- On learning Gaussian multi‐index models with gradient flow part I: General properties and two‐timescale learning
2025/07/15 by Alberto Bietti, Joan Bruna, Loucas Pillaud‐Vivien · 8 citations
Computer Science · Mathematics · #Applied mathematics #Balanced flow #Computer science #Econometrics #Flow (mathematics) #Gaussian #Gaussian Processes and Bayesian Inference #Geometry #Index (typography) #Mathematical analysis #Mathematics #Neural Networks and Applications #Physics #Statistical Methods and Inference #Statistical physics
- Asymptotic convergence rate of Dropout on shallow linear neural networks
2020/12/01 by Albert Senen–Cerda, Jaron Sanders, Senen-Cerda, Albert +1 · 1 citation
Computer Science · Engineering · Mathematics · #Applied mathematics #Artificial intelligence #Artificial neural network #Balanced flow #Computer science #Convergence (economics) #Dropout (neural networks) #FOS: Computer and information sciences #FOS: Mathematics #Hessian matrix #Machine Learning (cs.LG) #Machine Learning (stat.ML) #Machine Learning and ELM #Mathematical analysis #Mathematical optimization #Mathematics #Optimization and Control (math.OC) #Rate of convergence #Regularization (linguistics) #Sparse and Compressive Sensing Techniques #Stochastic Gradient Optimization Techniques #Upper and lower bounds
- Equilibria for an aggregation model with two species
2016/12/23 by Joep H. M. Evers, Razvan C. Fetecau, Evers, Joep H. M. +4 · 1 citation
Chemistry · Mathematics · Medicine · #Analysis of PDEs (math.AP) #Applied mathematics #Balanced flow #Chemistry #Computer science #Coupling (piping) #FOS: Mathematics #Flow (mathematics) #Limit (mathematics) #Mathematical Biology Tumor Growth #Mathematical analysis #Mathematical and Theoretical Epidemiology and Ecology Models #Mathematics #Mechanics #Parameter space #Physics #Scale (ratio) #Space (punctuation) #Stability (learning theory) #Statistical physics #Statistics #Steady state (chemistry) #Stochastic processes and statistical mechanics #math.AP
- Shape optimization for surface functionals in Navier--Stokes flow using a phase field approach
2015/01/01 by Harald Garcke, Garcke, Harald, Claudia Hecht +7 · 1 citation
Computer Science · Engineering · Mathematics · #35Q35 #35R35 #49Q10 #49Q12 #Advanced Mathematical Modeling in Engineering #Advanced Numerical Methods in Computational Mathematics #Algorithm #Applied mathematics #Artificial neural network #Balanced flow #Computation #Computer science #FOS: Mathematics #Field (mathematics) #Finite element method #Flow (mathematics) #Focus (optics) #Geometry #Gradient descent #Limit (mathematics) #Mathematical analysis #Mathematical optimization #Mathematics #Optimization and Control (math.OC) #Phase (matter) #Physics #Pure mathematics #Shape optimization #Surface (topology) #Topology Optimization in Engineering #Topology optimization #math.OC #msc:35Q35 #msc:35R35 #msc:49Q10 #msc:49Q12
- A Discrete Convolution Model¶for Phase Transitions
1999/12/01 by Peter W. Bates, Adam Chmaj · 27 citations
Mathematics · Medicine · Physics and Astronomy · #Balanced flow #Complex system #Computer science #Convolution (computer science) #Energy (signal processing) #Energy functional #Helmholtz free energy #Ising model #Materials science #Mathematical analysis #Mathematical and Theoretical Epidemiology and Ecology Models #Mathematics #Phase transition #Physics #Quantum mechanics #Range (aeronautics) #Stability (learning theory) #Statistical physics #Stochastic processes and statistical mechanics #Theoretical and Computational Physics #Uniqueness