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DTSTART;TZID=America/Los_Angeles:20230201T161500
DTEND;TZID=America/Los_Angeles:20230201T173000
DTSTAMP:20260503T092700
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SUMMARY:Building trustworthy data-driven epidemiological models: Application to the COVID-19 outbreak in New York City (Prof. Joan Ponce\, Arizona State University)
DESCRIPTION:Title: Building trustworthy data-driven epidemiological models: Application to the COVID-19 outbreak in New York City\n\n\n\nSpeaker: Joan Ponce\, Department of Mathematics\, Arizona State University\n\nAbstract: Epidemiological models can provide the dynamic evolution of a pandemic but they are based on many assumptions and parameters that have to be adjusted over the time the pandemic lasts. However\, often the available data are not sufficient to identify the model parameters and hence infer the unobserved dynamics. We develop a general framework for building a trustworthy data-driven epidemiological model\, consisting of a workflow that integrates data acquisition and event timeline\, model development\, identifiability analysis\, sensitivity analysis\, model calibration\, model robustness analysis\, and projection with uncertainties in different scenarios.  In particular\, we apply this framework to propose a modified susceptible–exposed–infectious–recovered (SEIR) model\, including new compartments and model vaccination in order to project the transmission dynamics of COVID-19 in New York City (NYC). We find that we can uniquely estimate the model parameters and accurately project the daily new infection cases\, hospitalizations\, and deaths\, in agreement with the available data from NYC’s government’s website. In addition\, we employ the calibrated data-driven model to study the effects of vaccination and timing of reopening indoor dining in NYC.
URL:https://colleges.claremont.edu/ccms/event/prof-joan-ponce/
LOCATION:Argue Auditorium\, Pomona College\, 610 N. College Ave.\, Claremont\, CA\, 91711\, United States
CATEGORIES:Colloquium
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BEGIN:VEVENT
DTSTART;TZID=America/Los_Angeles:20230208T161500
DTEND;TZID=America/Los_Angeles:20230208T173000
DTSTAMP:20260503T092700
CREATED:20230122T180304Z
LAST-MODIFIED:20230206T231015Z
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SUMMARY:The mathematics of neural networks: recent advances\, thoughts\, and the path forward (Prof. Mikhail Belkin\, UCSD)
DESCRIPTION:Title: The mathematics of neural networks: recent advances\, thoughts\, and the path forward \nSpeaker: Prof. Mikhail Belkin\, Department of Mathematics\, University of California San Diego \nAbstract: The recent remarkable practical achievements of neural networks have far outpaced our theoretical understanding of their properties. Yet\, it is hard to imagine that progress can continue indefinitely\, without deeper understanding of their fundamental principles and limitations. In this talk I will discuss some recent advances in the mathematics of neural networks and outline what\, in my opinion\, are some promising directions for future research. \n\n\n\n\n\nMikhail Belkin received his Ph.D. in 2003 from the Department of Mathematics at the University of Chicago. His research interests are in theory and  applications of machine learning and data analysis. Some of his well-known work includes widely used Laplacian Eigenmaps\, Graph Regularization and Manifold Regularization algorithms\, which brought ideas from classical differential geometry and spectral analysis to data science. His recent work has been concerned with understanding remarkable mathematical and statistical phenomena observed in deep learning. This empirical evidence necessitated revisiting some of the basic concepts in statistics and optimization.  One of his key recent findings is the “double descent” risk curve that extends the textbook U-shaped bias-variance trade-off curve beyond the point of interpolation. Mikhail Belkin has served on the editorial boards of the Journal of Machine Learning Research\, IEEE Pattern Analysis and Machine Intelligence and SIAM Journal on Mathematics of Data Science.
URL:https://colleges.claremont.edu/ccms/event/prof-mikhail-belkin/
LOCATION:Argue Auditorium\, Pomona College\, 610 N. College Ave.\, Claremont\, CA\, 91711\, United States
CATEGORIES:Colloquium
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END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/Los_Angeles:20230215T161500
DTEND;TZID=America/Los_Angeles:20230215T173000
DTSTAMP:20260503T092700
CREATED:20230122T180444Z
LAST-MODIFIED:20230209T173448Z
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SUMMARY:Quantum chromatic numbers of products of quantum graphs (Prof. Rolando De Santiago\, Purdue University)
DESCRIPTION:Title: Quantum chromatic numbers of products of quantum graphs \nSpeaker: Rolando De Santiago\, Department of Mathematics\, Purdue University \nAbstract: Quantum graphs are an operator space generalization of classical graphs that have emerged in different branches of mathematics including operator theory\, non-commutative topology and quantum information theory. We provide a brief introduction to quantum graphs and the quantum chromatic number of graphs. We define the lexicographic product of quantum graphs and investigate the quantum chromatic number of the resulting graph products. Additionally\, we discuss our work on developing the b-fold chromatic number for quantum graphs analogous to the classical case. \nThis is joint work with Meenakshi McNamara \n\n\n\n\n\nRolando is an assistant professor of mathematics in the Department of Mathematics at Purdue University. He considers himself a proud product of the LAUSD\, the community college\, and the Cal State systems which set him up to receive his Ph.D. in Mathematics from the University of Iowa in 2017. Afterward\, he went on to do a postdoc at UCLA where he was awarded the UC Presidential Postdoctoral Fellowship in 2018. His research in the structural aspects of group von Neumann algebras sits at the intersection of analysis\, geometric group theory\, representation theory\, and\, on very rare occasions\, quantum information theory.
URL:https://colleges.claremont.edu/ccms/event/prof-rolando-de-santiago/
LOCATION:Argue Auditorium\, Pomona College\, 610 N. College Ave.\, Claremont\, CA\, 91711\, United States
CATEGORIES:Colloquium
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BEGIN:VEVENT
DTSTART;TZID=America/Los_Angeles:20230222T161500
DTEND;TZID=America/Los_Angeles:20230222T173000
DTSTAMP:20260503T092700
CREATED:20230122T180801Z
LAST-MODIFIED:20230213T202959Z
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SUMMARY:Mathematical model for HIV-1 infection with stem cell and immune-therapy (Prof. Noufe Aljahdaly\, King Abdulaziz University / CGU)
DESCRIPTION:Title: Mathematical model for HIV-1 infection with stem cell and immune-therapy \nSpeaker: Noufe Aljahdaly\, Department of Mathematics\, King Abdulaziz University / CGU \nAbstract: The AIDS is a chronic disease. Its most common treatment is the antiretroviral therapy (cART) and the virus can be more effected if the patients stop using cART. The other problem is that the CD8+ T cells might be exhausted by persistent immune activation by cART. The researchers still exert their high efforts to reach the cure of HIV infection. Actually\, there are two cases that have achieved a cure of HIV-1 by stem cell (SC) transplantation who are known as London patient and Berlin patient. In this work\, we introduced the mathematical model of HIV-1 infection with stem cell therapy. The model was studied theoretically and the numerical solution was obtained to understand the effect of SC therapy. Our results realized that the virus of HIV-1 patient remains undetectable in patient blood after SC transplantation for a period of time. Then\, the patient may experience rebound within short period. These results are aligned with two medical cases in the literature. To better understand how London and Berlin patient got a cure by SC therapy while other patients did not achieve the same result\, we improved the mathematical model by taking in account the immune system response. We found that the cure of HIV-1 can be achieved by increasing the immune system response during receiving the SC therapy. \n\n\n\n\n\nNoufe is an associate professor of mathematics in the Department of Mathematics at King Abdulaziz University\, Saudi Arabia. She received her master degree in Mathematics from Oregon state University in 2012 and received her Ph.D. in Mathematics from the University of Alabama in 2017. She is a visiting researcher in CGU since Aug. 2022. Her research in applied mathematics\, mathematical modeling\, fluid dynamic and mathematical computation.
URL:https://colleges.claremont.edu/ccms/event/prof-noufe-aljahdaly/
LOCATION:Argue Auditorium\, Pomona College\, 610 N. College Ave.\, Claremont\, CA\, 91711\, United States
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