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Martin Lotz

Martin Lotz

Concentration of the Intrinsic Volumes of a Convex Body
Dimensionality reduction for k-distance applied to persistent homology
Molecular subtype, biological sex and age shape melanoma tumour evolution
Wilkinson's bus: Weak condition numbers, with an application to singular polynomial eigenproblems
Effective condition number bounds for convex regularization
Persistent homology for low-complexity models
On the error in phase transition computations for compressed sensing
Average-case complexity without the black swans
Intrinsic volumes of polyhedral cones: a combinatorial perspective
On the volume of tubular neighborhoods of real algebraic varieties
Gordon's inequality and condition numbers in conic optimization
Living on the edge: Phase transitions in convex programs with random data
Adversarial smoothed analysis
Coverage processes on spheres and condition numbers for linear programming
The probability that a slightly perturbed numerical analysis problem is difficult
The complexity of computing the Hilbert polynomial of smooth equidimensional complex projective varieties
General formulas for the smoothed analysis of condition numbers
Smoothed analysis of complex conic condition numbers
Counting Complexity Classes for Numeric Computations. III: Complex Projective Sets
Lower bounds on the bounded coefficient complexity of bilinear maps
On the algebraic complexity of some families of coloured Tutte polynomials