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 Julius Berner, Philipp Grohs, and Arnulf Jentzen SIAM Journal on Mathematics of Data Science, Volume 2, Issue 3, Page 631-657, January 2020. The development of new classification and regression algorithms based on empirical risk minimization (ERM)...

By Jillian Kunze
Ashley Johnson opened her minisymposium presentation at the 2020 SIAM Annual Meeting with a quote from businesswoman Leila Janah: “Talent is equally distributed but ...

By Lina Sorg
The recruitment and retention of women and other minorities has been a significant challenge for science, technology, engineering, and mathematics (STEM) fields for the last ...

By Ben Adcock and Juan M. Cardenas SIAM Journal on Mathematics of Data Science, Volume 2, Issue 3, Page 607-630, January 2020. In this paper, we address the problem of approximating a multivariate function defined on...

By Keegan Lensink , William Parker , and Eldad Haber
Over the last several months, the severe acute respiratory syndrome coronavirus 2 (SARS-CoV-2) has rapidly become a global pandemic, ...

By Mike Dairyko
My love for mathematics blossomed in a linear algebra course during my sophomore year at Pomona College. I felt truly challenged in the subject for the first time, and I ...

By Julius Berner, Philipp Grohs, and Arnulf Jentzen SIAM Journal on Mathematics of Data Science, Volume 2, Issue 3, Page 631-657, January 2020. The development of new classification and regression algorithms based on empirical risk minimization (ERM)...

By Ben Adcock and Juan M. Cardenas SIAM Journal on Mathematics of Data Science, Volume 2, Issue 3, Page 607-630, January 2020. In this paper, we address the problem of approximating a multivariate function defined on...

By Ilja Klebanov, Ingmar Schuster, and T. J. Sullivan SIAM Journal on Mathematics of Data Science, Volume 2, Issue 3, Page 583-606, January 2020. Conditional mean embeddings (CMEs) have proven themselves to be a powerful tool in many...

By Bao Wang, Binjie Yuan, Zuoqiang Shi, and Stanley J. Osher SIAM Journal on Mathematics of Data Science, Volume 2, Issue 3, Page 559-582, January 2020. Empirical adversarial risk minimization is a widely used mathematical framework to robustly train...

By Patrick L. Combettes and Jean-Christophe Pesquet SIAM Journal on Mathematics of Data Science, Volume 2, Issue 2, Page 529-557, January 2020. Obtaining sharp Lipschitz constants for feed-forward neural networks is essential to assess their robustness...

By Yuan Li, Benjamin Mark, Garvesh Raskutti, Rebecca Willett, Hyebin Song, and David Neiman SIAM Journal on Mathematics of Data Science, Volume 2, Issue 2, Page 480-504, January 2020. Sparse models for high-dimensional linear regression and machine learning have received substantial attention over...

By Thomas Reeves, Anil Damle, and Austin R. Benson SIAM Journal on Mathematics of Data Science, Volume 2, Issue 2, Page 505-528, January 2020. Given a set of snapshots from a temporal network we develop, analyze, and experimentally...

By Anru R. Zhang, Yuetian Luo, Garvesh Raskutti, and Ming Yuan SIAM Journal on Mathematics of Data Science, Volume 2, Issue 2, Page 444-479, January 2020. In this paper, we develop a novel procedure for low-rank tensor regression, namely Importance...

By Marcel Klatt, Carla Tameling, and Axel Munk SIAM Journal on Mathematics of Data Science, Volume 2, Issue 2, Page 419-443, January 2020. We derive limit distributions for various empirical regularized optimal transport quantities between probability...

By Zixuan Cang and Guo-Wei Wei SIAM Journal on Mathematics of Data Science, Volume 2, Issue 2, Page 396-418, January 2020. Persistent homology is a powerful tool for characterizing the topology of a data set...

By Ling Guo, Akil Narayan, and Tao Zhou SIAM Review, Volume 62, Issue 2, Page 483-508, January 2020. Polynomial approximations constructed using a least-squares approach form a ubiquitous technique in numerical computation. One of the simplest ways...

By Lloyd N. Trefethen SIAM Review, Volume 62, Issue 2, Page 439-462, January 2020. Boundary-value problems involving the linear differential equation $\varepsilon y'' - x y' + y = 0$ have surprising properties...

By Yair Carmon and John C. Duchi SIAM Review, Volume 62, Issue 2, Page 395-436, January 2020. We consider minimization of indefinite quadratics with either trust-region (norm) constraints or cubic regularization. Despite the nonconvexity of these...

By Anne Greenbaum, Ren-Cang Li, and Michael L. Overton SIAM Review, Volume 62, Issue 2, Page 463-482, January 2020. We present first-order perturbation analysis of a simple eigenvalue and the corresponding right and left eigenvectors of a general...

By Philipp Grohs, Sarah Koppensteiner, and Martin Rathmair SIAM Review, Volume 62, Issue 2, Page 301-350, January 2020. The problem of phase retrieval, i.e., the problem of recovering a function from the magnitudes of its Fourier...

By Michael T. Schaub, Austin R. Benson, Paul Horn, Gabor Lippner, and Ali Jadbabaie SIAM Review, Volume 62, Issue 2, Page 353-391, January 2020. Using graphs to model pairwise relationships between entities is a ubiquitous framework for studying complex systems and data. Simplicial...

By Volker H. Schulz SIAM Review, Volume 62, Issue 2, Page 511-526, January 2020. I am writing these lines in April 2020 while science is in lockdown mode globally. They will be published...

By The Editors SIAM Review, Volume 62, Issue 2, Page 393-393, January 2020. The SIGEST article in this issue, “First-Order Methods for Nonconvex Quadratic Minimization,” by Yair Carmon and John C. Duchi,...

By Misha E. Kilmer SIAM Review, Volume 62, Issue 2, Page 351-351, January 2020. The current issue of SIAM Review features the Research Spotlights article “Random Walks on Simplicial Complexes and the Normalized...

By Darinka Dentcheva SIAM Review, Volume 62, Issue 2, Page 437-438, January 2020. The Education section of SIAM Review presents three papers in this issue. In the first paper Lloyd N. Trefethen...

By J. M. Sanz-Serna SIAM Review, Volume 62, Issue 2, Page 299-299, January 2020. In a previous issue of SIAM Review, I started my introduction to the Survey and Review section by saying...

By Ming-Jun Lai and Daniel Mckenzie SIAM Journal on Mathematics of Data Science, Volume 2, Issue 2, Page 368-395, January 2020. We show how one can phrase the cut improvement problem for graphs as a...

By Michael T. Schaub, Santiago Segarra, and John N. Tsitsiklis SIAM Journal on Mathematics of Data Science, Volume 2, Issue 2, Page 335-367, January 2020. We consider a blind identification problem in which we aim to recover a statistical...

By Charles Clum, Dustin G. Mixon, and Theresa Scarnati SIAM Journal on Mathematics of Data Science, Volume 2, Issue 2, Page 309-334, January 2020. We introduce a new Procrustes-type method called matching component analysis to isolate components in...

By Xinye Zheng, Jianbo Ye, James Z. Wang, and Jia Li SIAM Journal on Mathematics of Data Science, Volume 2, Issue 2, Page 284-308, January 2020. Optimal transport (OT) is a prominent framework for point set registration, that is, to...

By Yuan Zhang, Elizaveta Levina, and Ji Zhu SIAM Journal on Mathematics of Data Science, Volume 2, Issue 2, Page 265-283, January 2020. Community detection has been well studied in network analysis, but the more realistic case...

By Nguyen Hieu Thao, David Russell Luke, Oleg Soloviev, and Michel Verhaegen SIAM Journal on Mathematics of Data Science, Volume 2, Issue 1, Page 246-263, January 2020. In this paper, we propose and investigate the phase retrieval problem with the a...

By Han-Wen Kuo, Yuqian Zhang, Yenson Lau, and John Wright SIAM Journal on Mathematics of Data Science, Volume 2, Issue 1, Page 216-245, January 2020. We study the short-and-sparse (SaS) deconvolution problem of recovering a short signal $\boldsymbol{a}_0$ and...

By Rachel Minster, Arvind K. Saibaba, and Misha E. Kilmer SIAM Journal on Mathematics of Data Science, Volume 2, Issue 1, Page 189-215, January 2020. Many applications in data science and scientific computing involve large-scale datasets that are expensive...

By Alireza Aghasi, Afshin Abdi, and Justin Romberg SIAM Journal on Mathematics of Data Science, Volume 2, Issue 1, Page 158-188, January 2020. We develop a fast, tractable technique called Net-Trim for simplifying a trained neural network....

By Emmanuel Abbe, Enric Boix-Adserà, Peter Ralli, and Colin Sandon SIAM Journal on Mathematics of Data Science, Volume 2, Issue 1, Page 132-157, January 2020. Spectral algorithms, such as principal component analysis and spectral clustering, rely on the extremal...

By Eric Mazumdar, Lillian J. Ratliff, and S. Shankar Sastry SIAM Journal on Mathematics of Data Science, Volume 2, Issue 1, Page 103-131, January 2020. We introduce a general framework for competitive gradient-based learning that encompasses a wide breadth...

By Volker H. Schulz SIAM Review, Volume 62, Issue 1, Page 283-297, January 2020. The frame for the Book Reviews section this time is formed by the books of two very well known...

By The Editors SIAM Review, Volume 62, Issue 1, Page 197-197, January 2020. The SIGEST article in this issue, “Asymptotically Compatible Schemes for Robust Discretization of Parametrized Problems with Applications to Nonlocal...

By Misha E. Kilmer SIAM Review, Volume 62, Issue 1, Page 131-131, January 2020. Tensors, or multiway arrays, are often used for storage of high-dimensional data. In order to have compression, completion,...

By J. M. Sanz-Serna SIAM Review, Volume 62, Issue 1, Page 1-1, January 2020. Bernard Brogliato and Aneel Tanwani are the authors of “Dynamical Systems Coupled with Monotone Set-Valued Operators: Formalisms, Applications, Well-Posedness,...

By Darinka Dentcheva SIAM Review, Volume 62, Issue 1, Page 229-230, January 2020. The Education section of SIAM Review presents three papers in this issue. In the first paper Robert M. Corless...

By Xiaochuan Tian and Qiang Du SIAM Review, Volume 62, Issue 1, Page 199-227, January 2020. Many problems in nature, being characterized by a parameter, are of interest both with a fixed parameter value...

By Bernard Brogliato and Aneel Tanwani SIAM Review, Volume 62, Issue 1, Page 3-129, January 2020. This survey article addresses the class of continuous-time systems where a system modeled by ordinary differential equations is...

By David Hong, Tamara G. Kolda, and Jed A. Duersch SIAM Review, Volume 62, Issue 1, Page 133-163, January 2020. Tensor decomposition is a fundamental unsupervised machine learning method in data science, with applications including network analysis and sensor...

By Tracy L. Stepien, Eric J. Kostelich, and Yang Kuang SIAM Review, Volume 62, Issue 1, Page 244-263, January 2020. Most undergraduates have limited experience with mathematical modeling. In an effort to respond to various initiatives, such as the...

By Antônio Francisco Neto SIAM Review, Volume 62, Issue 1, Page 264-280, January 2020. In this work we introduce a new operator based approach to matrix analysis. Our main technical tool comprises an...

By Nawaf Bou-Rabee and Miranda C. Holmes-Cerfon SIAM Review, Volume 62, Issue 1, Page 164-195, January 2020. Sticky Brownian motion is the simplest example of a diffusion process that can spend finite time both in the...

By Robert M. Corless and Leili Rafiee Sevyeri SIAM Review, Volume 62, Issue 1, Page 231-243, January 2020. We look at two classical examples in the theory of numerical analysis, namely, the Runge example for interpolation and...

By Vasileios Maroulas, Farzana Nasrin, and Christopher Oballe SIAM Journal on Mathematics of Data Science, Volume 2, Issue 1, Page 48-74, January 2020. Persistence diagrams offer a way to summarize topological and geometric properties latent in datasets....

By Raphaël Berthier, Francis Bach, and Pierre Gaillard SIAM Journal on Mathematics of Data Science, Volume 2, Issue 1, Page 24-47, January 2020. Consider a network of agents connected by communication links, where each agent holds a...

By Stefanie Günther, Lars Ruthotto, Jacob B. Schroder, Eric C. Cyr, and Nicolas R. Gauger SIAM Journal on Mathematics of Data Science, Volume 2, Issue 1, Page 1-23, January 2020. Residual neural networks (ResNets) are a promising class of deep neural networks that have...

By Holger Drees, Anja Janßen , Sidney I. Resnick, and Tiandong Wang SIAM Journal on Mathematics of Data Science, Volume 2, Issue 1, Page 75-102, January 2020. Power-law distributions have been widely observed in different areas of scientific research. Practical estimation...

By Jillian Kunze
Ashley Johnson opened her minisymposium presentation at the 2020 SIAM Annual Meeting with a quote from businesswoman Leila Janah: “Talent is equally distributed but ...

By Lina Sorg
The recruitment and retention of women and other minorities has been a significant challenge for science, technology, engineering, and mathematics (STEM) fields for the last ...

By Keegan Lensink , William Parker , and Eldad Haber
Over the last several months, the severe acute respiratory syndrome coronavirus 2 (SARS-CoV-2) has rapidly become a global pandemic, ...

By Mike Dairyko
My love for mathematics blossomed in a linear algebra course during my sophomore year at Pomona College. I felt truly challenged in the subject for the first time, and I ...

By David Donoho , Mahsa Lotfi , and Batu Ozturkler
Nobel Prize-winning economist Paul Romer views the global COVID-19 shutdown as an economic calamity. Trillions of dollars of economic ...

By Jillian Kunze
The ongoing COVID-19 pandemic and associated travel restrictions prevented the 2020 SIAM Conference on the Life Sciences (LS20) from convening in person in Garden Grove, ...

Update 7/14/20: Today, the Trump Administration rescinded these proposed rules on foreign students studying online, returning to the previous status quo. Thank you to all of the SIAM members who ...

SIAM is pleased to announce the Senior Program Committee for the SIAM International Conference on Data Mining (SDM21).
As part of the submission procedure , SDM21 authors are asked to identify ...

We may not be able to meet in Toronto for this year’s Joint SIAM/CAIMS Annual Meeting (AN20) , but that doesn’t mean we can’t hold the meeting! SIAM and CAIMS are pivoting to virtual with a ...

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 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 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.

The prize recognizes students for outstanding solutions to real world math problems. It is awarded to two 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 Prizes bring attention to papers published in SIAM journals. Three awards are 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 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 purpose of this activity group is to advance the mathematics of data mining, to highlight the importance and benefits of the application of data mining, and to identify and explore the connections between data mining 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.