Search Results - "Tull, Sean"

A Categorical Reconstruction of Quantum Theory by Sean Tull

“…We reconstruct finite-dimensional quantum theory from categorical principles. That is, we provide properties ensuring that a given physical theory described by…”
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The Mathematical Structure of Integrated Information Theory by Kleiner, Johannes, Tull, Sean

“…Integrated Information Theory is one of the leading models of consciousness. It aims to describe both the quality and quantity of the conscious experience of a…”
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Two Roads to Classicality by Coecke, Bob, Selby, John, Tull, Sean

“…Mixing and decoherence are both manifestations of classicality within quantum theory, each of which admit a very general category-theoretic construction. We…”
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Editorial: Mathematical and empirical foundations of models of consciousness by Arsiwalla, Xerxes D., Kleiner, Johannes, Tull, Sean, Resende, Pedro, Kremnitzer, Kobi

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Categories of relations as models of quantum theory by Heunen, Chris, Tull, Sean

“…Categories of relations over a regular category form a family of models of quantum theory. Using regular logic, many properties of relations over sets lift to…”
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Space in Monoidal Categories by Enrique Moliner, Pau, Heunen, Chris, Tull, Sean

“…The category of Hilbert modules may be interpreted as a naive quantum field theory over a base space. Open subsets of the base space are recovered as…”
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A Categorical Semantics of Fuzzy Concepts in Conceptual Spaces by Tull, Sean

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Deriving Dagger Compactness by Tull, Sean

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From conceptual spaces to quantum concepts: formalising and learning structured conceptual models by Tull, Sean, Shaikh, Razin A., Zemljič, Sara Sabrina, Clark, Stephen

“…In this article we present a new modelling framework for structured concepts using a category-theoretic generalisation of conceptual spaces, and show how the…”
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A Categorical Semantics of Fuzzy Concepts in Conceptual Spaces by Tull, Sean

“…EPTCS 372, 2022, pp. 306-322 We define a symmetric monoidal category modelling fuzzy concepts and fuzzy conceptual reasoning within G\"ardenfors' framework of…”
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Categorical operational physics by Tull, Sean

“…Many insights into the quantum world can be found by studying it from amongst more general operational theories of physics. In this thesis, we develop an…”
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Monoidal Categories for Formal Concept Analysis by Tull, Sean

“…We investigate monoidal categories of formal contexts, in which states correspond to formal concepts. In particular we examine the category of bonds or Chu…”
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Causal models in string diagrams by Lorenz, Robin, Tull, Sean

“…The framework of causal models provides a principled approach to causal reasoning, applied today across many scientific domains. Here we present this framework…”
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Deriving Dagger Compactness by Tull, Sean

“…EPTCS 318, 2020, pp. 181-195 Dagger compact structure is a common assumption in the study of physical process theories, but lacks a clear interpretation. Here…”
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A Categorical Reconstruction of Quantum Theory by Tull, Sean

“…Logical Methods in Computer Science, Volume 16, Issue 1 (January 17, 2020) lmcs:5076 We reconstruct finite-dimensional quantum theory from categorical…”
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Categorical Operational Physics by Tull, Sean

“…Many insights into the quantum world can be found by studying it from amongst more general operational theories of physics. In this thesis, we develop an…”
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Quotient Categories and Phases by Tull, Sean

“…We study properties of a category after quotienting out a suitable chosen group of isomorphisms on each object. Coproducts in the original category are…”
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The Mathematical Structure of Integrated Information Theory by Kleiner, Johannes, Tull, Sean

“…Integrated Information Theory is one of the leading models of consciousness. It aims to describe both the quality and quantity of the conscious experience of a…”
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Integrated Information in Process Theories by Tull, Sean, Kleiner, Johannes

“…We demonstrate how the key notions of Tononi et al.'s Integrated Information Theory (IIT) can be studied within the simple graphical language of process…”
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Towards Compositional Interpretability for XAI by Tull, Sean, Lorenz, Robin, Clark, Stephen, Khan, Ilyas, Coecke, Bob

“…Artificial intelligence (AI) is currently based largely on black-box machine learning models which lack interpretability. The field of eXplainable AI (XAI)…”
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