Global Optimization via the Dual SONC Cone and Linear Programming
Explore global optimization techniques using the dual SONC cone and linear programming, with applications to minimizing exponential sums and multivariate real polynomials.
Invariant Theory for Maximum Likelihood Estimation
Explore connections between maximum likelihood estimation and invariant theory stability in log-linear and Gaussian group models, with applications to statistical modeling.
Numerical Computation of Monodromy Action Over R
Explore numerical computation of monodromy action over real numbers, focusing on a new piece-wise approach for analyzing real solution sets, with applications in kinematics and mechanism calibration.
Beyond Lazy Training for Over-parameterized Tensor Decomposition
Explore over-parameterization in tensor decomposition, comparing lazy training and gradient descent approaches. Discover how gradient descent can leverage low-rank data structure beyond lazy training regimes.
The Zoo of Discrete Conformal Structures
Explore discrete conformal structures on surfaces, including circle packing and multiplicative weights. Learn about classification, applications, and recent developments in discrete conformal mapping.
Chance and Chaos - How to Predict the Unpredictable by Jens Marklof
Explore chaos theory, unpredictability, and mathematical tools for analyzing chaotic systems. Discover applications in weather forecasting, statistical physics, and everyday phenomena like coin tosses and bread kneading.
The Tropical Limit of String Theory and Feynman Integrals
Explore the intersection of string theory, Feynman integrals, and tropical geometry. Discover how tropical limits provide insights into complex physical phenomena and algebraic structures.
Geometry of Tropical Varieties with Applications - Lecture 3
Explore advanced concepts in tropical geometry, including fans, fanfolds, and tropical modifications. Learn about operations, constructions, and theorems applicable to tropical varieties and their geometric properties.
Matroid Tautological Classes in Types A and B
Explore matroid tautological classes in Types A and B, covering definitions, examples, applications, and connections to root systems and Hodge theory.
Phylogenetic Algebraic Geometry
Explore phylogenetic algebraic geometry, its applications in species history reconstruction, and the use of algebraic and geometric perspectives to solve phylogenetic problems.
Artin Reciprocity via Spheres
Explore Artin reciprocity through spheres, covering functionality, logical construction, global fields, spectra, and K theory in this advanced mathematics lecture.
Mathematical Modeling of Diseases Spread - The Dextrous Use of Simple Machine-Learning Tools
Explore machine learning techniques for modeling disease spread, focusing on data preparation, model training, and interpreting results to inform public health policies.
Towards Reduction of Singularities of Generalized Analytic Functions
Explore generalized analytic functions, focusing on singularity reduction techniques and their applications in tame geometry, with insights from complex analytic and nonarchimedean methods.
MCMC Training of Bayesian Neural Networks
Explore Bayesian Neural Networks, MCMC methods, and their applications in machine learning with Prof. Radford Neal. Gain insights into flexible modeling and practical implementations.
Differential Equations and Mixed Hodge Structures
Explore the interplay between differential equations and mixed Hodge structures, focusing on periods, kappa series, and motific gamma in number theory and algebraic geometry.
About Dulac's Problem in R3 for Perturbations of Linear Non-Degenerated Centers
Explora el problema de Dulac en R^3 para perturbaciones de centros lineales no degenerados, analizando mapas de retorno, conjuntos de ciclos y técnicas de explosión para sistemas dinámicos.
A Class of Two-Dimensional Model Sets from One-Dimensional Substitutions
Explore two-dimensional model sets derived from one-dimensional substitutions, focusing on Fibonacci and Fibinoid patterns, cut-and-project schemes, and Rauzy fractals in aperiodic tilings.
Spectral Theory of Regular Sequences
Explore spectral theory of regular sequences, focusing on integer sequences, ghost measures, and dilation equations. Gain insights into Stern's and Zaremba's sequences and their applications.
Complex Equiangular Lines and the Stark Conjectures
Explore complex equiangular lines, Stark conjectures, and their connections to algebraic number theory, design theory, and class field theory in this advanced mathematics lecture.
On Conjugacy of Cartan Subalgebras in Extended Affine Lie Algebras and Classification of Torsors
Explore advanced concepts in extended affine Lie algebras and torsors over Laurent polynomial rings in this mathematical lecture by Vladimir Chernousov at the Fields Institute.
Hilbert Polynomials for Finitary Matroids
Explore Hilbert polynomials for finitary matroids, covering partial differential fields, operators, and model theory. Gain insights into differential difference fields and convex polyhedra dilation.