Martin Burger
- Analysis of mean-field models arising from self-attention dynamics in transformer architectures with layer normalization
2025/01/06 by Martin Burger, Burger, Martin, Samira Kabri +7 · 10 citations
Computer Science · #43A35 #49Q20 #68Q32 #Analysis of PDEs (math.AP) #FOS: Mathematics #Neural Networks and Applications
- Stationary states of quadratic diffusion equations with long-range attraction
2011/03/28 by Martin Burger, Marco Di Francesco, Burger, M. +3 · 2 citations
Mathematics · Medicine · #Mathematical Biology Tumor Growth #Mathematical and Theoretical Epidemiology and Ecology Models #Nonlinear Partial Differential Equations
- Mean-field optimal control and optimality conditions in the space of\n probability measures
2019/02/14 by Martin Burger, René Pinnau, Burger, Martin +5 · 2 citations
Decision Sciences · Environmental Science · Mathematics · #FOS: Mathematics #Groundwater flow and contamination studies #Markov Chains and Monte Carlo Methods #Optimization and Control (math.OC) #Probabilistic and Robust Engineering Design
- Ground States and Singular Vectors of Convex Variational Regularization\n Methods
2012/11/09 by Martin Benning, Benning, Martin, Martin Burger +1 · 2 citations
Engineering · Mathematics · #FOS: Mathematics #Numerical Analysis (math.NA) #Numerical methods in inverse problems #Sparse and Compressive Sensing Techniques #Statistical and numerical algorithms
- Maximum a posteriori probability estimates in infinite-dimensional\n Bayesian inverse problems
2014/12/18 by Tapio Helin, Helin, Tapio, Martin Burger +1 · 1 citation
Computer Science · Mathematics · #62C10 #62F10 #62F15 #65C60 #65J22 #FOS: Mathematics #Gaussian Processes and Bayesian Inference #Markov Chains and Monte Carlo Methods #Probability (math.PR) #Statistical Methods and Inference #Statistics Theory (math.ST)
- Diffuse Interface Methods for Inverse Problems: Case Study for an\n Elliptic Cauchy Problem
2015/06/18 by Martin Burger, Burger, Martin, Ole Løseth Elvetun +3 · 1 citation
Mathematics · Engineering · Computer Science · #Numerical methods in inverse problems #Ultrasonics and Acoustic Wave Propagation #Image and Signal Denoising Methods
- Sorting Phenomena in a Mathematical Model For Two Mutually\n Attracting/Repelling Species
2017/04/13 by Martin Burger, Burger, Martin, Marco Di Francesco +5 · 1 citation
Materials Science · Mathematics · Physics and Astronomy · #35B40 #35K45 #35K55 #35K57 #92C17 #92D25 #Analysis of PDEs (math.AP) #FOS: Mathematics #Material Dynamics and Properties #Stochastic processes and statistical mechanics #Theoretical and Computational Physics
- Covariance-Modulated Optimal Transport and Gradient Flows
2023/02/15 by Martin Burger, Matthias Erbar, Franca Hoffmann +2 · 1 voice · 1 citation
Mathematics · Computer Science · #Numerical methods in inverse problems #Geometric Analysis and Curvature Flows #Advanced Mathematical Modeling in Engineering
- Neural Architecture Search via Bregman Iterations
2021/06/04 by Leon Bungert, Bungert, Leon, Tim Roith +5 · 1 citation
Computer Science · Physics and Astronomy · #65K10 #68T05 #90C26 #F.2.1 #FOS: Computer and information sciences #FOS: Mathematics #G.1.6 #Gaussian Processes and Bayesian Inference #I.2.6 #Image and Signal Denoising Methods #Machine Learning (cs.LG) #Model Reduction and Neural Networks #Neural and Evolutionary Computing (cs.NE) #Optimization and Control (math.OC)
- Well-posedness of an integro-differential model for active Brownian particles
2021/11/25 by Maria Bruna, Bruna, Maria, Martin Burger +5 · 1 citation
Economics, Econometrics and Finance · Mathematics · #35K20 #35K58 #35Q70 #35Q92 #Analysis of PDEs (math.AP) #FOS: Mathematics #Mathematical Biology Tumor Growth #Stochastic processes and financial applications #Stochastic processes and statistical mechanics
- Identifying Untrustworthy Predictions in Neural Networks by Geometric\n Gradient Analysis
2021/02/24 by Leo Schwinn, Schwinn, Leo, An Nguyen +13 · 1 citation
Computer Science · #Adversarial Robustness in Machine Learning #Anomaly Detection Techniques and Applications
- Analysis of Primal-Dual Langevin Algorithms
2024/05/28 by Martin Burger, Matthias J. Ehrhardt, Burger, Martin +5 · 1 citation
Computer Science · Engineering · Physics and Astronomy · #35Q84 #47A52 #49N45 #60H10 #62F15 #65J22 #68U10 #Blind Source Separation Techniques #FOS: Mathematics #Molecular Communication and Nanonetworks #Optimization and Control (math.OC) #stochastic dynamics and bifurcation
- An operator-splitting algorithm for the hypergraph p-Laplacian with applications to missing data recovery
2026/07/20 by Kehan Shi, Jin Liu, Martin Burger
#math.NA #cs.NA