Title : Nonparametric density estimation by B-spline duality Abstract: In this talk, we propose a new nonparametric density estimator derived from the theory of frames and Riesz bases. In particular, we propose the so-called bi-orthogonal density estimator based on the class of B-splines and derive its theoretical properties, including the asymptotically optimal choice of bandwidth.

Title: The Interplay between Deep Learning and Physics Abstract: In my talk, I will discuss the interplay of deep learning and physics. I will focus on both foundational and applied topics, including examples of machine learning applications in high-energy physics. I will discuss interpretability, learning methodology, end-to-end learning, incorporation of physical laws in model building

Title: Bandit change-point detection and its application Abstract: We investigate the problem of bandit change-point problem when monitoring high-dimensional streaming data in resources constrained environments, where one has limited capacity in data acquisition, transmission or processing, and needs decide how to smartly observe which local components or features of high-dimensional streaming data at each and

Mathematical Aspects of Nanoscale Self-Assembly Self-assembly is a fundamental process for creation of both biological and synthetic materials. The latter are being employed in important biotechnological applications like drug delivery, as well as forming the basis for molecular sized machines. Recent advances in nanoscale fabrication in polymer systems, in particular, has lead to growing interest

Title: Sparse domination of commutators via matrix techniques Abstract: In this talk, we will show how one can obtain sparse domination of iterated commutators from a convex body domination of an operator via a simple algebraic trick.  Time permitting, we discuss consequences and related results, such as a bumped Orlicz BMO type sufficient condition for the two

Title: Augmented matched interface and boundary(AMIB) method for elliptic interface problem and a high order fast Poisson solver Abstract: The elliptic interface problem plays an important role in fields such as electromagnetics, bimolecular electrostatics, and material science. This talk introduces augmented matched interface and boundary method that is applied to obtain second order fast solution