Search results

Abstract AIs are increasingly involved in the information processing processes from which we elaborate our beliefs. Under these conditions, it is legitimate to ask under what circumstances it is legitimate to consider that such processes are reliable and …

Abstract Starting from the idea that an epistemological shift from the identification of causes to spaces of massive data saturated with strong correlations characterizes both most of the algorithms encircling our lives - such as recommendation algorithms …

Abstract The linguistic and other productions of certain artificial intelligences are becoming increasingly similar to human productions. In this context, it often seems appropriate to attribute intentional states to these programs. Nevertheless, such an …

Abstract The latest advances in generative AI are based on a technique called "Chain of Thought" (CoT), which involves making the machine "think" before responding. This was originally a strategy used in queries addressed to classic Large Language Models …

Abstract The logic of higher categories (or ∞-categories) is a variation of type theory, which is homotopic in nature and in which the notion of category is the primitive concept - the one that is never defined! An adequate generalization of Voevodsky's …

Abstract Large Language Models (LLMs) seem capable of sustaining discussion on all kinds of topics. There are three possible reactions to this observation. We can attribute to LLMs a form of intelligence, which includes a certain understanding of the …

Abstract In this talk, we will discuss the current state of the formalization of modern number theory in mathlib, the mathematical library of Lean. We will highlight recent advancements, key challenges that have been addressed, and the broader …

Abstract Computer-aided proof is attracting an ever-wider audience. Hitherto over-represented in the field of computer science, where it was born, it has begun to arouse a certain enthusiasm among mathematicians. However, the two   communities do not …

Abstract As is the case in the literature, the addition of a mathematical concept to a corpus of formal libraries typically gives rise to several variants of definitions, most often equivalent but not always. Unfortunately, transposing the formal theorem …

Abstract I'll report on a project I'm carrying out with María-Inés de Frutos Fernández to formalize the theory of divided powers. Discovered by Cartan in a context of algebraic topology, this algebraic tool was developed in the 1960s by Roby and is at the …

Abstract This talk will present recent advances in therapeutic and biosensing materials, with a focus on translational pipelines for clinical application. We have developed scalable fabrication methods to create complex 3D architectures and …