Archive of slides and video lectures

SELECTED LECTURES BY NWC FACULTY AND STUDENTS | VIDEOS | NWC SEMINAR | FFT ARCHIVE

SELECTED LECTURES BY NWC FACULTY AND STUDENTS

2018

• Frames and some algebraic forays
  John J. Benedetto - NWC Seminar, Georgetown U. Colloquium
• Constructing Explicit RIP Matrices and the Square-Root Bottleneck
  Ryan Cinoman - Preliminary Oral Exam
• Finite Frame Quantization
  Liam Fowl - Preliminary Oral Exam
• Zak transform analysis of shift-invariant subspaces
  Joey Iverson - NWC Seminar
• Time-Frequency Scattering Transforms: Theory and Applications
  Weilin Li - 7th International Conference on Computational Harmonic Analysis, Vanderbilt University
• Topics in Harmonic Analysis, Sparse Representations, and Data Analysis
  Weilin Li - PhD Defense
• Feature Extraction in Deep Learning and Image Processing
  Yiran Li - PhD Defense
• Constructing Tight Gabor Frames using CAZAC Sequences
  Mark Magsino - AMS Special Session on Recent Advances In Packing, Ohio State University
• Constant Amplitude and Zero Autocorrelation Sequences and Single Pixel Camera Imaging
  Mark Magsino - PhD Defense
• Geometric and Markov Chain Based Methods for Data Analysis
  Danielle Middlebrooks - Preliminary Oral Exam
• Computational Methods in Machine Learning: Transport Model, Haar Wavelet, DNA Classification, and MRI
  Franck Olivier Ndjakou Njeunje - PhD Defense
• HRT Conjecture
  Raymond Schram - Preliminary Oral Exam

2017

• Frames and some algebraic forays
  John J. Benedetto - Colloquium at U. of Buenos Aires
• Super-resolution by means of Beurling minimal extrapolation
  John J. Benedetto - Plenary talk at CIMPA Conference in Buenos Aires on Harmonic Analysis, Geometric Measure Theory, and Applications
• Group frames and the theory of frame multiplication
  John J. Benedetto - Invited talk at Joint Math Meetings (Special Session on Frames and Sampling Theory) in Atlanta
• Super-resolution by means of Beurling minimal extrapolation
  John J. Benedetto - Invited talk at Joint Math Meetings (Special Session on Signal Processing) in Atlanta
• Variational Inference and Deep Generative Models
  Addison Bohannon - Preliminary Oral Exam
• Optimal coherence from finite group actions
  Joey Iverson - NWC Seminar
• On the recovery of measures without separation conditions
  Weilin Li - Applied and Computational Mathematics Seminar, Georgia Institute of Technology
• Distributed Noise Shaping of Signal Quantization
  Kung-Ching Lin - Preliminary Oral Exam
• Measures with Locally Finite Support and Spectrum
  Chenzhi Zhao - Preliminary Oral Exam
• On nonlinear analysis of phase retrieval and deep learning
  Dongmian Zou - Phd Defense

2016

• Phase Retrieval and Analysis of Frames
  Radu Balan - Various seminar and colloquium talks
• Expedition in Data and Harmonic Analysis on Graphs
  Matt Begué - PhD defense
• Spectral Frame Analysis and Learning through Graph Structure
  Chae A. Clark - PhD defense
• On Constant Amplitude Zero Autocorrelation Sequences of length p
  Katherine Cordwell and Mark Magsino - FFT 2016
• Sparse Signal Representation in Digital and Biological Systems
  Matt Guay - PhD defense
• Deep Belief Networks are Compact Universal Approximators
  Franck Olivier Ndjakou Njeunje - Preliminary Oral Exam
• Regularization of the Inverse Laplace Transform with Applications in Nuclear Magnetic Resonance Relaxometry
  Christiana Sabett - Preliminary Oral Exam
• Scattering transform and its applications
  Yiran Li - Preliminary Oral Exam
• Local and global stability of fusion frames
  Jeremy Emidih - Preliminary Oral Exam
• A characterization of shift-invariant spaces on LCA groups
  Shujie Kang - Preliminary Oral Exam

2015

• Graph theoretic uncertainty principles
  John J. Benedetto - SampTA2015
• Frame Theorey: From signal processing and back again - a sampling
  John J. Benedetto - ICHAA2015 - plenary speaker
• Identification of Operators on Elementary Locally Compact Abelian Groups
  Gökhan Civan - PhD defense
• Finite frames and graph theoretic uncertainty principles
  Paul Koprowski - PhD defense
• Multiscale Analysis and Diffusion Semigroups With Applications
  Karamatou Yacoubou Djima - PhD defense
• Anisotropic Harmonic Analysis and Integration of Remotely Sensed Data
  James Murphy - PhD defense
• Preconditioning techniques in frame theory and probabilistic frames
  Kasso Okoudjou - Lecture Notes from AMS Short Course on Finite Frame Theory
• Preconditioning of frames
  Kasso Okoudjou - Colloquium at Central Michigan University
• Multiscale and Directional Representations for High-Dimensional Content in Remotely Sensed Data
  Daniel Weinberg - PhD defense
• Generic Results in Phaseless Reconstruction
  Dongmian Zou - Preliminary Oral Exam

2014

• Frame multiplication theory for vector-valued harmonic analysis
  Travis Andrews - PhD dissertation
• Fourier Analysis on Graphs
  Matthew Begué - Preliminary Oral Exam
• Analysis Meets Graphs
  Matthew Begué - Spotlight on Student Research
• Exploiting Data-Dependent Structure for Improving Sensor Acquisition and Integration
  Alex Cloninger - PhD Defense
  PhD dissertation
• Invariant Subspace Pertubations or How I Learned to Stop Worrying and Love Eigenvectors
  Alex Cloninger - Spotlight on Student Research
• Introduction to Compressive Sensing
  Alex Cloninger - AMSC Student Seminar
• NMR Measurement of T1-T2 Spectgra with Partial Measurements using Compressive Sensing
  Alex Cloninger
• Harmonic Analysis Inspired Data Fusion for Applications in Remote Sensing
  Timothy Doster - PhD dissertation
• Sparse Approximation via Locally Competitive Algorithms
  Matthew Guay - Preliminary Oral Exam
• Narrowing the gap between Pachine Learning and Neuroscience - Part 1, Part 2
  Matthew Guay - Summer Research Presentation
• On the Spectral Synthesis Problem
  James Murphy - SEAM2014 Presentation
• Image Fusion: Beyond Wavelets
  James Murphy - Spotlight on Student Research
• Scalable Frames
  Kasso Okoudjou - Colloquium at American University
• Approximating scalable frames
  Kasso Okoudjou - 5th International Conference on Computational Harmonic Analysis, Vanderbilt University

2013

• The Hunt Variance Gamma Process with Applications to Option Pricing
  Bryant Angelos - PhD dissertation
• Continuous Frames, Co-orbit Spaces, and the Discretization Problem
  James Murphy - Preliminary Oral Exam
• Sampling in image representation and compression
  Alfredo Nava-Tudela - IMA
• Deterministic sampling masks and compressed sensing: Compensation for partial image loss at the pixel level
  Alfredo Nava-Tudela - NASA presentation
• Sampling theory and applications: developments in the last 20 years and future perspectives.
  Hans Feichtinger SampTA13, Bremen
• Data Representation for Learning and Information Fusion in Bioinformatics
  Vinodh Rajapakse - PhD dissertation
• Global Geometric Conditions on Sensing Matrices for the Success of L1 Minimization Algorithm
  Rongrong Wang - PhD dissertation

2012

• The Work of Candés, Romberg, and Tao in Compressive Sensing
  Alex Cloninger - Preliminary Oral Exam
• Image representation and compression via sparse solutions of systems of linear equations
  Alfredo Nava-Tudela - Research Poster
  PhD dissertation

2011

• Balayage of Fourier Transforms and the Theory of Frames
  Enrico Au-Yeung - PhD dissertation
• Constructive digital Harmonic Analysis
  John J. Benedetto - International Conference on Applied Harmonic Analysis and Multiscale Computing at Edmonton, plenary speaker
• Finite frames and non-harmonic Fourier series
  John J. Benedetto
• Balayage and the theory of generalized Fourier frames
  John J. Benedetto and Enrico Au-Yeung - AMS Special Session (New Orleans)
• Sampling: ambiguity, balayage, and classification
  John J. Benedetto - SampTA 2011 Singapore, plenary speaker
• Intrinsic wavelet and frame applications
  John J. Benedetto - SPIE Wavelet Conference, plenary speaker
• Frames: CAZAC sequences and potential theory for sampling and classification
  John J. Benedetto - Harmonic Analysis and Applications Conference for Hans Feichtinger at Strobl, plenary speaker
• CAZAC sequences and Fourier frames
  John J. Benedetto - Shanks Conference at Vanderbilt, invited speaker
• Waveform design and balayage
  John J. Benedetto - The Taibleson Lecture at Washington University, St. Louis
• Extensions of Laplacian Eigenmaps for Manifold Learning
  Avner Halevy - PhD dissertation
• Geometric Structures and Optimization on Spaces of Finite Frames
  Nathaniel Strawn - PhD dissertation

2010

• The Multiplicative Zak Transform, Dimension Reduction, and Wavelet Analysis of LIDAR Data
  Justin Christopher Flake - PhD dissertation
• Sparse Solutions of Linear Systems of Equations and Sparse Modeling of Signals and Images
  Alfredo Nava-Tudela - Preliminary Oral Exam

2009

• The construction of perfect autocorrelation codes
  John J. Benedetto - Wright-Patterson AFB, plenary speaker
• Frames for classification, quantization, and vector-valued codes
  John J. Benedetto - Illinois/Missouri Applied Harmonic Analysis Conference, plenary speaker
• Enumeration of Harmonic Frames and Frame Based Dimension Reduction
  Matthew Hirn - PhD dissertation
• Wavelet and frame theory: frame bound gaps, generalized shearlets, Grassmannian fusion frames, and p-adic wavelets
  Emily King - PhD dissertation

2008

• Frames and a vector-valued ambiguity function
  John J. Benedetto - IEEE invited talk at Asilomar
• Dimensionality reduction for hyperspectral data
  David Widemann - PhD dissertation

2007

• Waveform design and Sigma-Delta quantization
  John J. Benedetto - New Directions in HA at Inzell, plenary speaker
• Wiener's Generalized Harmonic Analysis and Waveform Design
  Somantika Datta - PhD dissertation
• Frame Quantization Theory and Equiangular Tight Frames
  Onur Oktay - PhD dissertation

2006

• Waveform design and Sigma-Delta quantization
  John J. Benedetto
• Beurling Weighted Spaces, Product-Convolution Operators, and the Tensor Product of Frames
  Abdelkrim Bourouihiya - PhD dissertation
• Sigma-Delta Quantization: Number Theoretic Aspects of Refining Quantization Error
  Aram Tangboondouangjit - PhD dissertation

2005

• Finite frames and quantum detection
  John J. Benedetto and Andrew Kebo
• Waveform design and quantum detection matched filtering
  John J. Benedetto
• Quantum Detection and Finite Frames
  Andrew Kebo - PhD dissertation
• Generalized Multiresolution Analysis: Construction and Measure Theoretic Characterization
  Juan Romero - PhD dissertation

2004

• Finite frames with Applications to Sigma-Delta Quantization and MRI
  John J. Benedetto
• Sigma Delta Modulation and Correlation Criteria for the Construction of Finite Frames Arising in Communication Theory
  Joseph Kolesar - PhD Thesis

VIDEOS

• Video lectures from Wavelet course at UMD (Fall 2008)
• Video of lectures from Frames from first principles: Error correction, symmetry goals, and numerical efficiency at the Banff research station (2009)
• Some non-linear frame theoretic problems
  John J. Benedetto - Banff International Research Station (2009)

NWC SEMINARS

• Compressed Sensing for Electron Tomography
  Matthew Guay - February 10, 2015
• Graph Sparsification
  Matthew Begué - February 3, 2015
• Anisotropic Methods for Image Registration
  James Murphy - November 25, 2014

FFT ARCHIVES

• February Fourier Talks 2015
• February Fourier Talks 2014
• February Fourier Talks 2013
• February Fourier Talks 2012
• February Fourier Talks 2011
• February Fourier Talks 2010
• February Fourier Talks 2009