear(ized) equations lies at the heart of many problems in scientific computing. In particular,...

By J. M. Sanz-Serna SIAM Review, Volume 64, Issue 3, Page 515-515, August 2022. This issue contains two Survey and Review papers. The first, by Qinmeng Zou and Frédéric Magoulès, is “Delayed Gradient...

By Lea Bogensperger, Antonin Chambolle, and Thomas Pock SIAM Journal on Mathematics of Data Science, Volume 4, Issue 3, Page 1003-1030, September 2022. We analyze a “piggyback''-style method for computing the derivative of a loss which depends...

By Mathieu Barré, Adrien Taylor, and Alexandre d'Aspremont SIAM Journal on Mathematics of Data Science, Volume 4, Issue 3, Page 979-1002, September 2022. Among extrapolation methods, Anderson acceleration (AA) is a popular technique for speeding up convergence...

By Justin Solomon, Kristjan Greenewald, and Haikady Nagaraja SIAM Journal on Mathematics of Data Science, Volume 4, Issue 3, Page 957-978, September 2022. We introduce $k$-variance, a generalization of variance built on the machinery of random bipartite...

By Yue Xing, Qifan Song, and Guang Cheng SIAM Journal on Mathematics of Data Science, Volume 4, Issue 2, Page 935-956, June 2022. In some studies (e.g., [C. Zhang et al. in Proceedings of the 5th International...

By Pini Zilber and Boaz Nadler SIAM Journal on Mathematics of Data Science, Volume 4, Issue 2, Page 909-934, June 2022. Low rank matrix recovery problems appear in a broad range of applications. In this...

By Yuege Xie, Hung-Hsu Chou, Holger Rauhut, and Rachel Ward SIAM Journal on Mathematics of Data Science, Volume 4, Issue 2, Page 885-908, June 2022. Motivated by surprisingly good generalization properties of learned deep neural networks in overparameterized scenarios...

By Facundo Mémoli, Zhengchao Wan, and Yusu Wang SIAM Journal on Mathematics of Data Science, Volume 4, Issue 2, Page 858-884, June 2022. We present a thorough study of the theoretical properties and devise efficient algorithms for...

By Yuming Chen, Daniel Sanz-Alonso, and Rebecca Willett SIAM Journal on Mathematics of Data Science, Volume 4, Issue 2, Page 801-833, June 2022. Data assimilation is concerned with sequentially estimating a temporally evolving state. This task,...

By Tong Zhang SIAM Journal on Mathematics of Data Science, Volume 4, Issue 2, Page 834-857, June 2022. Thompson sampling has been widely used for contextual bandit problems due to the flexibility...

By Thomas Hamm and Ingo Steinwart SIAM Journal on Mathematics of Data Science, Volume 4, Issue 2, Page 721-749, June 2022. We prove minimax optimal learning rates for kernel ridge regression, respectively, support vector machines,...

By François Bachoc, Andrés F. López-Lopera, and Olivier Roustant SIAM Journal on Mathematics of Data Science, Volume 4, Issue 2, Page 772-800, June 2022. Accounting for inequality constraints, such as boundedness, monotonicity, or convexity, is challenging when modeling...

By Axel Böhm, Michael Sedlmayer, Ernö Robert Csetnek, and Radu Ioan Boţ SIAM Journal on Mathematics of Data Science, Volume 4, Issue 2, Page 750-771, June 2022. Motivated by the training of generative adversarial networks (GANs), we study methods for solving...

By Yuqing Li, Tao Luo, and Chao Ma SIAM Journal on Mathematics of Data Science, Volume 4, Issue 2, Page 694-720, June 2022. In an attempt to better understand structural benefits and generalization power of...

By Markus Böck and Clemens Heitzinger SIAM Journal on Mathematics of Data Science, Volume 4, Issue 2, Page 675-693, June 2022. In distributional reinforcement learning, the entire distribution of the return instead of just the...

By Valentin Duruisseaux and Melvin Leok SIAM Journal on Mathematics of Data Science, Volume 4, Issue 2, Page 649-674, June 2022. It was shown recently by [W. Su, S. Boyd, and E. Candes, J. Mach....

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 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 Vidya Setlur
Humans are innately curious creatures. We constantly seek connection, certainty, and clarification in the world around us — when looking at signs while driving, for instance, ...

By Lina Sorg
The autonomous vehicle market is not yet fully autonomous; at present, self-driving cars are meant to be used in conjunction with human operators. Because factors like stress, ...

By Lior Horesh , Lars Ruthotto , and Karen E. Willcox
The 2022 SIAM Conference on Mathematics of Data Science (MDS22) will take place in a hybrid format and welcome a diverse set of ...

By Trent DeGiovanni , Wesley Hamilton , Rebecca Hardenbrook , Jude Higdon , Owen Koppe , Keshav Patel , and Chad M. Topaz
The world is currently facing many complex challenges. Issues ...

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 ...

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.