The development of data-informed predictive models for dynamical systems is of widespread interest in many disciplines. We present a unifying framework for blending mechanistic and machine-learning approaches to identify dynamical systems from noisily and partially observed data. We compare pure data-driven learning with hybrid models which incorporate imperfect domain knowledge, referring to the discrepancy between…
Communications of the American Mathematical Society Template
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About the Communications of the American Mathematical Society format
Communications of the American Mathematical Society is a peer-reviewed journal published by American Mathematical Society, covering Algebraic structures and combinatorial models, Geometric and Algebraic Topology, Mathematical Dynamics and Fractals. Over its lifetime it has published 146 papers, which have received 378 citations.
| Publisher | American Mathematical Society |
|---|---|
| Reference style | Numbered (AMS) Numbered — [1], [2] in the text [1] A. Smith, B. Jones, and C. Lee, A representative article title, Communications of the American Mathematical Society 12 (2023), 45–58.
Formats any DOI in Communications of the American Mathematical Society style. No sign-up. |
| Publishes research in | Algebraic structures and combinatorial models Geometric and Algebraic Topology Mathematical Dynamics and Fractals Homotopy and Cohomology in Algebraic Topology Advanced Combinatorial Mathematics |
| ISSN | 2692-3688 |
| Citation impact (2-yr) | 0.91 |
| h-index | 10 |
| i10-index | 12 |
| Top institutions publishing here | University of California, Los Angeles |
| Journal website | www.ams.org |
| You get | A submission-ready PDF and the editable LaTeX source — ready to submit. |
Papers published in Communications of the American Mathematical Society per year
Citation impact of Communications of the American Mathematical Society by publication year
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Most-cited papers in Communications of the American Mathematical Society
We replace trees by multi-indices as an index set of the abstract model space to tackle quasi-linear singular stochastic partial differential equations. We show that this approach is consistent with the postulates of regularity structures when it comes to the structure group, which arises from a Hopf algebra and a comodule. Our approach, where the…
We establish selection of critical pulled fronts in invasion processes as predicted by the marginal stability conjecture. Our result shows convergence to a pulled front with a logarithmic shift for open sets of steep initial data, including one-sided compactly supported initial conditions. We rely on robust, conceptual assumptions, namely existence and marginal spectral stability of…
In this text we introduce and analyze families of symmetric functions arising as partition functions for colored fermionic vertex models associated with the quantized affine Lie superalgebra <inline-formula content-type="math/mathml"> <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="upper U Subscript q Baseline left-parenthesis ModifyingAbove German s German l With caret left-parenthesis 1 vertical-bar n right-parenthesis right-parenthesis"> <mml:semantics> <mml:mrow> <mml:msub> <mml:mi>U</mml:mi> <mml:mi>q</mml:mi>…
This paper analyzes the generalization error of two-layer neural networks for computing the ground state of the Schrödinger operator on a <inline-formula content-type="math/mathml"> <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="d"> <mml:semantics> <mml:mi>d</mml:mi> <mml:annotation encoding="application/x-tex">d</mml:annotation> </mml:semantics> </mml:math> </inline-formula> -dimensional hypercube with Neumann boundary condition. We prove that the convergence rate of the generalization error is independent of dimension <inline-formula content-type="math/mathml">…