From the 1 of 3 linked papers with an AI index.
3 papers
On the Number of Real Zeros of Random Sparse Polynomial Systems
Alperen A. Ergür, Máté L. Telek, Josué Tonelli-Cueto
The paper derives an upper bound on the expected number of positive real solutions of a random sparse polynomial system, showing it depends only on the number of terms per polynomi…
Reinforcement Learning for Power-Flow Network Analysis
Alperen Ergur, Julia Lindberg, Vinny Miller
The power flow equations are non-linear multivariate equations that describe the relationship between power injections and bus voltages of electric power networks. Given a network…
Beyond Worst-Case Analysis for Symbolic Computation: Root Isolation Algorithms
Alperen A. Ergür, Josué Tonelli-Cueto, Elias Tsigaridas
We introduce beyond-worst-case analysis into symbolic computation. This is an extensive field which almost entirely relies on worst-case bit complexity, and we start from a basic p…