Publications | Martin Lotz

Martin Lotz, Michael B McCoy, Ivan Nourdin, Giovanni Peccati, Joel A Tropp

April 2020 Geometric Aspects of Functional Analysis – Israel Seminar (GAFA) 2017-2019

Concentration of the Intrinsic Volumes of a Convex Body

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Shreya Arya, Jean-Daniel Boissonnat, Kunal Dutta, Martin Lotz

March 2020 36th International Symposium on Computational Geometry (SoCG 2020)

Dimensionality reduction for k-distance applied to persistent homology

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Martin Lotz, Timothy Budden, Simon J Furney, Amaya Virós

March 2020 British Journal of Dermatology

Molecular subtype, biological sex and age shape melanoma tumour evolution

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Martin Lotz, Vanni Noferini

March 2020 Foundations of Computational Mathematics

Wilkinson's bus: Weak condition numbers, with an application to singular polynomial eigenproblems

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Dennis Amelunxen, Martin Lotz, Jake Walvin

January 2020 IEEE Transactions on Information Theory 66.4 (2020): 2501-2516

Effective condition number bounds for convex regularization

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Martin Lotz

October 2019 Proceedings of the Royal Society A

Persistent homology for low-complexity models

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Sajad Daei, Farzan Haddadi, Arash Amini, Martin Lotz

June 2019 IEEE Transactions on Information Theory

On the error in phase transition computations for compressed sensing

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Katharina Roeck, Timothy Budden, Stephen P Smith, Sarah Craig, Jean Krutmann, Martin Lotz, Simon Furney, Amaya Viros Eduardo Nagore

March 2019 Cancer Research

Chronic UV damage of the stroma improves melanoma survival

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Dennis Amelunxen, Martin Lotz

August 2017 Journal of Complexity

Average-case complexity without the black swans

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Dennis Amelunxen, Martin Lotz

July 2017 Discrete & Computational Geometry

Intrinsic volumes of polyhedral cones: a combinatorial perspective

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Martin Lotz

May 2015 Proceedings of the American Mathematical Society

On the volume of tubular neighborhoods of real algebraic varieties

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Dennis Amelunxen, Martin Lotz

August 2014 Preprint

Gordon's inequality and condition numbers in conic optimization

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Dennis Amelunxen, Martin Lotz, Michael B McCoy, Joel A Tropp

June 2014 Information and Inference: A Journal of the IMA

Living on the edge: Phase transitions in convex programs with random data

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Peter Bürgisser, Felipe Cucker, Martin Lotz

January 2010 The Annals of Probability

Coverage processes on spheres and condition numbers for linear programming

Felipe Cucker, Raphael Hauser, Martin Lotz

January 2010 Journal of Complexity

Adversarial smoothed analysis

Peter Bürgisser, Felipe Cucker, Martin Lotz

January 2008 Mathematics of Computation

The probability that a slightly perturbed numerical analysis problem is difficult

Peter Burgisser, Martin Lotz

January 2007 Foundations of Computational Mathematics

The complexity of computing the Hilbert polynomial of smooth equidimensional complex projective varieties

Peter Bürgisser, Felipe Cucker, Martin Lotz

January 2006 Journal de mathématiques pures et appliquées

Smoothed analysis of complex conic condition numbers

Peter Bürgisser, Felipe Cucker, Martin Lotz

January 2006 Comptes Rendus Mathematique

General formulas for the smoothed analysis of condition numbers

Peter Bürgisser, Felipe Cucker, Martin Lotz

January 2005 Foundations of Computational Mathematics

Counting Complexity Classes for Numeric Computations. III: Complex Projective Sets

Martin Lotz, Johann A Makowsky

January 2004 Advances in Applied Mathematics

On the algebraic complexity of some families of coloured Tutte polynomials

Peter Bürgisser, Martin Lotz

January 2004 Journal of the ACM (JACM)