Bölcskei, Helmut
- A Mathematical Theory of Deep Convolutional Neural Networks for Feature\n Extraction
2015/12/19 by Thomas Wiatowski, Helmut Bölcskei, Wiatowski, Thomas +1 · 1 voice · 2 citations
Computer Science · Earth and Planetary Sciences · Physics and Astronomy · #Image and Signal Denoising Methods #Seismic Imaging and Inversion Techniques #Model Reduction and Neural Networks
- Deep Neural Network Approximation Theory
2019/01/08 by Elbrächter, Dennis, Perekrestenko, Dmytro, Grohs, Philipp +1 · 12 citations
#FOS: Computer and information sciences #Information Theory (cs.IT) #Machine Learning (cs.LG) #Machine Learning (stat.ML)
- Optimal Approximation with Sparsely Connected Deep Neural Networks
2017/05/04 by Bölcskei, Helmut, Grohs, Philipp, Kutyniok, Gitta +1 · 6 citations
#41A25 #41A46 #42C15 #42C40 #68T05 #82C32 #94A12 #94A34 #FOS: Computer and information sciences #FOS: Mathematics #Functional Analysis (math.FA) #Information Theory (cs.IT) #Machine Learning (cs.LG)
- Recovery of Sparsely Corrupted Signals
2011/02/08 by Studer, Christoph, Kuppinger, Patrick, Pope, Graeme +1 · 2 citations
#FOS: Computer and information sciences #Information Theory (cs.IT)
- Rate-Distortion Theory for General Sets and Measures
2018/04/24 by Riegler, Erwin, Koliander, Günther, Bölcskei, Helmut · 2 citations
#FOS: Computer and information sciences #Information Theory (cs.IT)
- Subspace clustering of dimensionality-reduced data
2014/04/27 by Heckel, Reinhard, Tschannen, Michael, Bölcskei, Helmut · 1 citation
#FOS: Computer and information sciences #Information Theory (cs.IT) #Machine Learning (stat.ML)
- Vandermonde Matrices with Nodes in the Unit Disk and the Large Sieve
2017/01/10 by Aubel, Céline, Bölcskei, Helmut · 1 citation
#15A12 #65F35 #FOS: Computer and information sciences #FOS: Mathematics #Functional Analysis (math.FA) #Information Theory (cs.IT) #Number Theory (math.NT) #Numerical Analysis (math.NA)
- Neural network identifiability for a family of sigmoidal nonlinearities
2019/06/11 by Vlačić, Verner, Bölcskei, Helmut · 1 citation
#Artificial Intelligence (cs.AI) #Combinatorics (math.CO) #Complex Variables (math.CV) #FOS: Computer and information sciences #FOS: Mathematics #Information Theory (cs.IT) #Machine Learning (stat.ML)
- Affine symmetries and neural network identifiability
2020/06/21 by Vlačić, Verner, Bölcskei, Helmut · 1 citation
#FOS: Computer and information sciences #Information Theory (cs.IT) #Machine Learning (cs.LG) #Machine Learning (stat.ML)
- Lossy Compression of General Random Variables
2021/11/24 by Riegler, Erwin, Bölcskei, Helmut, Koliander, Günther · 1 citation
#FOS: Computer and information sciences #FOS: Mathematics #Information Theory (cs.IT) #Probability (math.PR)
- Generating Rectifiable Measures through Neural Networks
2024/12/06 by Erwin Riegler, Alex Bühler, Riegler, Erwin +5 · 2 citations
Computer Science · #FOS: Computer and information sciences #FOS: Mathematics #Information Theory (cs.IT) #Machine Learning (cs.LG) #Machine Learning (stat.ML) #Neural Networks and Applications #Probability (math.PR) #Statistics Theory (math.ST)
- Cellular automata, many-valued logic, and deep neural networks
2024/04/08 by Yani Zhang, Helmut Bölcskei, Zhang, Yani +1 · 1 citation
Computer Science · #Artificial Intelligence (cs.AI) #Cellular Automata and Applications #FOS: Computer and information sciences #Quantum-Dot Cellular Automata
- Covering Numbers for Deep ReLU Networks with Applications to Function Approximation and Nonparametric Regression
2024/10/08 by Ou, Weigutian, Bölcskei, Helmut · 1 citation
#41A25 #62G08 #68T07 #Artificial Intelligence (cs.AI) #FOS: Computer and information sciences #Information Theory (cs.IT) #Machine Learning (cs.LG) #Machine Learning (stat.ML)