56 citations · 118 across the 12 of their papers we have counts for
5 papers · 1 filter
Topos Causal Models
Sridhar Mahadevan
We propose topos causal models (TCMs), a novel class of causal models that exploit the key properties of a topos category: they are (co)complete, meaning all (co)limits exist, they…
Topos Theory for Generative AI and LLMs
Sridhar Mahadevan
We propose the design of novel categorical generative AI architectures (GAIAs) using topos theory, a type of category that is ``set-like": a topos has all (co)limits, is Cartesian…
GAIA: Categorical Foundations of Generative AI
Sridhar Mahadevan
In this paper, we propose GAIA, a generative AI architecture based on category theory. GAIA is based on a hierarchical model where modules are organized as a simplicial complex. Ea…
Categoroids: Universal Conditional Independence
Sridhar Mahadevan
Conditional independence has been widely used in AI, causal inference, machine learning, and statistics. We introduce categoroids, an algebraic structure for characterizing univers…
On The Universality of Diagrams for Causal Inference and The Causal Reproducing Property
Sridhar Mahadevan
We propose Universal Causality, an overarching framework based on category theory that defines the universal property that underlies causal inference independent of the underlying…