S. Steinerberger

activity

20122026

most citedEfficient Algorithms for t-distributed Stochastic Neighborhood Embedding

607 citations · 834 across the 123 of their papers we have counts for

collaborators

177 papers

math.CA2026

A set of points on the sphere with small Riesz energy

Stefan Steinerberger

We construct a set of points ${x_{1}, \dots, x_{n}} \subset S^{2}$ such that $$ \sum_{i \neq j} \frac{1}{\|x_i - x_j\|^2} \leq \frac{n^2 \log{n}}{4} + cn^2 + O(n^{1…

math.CO2024

A Note on Approximate Hadamard Matrices

Stefan Steinerberger

A Hadamard matrix is a scaled orthogonal matrix with $\pm 1$ entries. Such matrices exist in certain dimensions: the Hadamard conjecture is that such a matrix always exists when $n…

math.FA2024

Bad Science Matrices

Stefan Steinerberger

Inspired by the bad scientist who keeps repeating an experiment 20 times to get a single outcome with $p < 0.05$ , we consider matrices $A \in R^{n \times n}$ whose rows ar…

math.DS2024

Nonlinear recursions on the reals and a problem of Graham

Stefan Steinerberger

We study sequences $(x_{n})_{n = 1}^{\infty}$ of reals given by $x_{n + 1} = f (x)$ where $f (x) = x - i = 1 \sum m \frac{α _{i}}{x - β _{i}},$ where $α_{1}, \dots, α_{m} \in R_{> 0}$ an…

math.NT2024

Sums of square roots that are close to an integer

Stefan Steinerberger

Let $k \in N$ and suppose we are given $k$ integers $1 \leq a_{1}, \dots, a_{k} \leq n$ . If $a_{1} + \dots + a_{k}$ is not an integer, how close can it be to one? Wh…

math.PR2023★ 1 cited

Random Growth via Gradient Flow Aggregation

Stefan Steinerberger

We introduce Gradient Flow Aggregation (GFA), a random growth model. Given a set of existing particles ${x_{1}, \dots, x_{n}} \subset R^{2}$ , a new particle arrives…