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See all journalsInformatics and Applied Mathematics
Compositionality
Compositionality
Founded in 2017, Compositionality welcomes research articles in English in the field of the mathematics of composition across all disciplines. The journal is published by the Compositionality Charitable Incorporated Organisation.
- Director of publication: John Baez
- Editors-in-chief: Aleks Kissinger ; Joachim Kock
- Medium: electronic
- Frequency: annual
- Date created: 2017
- Date of publication on Episciences: 2024
- eISSN: 2631-4444
- Subjects: mathematics, computation, logic, physics, chemistry, engineering, linguistics, cognition
- Language of publication: English
- Review process: single blind peer review
- CC BY 4.0 licence
- Publisher: Compositionality Charitable Incorporated Organisation
- Address: 108 Kennington Road, Kennington, Oxford, OX1 5PE
- Country: United Kingdom
- Contact: compositionality AT episciences.org
Latest articles
Information Decomposition Diagrams Applied beyond Shannon Entropy: A Generalization of Hu's Theorem
In information theory, one major goal is to find useful functions that summarize the amount of information contained in the interaction of several random variables. Specifically, one can ask how the classical Shannon entropy, mutual information, and higher interaction information relate to each other. This is answered by Hu's theorem, which is widely known in the form of information diagrams: it relates shapes in a Venn diagram to information functions, thus establishing a bridge from set theory to information theory. In this work, we view random variables together with the joint operation as a monoid that acts by conditioning on information functions, and entropy as a function satisfying the chain rule of information. This abstract viewpoint allows to prove a generalization of Hu's theorem. It applies to Shannon and Tsallis entropy, (Tsallis) Kullback-Leibler Divergence, cross-entropy, Kolmogorov complexity, submodular information functions, and the generalization error in machine learning. Our result implies for Chaitin's Kolmogorov complexity that the interaction complexities of all degrees are in expectation close to Shannon interaction information. For well-behaved probability distributions on increasing sequence lengths, this shows that the per-bit expected interaction complexity and information asymptotically coincide, thus showing a strong bridge between algorithmic and classical information theory.
Lang, Leon
January 30, 2025
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Homotopy Theoretic and Categorical Models of Neural Information Networks
In this paper we develop a novel mathematical formalism for the modeling of neural information networks endowed with additional structure in the form of assignments of resources, either computational or metabolic or informational. The starting point for this construction is the notion of summing functors and of Segal's Gamma-spaces in homotopy theory. The main results in this paper include functorial assignments of concurrent/distributed computing architectures and associated binary codes to networks and their subsystems, a categorical form of the Hopfield network dynamics, which recovers the usual Hopfield equations when applied to a suitable category of weighted codes, a functorial assignment to networks of corresponding information structures and information cohomology, and a cohomological version of integrated information.
Manin, Yuri
September 06, 2024
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Earth Sciences
jSEDI
[Journal of Studies of the Earth’s Deep Interior]
jSEDI
Journal of Studies of the Earth’s Deep Interior
Founded in 2025, the journal of Studies of the Earth’s Deep Interior is a multidisciplinary journal dedicated to the publication of original English-language research in the geosciences and, more specifically, in the deep Earth. Edited by ENS Éditions, the journal is published annually.
- Director of publication: Emmanuel Trizac
- Editors-in-chief: John Hernlund and Stéphane Labrosse
- Medium: electronic
- Frequency: continuous
- Date created: 2025
- Date of publication on Episciences: 2025
- Subjects: Earth sciences
- Language of publication: English
- Review process: single blind peer review or open peer review
- CC BY 4.0 licence
- Publisher: ENS Éditions
- Address: 15 parvis René Descartes, BP 7000, 69342 Lyon cedex 07
- Country: France
- Contact: jsedi AT episciences.org
Latest articles
Biomechanics
MBJ
[Multidisciplinary Biomechanics Journal]
MBJ
Multidisciplinary Biomechanics Journal
Created in 2024 by the Société de Biomécanique, Multidisciplinary Biomechanics Journal is an annual journal publishing, in English, contributions from the French and French-speaking community in the field of biomechanics.
- Director of publication: Yohan Payan
- Editor-in-chief: Yoann Blache
- Medium: electronic
- Frequency: annual
- Date created: 2024
- Date of publication on Episciences: 2024
- eISSN: 3076-1158
- Subjects: Biomechanics
- Language of publication: English
- Review process: single blind peer review
- CC BY 4.0 licence
- Publisher: Société de Biomécanique
- Address: Ensam, 151 boulevard de l’Hôpital, 75013 Paris
- Country: France
- Contact: mbj AT episciences.org
Latest articles
Assessing jump dynamics through a smartphone video
...
Nicolas Lambricht
January 31, 2025
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