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20222026
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math.CT2026

Infinitesimal Causality

Sridhar Mahadevan

Interventions can be varied continuously in many causal models. Differentiating a specified smooth intervention protocol produces vector fields on a statistical model, and their Li…

cs.LG2026

Latent Confounded Causal Discovery via Lie Bracket Geometry

Sridhar Mahadevan

We study causal discovery from observational and interventional regimes when latent variables may affect the measured system. Our first algorithm, BRIDGE (Bracket Residuals for Int…

stat.ME2026

Causal Density Functions

Sridhar Mahadevan

We study the full density ratio between a specified intervention regime and an observational regime , , under the prerequisite . We call the r…

cs.LG2026

Learning in Infinitesimal Non-Compositional Sketches

Sridhar Mahadevan

This paper develops a categorical framework -- Learning in Infinitesimal Non-Compositional Sketches (LINCS) -- as the repair of non-compositionality: failures of diagrams to factor…

cs.LG2026

Agentic Skill Optimization over Lie Algebroids

Sridhar Mahadevan

Agentic systems increasingly improve themselves by editing skills: prompts, rubrics, plans, tool contracts, examples, validators, and traces. Skill edits are not independent coordi…

cs.AI2026

Odyssey: Constructing Verifiable Local Truth-Preserving Foundation Models

Sridhar Mahadevan

We introduce a categorical framework called ODYSSEY for constructing verifiable, local truth-preserving foundation models as compositions of foundries: building-block architectural…

cs.AI2026

PROMETHEUS: Automating Deep Causal Research Integrating Text, Data and Models

Sridhar Mahadevan

Large language models can extract local causal claims from text, but those claims become more useful when organized as persistent, navigable world models rather than as flat summar…

cs.LG2026

Universal Decision Learners

Sridhar Mahadevan

Many theories of decision making -- planning, reinforcement learning, causal intervention, online learning, and game-theoretic equilibrium -- turn local information into globally c…