4 papers
The Optimal Decoder is Tilted Temperature
Nikolaos Papagiannis, Ananth Grama, Wojciech Szpankowski
Larger sample budgets benefit from higher sampling temperatures in LLMs, but what temperature tuning optimizes and why it works remain poorly understood. We seek to answer these qu…
Homotopy for Rectangular Multiparameter Eigenvalue Problems
Bor Plestenjak, Christof Vermeersch
The rectangular multiparameter eigenvalue problem (rMEP) is a recently introduced form of an eigenvalue problem, in which we are looking for the combinations of parameters where th…
No Free Lunch: Fundamental Limits of Learning Non-Hallucinating Generative Models
Changlong Wu, Ananth Grama, Wojciech Szpankowski
Generative models have shown impressive capabilities in synthesizing high-quality outputs across various domains. However, a persistent challenge is the occurrence of "hallucinatio…
The Trade-off between Privacy and Fidelity via Ehrhart Theory
Arun Padakandla, P. R. Kumar, Wojciech Szpankowski
As an increasing amount of data is gathered nowadays and stored in databases (DBs), the question arises of how to protect the privacy of individual records in a DB even while provi…