Results 111 to 120 of about 55,778 (240)
Relational Bundle Geometric Formulation of Non‐Relativistic Quantum Mechanics
Fortschritte der Physik, Volume 73, Issue 12, December 2025.Abstract A bundle geometric formulation of non‐relativistic many‐particles Quantum Mechanics is presented. A wave function is seen to be a C$\mathbb {C}$‐valued cocyclic tensorial 0‐form on configuration space‐time seen as a principal bundle, while the Schrödinger equation flows from its covariant derivative, with the action functional supplying a ...
J. T. François, L. Ravera
wiley +1 more source
Efficient mapping of phase diagrams with conditional Boltzmann Generators
Machine Learning: Science and TechnologyThe accurate prediction of phase diagrams is of central importance for both the fundamental understanding of materials as well as for technological applications in material sciences. However, the computational prediction of the relative stability between
Maximilian Schebek +3 more
doaj +1 more source
Degree Theory for Equivariant Maps. I [PDF]
, 1989 Jorge Ize, I. Massabo, A. Vignoli
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Robust and Differentially Private Principal Component Analysis
Statistical Analysis and Data Mining: An ASA Data Science Journal, Volume 18, Issue 6, December 2025.ABSTRACT Recent advances have sparked significant interest in the development of privacy‐preserving Principal Component Analysis (PCA). However, many existing approaches rely on restrictive assumptions, such as assuming sub‐Gaussian data or being vulnerable to data contamination.
Minwoo Kim, Sungkyu Jung
wiley +1 more source
Completion of partial structures using Patterson maps with the CrysFormer machine‐learning model
Acta Crystallographica Section D, Volume 81, Issue 12, Page 668-677, December 2025.We integrate existing machine learning‐based protein structure‐prediction methods with X‐ray crystallography by completing partial structures derived from AlphaFold predictions and the corresponding Patterson map information. The CrysFormer results are promising when applied to an initial data set of 15‐residue fragments in P21 unit cells.Protein ...
Tom Pan +4 more
wiley +1 more source
Stability and equivariant maps
Inventiones Mathematicae, 1989 Let G be a reductive algebraic group acting (linearizably) on projective varieties X and Y, and let \(\pi:\quad Y\to X\) be a G-equivariant morphism. The author defines a suitable linearization of the G-action on Y and then compares stability in X and Y. His most general result is that \(q\in Y\) is unstable (resp.
openaire +2 more sources
Projection‐based estimators for matrix/tensor‐valued data
Scandinavian Journal of Statistics, Volume 52, Issue 4, Page 2152-2186, December 2025.Abstract A general approach for extending estimators to matrix‐ and tensor‐valued data is proposed. The extension is based on using random projections to project out dimensions of a tensor and then computing a multivariate estimator for each projection. The mean of the obtained set of estimates is used as the final, joint estimate. In some basic cases,
Joni Virta +2 more
wiley +1 more source
Conformally equivariant quantization and symbol maps associated with $n$-ary differential operators on weighted densities [PDF]
, 2019 Jamel Boujelben +2 more
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Maximal symplectic torus actions
Bulletin of the London Mathematical Society, Volume 57, Issue 12, Page 4132-4148, December 2025.Abstract There are several different notions of maximal torus actions on smooth manifolds, in various contexts: symplectic, Riemannian, complex. In the symplectic context, for the so‐called isotropy‐maximal actions, as well as for the weaker notion of almost isotropy‐maximal actions, we give classifications up to equivariant symplectomorphism.
Rei Henigman
wiley +1 more source
A note on the cohomology of moduli spaces of local shtukas
Bulletin of the London Mathematical Society, Volume 57, Issue 12, Page 3709-3729, December 2025.Abstract We study localized versions of spectral action of Fargues–Scholze, using methods from higher algebra. As our main motivation and application, we deduce a formula for the cohomology of moduli spaces of local shtukas under certain genericity assumptions, and discuss its relation with the Kottwitz conjecture.
David Hansen, Christian Johansson
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