Stefan Steinerberger

activity

20242026

collaborators

20 papers

math.OC2026

Gradient descent with exponentially increasing stepsizes and restarts

FranÃ§ois ClÃ©ment, Stefan Steinerberger

Let $f : R^{d} \to R$ . We consider gradient descent $x_{n + 1} = x_{n} - I ¨ _{n} \nabla f (x_{n})$ , where the stepsize $I ¨ _{n} = I ¨ \cdot e^{r n}$ is exponentially growing…

math.MG2026

A Remark on the Odd Area of Unit Disks

Stefan Steinerberger

Let $F$ be a family of $n$ unit disks in $R^{2}$ with $n$ being odd. We use $\mbox{OA}(F)$ to denote the area of the set of points that is covered by an odd number of disks.…

cs.LG2026

An effective variant of the Hartigan $k$ -means algorithm

FranÃ§ois ClÃ©ment, Stefan Steinerberger

The k-means problem is perhaps the classical clustering problem and often synonymous with Lloyd's algorithm (1957). It has become clear that Hartigan's algorithm (1975) gives bette…

math.AP2026

Slow dispersion in Floquet-Dirac Hamiltonians

Anthony Bloch, Amir Sagiv, Stefan Steinerberger

We study dispersive decay for non-autonomous Hamiltonian systems. While the general theory for dispersion in such non-autonomous systems is largely open, it was shown \cite{kraisle…

math.CA2026

Buffon Discrepancy and the Steinhaus Longimeter

Stefan Steinerberger

Let $I^c ◯ \subset R^{2}$ be a convex set. We study the problem of distributing a one-dimensional set $S$ with total length $L$ so that for any line $ℓ$ in $R^{2}$ the…

math.MG2026

Distance Equilibrium Measures and Curvature in Metric Spaces

Stefan Steinerberger

Let $(X, d)$ be a compact metric space. We consider the behavior of probability measures $I^¼$ with the property that $$ \int_{X} d(x, y) dÎ¼(y) \qquad \mbox{is independent of}~x \in…

Gradient descent with exponentially increasing stepsizes and restarts

A Remark on the Odd Area of Unit Disks

An effective variant of the Hartigan k-means algorithm

Slow dispersion in Floquet-Dirac Hamiltonians

Buffon Discrepancy and the Steinhaus Longimeter

Distance Equilibrium Measures and Curvature in Metric Spaces

An effective variant of the Hartigan $k$ -means algorithm