Papers

Preprints

  1. Quantum Energy Regression using Scattering Transforms. With Nicolas Poilvert and Stéphane Mallat. 2015. pdf, arXiv.
  2. 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

  1. A general theorem of existence of quasi absolutely minimal Lipschitz extensionsWith Erwan Le Gruyer. Mathematische Annalen, volume 359, issue 3-4, pages 595-628, August 2014. pdf, arXiv, HAL, Springer.
    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.
  2. Diffusion maps for changing dataWith Ronald R. Coifman. Applied and Computational Harmonic Analysis, volume 36, issue 1, pages 79-107, January 2014. pdf, arXiv, ScienceDirect.
  3. Bi-stochastic kernels via asymmetric affinity functionsWith Ronald R. Coifman. Applied and Computational Harmonic Analysis, volume 35, issue 1, pages 177-180, July 2013. pdf, arXiv, ScienceDirect.
  4. 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.
  5. 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.
  6. 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.
  7. 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.
  8. The refinability of step functions. Proceedings of the American Mathematical Society, volume 136, issue 3, pages 899-908, 2008. pdf, AMS.


Expository Articles

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


Unpublished Articles

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


Dissertation

  1. Enumeration of harmonic frames and frame based dimension reduction. Department of Mathematics, University of Maryland. 2009. pdf.
© Matthew Hirn 2013-2015