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FESTA: Functionally Equivalent Sampling for Trust Assessment of Multimodal LLMs

arXiv:2509.16648v1 Announce Type: new Abstract: The accurate trust assessment of multimodal large language models (MLLMs) generated predictions, which can enable selective prediction and improve user confidence, is challenging due to the diverse multi-modal input paradigms. We propose Functionally Equivalent Sampling…

Deep Learning as the Disciplined Construction of Tame Objects

arXiv:2509.18025v1 Announce Type: cross Abstract: One can see deep-learning models as compositions of functions within the so-called tame geometry. In this expository note, we give an overview of some topics at the interface of tame geometry (also known as o-minimality),…

AI Assistants to Enhance and Exploit the PETSc Knowledge Base

arXiv:2506.20608v2 Announce Type: replace Abstract: Generative AI, especially through large language models (LLMs), is transforming how technical knowledge can be accessed, reused, and extended. PETSc, a widely used numerical library for high-performance scientific computing, has accumulated a rich but fragmented…