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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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 Volker H. Schulz SIAM Review, Volume 63, Issue 2, Page 419-431, January 2021. The April issue of SIAM News sadly reported on the death of Bob O'Malley (https://sinews.siam.org/Details-Page/obituary-robert-e-omalley-jr). He led the Book...

By The Editors SIAM Review, Volume 63, Issue 2, Page 373-373, January 2021. The SIGEST article in this issue is “A General Framework for Fractional Order Compartment Models,” by Christopher N. Angstmann,...

By J. M. Sanz-Serna SIAM Review, Volume 63, Issue 2, Page 247-247, January 2021. ``Stochastic Control Liaisons: Richard Sinkhorn Meets Gaspard Monge on a Schrödinger Bridge,” by Yongxin Chen, Tryphon T. Georgiou, and...

By Darinka Dentcheva SIAM Review, Volume 63, Issue 2, Page 393-393, January 2021. This issue of SIAM Review presents two papers in the Education section. The first paper, “Rotations in Three Dimensions,”...

By Misha E. Kilmer SIAM Review, Volume 63, Issue 2, Page 315-315, January 2021. Under what conditions does a semilinear parabolic equation have the maximum bound principle, and do numerical approximations of it...

By Christopher N. Angstmann, Austen M. Erickson, Bruce I. Henry, Anna V. McGann, John M. Murray, and James A. Nichols SIAM Review, Volume 63, Issue 2, Page 375-392, January 2021. Compartment models are a widely used class of models that are useful when considering the flow of objects, ...

By Art B. Owen and Daniel Rudolf SIAM Review, Volume 63, Issue 2, Page 360-372, January 2021. This article provides a strong law of large numbers for integration on digital nets randomized by a nested uniform...

By Qiang Du, Lili Ju, Xiao Li, and Zhonghua Qiao SIAM Review, Volume 63, Issue 2, Page 317-359, January 2021. The ubiquity of semilinear parabolic equations is clear from their numerous applications ranging from physics and biology to materials...

By Milton F. Maritz SIAM Review, Volume 63, Issue 2, Page 395-404, January 2021. The Rodrigues formula for the $3\times 3$ rotation matrix is hardly ever derived from first principles in a simple...

By Maryam Abdolali and Nicolas Gillis SIAM Journal on Mathematics of Data Science, Volume 3, Issue 2, Page 593-623, January 2021. In this paper, we provide novel algorithms with identifiability guarantees for simplex-structured matrix factorization...

By Yongxin Chen, Tryphon T. Georgiou, and Michele Pavon SIAM Review, Volume 63, Issue 2, Page 249-313, January 2021. In 1931--1932, Erwin Schrödinger studied a hot gas Gedankenexperiment (an instance of large deviations of the empirical distribution). Schrödinger's...

By Ben Adcock and Nick Dexter SIAM Journal on Mathematics of Data Science, Volume 3, Issue 2, Page 624-655, January 2021. Deep learning (DL) is transforming whole industries as complicated decision-making processes are being automated...

By Pablo D. Brubeck, Yuji Nakatsukasa, and Lloyd N. Trefethen SIAM Review, Volume 63, Issue 2, Page 405-415, January 2021. Vandermonde matrices are exponentially ill-conditioned, rendering the familiar “polyval(polyfit)” algorithm for polynomial interpolation and least-squares fitting ineffective at higher...

By Ruda Zhang and Roger Ghanem SIAM Journal on Mathematics of Data Science, Volume 3, Issue 2, Page 573-592, January 2021. Probabilistic models of data sets often exhibit salient geometric structure. Such a phenomenon is...

By Torsten Hoefler , Dan Alistarh , Nikoli Dryden , and Tal Ben-Nun
Deep learning continues to deliver surprising new capabilities for tasks such as image and object classification, game ...

By Matthew R. Francis
As of July 2020, the CalGang database contained the names and personal details of nearly 90,000 people in the state of California who are suspected of being in gangs ...

By Richard Kueng and Joel A. Tropp SIAM Journal on Mathematics of Data Science, Volume 3, Issue 2, Page 544-572, January 2021. This paper studies the problem of decomposing a low-rank positive-semidefinite matrix into symmetric factors...

We are looking forward to your participation at the SIAM International Conference on Data Mining (SDM21). We have prepared this guide to explain how the different presentation formats will ...

By Volker H. Schulz SIAM Review, Volume 63, Issue 2, Page 419-431, January 2021. The April issue of SIAM News sadly reported on the death of Bob O'Malley (https://sinews.siam.org/Details-Page/obituary-robert-e-omalley-jr). He led the Book...

By The Editors SIAM Review, Volume 63, Issue 2, Page 373-373, January 2021. The SIGEST article in this issue is “A General Framework for Fractional Order Compartment Models,” by Christopher N. Angstmann,...

By J. M. Sanz-Serna SIAM Review, Volume 63, Issue 2, Page 247-247, January 2021. ``Stochastic Control Liaisons: Richard Sinkhorn Meets Gaspard Monge on a Schrödinger Bridge,” by Yongxin Chen, Tryphon T. Georgiou, and...

By Darinka Dentcheva SIAM Review, Volume 63, Issue 2, Page 393-393, January 2021. This issue of SIAM Review presents two papers in the Education section. The first paper, “Rotations in Three Dimensions,”...

By Misha E. Kilmer SIAM Review, Volume 63, Issue 2, Page 315-315, January 2021. Under what conditions does a semilinear parabolic equation have the maximum bound principle, and do numerical approximations of it...

By Christopher N. Angstmann, Austen M. Erickson, Bruce I. Henry, Anna V. McGann, John M. Murray, and James A. Nichols SIAM Review, Volume 63, Issue 2, Page 375-392, January 2021. Compartment models are a widely used class of models that are useful when considering the flow of objects, ...

By Art B. Owen and Daniel Rudolf SIAM Review, Volume 63, Issue 2, Page 360-372, January 2021. This article provides a strong law of large numbers for integration on digital nets randomized by a nested uniform...

By Qiang Du, Lili Ju, Xiao Li, and Zhonghua Qiao SIAM Review, Volume 63, Issue 2, Page 317-359, January 2021. The ubiquity of semilinear parabolic equations is clear from their numerous applications ranging from physics and biology to materials...

By Milton F. Maritz SIAM Review, Volume 63, Issue 2, Page 395-404, January 2021. The Rodrigues formula for the $3\times 3$ rotation matrix is hardly ever derived from first principles in a simple...

By Maryam Abdolali and Nicolas Gillis SIAM Journal on Mathematics of Data Science, Volume 3, Issue 2, Page 593-623, January 2021. In this paper, we provide novel algorithms with identifiability guarantees for simplex-structured matrix factorization...

By Yongxin Chen, Tryphon T. Georgiou, and Michele Pavon SIAM Review, Volume 63, Issue 2, Page 249-313, January 2021. In 1931--1932, Erwin Schrödinger studied a hot gas Gedankenexperiment (an instance of large deviations of the empirical distribution). Schrödinger's...

By Ben Adcock and Nick Dexter SIAM Journal on Mathematics of Data Science, Volume 3, Issue 2, Page 624-655, January 2021. Deep learning (DL) is transforming whole industries as complicated decision-making processes are being automated...

By Pablo D. Brubeck, Yuji Nakatsukasa, and Lloyd N. Trefethen SIAM Review, Volume 63, Issue 2, Page 405-415, January 2021. Vandermonde matrices are exponentially ill-conditioned, rendering the familiar “polyval(polyfit)” algorithm for polynomial interpolation and least-squares fitting ineffective at higher...

By Ruda Zhang and Roger Ghanem SIAM Journal on Mathematics of Data Science, Volume 3, Issue 2, Page 573-592, January 2021. Probabilistic models of data sets often exhibit salient geometric structure. Such a phenomenon is...

By Richard Kueng and Joel A. Tropp SIAM Journal on Mathematics of Data Science, Volume 3, Issue 2, Page 544-572, January 2021. This paper studies the problem of decomposing a low-rank positive-semidefinite matrix into symmetric factors...

By Ning Zhang, Yangjing Zhang, Defeng Sun, and Kim-Chuan Toh SIAM Journal on Mathematics of Data Science, Volume 3, Issue 2, Page 524-543, January 2021. Nowadays, analyzing data from different classes or over a temporal grid has attracted a...

By Elad Romanov, Tamir Bendory, and Or Ordentlich SIAM Journal on Mathematics of Data Science, Volume 3, Issue 2, Page 494-523, January 2021. Multi-reference alignment entails estimating a signal in $\mathbb{R}^L$ from its circularly shifted and noisy...

By Zachary M. Boyd, Nicolas Fraiman, Jeremy Marzuola, Peter J. Mucha, Braxton Osting, and Jonathan Weare SIAM Journal on Mathematics of Data Science, Volume 3, Issue 2, Page 467-493, January 2021. The shortest-path, commute time, and diffusion distances on undirected graphs have been widely employed...

By Jonathan Bauch, Boaz Nadler, and Pini Zilber SIAM Journal on Mathematics of Data Science, Volume 3, Issue 1, Page 439-465, January 2021. We present a new, simple, and computationally efficient iterative method for low rank matrix...

By Weilin Li SIAM Journal on Mathematics of Data Science, Volume 3, Issue 1, Page 414-438, January 2021. We study the generalization error of functions that interpolate prescribed data points and are...

By Boris Landa, Ronald R. Coifman, and Yuval Kluger SIAM Journal on Mathematics of Data Science, Volume 3, Issue 1, Page 388-413, January 2021. A fundamental step in many data-analysis techniques is the construction of an affinity matrix...

By March Boedihardjo, Shaofeng Deng, and Thomas Strohmer SIAM Journal on Mathematics of Data Science, Volume 3, Issue 1, Page 369-387, January 2021. The two-step spectral clustering method, which consists of the Laplacian eigenmap and a rounding...

By Jamie Haddock and Anna Ma SIAM Journal on Mathematics of Data Science, Volume 3, Issue 1, Page 342-368, January 2021. Stochastic iterative algorithms have gained recent interest in machine learning and signal processing for...

By Wojciech Czaja, Dong Dong, Pierre-Emmanuel Jabin, and Franck Olivier Ndjakou Njeunje SIAM Journal on Mathematics of Data Science, Volume 3, Issue 1, Page 321-341, January 2021. We present a new feature extraction method for noisy datasets with intricate spatio-temporal structures...

By Thinh T. Doan, Siva Theja Maguluri, and Justin Romberg SIAM Journal on Mathematics of Data Science, Volume 3, Issue 1, Page 298-320, January 2021. We study the policy evaluation problem in multi-agent reinforcement learning, modeled by a Markov...

By Michael Fanuel, Joachim Schreurs, and Johan Suykens SIAM Journal on Mathematics of Data Science, Volume 3, Issue 1, Page 280-297, January 2021. Kernel methods have achieved very good performance on large scale regression and classification problems...

By Greg Ongie, Daniel Pimentel-Alarcón, Laura Balzano, Rebecca Willett, and Robert D. Nowak SIAM Journal on Mathematics of Data Science, Volume 3, Issue 1, Page 253-279, January 2021. In the low-rank matrix completion (LRMC) problem, the low-rank assumption means that the columns...

By Robert J. Webber, Erik H. Thiede, Douglas Dow, Aaron R. Dinner, and Jonathan Weare SIAM Journal on Mathematics of Data Science, Volume 3, Issue 1, Page 225-252, January 2021. Dynamical spectral estimation is a well-established numerical approach for estimating eigenvalues and eigenfunctions of...

By Shayan Aziznejad and Michael Unser SIAM Journal on Mathematics of Data Science, Volume 3, Issue 1, Page 201-224, January 2021. In this paper, we provide a Banach-space formulation of supervised learning with generalized total-...

By Alp Yurtsever, Joel A. Tropp, Olivier Fercoq, Madeleine Udell, and Volkan Cevher SIAM Journal on Mathematics of Data Science, Volume 3, Issue 1, Page 171-200, January 2021. Semidefinite programming (SDP) is a powerful framework from convex optimization that has striking potential...

By Lu Lu, Xuhui Meng, Zhiping Mao, and George Em Karniadakis SIAM Review, Volume 63, Issue 1, Page 208-228, January 2021. Deep learning has achieved remarkable success in diverse applications; however, its use in solving partial differential equations (PDEs) has...

By Lenore Cowen, Kapil Devkota, Xiaozhe Hu, James M. Murphy, and Kaiyi Wu SIAM Journal on Mathematics of Data Science, Volume 3, Issue 1, Page 142-170, January 2021. Data-dependent metrics are powerful tools for learning the underlying structure of high-dimensional data. ...

By Nicholas A. Battista SIAM Review, Volume 63, Issue 1, Page 181-207, January 2021. While students may find spline interpolation quite digestible based on their familiarity with the continuity of a function and...

By Bengt Fornberg SIAM Review, Volume 63, Issue 1, Page 167-180, January 2021. The trapezoidal rule uses function values at equispaced nodes. It is very accurate for integrals over periodic intervals, but...

By Michelle Feng and Mason A. Porter SIAM Review, Volume 63, Issue 1, Page 67-99, January 2021. A crucial step in the analysis of persistent homology is the transformation of data into an appropriate topological object...

By Juan Kuntz, Philipp Thomas, Guy-Bart Stan, and Mauricio Barahona SIAM Review, Volume 63, Issue 1, Page 3-64, January 2021. Computing the stationary distributions of a continuous-time Markov chain (CTMC) involves solving a set of linear equations. In most...

By Nour Riman, Jonathan D. Victor, Sebastian D. Boie, and Bard Ermentrout SIAM Review, Volume 63, Issue 1, Page 100-120, January 2021. Animals use stereo sampling of odor concentration to localize sources and follow odor trails. We analyze the dynamics of...

By Xavier Allamigeon, Pascal Benchimol, Stéphane Gaubert, and Michael Joswig SIAM Review, Volume 63, Issue 1, Page 123-164, January 2021. Tropical geometry has been recently used to obtain new complexity results in convex optimization and game theory. In this...

By Misha E. Kilmer SIAM Review, Volume 63, Issue 1, Page 65-65, January 2021. We have two Research Spotlights papers in the lineup this issue. The first of these, “Persistent Homology of...

By Darinka Dentcheva SIAM Review, Volume 63, Issue 1, Page 165-166, January 2021. This issue of SIAM Review presents three papers in the Education section. The first paper, “Improving the Accuracy of...

By J. M. Sanz-Serna SIAM Review, Volume 63, Issue 1, Page 1-1, January 2021. The use of probabilistic ideas by applied mathematicians has seen a continued increase in recent decades. Probability now...

By The Editors SIAM Review, Volume 63, Issue 1, Page 121-121, January 2021. The SIGEST article in this issue is “What Tropical Geometry Tells Us about the Complexity of Linear Programming,” by...

By Volker H. Schulz SIAM Review, Volume 63, Issue 1, Page 231-245, January 2021. The section opens with a review well written by a giant in the field of numerical solution of partial...

By Ariel Jaffe, Noah Amsel, Yariv Aizenbud, Boaz Nadler, Joseph T. Chang, and Yuval Kluger SIAM Journal on Mathematics of Data Science, Volume 3, Issue 1, Page 113-141, January 2021. A common assumption in multiple scientific applications is that the distribution...

By Valentin De Bortoli, Agnès Desolneux, Alain Durmus, Bruno Galerne, and Arthur Leclaire SIAM Journal on Mathematics of Data Science, Volume 3, Issue 1, Page 52-82, January 2021. Recent years have seen the rise of convolutional neural network techniques in exemplar-based image...

By Alex Tank, Xiudi Li, Emily B. Fox, and Ali Shojaie SIAM Journal on Mathematics of Data Science, Volume 3, Issue 1, Page 83-112, January 2021. We present a framework for learning Granger causality networks for multivariate categorical time series...

By Amitabh Basu, Tu Nguyen, and Ao Sun SIAM Journal on Mathematics of Data Science, Volume 3, Issue 1, Page 31-51, January 2021. We look at stochastic optimization problems through the lens of statistical decision theory. In...

By Braxton Osting, Dong Wang, Yiming Xu, and Dominique Zosso SIAM Journal on Mathematics of Data Science, Volume 3, Issue 1, Page 1-30, January 2021. Archetypal analysis is an unsupervised learning method that uses a convex polytope to summarize...

By Torsten Hoefler , Dan Alistarh , Nikoli Dryden , and Tal Ben-Nun
Deep learning continues to deliver surprising new capabilities for tasks such as image and object classification, game ...

By Matthew R. Francis
As of July 2020, the CalGang database contained the names and personal details of nearly 90,000 people in the state of California who are suspected of being in gangs ...

We are looking forward to your participation at the SIAM International Conference on Data Mining (SDM21). We have prepared this guide to explain how the different presentation formats will ...

Mathematics and statistics play a vital part in everyday life. Mathematical and statistical techniques are used to help solve real-world problems, focusing on topics such as disease spread, ...

By Lina Sorg
The continued evolution of artificial intelligence (AI) is deeply affecting many fields of science and mathematics and will continue to do so in the coming years. Present AI ...

By Lina Sorg
In recent years, technological advancements have allowed robots to better perceive, understand, and function in the world around them. As a result, sophisticated drones, ...

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.

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.

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.

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.

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.

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 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 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 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 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.