**Preprints**

**Quantum Energy Regression using Scattering Transforms**. With Nicolas Poilvert and Stéphane Mallat. 2015. pdf, arXiv.**Computing minimal interpolants in C^{1,1}(R^d)**. With Ariel Herbert-Voss and Frederick McCollum. Submitted to*Revista Matemática Iberoamericana*, 2015. pdf, arXiv.

**Research Articles**

**A general theorem of existence of quasi absolutely minimal Lipschitz extensions***.*With Erwan Le Gruyer.*Mathematische Annalen,*volume 359, issue 3-4, pages 595-628, August*N.B. The published version of the paper in Mathematische Annalen has an error in Example 2.4.3. Namely, alpha-Hölder functions, for alpha stricly less than one, do not satisfy (P3). Thus one cannot conclude that quasi-AMLEs exist in this case. The error has been corrected in the online version of the paper on this website, as well as on arXiv.***Diffusion maps for changing data**.*With Ronald R. Coifman.**Applied and Computational Harmonic Analysis*, volume 36, issue 1, pages 79-107, January 2014. pdf, arXiv, ScienceDirect.**Bi-stochastic kernels via asymmetric affinity functions**.*With Ronald R. Coifman.**Applied and Computational Harmonic Analysis*, volume 35, issue 1, pages 177-180, July 2013. pdf, arXiv, ScienceDirect.**Sparse endmember extraction and demixing**. With Martin Ehler. In*Proceedings of the IEEE 2012 International Geoscience and Remote Sensing Symposium*, pages 1385-1388, Munich, Germany, July 22-27, 2012. pdf, IEEE Xplore.**The number of harmonic frames of prime order**.*Linear Algebra and Its Applications*, volume 432, issue 5, pages 1105-1125, February 2010. pdf, arXiv, ScienceDirect.**Wavelet packets for multi- and hyper-spectral imagery**. With John J. Benedetto, Wojciech Czaja, Martin Ehler and Justin C. Flake. In*Proceedings of IS&T/SPIE Electronic Imaging 2010, Wavelet Applications and Industrial Processing VII*, volume 7535, San Jose, California, January 2010. pdf, SPIE.**Frame based kernel methods for automatic classification in hyperspectral data**. With John J. Benedetto, Wojciech Czaja and Justin C. Flake. In*Proceedings of the IEEE 2009 International Geoscience and Remote Sensing Symposium*, volume 4, pages 697-700, Cape Town, South Africa, July 12-17, 2009. pdf, IEEE Xplore.**The refinability of step functions**.*Proceedings of the American Mathematical Society*, volume 136, issue 3, pages 899-908, 2008. pdf, AMS.

**Expository Articles**

**Distinguished lecture series: Assaf Naor on the Lipschitz extension problem**.*Fields Notes*, volume 12, issue 3, page 14, winter 2013. pdf, Fields.

**Unpublished Articles**

**Algorithms for computing the optimal Lipschitz constant of interpolants with Lipschitz derivative**. 2013. pdf, arXiv.*N.B. All material in this paper is contained in “Computing minimal interpolants in C^{1,1}(R^d)."***Frames for subspaces of C^N**. With David Widemann. 2007. pdf, arXiv.

**Dissertation**

**Enumeration of harmonic frames and frame based dimension reduction**. Department of Mathematics, University of Maryland. 2009. pdf.