Holger Rauhut

1. Suprema of Chaos Processes and the Restricted Isometry Property
   2012/07/01 by Felix Krahmer, Krahmer, Felix, Shahar Mendelson +3 · 6 citations
   Mathematics · Physics and Astronomy · #Mathematical Dynamics and Fractals #Quantum chaos and dynamical systems #Chaos control and synchronization
2. Convergence of gradient descent for learning linear neural networks
   2021/08/04 by Gabin Maxime Nguegnang, Holger Rauhut, Nguegnang, Gabin Maxime +3 · 1 voice · 4 citations
   Computer Science · Mathematics · #FOS: Computer and information sciences #FOS: Mathematics #Machine Learning (cs.LG) #Optimization and Control (math.OC) #cs.LG #math.OC
3. Sparsity in time-frequency representations
   2007/11/15 by Pfander, Goetz E., Holger Rauhut, Rauhut, Holger · 2 citations
   Engineering · Mathematics · #15A52 #42C40 #90C25 #Classical Analysis and ODEs (math.CA) #FOS: Computer and information sciences #FOS: Mathematics #Information Theory (cs.IT) #Mathematical Analysis and Transform Methods #Microwave Imaging and Scattering Analysis #Sparse and Compressive Sensing Techniques
4. Compressive Sensing and Neural Networks from a Statistical Learning Perspective
   2020/10/29 by Arash Behboodi, Holger Rauhut, Behboodi, Arash +3 · 3 citations
   Engineering · Computer Science · #Sparse and Compressive Sensing Techniques #Photoacoustic and Ultrasonic Imaging #Image and Signal Denoising Methods
5. Random Sampling of Sparse Trigonometric Polynomials II - Orthogonal Matching Pursuit versus Basis Pursuit
   2006/04/19 by Stefan Kunis, Kunis, Stefan, Holger Rauhut +1 · 1 citation
   Engineering · Mathematics · #15A52 #42A05 #90C05 #90C25 #94A20 #Classical Analysis and ODEs (math.CA) #FOS: Mathematics #Mathematical Analysis and Transform Methods #Microwave Imaging and Scattering Analysis #Numerical Analysis (math.NA) #Sparse and Compressive Sensing Techniques
6. Low-rank matrix recovery via iteratively reweighted least squares\n minimization
   2010/10/12 by Massimo Fornasier, Holger Rauhut, Fornasier, Massimo +3 · 1 citation
   Computer Science · Engineering · Medicine · #49M30 #52A41 #65J22 #65K10 #Advanced MRI Techniques and Applications #Blind Source Separation Techniques #Electrical and Bioimpedance Tomography #FOS: Mathematics #Numerical Analysis (math.NA) #Sparse and Compressive Sensing Techniques
7. Don't be so Monotone: Relaxing Stochastic Line Search in Over-Parameterized Models
   2023/06/22 by Leonardo Galli, Holger Rauhut, Galli, Leonardo +3 · 2 citations
   Biochemistry, Genetics and Molecular Biology · Computer Science · #Advanced Image and Video Retrieval Techniques #Diffusion and Search Dynamics #FOS: Computer and information sciences #FOS: Mathematics #Machine Learning (cs.LG) #Metaheuristic Optimization Algorithms Research #Optimization and Control (math.OC)
8. Sparse recovery in bounded Riesz systems with applications to numerical\n methods for PDEs
   2020/05/14 by Simone Brugiapaglia, Brugiapaglia, Simone, Sjoerd Dirksen +5 · 1 citation
   Economics, Econometrics and Finance · Mathematics · Medicine · #FOS: Computer and information sciences #FOS: Mathematics #Hemodynamic Monitoring and Therapy #Information Theory (cs.IT) #Numerical Analysis (math.NA) #Numerical methods in inverse problems #Stochastic processes and financial applications
9. Covariance estimation under one-bit quantization
   2021/04/02 by Sjoerd Dirksen, Dirksen, Sjoerd, Johannes Maly +3 · 1 citation
   Computer Science · Engineering · #Blind Source Separation Techniques #Distributed Sensor Networks and Detection Algorithms #FOS: Computer and information sciences #FOS: Mathematics #Information Theory (cs.IT) #Sparse and Compressive Sensing Techniques #Statistics Theory (math.ST)
10. New challenges in covariance estimation: multiple structures and coarse\n quantization
    2021/06/11 by Johannes Maly, Maly, Johannes, Tianyu Yang +7 · 1 citation
    Computer Science · #Blind Source Separation Techniques #Target Tracking and Data Fusion in Sensor Networks #Distributed Sensor Networks and Detection Algorithms
11. Stability results for random sampling of sparse trigonometric polynomials
    2006/09/22 by Holger Rauhut, Rauhut, Holger · 1 citation
    Computer Science · Engineering · #15A52 #42A05 #90C25 #94A20 #FOS: Mathematics #Image and Signal Denoising Methods #Numerical Analysis (math.NA) #Sparse and Compressive Sensing Techniques #Target Tracking and Data Fusion in Sensor Networks
12. Analysis ℓ₁-recovery with frames and Gaussian measurements
    2013/06/06 by Holger Rauhut, Maryia Kabanava, Rauhut, Holger +1 · 1 citation
    Engineering · Computer Science · Mathematics · #Sparse and Compressive Sensing Techniques #Image and Signal Denoising Methods #Mathematical Analysis and Transform Methods
13. Sparse Legendre expansions via ℓ₁ minimization
    2010/03/01 by Holger Rauhut, Rachel Ward, Rauhut, Holger +1 · 1 citation
    Decision Sciences · Engineering · Mathematics · #15A12 #15B52 #41A10 #42A61 #42C05 #60B20 #65F35 #94A12 #94A20 #Advanced Optimization Algorithms Research #Classical Analysis and ODEs (math.CA) #FOS: Mathematics #Functional Analysis (math.FA) #Numerical Analysis (math.NA) #Probabilistic and Robust Engineering Design #Probability (math.PR) #Sparse and Compressive Sensing Techniques