From the 1 of 6 linked papers with an AI index.
6 papers
Uniform Approximation of Functions with Asymmetric Growth and Decay by Deep Weighted Polynomials
Kingsley Yeon, Steven B. Damelin
The paper proposes a class of weighted deep (composite) polynomials that can uniformly approximate functions which grow on one side of the real line and decay on the other, and dem…
Typical-Case Gate Approximation and Arithmetic Obstructions in Quaternionic Single-Qubit Compilation
Kingsley Yeon, Steven B. Damelin, Alec Greene
Fault-tolerant quantum computation requires compiling arbitrary one-qubit unitaries into short words over a fixed gate library. For arithmetic libraries such as the Lubotzky-…
Protein Thoughts: Interpretable Reasoning with Tree of Thoughts and Embedding-Space Flow Matching for Protein-Protein Interaction Discovery
Kingsley Yeon, Xuefeng Liu, Promit Ghosal
Protein-protein interactions (PPIs) govern nearly all cellular processes, yet computational methods for identifying binding partners typically produce ranked predictions without me…
Exponential Convergence of Deep Composite Polynomial Approximation for Cusp-Type Functions
Kingsley Yeon, Steven B. Damelin, Michael Werman
We investigate deep composite polynomial approximations of continuous but non-differentiable functions with algebraic cusp singularities. The functions in focus consist of finitely…
Beyond Low Rank: Fast Low-Rank + Diagonal Decomposition with a Spectral Approach
Kingsley Yeon, Mihai Anitescu
Low-rank plus diagonal (LRPD) decompositions provide a powerful structural model for large covariance matrices, simultaneously capturing global shared factors and localized correct…
BOLT: Block-Orthonormal Lanczos for Trace estimation of matrix functions
Kingsley Yeon, Promit Ghosal, Mihai Anitescu
Efficient matrix trace estimation is essential for scalable computation of log-determinants, matrix norms, and distributional divergences. In many large-scale applications, the mat…