Philipp Petersen

1. The Modern Mathematics of Deep Learning
   2021/05/09 by Julius Berner, Philipp Grohs, Gitta Kutyniok +1 · 6 voices · 1 citation
   Computer Science · Physics and Astronomy · Engineering · #Neural Networks and Applications #Model Reduction and Neural Networks #Sparse and Compressive Sensing Techniques
2. Humanity's Last Exam
   2025/01/24 by Long Phan, Phan, Long, Alice Gatti +2240 · 9 voices · 103 citations
   #cs.LG #cs.AI #cs.CL
3. Large Language Models for Mathematicians
   2023/12/07 by Simon Frieder, Julius Berner, Philipp Petersen +1 · 7 voices · 1 citation
   #cs.CL #cs.AI #cs.LG #math.HO
4. Mathematical theory of deep learning
   2024/07/25 by Philipp Petersen, Jakob Zech, Petersen, Philipp +1 · 5 voices · 3 citations
   Computer Science · Mathematics · #FOS: Computer and information sciences #FOS: Mathematics #History and Overview (math.HO) #Machine Learning (cs.LG) #Neural Networks and Applications #cs.LG #math.HO
5. Error bounds for approximations with deep ReLU neural networks in\n W^s,p norms
   2019/02/21 by Ingo Gühring, Gühring, Ingo, Gitta Kutyniok +3 · 7 citations
   Physics and Astronomy · Computer Science · Engineering · #Model Reduction and Neural Networks #Numerical Methods and Algorithms #Advanced Numerical Analysis Techniques
6. Topological properties of the set of functions generated by neural\n networks of fixed size
   2018/06/21 by Philipp Petersen, Mones Raslan, Petersen, Philipp +3 · 5 citations
   Computer Science · #52A30 #54H99 #68T05 #FOS: Mathematics #Functional Analysis (math.FA) #General Topology (math.GN) #Machine Learning and ELM #Neural Networks and Applications #Topological and Geometric Data Analysis
7. Efficient Approximation of Solutions of Parametric Linear Transport\n Equations by ReLU DNNs
   2020/01/30 by Fabian Laakmann, Philipp Petersen, Laakmann, Fabian +1 · 1 citation
   Engineering · Physics and Astronomy · #35A35 #35Q49 #41A25 #41A46 #65N30 #68T05 #Analysis of PDEs (math.AP) #Energy Load and Power Forecasting #FOS: Mathematics #Functional Analysis (math.FA) #Model Reduction and Neural Networks #Numerical Analysis (math.NA)
8. Numerical stability analysis of large language models
   2025/03/13 by Stanislav Budzinskiy, Wenyi Fang, Budzinskiy, Stanislav +7 · 1 voice · 1 citation
   Computer Science · Mathematics · #Natural Language Processing Techniques #Text Readability and Simplification #Topic Modeling #cs.LG #math.NA #stat.ML