
Explore EM-wave simulation in ECR space plasma thrusters using MFEM. Learn about Maxwell equations, cold-plasma approximation, and finite element discretization for space propulsion applications.

Изучите основы нелинейной волновой механики и связанных технологий. Сформируйте базовые знания в этой области геологии и нефтегазовой отрасли.

Explore multivariate portfolio optimization using quantiles, extending univariate approaches to solve complex financial problems and develop new numerical solutions for multivariate preferences.

Explores reduced-form market models with financial assets and life insurance liabilities under model uncertainty, focusing on mortality intensities and longevity bonds. Discusses arbitrage-free pricing and contingent claims in this framework.

Explore deep learning for option pricing and calibration, including neural network perspectives, rough volatility, and model recognition in financial mathematics.

Overview of data-driven approaches to tackle challenges in modern dynamical systems, exploring machine learning techniques for nonlinear and unknown dynamics, prediction, and control.

Explore protein side-chain positioning through doubly nonnegative relaxation and Peaceman-Rachford splitting method, with insights on facial reduction and numerical experiments for optimal solutions.

Explore rigidity theory's application to Gaussian graphical models, focusing on maximum likelihood thresholds and their implications for data analysis in genomics and other fields.

Explore mathematical and computational challenges in quantum computing through workshops and collaborations, focusing on empowering mathematics to impact quantum information science and vice versa.

Explore Ollivier Ricci curvature in complex networks, its applications in network analysis, and implementation in chemical reaction networks using optimal transport theory.

Explore Steinhaus filtration and stable paths in Mapper, a topological data analysis tool. Learn applications in recommendation systems and explainable machine learning for data-driven insights.

Explore zigzag persistent homology for efficient detection of bifurcations in dynamical systems, reducing computational costs and capturing topological changes in a single persistence diagram.

Explore nonlinear dynamics, high-dimensional data analysis, and persistent homology with Konstantin Mischaikow. Learn about algebraic topology applications, persistence diagrams, and recent advancements in data science.

Explore lower dimensional topological features in data analysis, covering detection methods, theoretical foundations, and applications in image segmentation using topological and statistical approaches.

Explore combinatorial dynamics in data science, its ties to classical dynamics, and applications in computer-assisted proofs. Learn about topological invariants and recent developments in recurrent behavior analysis.

Explore hidden variables in linear non-Gaussian causal models, using high-order cumulant information to uncover causal structures in data science applications with multiple observed variables.

Comprehensive review of derivatives, power law, and chain rule in calculus. Essential concepts for understanding differential equations and dynamical systems.

Explore a new TDA method for identifying small density vacuums in high-density regions, with proven robustness and bounded persistence. Includes simulations and theoretical insights.

Explore topological data analysis applications in studying hurricane satellite imagery and dynamical system bifurcations using persistent homology and zigzag persistence techniques.

Computational framework for Principal Geodesic Analysis of merge trees, adapting PCA to Wasserstein metric space. Efficient algorithm for data reduction and dimensionality reduction in topological data analysis.

Explore asset-liability risk assessment and numerical approximation techniques for conditional expectations in quantitative finance, enhancing risk management skills.