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Departmental Distinguished Lecture

14 Friday Jun 2024
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04:00 PM 05:00 PM

Numerical Linear Algebra and Optimization in Machine Learning and Deep Learning

ABSTRACT Machine Learning (ML) is a scientific study of numerical algorithms and statistical models that computer systems use to effectively predict a specific task without using specific human ins...
Venue: Y5-302, Yeung Kin Man Academic Building
15 Monday Apr 2024
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05:00 PM 06:00 PM

Nonlinear Fokker-Planck-Kolmogorov Equations as Gradient Flows on the Space of Probability Measures

ABSTRACT We propose a general method to identify nonlinear Fokker-Planck-Kolmogorov equations (FPK equations) as gradient flows on the space of Borel probability measures on Rd with a natural ...
Venue: LT-10 Yeung Kin Man Academic Building
27 Wednesday Mar 2024
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02:30 PM 03:30 PM

Mean Field Control: Convergence and Approximation

ABSTRACT Mean field control theory addresses control problems set over (controlled) Fokker-Planck equations....
Venue: 1601, Li Dak Sum Yip Yio Chin Academic Building
18 Monday Mar 2024
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02:30 PM 03:30 PM

A direct analytic method leading to Bonnet surfaces

ABSTRACT We characterize the Bonnet surfaces with the single requirement that the mean curvature H of a surface in R^3 admit a reduction to an ordinary differential equation which possesses the Pai...
Venue: Y4302, Yeung Kin Man Academic Building
18 Monday Mar 2024
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02:30 PM 03:30 PM

A direct analytic method leading to Bonnet surfaces

ABSTRACT We characterize the Bonnet surfaces with the single requirement that the mean curvature H of a surface in R^3 admit a reduction to an ordinary differential equation which possesses the Pai...
Venue: Y4302 Yeung Kin Man Academic Building
01 Friday Mar 2024
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11:00 AM 12:00 PM

Lower Eigenvalue Bounds for the Harmoic and Bi-Harmonic Operator

ABSTRACT Recent advances in the nonconforming FEM approximation of elliptic PDE eigenvalue problems include the guaranteed lower eigenvalue bounds (GLB) and its adaptive finite element computation....
Venue: B5-210, Yeung Kin Man Academic Building
27 Tuesday Feb 2024
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02:00 PM 03:00 PM

Theory and practice of self-supervised frame-to-frame video restoration

ABSTRACT Deep-learning techniques represent nowadays the state of the art in image and video restoration....
Venue: B5-210, Yeung Kin Man Academic Building
31 Wednesday Jan 2024
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05:00 PM 06:00 PM

Robust mixed finite element methods for the Biot-Stokes interfacial coupling

ABSTRACT I will discuss discretisations for a fluid-poroelasticity interaction model....
Venue: Online via zoom Registration Link: https://cityu.zoom.us/meeting/register/tJ0lde2orD0jHtOdnAF33jBFYICyDrwN9zpp
13 Wednesday Dec 2023
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04:00 PM 05:00 PM

Symmetry of Hypersurfaces and the Hopf Lemma

ABSTRACT A classical theorem of A.D. Alexandrov asserts that a connected compact smooth hypersurface in Euclidean space with constant mean curvature must be a sphere....
Venue: Y5-302, Yeung Kin Man Academic Building
08 Friday Dec 2023
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04:00 PM 05:00 PM

A Fast Butterfly-compressed Hadamard-Babich Integrator for High-frequency Helmholtz Equations in Inhomogeneous Media

ABSTRACT We present a butterfly-compressed representation of the Hadamard-Babich (HB) ansatz for the Green's function of the high-frequency Helmholtz equation in smooth inhomogeneous media....
Venue: Y5-302, Yeung Kin Man Academic Building