Daniel Kaslovsky

I am interested in high-dimensional data analysis. Specifically, I am investigating geometric approaches to understanding, representing, and processing very large and high-dimensional data sets. This work combines techniques and concepts from geometry and probability in high dimension, linear algebra, and statistics. My thesis advisor is Professor Francois Meyer.

Our recent work focuses on discovering optimal parameterizations for manifold-valued data by recovering accurate tangent plane approximations from noisy manifold samples. A direct application of this research is to image processing, where we are developing novel algorithms that exploit the geometry inherent in a set of image patches when represented as data points in a high-dimensional space.

Related and other research interests include sparse representation and adaptive decompositions, compressive sensing, fast randomized algorithms, machine learning, and nonstationary signal analysis with Empirical Mode Decomposition (EMD).

I am also an NSF-IGERT fellow in Computational Optical Sensing and Imaging (COSI).

For more detailed information, please see my C.V. [PDF]

Optimal Tangent Plane Recovery From Noisy Manifold Samples
Kaslovsky, D.N. and Meyer, F.G.
Submitted (57 pgs).
[journal] [arXiv] [code - available soon]

Noise Corruption of Empirical Mode Decomposition and Its Effect on Instantaneous Frequency
Kaslovsky, D.N. and Meyer, F.G.
Advances in Adaptive Data Analysis. Vol. 2, No. 3 (2010) 373-396.
[journal] [arXiv] [postprint]

I am not currently teaching at this time. I have previously been a TA for the following courses:
(See my FCQ evaluations.)

* APPM1350 (Calculus I for Engineers), Spring 2008
* APPM2350 (Calculus III for Engineers), Fall 2007, Summer 2008
* APPM2360 (Differential Equations with Linear Algebra), Fall 2008
* APPM2460 (Differential Equations Lab), Fall 2008

I am originally from upstate New York, and have also lived in Florida, Connecticut, New Mexico, and Colorado. I have a Bachelor's degree in Computer Science from Colgate University. I also have a Master's degree in Sports Management from the University of Florida (Go Gators!) and briefly worked at a sports sponsorship agency before returning to graduate school.

When not in the Engineering Center, I am interested in sports, very spicy food, biking around Boulder, having my heart broken by the New York Mets, and generally making an attempt to take advantage of the beautiful area in which I live.