Living on the edge: Phase transitions in convex programs with random data D Amelunxen, M Lotz, MB McCoy, JA Tropp Information and Inference: A Journal of the IMA 3 (3), 224-294, 2014 | 552 | 2014 |
Living on the edge: A geometric theory of phase transitions in convex optimization D Amelunxen, M Lotz, MB McCoy, JA Tropp CALIFORNIA INST OF TECH PASADENA DEPT OF COMPUTING AND MATHEMATICAL SCIENCES, 2013 | 116 | 2013 |
Intrinsic volumes of polyhedral cones: a combinatorial perspective D Amelunxen, M Lotz Discrete & Computational Geometry 58, 371-409, 2017 | 54 | 2017 |
The probability that a slightly perturbed numerical analysis problem is difficult P Bürgisser, F Cucker, M Lotz Mathematics of Computation 77 (263), 1559-1583, 2008 | 40 | 2008 |
Smoothed analysis of complex conic condition numbers P Bürgisser, F Cucker, M Lotz Journal de mathématiques pures et appliquées 86 (4), 293-309, 2006 | 38 | 2006 |
Coverage processes on spheres and condition numbers for linear programming P Bürgisser, F Cucker, M Lotz | 33 | 2010 |
Lower bounds on the bounded coefficient complexity of bilinear maps P Bürgisser, M Lotz Journal of the ACM (JACM) 51 (3), 464-482, 2004 | 32 | 2004 |
On the algebraic complexity of some families of coloured Tutte polynomials M Lotz, JA Makowsky Advances in Applied Mathematics 32 (1-2), 327-349, 2004 | 29 | 2004 |
Effective condition number bounds for convex regularization D Amelunxen, M Lotz, J Walvin IEEE Transactions on Information Theory 66 (4), 2501-2516, 2020 | 28* | 2020 |
Molecular subtype, biological sex and age shape melanoma tumour evolution M Lotz, T Budden, SJ Furney, A Virós British Journal of Dermatology 184 (2), 328-337, 2021 | 24 | 2021 |
Average-case complexity without the black swans D Amelunxen, M Lotz Journal of Complexity 41, 82-101, 2017 | 23 | 2017 |
Wilkinson’s bus: Weak condition numbers, with an application to singular polynomial eigenproblems M Lotz, V Noferini Foundations of Computational Mathematics 20 (6), 1439-1473, 2020 | 22 | 2020 |
On the volume of tubular neighborhoods of real algebraic varieties M Lotz To appear in Proceedings of the AMS, 2012 | 21 | 2012 |
Counting Complexity Classes for Numeric Computations. III: Complex Projective Sets P Bürgisser, F Cucker, M Lotz Foundations of Computational Mathematics 5 (4), 351-387, 2005 | 20* | 2005 |
The complexity of computing the Hilbert polynomial of smooth equidimensional complex projective varieties P Burgisser, M Lotz Foundations of Computational Mathematics 7, 59-86, 2007 | 19 | 2007 |
Concentration of the intrinsic volumes of a convex body M Lotz, MB McCoy, I Nourdin, G Peccati, JA Tropp Geometric Aspects of Functional Analysis: Israel Seminar (GAFA) 2017-2019 …, 2020 | 18 | 2020 |
On the error in phase transition computations for compressed sensing S Daei, F Haddadi, A Amini, M Lotz IEEE Transactions on Information Theory 65 (10), 6620-6632, 2019 | 15 | 2019 |
General formulas for the smoothed analysis of condition numbers P Bürgisser, F Cucker, M Lotz Comptes Rendus Mathematique 343 (2), 145-150, 2006 | 15 | 2006 |
Persistent homology for low-complexity models M Lotz Proceedings of the Royal Society A 475 (2230), 20190081, 2019 | 12 | 2019 |
Mathematics of machine learning M Lotz Lecture notes (accessed 2021-03-30), 2018 | 7 | 2018 |