Latest Articles for Manifolds

This study examines phase transitions using the Cahn-Hilliard problem in unique geometries.

Mathematicians study shape modifications in knot theory and their implications.

Exploring the relationships between shapes through symmetries and mathematical structures.

A new method for function approximation in complex curved spaces.

A look at how Newton's method adapts to complex mathematical structures.

Introducing new methods for complex optimization problems on curved spaces.

A novel approach improves distance calculations on complex shapes for various fields.

A new algorithm improves federated learning efficiency while ensuring data privacy.

Examining complex equations in three-dimensional manifolds and their implications.

A look into instantons and their significance in geometry and topology.

A look into the Casson-Sullivan invariant and its role in classifying shapes.

Exploring the relationship between bistellar moves and manifolds through new algebraic structures.

This study introduces a novel approach to dimension reduction using semi-relaxed Gromov-Wasserstein distance.

Examining the role of matrix manifolds in enhancing deep learning models.

A look into the concept of Poincare duality and its impact on manifolds.

Learn how to compare probability measures on complex data structures.

Exploring methods to determine if one shape can fit into another.

Discover the complexities of non-Hausdorff manifolds through the line with two origins.

Examine the impact of barriers on chaotic transport in Hamiltonian systems.

A deep dive into the intricate world of Grassmannian optimization.

An approach to reduce complex PDEs into simpler ODEs using transnormal functions.

A new approach for nonlinear systems enhances modeling efficiency and accuracy.

Understanding smooth manifolds through triangulations and their properties in topology.

A new framework for optimizing complex geodesic convex problems in various fields.

An overview of the interactions between loops and manifolds through various mathematical tools.

Learn how decoupling principles simplify complex mathematical shapes.

An overview of Cayley fibrations and their relationship with manifolds.

An overview of geometric concepts and their implications in various fields.

Learn how Huber means provide a stable average in data with outliers.

An overview of manifolds and their importance in topology.

Research shows how repeated exposure improves image recognition in the brain.

TART boosts model accuracy while defending against adversarial attacks.

Exploring the no-boundary proposal and its impact on time and causality.

Exploring the roles of tensors and random walks in data science.

Discover the study of functions and curves on smooth shapes in various systems.

Exploring free circle actions and their implications on connected manifolds.

An overview of harmonic forms and their significance in geometry and topology.

Discover how -contact geometry enriches the study of complex systems.

A look into g-convex functions and their applications in optimization and geometry.

A look into the basics of cobordisms and their significance in mathematics.