Mathematical Theory | List of Frontiers open access articles

Original Research

Published on 09 May 2025

Inverse freeform design in non-imaging optics: Hamilton’s theory of geometrical optics, optimal transport, and least-squares solvers

in Optics and Photonics

J. H. M. ten Thije Boonkkamp
K. Mitra
M. J. H. Anthonissen
L. Kusch
P. A. Braam
W. L. IJzerman

Frontiers in Physics

doi 10.3389/fphy.2025.1518660

2,617 views
4 citations

Hypothesis and Theory

Published on 02 Mar 2021

Not One, but Many Critical States: A Dynamical Systems Perspective

Thilo Gross

Frontiers in Neural Circuits

doi 10.3389/fncir.2021.614268

8,204 views
20 citations

Original Research

Published on 01 Mar 2022

Band Structure Analysis of SH Wave Propagating in Nanoscale Layered Metamaterial Structures

in Metamaterials

Zhizhong Yan
Xiaotong Yang

Frontiers in Materials

doi 10.3389/fmats.2022.842073

2,131 views

Review

Published on 29 Mar 2022

A Survey for 3D Flame Chemiluminescence Tomography: Theory, Algorithms, and Applications

in Optical Information Processing and Holography

Ying Jin
Guohai Situ

Frontiers in Photonics

doi 10.3389/fphot.2022.845971

5,829 views
3 citations

Original Research

Published on 11 Feb 2009

Python for information theoretic analysis of neural data

Robin A. A Ince
Rasmus S Petersen
Daniel C Swan
Stefano Panzeri

Frontiers in Neuroinformatics

doi 10.3389/neuro.11.004.2009

26,286 views
67 citations

Review

Published on 13 Mar 2018

An Approach to Greater Specificity for Glucocorticoids

in Molecular and Structural Endocrinology

Carson C. Chow
S. Stoney Simons

Frontiers in Endocrinology

doi 10.3389/fendo.2018.00076

3,763 views
10 citations

Original Research

Published on 02 Nov 2023

Simulation and experimental study on the stability and comfortability of the wheelchair human system under uneven pavement

in Biomechanics

Haitao Luo
Xuan Cao
Yuming Dong
Yuxin Li

Frontiers in Bioengineering and Biotechnology

doi 10.3389/fbioe.2023.1279675

4,103 views
3 citations

Original Research

Published on 29 Aug 2024

A theory on political violence in hybrid regimes: insights from Colombia

in Peace and Democracy

Andrés Cendales
Hugo Guerrero-Sierra
Laura Oñate

Frontiers in Political Science

doi 10.3389/fpos.2024.1440122

3,829 views
2 citations

Original Research

Published on 25 Jan 2021

Algorithmic Probability-Guided Machine Learning on Non-Differentiable Spaces

in Machine Learning and Artificial Intelligence

Santiago Hernández-Orozco
Hector Zenil
Jürgen Riedel
Adam Uccello
Narsis A. Kiani
Jesper Tegnér

Frontiers in Artificial Intelligence

doi 10.3389/frai.2020.567356

116,568 views
17 citations

Perspective

Published on 29 Jul 2016

Systematicity and a Categorical Theory of Cognitive Architecture: Universal Construction in Context

in Cognitive Science

Steven Phillips
William H. Wilson

Frontiers in Psychology

doi 10.3389/fpsyg.2016.01139

13,895 views
19 citations

Methods

Published on 12 Sep 2016

Efficient Integration of Coupled Electrical-Chemical Systems in Multiscale Neuronal Simulations

Ekaterina Brocke
Upinder S. Bhalla
Mikael Djurfeldt
Jeanette Hellgren Kotaleski
Michael Hanke

Frontiers in Computational Neuroscience

doi 10.3389/fncom.2016.00097

5,320 views
5 citations

Original Research

Published on 01 Oct 2024

The application of explainable artificial intelligence methods to models for automatic creativity assessment

in Pattern Recognition

Anastasia S. Panfilova
Ekaterina A. Valueva
Ivan Y. Ilyin

Frontiers in Artificial Intelligence

doi 10.3389/frai.2024.1310518

3,581 views
3 citations

Articles

Inverse freeform design in non-imaging optics: Hamilton’s theory of geometrical optics, optimal transport, and least-squares solvers

Not One, but Many Critical States: A Dynamical Systems Perspective

Band Structure Analysis of SH Wave Propagating in Nanoscale Layered Metamaterial Structures

A Survey for 3D Flame Chemiluminescence Tomography: Theory, Algorithms, and Applications

Python for information theoretic analysis of neural data

An Approach to Greater Specificity for Glucocorticoids

Simulation and experimental study on the stability and comfortability of the wheelchair human system under uneven pavement

A theory on political violence in hybrid regimes: insights from Colombia

Algorithmic Probability-Guided Machine Learning on Non-Differentiable Spaces

Systematicity and a Categorical Theory of Cognitive Architecture: Universal Construction in Context

Efficient Integration of Coupled Electrical-Chemical Systems in Multiscale Neuronal Simulations

The application of explainable artificial intelligence methods to models for automatic creativity assessment