2 papers
math.NA2026
Generalized Inverses of Matrix Products: From Fundamental Subspaces to Randomized Decompositions
MichaÅ P. Karpowicz, Gilbert Strang
We investigate the Moore-Penrose pseudoinverse and generalized inverse of a matrix product to establish a unifying framework for generalized and randomized matrix inverses.…
stat.ML2025
On the Fundamental Impossibility of Hallucination Control in Large Language Models
MichaÅ P. Karpowicz
Large language models hallucinate. This paper shows when that is unavoidable and what we can do about it. We model inference as an auction of ideas, in which a model's components,…