10 citations · 13 across the 5 of their papers we have counts for
7 papers
Evaluating LLM Generated Detection Rules in Cybersecurity
Anna Bertiger, Bobby Filar, Aryan Luthra +4
LLMs are increasingly pervasive in the security environment, with limited measures of their effectiveness, which limits trust and usefulness to security practitioners. Here, we pre…
An equivariant quantum Pieri rule for the Grassmannian on cylindric shapes
Anna Bertiger, Dorian Ehrlich, Elizabeth Milićević +1
The quantum cohomology ring of the Grassmannian is determined by the quantum Pieri rule for multiplying by Schubert classes indexed by row or column-shaped partitions. We provide a…
Link prediction in dynamic networks using random dot product graphs
Francesco Sanna Passino, Anna S. Bertiger, Joshua C. Neil +1
The problem of predicting links in large networks is an important task in a variety of practical applications, including social sciences, biology and computer security. In this pap…
Spectral embedding of weighted graphs
Ian Gallagher, Andrew Jones, Anna Bertiger +2
When analyzing weighted networks using spectral embedding, a judicious transformation of the edge weights may produce better results. To formalize this idea, we consider the asympt…
The Orbits of the Symplectic Group on the Flag Manifold
Anna Bertiger
We examine the orbits of the (complex) symplectic group, , on the flag manifold, , in a very concrete way. We use two approaches: we Gröbner…
Generating the Ideals Defining Unions of Schubert Varieties
Anna Bertiger
This note computes a Gröbner basis for the ideal defining a union of Schubert varieties. More precisely, it computes a Gröbner basis for unions of schemes given by northwest rank c…
Equivariant Quantum Cohomology of the Grassmannian via the Rim Hook Rule
Anna Bertiger, Elizabeth Milićević, Kaisa Taipale
A driving question in (quantum) cohomology of flag varieties is to find non-recursive, positive combinatorial formulas for expressing the product of two classes in a particularly n…