SOCR News APS GDS ShortCourse March 2022

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SOCR News & Events: APS GDS Short Course – March Meeting 2022

Logistics

  • Contacts
    • GDS Program Chair: Maria Longobardi, University of Naples Federico II
    • Organizer: Ivo D. Dinov, University of Michigan
    • APS Coordinators: Vinaya Sathyasheelappa; Cynthia Smith
  • Short-Course Title: Longitudinal Data Tensor-Linear Modeling and Space-kime Analytics

Course Summary

In many scientific domains, there is a rapid increase of the volume, sampling rate, and heterogeneity of the acquired information. This amplifies the role of higher order tensors for modeling, processing, analysis and data-driven inference. The blend of repeated experiments and time dynamics of some data elements necessitates the development of novel data science methods, powerful machine learning techniques, and automated artificial intelligence tools. This short course will present the current state-of-the-art approaches for tensor-based linear modeling and space-kime analytics. We will present a generalized framework for modeling and prediction of scalar, matrix, or tensor outcomes from observed tensor inputs. In addition, we will demonstrate the complex-time (kime) representation of longitudinal data, where the temporal event order is generalized to the (unordered) complex plane. This generalization transformed classical time-series to 2D kime-surfaces. Various biomedical and health applications will be showcased.

DRAFT Agenda


Morning Session (9:00-12:00 US Central Time, GMT-5)

Afternoon Session (13:00-17:00 US Central Time, GMT-5)

Time

Presenter

Topic

Time

Presenter

Topic

9:00-9:15

Ivo Dinov

Welcome & Overview

13:00-13:45

Presenter 3 (Talk)

TBD

9:15-10:00

Presenter 1 (Talk)

TBD

13:45-14:15

Presenter 3 (Demo)

TBD

10:00-10:30

Presenter 1 (Demo)

TBD

14:15-15:00

Presenter 4 (Talk)

TBD

10:30-10:45

Break

15:00-15:10

Break

10:45-11:30

Presenter 2 (Talk)

TBD

15:10-15:40

Presenter 4 (Demo)

TBD

11:30-12:00

Presenter 2 (Demo)

TBD

15:40-16:25

Presenter 5 (Talk)

TBD

12:00-13:00

Break (lunch recess)

16:25-16:55

Presenter 5 (Demo)

TBD



16:55-17:00

Conclusions/Adjourn

Presentations

...TBC...

Topic1

Presenter1
Abstract1

Topic2

Presenter: Miaoyan Wang
Title: Beyond matrices: higher-order tensor methods meet computational biology
Abstract: Higher-order tensors arise frequently in applications such as neuroimaging, recommendation system, social network analysis, and psychological studies. Rapid developments in high-throughput technologies have made multiway data readily available in daily lives. Tensor provides a generalized data structure in many learning procedures. Methods built on tensors provide powerful tools to capture complex structures that lower-order methods fail to exploit. However, the empirical success has uncovered a myriad of new and pressing challenges. In this talk, I will discuss some recent advances and challenges in high-dimensional tensor data algorithms. Potentials of these methods are illustrated through applications to Human Connectome Project (HCP) and Genotype-Tissue Expression (GTEx) datasets.

Topic3

Presenter3
Abstract3

Topic4

Presenter: Anru Zhang
Title: High-dimensional Tensor Learning: Methodology, Theory, and Applications
Abstract: The analysis of tensor data, i.e., arrays with multiple directions, has become an active research topic in the era of big data. Datasets in the form of tensors arise from a wide range of applications, such as neuroimaging, genomics, and computational imaging. Tensor methods also provide unique perspectives to many high-dimensional problems, where the observations are not necessarily tensors. Problems with high-dimensional tensors generally possess distinct characteristics that pose unprecedented challenges; there are strong demands to develop new methods for them.
In this lecture, we specifically focus on how to perform singular value decomposition (SVD), a fundamental task of unsupervised learning, on general tensors or tensors with structural assumptions, e.g., sparsity, smoothness, and longitudinality. Through the developed frameworks, we can achieve accurate denoising for 4D scanning transmission electron microscopy images; in longitudinal microbiome studies, we can extract key components in the trajectories of bacterial abundance, identify representative bacterial taxa for these key trajectories, and group subjects based on the change of bacteria abundance over time. We also illustrate how we develop new methods that exploit useful information from high-dimensional tensor data based on the modern theories of computation and non-convex optimization.

Topic5

Presenter: Ivo Dinov
Title: Time Complexity, Tensor Modeling and Longitudinal Spacekime Analytics
Abstract: Many observable processes demand managing, harmonizing, modeling, analyzing, interpreting, and visualizing of large and complex information. Spacekime analytics uses complex time for modeling high-dimensional longitudinal data. This approach relies on extending the notions of time, events, particles, and wavefunctions to complex-time (kime), complex-events (kevents), data, and inference-functions. We will illustrate how the kime-magnitude (longitudinal time order) and kime-direction (phase) affect the subsequent predictive analytics and the induced scientific inference. The mathematical foundation of spacekime calculus reveal various statistical implications including inferential uncertainty, tensor linear modeling, and a Bayesian formulation of spacekime analytics. Complexifying time allows the lifting of all commonly observed processes from the classical 4D Minkowski spacetime to a 5D spacekime manifold, where a number of interesting mathematical problems arise. Direct data science applications of spacekime analytics will be demonstrated using simulated data and clinical observations (e.g., structural and functional MRI). Joint work with Milen V. Velev (Burgas University, Bulgaria).

Instructors

Maryam Bagherian, University of Michigan, Welch Lab, MIDAS

Dr. Bagherian is a Michigan Data Science Fellow and an expert in applied and computational mathematics. Her research is focused on developing ML/AI algorithms and data science methods, e.g., multidimensional multimodal big data modeling. The primary applications of her work are in biomedical data science, health informatics, and genomic studies. Dr. Bagherian has developed new online tensor recovery and decomposition methods for couple tensors with simultaneous auxiliary information. These techniques are applied to multi-omics, spatial transcriptomics, and genomics datasets.

Miaoyan Wang, Statistics, Wisconsin-Madison

Dr. Miaoyan Wang is an assistant professor of statistics at UW-Madison. She is also a faculty affiliate in the Institute for Foundations of Data Science, a multi-University TRIPODS Phase II Initiative. Her research is in machine learning theory, nonparametric statistics, higher-order tensors, and applications to genetics. Her interdisciplinary research efforts have been reflected in her training. In 2015-2018, she was a postdoc at the Department of EECS at UC Berkeley and a Simons Math+X postdoc at University of Pennsylvania. She received a PhD in Statistics from the University of Chicago in 2015. She has won NSF CAREER award, a Best Student Paper Award (with her as advisor) from American Statistical Association, the Madison Teaching and Learning Excellence Fellow, and multiple prestigious young researcher awards in statistics, machine learning, and genetics. Dr. Wang's Presentation

Raj Guhaniyogi, TAMU

Dr. Rajarshi Guhaniyogi received his PhD in Biostatistics at the University of Minnesota, Twin Cities, under the supervision of Dr. Sudipto Banerjee. He was a Postdoctoral Researcher with Dr. David B. Dunson in the Department of Statistical Science at Duke University prior to joining the Department of Statistics at UC Santa Cruz as an Assistant Professor in 2014. In 2021, Dr. Guhaniyogi was recruited as an Associate Professor in the Department of Statistics at Texas A&M University where he is developing massive dimensional parametric and non-parametric Bayesian methods motivated by improving practical performance in real world applications in batch and online data settings, using statistical theory to justify and guide the development of new methods. Dr. Guhaniyogi research interests lie broadly in development of Bayesian parametric and non-parametric methodology in complex biomedical and machine learning applications. His ongoing research focus is on scalable and distributed Bayesian inference for big data, dimensionality reduction, functional and object data (networks, tensor) analysis. Rajarshi draws his motivation from applications primarily from neuroscience, genetics, epidemiology, environmental science, forestry and social science. Rajarshi is a recipient of the 2016 University of California Hellman Fellowship.

Anru Zhang, Duke

Dr. Anru Zhang is Eugene Anson Stead, Jr. M.D. Associate Professor in the Department of Biostatistics & Bioinformatics and a secondary faculty in the Departments of Computer Science, Mathematics, and Statistical Science at Duke University. He was an assistant professor of statistics at the University of Wisconsin-Madison in 2015-2021. He obtained his bachelor’s degree from Peking University in 2010 and his Ph.D. from the University of Pennsylvania in 2015. His work focuses on high-dimensional statistical inference, non-convex optimization, statistical tensor analysis, computational complexity, and applications in genomics, microbiome, electronic health records, and computational imaging. He received the ASA Gottfried E. Noether Junior Award (2021), a Bernoulli Society New Researcher Award (2021), an ICSA Outstanding Young Researcher Award (2021), and an NSF CAREER Award (2020). Dr. Zhang's presentation.

Ivo Dinov, University of Michigan, SOCR, MIDAS

Dr. Dinov is a professor of Health Behavior and Biological Sciences and Computational Medicine and Bioinformatics at the University of Michigan. He is a member of the Michigan Center for Applied and Interdisciplinary Mathematics (MCAIM) and a core member of the University of Michigan Comprehensive Cancer Center. Dr. Dinov serves as Director of the Statistics Online Computational Resource, Co-Director of the Center for Complexity and Self-management of Chronic Disease (CSCD Center), Co-Director of the multi-institutional Probability Distributome Project, Associate Director of the Michigan Institute for Data Science (MIDAS), and Associate Director of the Michigan Neuroscience Graduate Program (NGP). He is a member of the American Physical Society (APS), American Statistical Association (ASA), International Association for Statistical Education (IASE), American Mathematical Society (AMS), American Association for the Advancement of Science (AAAS), and an Elected Member of the Institutional Statistical Institute (ISI). Dr. Dinov's presentation.

Course evaluation

All participants are strongly encouraged to complete this anonymous course post-evaluation survey.

Resources

Supplementary materials (coming up ...)





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