Alexander Cloninger

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Department of Mathematics,
University of California at San Diego
Office: AP&M 5747
Email: acloninger (at) ucsd (dot) edu

Research Areas

Deep Learning

  • “Variational Random Walk Autoencoders.” Arxiv: 1905.12724, 2019. (with Henry Li, Ofir Lindenbaum, Xiuyuan Cheng)

  • “PT-MMD: A novel statistical framework for the evaluation of generative systems.” Preprint, 2019. (with Alexander Potapov, Ian Colbert, Dhiman Sengupta, Ken Kreutz-Delgado, Srinjoy Das)

  • “DeepSurv: Personalized treatment recommender system using A Cox proportional hazards deep neural network.” Biomedical Research Methodology, 2018. (with Jared Katzman, Uri Shaham, Jonathan Bates, Tingting Jiang, Yuval Kluger)

  • “Provable approximation properties for deep neural networks.” Applied and Computational Harmonic Analysis, 2017. (with Uri Shaham, Raphy Coifman)

  • “Diffusion Nets.” Applied and Computational Harmonic Analysis, 2017. (with Gal Mishne, Uri Shaham, Israel Cohen)

  • “Bigeometric organization of deep nets.” Applied and Computational Harmonic Analysis, 2017. (with Nicholas Downing, Harlan Krumholz, Raphy Coifman)

Distances Between Distributions

  • “Classification Logit Two-sample Testing by Neural Networks.” Arxiv: 1909.11298, 2019. (with Xiuyuan Cheng)

  • “A witness function based construction of discriminative models using Hermite polynomials.” Arxiv: 1901.02975, 2019. (with Hrushikesh Mhaskar, Xiuyuan Cheng)

  • “Bounding the Error From Reference Set Kernel Maximum Mean Discrepancy.” Arxiv: 1812.04594, 2018.

  • “Two-sample statistics based on anisotropic kernels.” Information and Inference, 2019. (with Xiuyuan Cheng, Raphy Coifman)

  • “People mover's distance: Class level geometry using fast pairwise data adaptive transportation costs.” Applied and Computational Harmonic Analysis, 2018. (with Brita Roy, Carley Riley, Harlan Krumholz)

Kernel Embeddings

  • “On the Dual Geometry of Laplacian Eigenfunctions.” Experimental Mathematics, 2019. (with Stefan Steinerberger)

  • “The pre-image problem for Laplacian Eigenmaps utilizing L 1 regularization with applications to data fusion.” Inverse Problems, 2017. (with Tim Doster, Wojciech Czaja)

  • “Function Driven Diffusion for Personalized Counterfactual Inference.” Arxiv: 1610.10025, 2017.

  • “A note on Markov normalized magnetic eigenmaps.” Applied and Computational Harmonic Analysis, 2017.

  • “Spectral echolocation via the wave embedding.” Applied and Computational Harmonic Analysis, 2017. (with Stefan Steinerberger)

  • “Eigenvector localization on data-dependent graphs.” International Conference on Sampling Theory and Applications (SampTA), 2015. (with Wojciech Czaja)

  • “Multimodal Data Fusion via Graph-and Operator-based Techniques.” Hyperspectral Imaging and Sounding of the Environment, 2015. (with Tim Doster, Wojciech Czaja)

  • “Operator analysis and diffusion based embeddings for heterogeneous data fusion.” IEEE Geoscience and Remote Sensing Symposium, 2014. (with Tim Doster, Wojciech Czaja)

  • “Operator based integration of information in multimodal radiological search mission with applications to anomaly detection.” SPIE, 2014. (with John Benedetto, Wojciech Czaja, Tim Doster, Kevin Kochersberger, Ben Manning, Tom McCullough, Lance McLane)

  • “LIDAR image recovery by incorporating heterogeneous imaging modalities.” SPIE, 2014. (with Wojciech Czaja)

  • “A case study on data fusion with overlapping segments.” IEEE Applied Imagery Pattern Recognition Workshop (AIPR), 2013. (with Tim Doster, Wojciech Czaja)

Medical Applications

  • “Outcome Based Matching.” Arxiv: 1712.05063, 2018. (with Jonathan Bates)

  • “Describing the performance of US hospitals by applying big data analytics.” PloS One, 2017. (with Nicholas Downing, Arjun Venkatesh, Angela Hsieh, Elizabeth Drye, Raphy Coifman, Harlan Krumholz)

  • “2D sparse sampling algorithm for ND Fredholm equations with applications to NMR relaxometry.” International Conference on Sampling Theory and Applications (SampTA), 2015. (with Ariel Hafftka, Hasan Celik, Wojciech Czaja, Richard Spencer)

  • “Efficient 2D MRI relaxometry using compressed sensing.” Journal of Magnetic Resonance, 2015. (with Ruiliang Bai, Wojciech Czaja, Peter Basser)

  • “Solving 2D Fredholm integral from incomplete measurements using compressive sensing.” SIAM Journal on Imaging Sciences, 2014. (with Ruiliang Bai, Peter Basser, Wojciech Czaja)

Miscellaneous

  • “Data Sampling for Graph Based Unsupervised Learning: Convex and Greedy Optimization.” Arxiv: 1906.01021, 2019. (with Saeed Vahidian, Baharan Mirzasoleiman)

  • “Prediction models for graph-linked data with localized regression.” SPIE, 2017.

  • “On suprema of autoconvolutions with an application to Sidon sets.” Proceedings of the American Mathematical Society, 2017. (with Stefan Steinerberger)

  • “Hildreth’s algorithm with applications to soft constraints for user interface layout.” Journal of Computational and Applied Mathematics, 2015. (with Noreen Jamil, Xuemei Chen)

  • “A general formula for reactant conversion over a single catalyst particle in TAP pulse experiments.” Chemical Engineering Science, 2009. (with Renato Feres, Grigoriy Yablonsky, John Gleaves)