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New paper explores infinitesimal causality with categorical framework

This paper introduces a novel categorical framework for understanding infinitesimal causality within Frobenius Markov categories. It details how interventions can be viewed as tangent deformations of existing copy/discard structures, interacting with both algebraic and geometric Frobenius properties. The research connects these concepts to Structural Causal Models and Pearl's do-calculus, offering a new perspective on intervention identities and information flow. AI

IMPACT Introduces a new theoretical framework for understanding causality in AI systems.

RANK_REASON The cluster contains a new academic paper on a theoretical topic in AI and mathematics.

Read on arXiv cs.AI →

AI-generated summary · Google Gemini · from 3 sources. How we write summaries →

New paper explores infinitesimal causality with categorical framework

COVERAGE [3]

  1. arXiv cs.AI TIER_1 Italiano(IT) · Sridhar Mahadevan ·

    Infinitesimal Causality

    arXiv:2606.24621v1 Announce Type: cross Abstract: This paper introduces a categorical account of infinitesimal causality in Frobenius Markov categories equipped with tangent-bundle semantics. IDC captures the infinitesimal layer in which interventions act as tangent deformations …

  2. arXiv cs.AI TIER_1 Italiano(IT) · Sridhar Mahadevan ·

    Infinitesimal Causality

    This paper introduces a categorical account of infinitesimal causality in Frobenius Markov categories equipped with tangent-bundle semantics. IDC captures the infinitesimal layer in which interventions act as tangent deformations of copy/discard structure. Two distinct Frobenius …

  3. Hugging Face Daily Papers TIER_1 Italiano(IT) ·

    Infinitesimal Causality

    This paper introduces a categorical account of infinitesimal causality in Frobenius Markov categories equipped with tangent-bundle semantics. IDC captures the infinitesimal layer in which interventions act as tangent deformations of copy/discard structure. Two distinct Frobenius …