Results 121 to 130 of about 5,189 (241)

Manifold topological deep learning for biomedical data. [PDF]

Nat Commun
Liu X, Su Z, Shi Y, Tong Y, Wang G, Wei GW.   +5 more
europepmc   +1 more source

Advances in causal discovery methods for ecological time series

Biological Reviews, EarlyView.
ABSTRACT Recent advances in data collection technologies (e.g. automated sensor networks, satellite remote sensing, and high‐throughput sequencing) have greatly expanded the availability of ecological time series, enabling new opportunities for causal analyses in dynamic ecosystems.
Kenta Suzuki, Masato Yamamichi, Yutaka Osada, Masayuki Ushio, Kohei Nakajima, Hiroshi Masuya, Shohei Shimizu   +6 more
wiley   +1 more source

Geometry and quantum brachistochrone analysis of multiple entangled spin-1/2 particles under all-range Ising interaction. [PDF]

Sci Rep
Amghar B, Yachi M, Amghar M, Almousa M, El-Latif AAA, Slaoui A.   +5 more
europepmc   +1 more source

Structure-Sensitive Mathematics IV: Omega-Topology and Omega-Geometry — Structural Proximity, Geodesics, and Geometric Consistency

This work presents the fourth paper of the Structure-Sensitive Mathematics (SSM) research series, extending the Omega framework into topology, geometry, and structural consistency analysis. Building upon Omega-sensitive function spaces, Omega-Banach/Hilbert structures, and Omega-operator theory developed in Parts I–III, this study investigates ...
openaire   +1 more source

On the topology of deformation spaces of Kleinian groups

, 2000
Let M be a compact, hyperbolizable 3-manifold with nonempty incompressible boundary and fundamental group G, and let AH(G) denote the space of (conjugacy classes of) discrete faithful representations of G into PSL(2, C). The components of the interior MP(
Canary, Richard D., Anderson, James W., McCullough, Darryl   +2 more
core  

Building phenotypic character matrices for phylogenetic inference: exploration of 35 years of practice

Biological Reviews, EarlyView.
ABSTRACT Recent methodological development in phylogenetic inference has focused predominantly on molecular data. However, renewed interest in other data types, particularly morphological data, has followed from the increased recognition of the power of total evidence and tip‐dating approaches, including fossil data, for inference of time‐scaled trees ...
Melanie J. Hopkins, Mark C. Nikolic, James D. Holmes, Daniela S. Monti, Ernesto E. Vargas‐Parra, Russell D.C. Bicknell, Gregory D. Edgecombe, Katherine Jordan‐Burmeister, John R. Paterson, Shravya Srivastava‐Losey   +9 more
wiley   +1 more source

Topological data analysis and topological deep learning beyond persistent homology: a review. [PDF]

Artif Intell Rev
Su Z, Liu X, Hamdan LB, Maroulas V, Wu J, Carlsson G, Wei GW, Wei GW.   +7 more
europepmc   +1 more source

Machine Learning Paradigm for Advanced Battery Electrolyte Development

Carbon Energy, EarlyView.
Electrolyte materials determine ion transport kinetics within the bulk and interphases, ultimately influencing the performance of battery systems. As data‐driven paradigms increasingly reshape materials discovery, this review provides an application‐oriented exploration of the intersection between machine learning and electrolyte science. By evaluating
Chang Su, Mengfan Pei, Keyu Chen, Xigao Jian, Fangyuan Hu   +4 more
wiley   +1 more source

Maximum persistent Betti numbers of Čech complexes. [PDF]

J Appl Comput Topol
Edelsbrunner H, Kahle M, Kanazawa S.
europepmc   +1 more source

Cosmic Topology: A Geometric Unification Theory Based on Noncommutative Geometry (SGCU 7.0 — Complete Rigorous Mathematical Derivation)

Starting from the spectral triple axioms of noncommutative geometry, we establish a complete and rigorous mathematical framework for SGCU (Cosmic Topology) through the non-perturbative regularization of matrix models. On the two-dimensional noncommutative torus, we numerically verify the multi-well potential structure and the existence of point-like ...
openaire   +1 more source