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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
Read articleHomotopy 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
Read articleBiomechanics
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
Physics
OPS
[Open Plasma Science]
OPS
Open Plasma Science
Created in 2023,Open Plasma Science is a peer-reviewed journal supported by the University of Lorraine. It publishes articles in English covering plasma science in the broadest sense, from fusion plasmas to high- and low-pressure discharge plasmas, from plasma-surface or plasma-liquid interactions to turbulence in plasmas, from propulsion to manufacturing processes using plasmas.
- Director of publication: Hélène Boulanger
- Editor-in-chief: Jérôme Moritz
- Medium: electronic
- Frequency: continuous
- Date created: 2023
- Date of publication on Episciences: 2023
- eISSN: 3076-1468
- Subject: plasma physics
- Language of publication: English
- Review process: single blind peer review
- CC BY 4.0 licence
- Publisher: Université de Lorraine
- Address: Institut Jean Lamour,Campus Artem, 2 allée André Guinier, BP 50840, 54011 Nancy Cedex
- Country: France
- Contact: ops AT episciences.org
Latest articles
FEQIS: A free-boundary equilibrium solver for integrated modeling of tokamak plasmas
A new axisymmetric equilibrium solver has been written, called FEQIS (Flexible EQuIlibrium Solver), which purpose is to be used inside integrated modeling of tokamak plasmas. The FEQIS code solves the Grad-Shafranov equation and the "circuit" equations for the external coils and passive conducting structures that are toroidally connected. The code has been specifically equipped with flexibility in choice of circuit connections, and a stripped-down numerical scheme for the solution of the Grad-Shafranov equation through a structure of multi-level simplifications which can be tested against the required accuracy.
Fable, E.
February 24, 2025
Read articleImpurity Parallel Velocity Gradient instability
In magnetized plasmas, a radial gradient of parallel velocity, where parallel refers to the direction of magnetic field, can destabilise an electrostatic mode called Parallel Velocity Gradient (PVG). The theory of PVG has been mainly developed assuming a single species of ions. Here, the role of impurities is investigated based on a linear, local analysis, in a homogeneous, constant magnetic field. To further simplify the analysis, the plasma is assumed to contain only two ion species - main ions and one impurity species - while our methodology can be straightforwardly extended to more species. In the cold-ion limit, retaining polarization drift for both main ions and impurity ions, and assuming Boltzmann electrons, the system is described by 4 fluid equations closed by quasi-neutrality. The linearized equations can be reduced to 2 coupled equations: one for the electric potential, and one for the effective parallel velocity fluctuations, which is a linear combination of main ion and impurity parallel velocity fluctuations. This reduced system can be understood as a generalisation of the Hasegawa-Mima model. With finite radial gradient of impurity parallel flow, the linear dispersion relation then describes a new instability: the impurity-modified PVG (i-PVG). Instability condition is described in terms of either the main ion flow shear, or equivalently, an effective flow shear, which combines main ion and impurity flow shears. Impurities can have a stabilising or destabilising role, depending on the parameters, and in particular the direction of main flow shear against impurity flow shear. Assuming a reasonable value of perpendicular wavenumber, the maximum growth rate is estimated, depending on impurity mass, charge, and concentration.
Bourgeois, Jeanne
October 29, 2024
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