Global Guarantees for Enforcing Deep Generative Priors by Empirical Risk. Hand, Voroninski. May 2017. Arxiv e-print .
Compressed sensing from phaseless gaussian measurements via linear programming in the natural parameter space. Hand, Voroninski. November 2016. Arxiv e-print .
A stronger restricted isometry property, with an application to phaseless compressed sensing. Voroninski, Xu. April 2014. Applied and Computational Harmonic Analysis. 40(2), 386-395.
Sparse signal recovery from quadratic measurements via convex programming. Xiaodong Li, V. Voroninski. Sept 2012. SIAM Journal of Mathematical Analysis. 45(5), 3019-3033.
Top 20 most read articles from SIAM Journal of Mathematical Analysis (9/14-9/15).
Towards a mathematical theory of non-convex Burer-Monteiro algorithms for semidefinite programming. Bandeira, Boumal, Voroninski. In preparation.
The non-convex Burer-Monteiro approach works on smooth semidefinite programs. Boumal, Voroninski, Bandeira. May 2016. Accepted to NIPS 2016.
On the low-rank approach for semidefinite programs arising in synchronization and community detection. Bandeira, Boumal, Voroninski. Feb 2016. Accepted to COLT 2016.
Phase retrieval from sum of squares relaxation of empirical risk. Voroninski. In preparation.
Semi-supervised deep learning for lane detection. Achim, Voroninski. In preparation.
Recovering structure from motion problem in computer vision. Basri, Ozyesil, Singer, Voroninski. Survey article in preparation. To appear in Acta Numerica.
ShapeFit and ShapeKick for Robust, Scalable Structure from Motion. Goldstein, Hand, Lee, Voroninski and Soatto. Accepted to ECCV 2016 as an Oral Presentation.
Exact simultaneous recovery of locations and structure from known orientations and corrupted correspondences. Hand, Lee, Voroninski. Sept 2015. To appear in Discrete and Computational Geometry.
ShapeFit: Exact location recovery from corrupted pair-wise directions. Hand, Lee, Voroninski. June 2015. To appear in Communications on Pure and Applied Mathematics.
Determination of all pure quantum states from a minimal number of observables. Mondragon, Voroninski. June 2013. Arxiv e-print.
Quantum tomography from few full rank observables. Voroninski. Jan 2012. ArXiv e-print.
Corruption robust phase retrieval via linear programming. Hand, Voroninski. December 2016. ArXiv e-print.
An elementary proof of phase retrieval in the natural parameter space via the linear program PhaseMax. Hand, Voroninski. November 2016. Arxiv e-print.
Exact and stable phase retrieval via semidefinite programming, Candes, Strohmer, Voroninski. Sept 2011. Communications on Pure and Applied Mathematics, 66, 8, 1241-1274.
Highly cited 2012-2013 article contributing to the 2014 Impact Factors for Mathematics Journals.
Winner of SIAM Student Paper Prize 2013.
Phase retrieval via matrix completion , Candes, Eldar, Strohmer, Voroninski. Aug 2011. SIAM Journal on Imaging Science, 6(1), 199-225 and
SIGEST section of SIAM Review, 57(2), 225-251.
Top 20 most read articles from SIAM Journal on Imaging Science.
Winner of SIAM Outstanding Paper Prize 2014 , and SIAM Review Award 2014.
Second generation micro-vehicle testbed for cooperative control and sensing strategies. Hsieh, Huang, Joshi, Leung, Voroninski, and Bertozzi. 2007 American Control Conference.
Robotic Path Planning and Visibility with Limited Sensor Data. Landa, Galkowski, Huang, Joshi, Lee, Leung, Malla, Treanor, Voroninski, Bertozzi, Tsai. 2007 American Control Conference.
Implementations of control laws for motion camouflage in a pursuit-evasion system. Navasca, Asatryan, Attarian, Huang, Leung, Joshi, Voroninski, Aboulian, McBride. IFIP Conference on Systems Modeling and Optimization. UCLA CAM Report (06-62)
Media
An easy way to learn about my research on phase retrieval is to watch the following To learn about my work on foundations of quantum mechanics and how it relates to Wright's conjecture and the Nash stratification theorem, read the followingOther links related to my research:
Post on phaseless compressed sensing via linear programming. July 2016.
Post on the ShapeFit algorithm on Igor Carron's 'Nuit_Blance'. June 2015.
Citation for AMS-Birkhoff Prize awarded to Emmanuel Candes. 2015.
UCLA Professor and alumni win SIAM prizes, UCLA Math department news, July 2014.
Simons Lecture by Emmanuel Candes at MIT: PhaseLift Exact Phase Via Convex Programming. 2013.
Post on the PhaseLift algorithm on Igor Carron's 'Nuit_Blanche'. Oct 2011.
Links
I was previously a professional rock-climber, ranked in the top 20 in the US for bouldering. Here's a video of me climbing The Mandala (V12) in Bishop, CA. 2005.
My sister is a painter. Check out her art website: Alla Voroninskaya.