3 papers
math.HO2026
Optimal Play, Nontransitivity, and Nash Equilibria in Dice Bingo
David J. Hemmer, Benjamin W. Ong
We study Dice Bingo, a game in which players fill a bingo board whose entries are possible sums of two fair dice. After each roll, a player marks one matching square, an…
stat.ML2025
An Incremental Non-Linear Manifold Approximation Method
Praveen T. W. Hettige, Benjamin W. Ong
Analyzing high-dimensional data presents challenges due to the "curse of dimensionality'', making computations intensive. Dimension reduction techniques, categorized as linear or n…
math.OC2022
QN Optimization with Hessian Sample
Joy Azzam, Daniel Henderson, Benjamin Ong +1
This article explores how to effectively incorporate curvature information generated using SIMD-parallel forward-mode Algorithmic Differentiation (AD) into unconstrained Quasi-Newt…