Cohen, Albert

1. MLIR: A Compiler Infrastructure for the End of Moore's Law
   2020/02/25 by Chris Lattner, Lattner, Chris, Mehdi Amini +17 · 5 voices · 22 citations
   #cs.PL #cs.LG
2. Tensor Comprehensions: Framework-Agnostic High-Performance Machine Learning Abstractions
   2018/02/13 by Nicolas Vasilache, Vasilache, Nicolas, Oleksandr Zinenko +15 · 1 voice · 22 citations
   Computer Science · Mathematics · #Computational Physics and Python Applications #FOS: Computer and information sciences #Machine Learning (cs.LG) #Parallel Computing and Optimization Techniques #Programming Languages (cs.PL) #Tensor decomposition and applications #cs.LG #cs.PL
3. Approximation of high-dimensional parametric PDEs
   2015/02/24 by Cohen, Albert, Devore, Ronald · 12 citations
   #Analysis of PDEs (math.AP) #FOS: Mathematics #Numerical Analysis (math.NA)
4. Optimal weighted least-squares methods
   2016/08/01 by Cohen, Albert, Migliorati, Giovanni · 10 citations
   #FOS: Mathematics #Numerical Analysis (math.NA) #Probability (math.PR) #Statistics Theory (math.ST)
5. On the stability and accuracy of least squares approximations
   2011/11/18 by Albert Cohen, Mark A. Davenport, Cohen, Albert +3 · 7 citations
   Engineering · Mathematics · #FOS: Mathematics #Mathematical Approximation and Integration #Numerical Analysis (math.NA) #Numerical methods in inverse problems #Sparse and Compressive Sensing Techniques
6. Kolmogorov widths and low-rank approximations of parametric elliptic\n PDEs
   2015/02/10 by Markus Bachmayr, Bachmayr, Markus, Albert Cohen +1 · 5 citations
   Computer Science · Decision Sciences · Engineering · Mathematics · Physics and Astronomy · #Advanced Numerical Methods in Computational Mathematics #FOS: Mathematics #Image and Signal Denoising Methods #Mathematical Approximation and Integration #Model Reduction and Neural Networks #Numerical Analysis (math.NA) #Probabilistic and Robust Engineering Design #Statistical Methods and Inference
7. Data Assimilation in Reduced Modeling
   2015/06/15 by Binev, Peter, Cohen, Albert, Dahmen, Wolfgang +3 · 5 citations
   #62M45 #65D05 #68Q32 #97N50 #FOS: Mathematics #Numerical Analysis (math.NA)
8. Optimal Stable Nonlinear Approximation
   2020/09/21 by Cohen, Albert, DeVore, Ronald, Petrova, Guergana +1 · 6 citations
   #FOS: Mathematics #Numerical Analysis (math.NA)
9. Kolmogorov widths under holomorphic mappings
   2015/02/24 by Cohen, Albert, Devore, Ronald · 3 citations
   #Analysis of PDEs (math.AP) #FOS: Mathematics #Numerical Analysis (math.NA)
10. Diffusion Coefficients Estimation for Elliptic Partial Differential\n Equations
    2016/09/16 by Andrea Bonito, Bonito, Andrea, Albert Cohen +7 · 3 citations
    Computer Science · Mathematics · #Advanced Mathematical Modeling in Engineering #Numerical methods in inverse problems #Nonlinear Partial Differential Equations
11. The Potential of Synergistic Static, Dynamic and Speculative Loop Nest Optimizations for Automatic Parallelization
    2011/11/29 by Riyadh Baghdadi, Baghdadi, Riyadh, Albert Cohen +7 · 3 citations
    Computer Science · #Distributed #Distributed and Parallel Computing Systems #Distributed systems and fault tolerance #FOS: Computer and information sciences #Parallel #Parallel Computing and Optimization Techniques #Performance (cs.PF) #Programming Languages (cs.PL) #and Cluster Computing (cs.DC)
12. Multivariate approximation in downward closed polynomial spaces
    2016/12/20 by Albert Cohen, Giovanni Migliorati, Cohen, Albert +1 · 2 citations
    Mathematics · #Analysis of PDEs (math.AP) #FOS: Mathematics #Mathematical Approximation and Integration #Numerical Analysis (math.NA) #Statistical and numerical algorithms
13. Optimal sampling and Christoffel functions on general domains
    2020/10/21 by Albert Cohen, Cohen, Albert, Matthieu Dolbeault +1 · 2 citations
    Mathematics · #41A10 #41A65 #62E17 #65C50 #93E24 #FOS: Mathematics #Mathematical Analysis and Transform Methods #Mathematical Approximation and Integration #Numerical Analysis (math.NA) #Numerical methods in inverse problems
14. Nonlinear approximation spaces for inverse problems
    2022/09/19 by Albert Cohen, Matthieu Dolbeault, Cohen, Albert +5 · 2 citations
    Computer Science · Engineering · #41A65 (Primary) #65D10 (Secondary) #FOS: Mathematics #Image and Signal Denoising Methods #Numerical Analysis (math.NA) #Photoacoustic and Ultrasonic Imaging #Sparse and Compressive Sensing Techniques
15. The MLIR Transform Dialect. Your compiler is more powerful than you think
    2024/09/05 by Martin Paul Lücke, Lücke, Martin Paul, Олександр Зіненко +7 · 3 citations
    Computer Science · #FOS: Computer and information sciences #Natural Language Processing Techniques #Programming Languages (cs.PL) #Semantic Web and Ontologies
16. Sparse polynomial approximation of parametric elliptic PDEs. Part II: lognormal coefficients
    2015/09/23 by Bachmayr, Markus, Cohen, Albert, DeVore, Ronald +1 · 1 citation
    #Analysis of PDEs (math.AP) #FOS: Mathematics #Numerical Analysis (math.NA) #Probability (math.PR)
17. Representations of Gaussian random fields and approximation of elliptic PDEs with lognormal coefficients
    2016/03/17 by Bachmayr, Markus, Cohen, Albert, Migliorati, Giovanni · 1 citation
    #FOS: Mathematics #Numerical Analysis (math.NA) #Probability (math.PR)
18. Parametric PDEs: Sparse or Low-Rank Approximations?
    2016/07/15 by Markus Bachmayr, Bachmayr, Markus, Albert Cohen +2 · 1 citation
    Mathematics · Physics and Astronomy · #41A46 #41A63 #42C10 #65D99 #65J10 #65N12 #65N15 #FOS: Mathematics #Mathematical Approximation and Integration #Model Reduction and Neural Networks #Numerical Analysis (math.NA) #Tensor decomposition and applications
19. Sequential sampling for optimal weighted least squares approximations in hierarchical spaces
    2018/05/28 by Arras, Benjamin, Bachmayr, Markus, Cohen, Albert · 1 citation
    #41A10 #41A65 #62E17 #65C50 #93E24 #FOS: Mathematics #Numerical Analysis (math.NA) #Probability (math.PR) #Statistics Theory (math.ST)
20. Nonlinear reduced models for state and parameter estimation
    2020/09/06 by Cohen, Albert, Dahmen, Wolfgang, Mula, Olga +1 · 1 citation
    #FOS: Mathematics #Numerical Analysis (math.NA)
21. Nonlinear Methods for Model Reduction
    2020/05/06 by Bonito, Andrea, Cohen, Albert, DeVore, Ronald +3 · 1 citation
    #FOS: Mathematics #Numerical Analysis (math.NA)
22. Solving PDEs with Incomplete Information
    2023/01/13 by Peter Binev, Andrea Bonito, Binev, Peter +9 · 1 citation
    Mathematics · Computer Science · #Numerical methods in inverse problems #Differential Equations and Boundary Problems #Advanced Mathematical Modeling in Engineering
23. High order recovery of geometric interfaces from cell-average data
    2024/02/01 by Cohen, Albert, Mula, Olga, Somacal, Agustín · 1 citation
    #FOS: Mathematics #Numerical Analysis (math.NA)