Institute for Mathematical Sciences

Workshop on Frame Theory and Sparse Representation for Complex Data

(29 May - 2 June 2017)

Venue: IMS Auditorium
PDF Abstracts
Organizing Committee:
  • Yiannis Aloimonos (University of Maryland)
  • Say Song Goh (National University of Singapore)
  • Hui Ji (National University of Singapore)
  • Zuowei Shen (National University of Singapore)
  • Yingcun Xia (National University of Singapore)
A sparse representation of input data requires decomposing the data under a "right system" to reduce the data size by orders of magnitude in bulk without negative impact on its important information. Such a system for dimension reduction is often a frame. In the past, frames, particularly wavelet frames, have been one of the main systems used in signal and image processing for compact representation of signals, with many successful applications. In recent years, many new types and quantities of complex datasets have emerged in scientific research, e.g., high dimensional tensor data from bio-imaging sciences, large graph data from social networks, and data on manifolds from brain imaging. This emergence raises many new challenges in frame theory and sparse representation. The aim of this workshop is to bring together researchers in various areas of data sciences (e.g. mathematics, statistics, computer science, and imaging science) to share the latest developments of this diversified field and to leverage on the synergy among different research groups. The workshop will focus on the following topics:
  • Data-driven frame theory and machine learning
  • Frame theory and sparse modeling for graph data and data on manifolds
  • Computational methods for sparse approximation
  • Mathematical understanding on deep learning
  • Applications of sparse modeling in data sciences

Monday, 29 May 2017

08:30am - 08:50amRegistration
08:50am - 09:00amOpening remarks
Hui Ji, National University of Singapore, Singapore
09:00am - 10:00am

Distinguished Visitor Lecture Series:

Overcoming the Curse of Dimensionality for Hamilton-Jacobi equations with Applications to Control and Differential Games

(PDF)

Stanley Osher
University of California, Los Angeles, USA
10:00am - 10:30am--- Group Photo & Coffee Break ---
10:30am - 11:10am

Data recovery on manifolds: a theoretical framework

(PDF)

Yang Wang
The Hong Kong University of Science & Technology, Hong Kong
11:10am - 11:50am

Bi-modality joint image reconstruction and fusion by tight frame

Xiaoqun Zhang
Shanghai Jiaotong University, China
11:50am - 02:00pm--- Lunch Break ---
02:00pm - 03:00pm

Sketchy decisions: low-rank matrix optimization with optimal storage

(PDF)

Joel A. Tropp
California Institute of Technology, USA
03:00pm - 03:30pm--- Coffee Break ---
03:30pm - 04:10pm

Non-convex methods for low-rank matrix reconstruction

(PDF)

Jian-Feng Cai
Hong Kong University of Science and Technology, Hong Kong
04:10pm - 04:50pm

Understanding data from incomplete inter-point distance via locally low-rank matrix completion and geometric PDEs

(PDF)

Rongjie Lai
Rensselaer Polytechnic Institute , USA

Tuesday, 30 May 2017

08:45am - 09:00amRegistration
09:00am - 10:00am

Distinguished Visitor Lecture Series:

What Mathematical Algorithms Can Do For the Real (and Even Fake) World

(PDF)

Stanley Osher
University of California, Los Angeles, USA
10:00am - 10:30am--- Coffee Break ---
10:30am - 11:10am

Toward spatially-varying blind image deconvolution: models and techniques

(PDF)

Hui Ji
National University of Singapore, Singapore
11:10am - 11:50am

Sparse approximation: from image restoration to high dimensional classification

(PDF)

Bin Dong
Peking University, China
11:50am - 02:00pm--- Lunch Break ---
02:00pm - 03:00pm

Artificial intelligence in medicine (AIM)

(PDF)

Steve Jiang
The University of Texas Southwestern Medical Center, USA
03:00pm - 03:30pm--- Coffee Break ---
03:30pm - 04:10pm

Convex and non-convex optimization in image recovery and segmentation

(PDF)

Tieyong Zeng
Hong Kong Baptist University, Hong Kong
04:10pm - 04:50pm

Manifold learning for brain morphological shapes

Anqi Qiu
National University of Singapore, Singapore

Wednesday, 31 May 2017

08:45am - 09:00amRegistration
09:00am - 10:00am

An approach to statistical shape analysis

(PDF)

Fadil Santosa
University of Minnesota, USA
10:00am - 10:30am--- Coffee Break ---
10:30am - 11:10am

Multiscale representation of deformation via Beltrami coefficients

(PDF)

Ronald Lok Ming Lui
The Chinese University of Hong Kong, Hong Kong
11:10am - 11:50am

Multivariate wavelet frames through constant matrix completion via the duality principle

(PDF)

Andreas Heinecke
National University of Singapore, Singapore
11:50am - 02:00pm--- Lunch Reception at IMS ---
02:00pm - 03:00pm

Should one use an educated or uneducated basis?

(PDF)

Hongkai Zhao
University of California, Irvine, USA
03:00pm - 03:30pm--- Coffee Break ---
03:30pm - 04:10pm

Minimizing the difference of L1 and L2 norms with applications

(PDF)

Yifei Lou
The University of Texas at Dallas, USA
04:10pm - 04:35pm

Proximal alternating algorithms in dictionary learning

(PDF)

Chenglong Bao
National University of Singapore, Singapore
04:35pm - 05:00pm

MRA-based wavelet frames and digital Gabor filters

(PDF)

Yufei Zhao
National University of Singapore, Singapore

Thursday, 01 Jun 2017

08:45am - 09:00amRegistration
09:00am - 10:00am

Multiscale high-dimensional learning and deep neural networks

(PDF)

Stéphane Mallat
École Normale Supérieure, France
10:00am - 10:30am--- Coffee Break ---
10:30am - 11:10am

What happened to the representations of perception?

(PDF)

Cornelia Fermüller
University of Maryland, USA
11:10am - 11:50am

Fast computing via recursive dyadic partitioning for statistical dependency

(PDF)

Xiaoming Huo
Georgia Institute of Technology, USA
11:50am - 02:00pm--- Lunch Break ---
02:00pm - 03:00pm

Signal modeling: from convolutional sparse coding to convolutional neural networks

(PDF)

Michael Elad
Technion - Israel Institute of Technology, Israel
03:00pm - 03:30pm--- Coffee Break ---
03:30pm - 04:10pm

Influence prediction for continuous-time information propagation on networks using graph-based Fokker-Planck equation

Haomin Zhou
George Intitute of Technology, USA
04:10pm - 04:35pm

Wavelet frames on the sphere for sparse representations in high angular resolution diffusion imaging

(PDF)

Weiqiang Chen
National University of Singapore, Singapore

Friday, 02 Jun 2017

08:45am - 09:00amRegistration
09:00am - 10:00am

Dual principal component pursuit

René Vidal
John Hopkins University, USA
10:00am - 10:30am--- Coffee Break ---
10:30am - 11:10am

Principal sub-manifolds

(PDF)

Zhigang Yao
National University of Singapore, Singapore
11:10am - 11:50am

The unitary extension principle on locally compact abelian groups

Say Song Goh
National University of Singapore, Singapore
11:50am - 02:00pm--- Lunch Break ---
02:00pm - 02:40pm

Multiresolution analysis and wavelets on hierarchical data trees

(PDF)

Jianzhong Wang
Sam Houston State University, USA
02:40pm - 03:20pm

Spatially distributed systems for signal sampling and reconstruction

(PDF)

Qiyu Sun
University of Central Florida, USA
03:20pm - 03:50pm--- Coffee Break ---
03:50pm - 04:50pm

Image restoration and beyond

Zuowei Shen
National University of Singapore, Singapore