Applied Math

Organizers:  ryzhik [at] stanford.edu (Lenya Ryzhik) & lexing [at] stanford.edu (Lexing Ying)

For more information and access to abstracts, click here.

 

 

Upcoming Events

Applied Math
Wednesday, April 24, 2024
12:00 PM
|
384H
Elena Kosygina (Baruch College)

In this talk, we shall discuss our recent work which shows that in the periodic homogenization of viscous HJ equations in any spatial dimension the effective Hamiltonian does not necessarily inherit the quasiconvexity property (in the momentum variables) of the original Hamiltonian. Moreover,…

Applied Math
Friday, April 26, 2024
11:00 AM
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384H
Leo Zepeda (Wisconsin-Madison and Google)

The advent of generative AI has turbocharged the development of a myriad of commercial applications, and it has slowly started to permeate to scientific computing. In this talk we discussed how recasting the formulation of old and new problems within a probabilistic approach opens the door to…

Applied Math
Wednesday, May 1, 2024
12:00 PM
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384H
Andrea Montanari (Stanford)

Abstract

Applied Math
Wednesday, May 8, 2024
12:00 PM
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384H
Roman Vershinin (UC Irvine)

Abstract

Applied Math
Wednesday, May 15, 2024
12:00 PM
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384H
Alexei Novikov (Penn State)

Abstract

Applied Math
Wednesday, May 22, 2024
12:00 PM
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384H
Markos Katsoulakis (University of Massachusetts)

Abstract

Applied Math
Friday, May 24, 2024
12:00 PM
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380Y
Knut Solna (UC Irvine)

An interesting phenomenon in optics is that it is possible to see a personbehind a shower curtain better than that person can see us. This effect hasbeen referred to as the shower curtain effect.We address the challenge of giving a mathematical description of thisphenomenon. In addition, we…

Applied Math
Wednesday, May 29, 2024
12:00 PM
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384H
Gautam Iyer (Carnegie Mellon University)

Abstract

Applied Math
Wednesday, June 5, 2024
12:00 PM
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384H
Simona Diaconu (MYU)

Abstract

Past Events

Applied Math
Friday, April 12, 2024
11:00 AM
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384H
Molei Tao (Georgia Tech)

This talk will discuss some nontrivial but often pleasant effects of large learning rates, which are commonly used in machine learning practice for improved empirical performances, but defy traditional theoretical analyses. I will first quantify how large learning rates can help gradient descent…

Applied Math
Wednesday, April 10, 2024
12:00 PM
|
384H
Christophe Gomez (Université Aix-Marseille)

This presentation first discusses the derivation of radiative transfer equations for acoustic waves propagating in a randomly fluctuating half-space in the weak-scattering regime, and the study of boundary effects through an asymptotic analysis of the Wigner transform of the…

Applied Math
Wednesday, April 3, 2024
12:00 AM
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384H
Ethan Epperly (Caltech)

In recent years, researchers have developed a number of fast, randomized algorithms for linear algebra problems. But for widespread deployment of these methods, speed is not enough. To safely incorporate randomized algorithms into general-purpose linear algebra software, we need algorithms which…

Applied Math
Wednesday, March 13, 2024
12:00 PM
|
384H
Lexing Ying (Stanford)

This talk discusses the unstructured sparse recovery problems of a general form. The task is to recover the spike locations and weights of an unknown sparse signal from a collection of its unstructured observations. Examples include rational approximation, spectral function estimation, Fourier…

Applied Math
Wednesday, March 6, 2024
12:30 PM
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384H
Joseph Sloth (Caltech)

Degree-d multivariate polynomials over small finite fields are of central importance in theoretical computer science. And yet they retain many mysteries; for example, their Fourier spectra are very poorly understood. We will discuss the so-called "Fourier growth" of such functions…

Applied Math
Wednesday, February 28, 2024
12:00 PM
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384H
Michael Lindsey (UC Berkeley)

I will present fast practical algorithms for approximate semidefinite programming (SDP) based on regularization by the von Neumann entropy. These approaches are based on a dual formulation of the regularized problem, and dual updates are computed using randomized trace estimators.…

Applied Math
Wednesday, February 21, 2024
12:00 PM
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384H
Federico Pasqualotto (UC Berkeley)

The singularity formation problem is a central question in fluid dynamics, and it is still widely open for several fundamental models, including the 3d incompressible Euler equations. In this talk, I will first review the singularity formation problem, describing how particle transport poses the…

Applied Math
Wednesday, February 14, 2024
12:30 PM
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384H
Antoine Gloria (Université Paris VI)

The large-scale rheology of random suspensions aims at describing how suspensions of small but many objects influence (sometimes drastically) a fluid flow. In physics this is the realm of complex fluids, with well-established phenomenological models. The derivation of such models from the…

Applied Math
Wednesday, February 14, 2024
11:30 AM
|
384H
Mitchell Luskin (University of Minnesota)

Placing a two-dimensional lattice on another with a small rotation gives rise to periodic “moiré” patterns on a superlattice scale much larger than the original lattice.  The Bistritzer-MacDonald (BM) model attempts to capture the electronic properties of twisted bilayer graphene (TBG) by…

Applied Math
Wednesday, January 31, 2024
12:00 PM
|
384H
Paul Milewski (University of Wisconsin)

Nonlinear resonance is a mechanism by which energy is continuously exchanged between a small number of wave modes, and is common to many nonlinear dispersive wave systems. In the context of free-surface gravity waves, nonlinear resonances have been studied extensively over the…