Agrachev, Andrei
- Optimal Transportation under Nonholonomic Constraints
2007/10/01 by Agrachev, Andrei, Lee, Paul · 5 citations
#49J20 #53C17 #Differential Geometry (math.DG) #FOS: Mathematics #Optimization and Control (math.OC)
- Control in the spaces of ensembles of points
2019/07/01 by Agrachev, Andrei, Sarychev, Andrey · 4 citations
#58E25 #93B05 #93C25 #Classical Analysis and ODEs (math.CA) #FOS: Mathematics #Optimization and Control (math.OC)
- Control on the Manifolds of Mappings with a View to the Deep Learning
2020/08/28 by Agrachev, Andrei, Sarychev, Andrey · 2 citations
#68T07 #93B05 #93B27 #FOS: Computer and information sciences #FOS: Mathematics #Machine Learning (cs.LG) #Optimization and Control (math.OC)
- Geometry of optimal control problems and Hamiltonian systems
2005/06/10 by Andrei Agrachev, Agrachev, Andrei · 1 citation
Mathematics · #Differential Geometry (math.DG) #Dynamical Systems (math.DS) #FOS: Mathematics #Optimization and Control (math.OC) #math.DG #math.DS #math.OC
- The intrinsic hypoelliptic Laplacian and its heat kernel on unimodular Lie groups
2008/06/04 by Andrei Agrachev, Agrachev, Andrei, Ugo Boscain +5 · 1 citation
Mathematics · #35H10 #35K05 #53C17 #Analysis of PDEs (math.AP) #FOS: Mathematics #FOS: Physical sciences #Geometric Analysis and Curvature Flows #Geometry and complex manifolds #Mathematical Physics (math-ph) #advanced mathematical theories
- Any sub-Riemannian Metric has Points of Smoothness
2008/08/29 by Andrei Agrachev, Agrachev, Andrei · 1 citation
Computer Science · Mathematics · #Differential Geometry (math.DG) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Optimization and Control (math.OC) #Point processes and geometric inequalities #Topological and Geometric Data Analysis
- Bishop and Laplacian Comparison Theorems on Three Dimensional Contact Subriemannian Manifolds with Symmetry
2011/05/11 by Agrachev, Andrei, Lee, Paul W. Y. · 1 citation
#35R03 #53C17 #Differential Geometry (math.DG) #FOS: Mathematics
- Generic controllability of equivariant systems and applications to particle systems and neural networks
2024/04/12 by Agrachev, Andrei, Letrouit, Cyril · 2 citations
#Dynamical Systems (math.DS) #FOS: Mathematics #Optimization and Control (math.OC)
- Generalized Ricci Curvature Bounds for Three Dimensional Contact\n Subriemannian manifolds
2009/03/16 by Andrei Agrachev, Agrachev, Andrei, Paul Lee +1 · 1 citation
Mathematics · Physics and Astronomy · #Geometric Analysis and Curvature Flows #Advanced Differential Geometry Research #Geometry and complex manifolds
- "Good Lie Brackets" for Control Affine Systems
2023/05/22 by Agrachev, Andrei · 1 citation
#FOS: Mathematics #Optimization and Control (math.OC)
- Jacobi Fields in Optimal Control I: Morse and Maslov Indices
2018/10/06 by Andrei Agrachev, Agrachev, Andrei, Ivan Beschastnyi +1 · 2 citations
Mathematics · #Differential Geometry (math.DG) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Homotopy and Cohomology in Algebraic Topology #Mathematical Biology Tumor Growth #Optimization and Control (math.OC)