- A construction of the polylogarithm motive
2023/05/01 by Clément Dupont, Javier Fresán · 1 citation
Mathematics · #Advanced Algebra and Geometry #Advanced Combinatorial Mathematics #Advanced Mathematical Identities #Algebra over a field #Cohomology #Combinatorics #Complement (music) #Computer science #Hodge structure #Hyperplane #Hypersurface #Lift (data mining) #Mathematics #Physics #Projective space #Projective test #Pure mathematics #Space (punctuation) #Variation (astronomy) #math.AG #math.KT #math.NT
- Extensions of curves with high degree with respect to the genus
2023/04/04 by Ciro Ciliberto, Thomas Dedieu · 1 citation
Arts and Humanities · Mathematics · #Algebraic Geometry and Number Theory #Combinatorics #Computer science #Degree (music) #Extension (predicate logic) #French Historical and Cultural Studies #Gaussian #Genus #Historical Studies and Socio-cultural Analysis #Hyperplane #Integrable system #Mathematical analysis #Mathematics #Physics #Pure mathematics #Quantum mechanics #Section (typography) #math.AG
- Synthetic construction of the Hopf fibration in a double orthogonal projection of 4-space
2021/03/11 by Michal Zamboj · 3 citations
Computer Science · Mathematics · Arts and Humanities · #Digital Image Processing Techniques #Mathematics and Applications #Architecture and Art History Studies #Orthographic projection #Fibration #Projection (relational algebra) #Stereographic projection #Graphical projection #Hyperplane #Parallel projection #Euclidean space #Representation (politics)
- Learning by Turning: Neural Architecture Aware Optimisation
2021/02/14 by Yang Liu, Liu, Yang, Jeremy Bernstein +5 · 2 citations
Computer Science · Mathematics · #A priori and a posteriori #Advanced Neural Network Applications #Architecture #Artificial intelligence #Artificial neural network #Benchmark (surveying) #Cartography #Computer science #Deep learning #FOS: Computer and information sciences #Geometry #Gradient descent #Hyperplane #Machine Learning (cs.LG) #Mathematics #Memory footprint #Momentum (technical analysis) #Neural Networks and Applications #Neural and Evolutionary Computing (cs.NE) #Square root #Stochastic Gradient Optimization Techniques
- Robust Subspace Clustering via Thresholding
2013/07/18 by Reinhard Heckel, Heckel, Reinhard, Helmut Bölcskei +1 · 2 citations
Computer Science · Engineering · Mathematics · #Adjacency list #Adjacency matrix #Advanced Statistical Methods and Models #Algorithm #Artificial intelligence #Cluster analysis #Clustering high-dimensional data #Combinatorics #Computer science #Data point #Dimension (graph theory) #FOS: Computer and information sciences #Face and Expression Recognition #Graph #Hyperplane #Information Theory (cs.IT) #Linear subspace #Machine Learning (cs.LG) #Machine Learning (stat.ML) #Mathematics #Outlier #Pattern recognition (psychology) #Remote-Sensing Image Classification #Robustness (evolution) #Spectral clustering #Subspace topology #Thresholding #cs.IT #cs.LG #math.IT #stat.ML
- A combination theorem for special cube complexes
2012/09/15 by Frédéric Haglund, Daniel T. Wise · 1 citation
Mathematics · #Geometric and Algebraic Topology #Mathematical Dynamics and Fractals #Homotopy and Cohomology in Algebraic Topology #Quasiconvex function #Mathematics #Hyperplane #Cube (algebra) #Simple (philosophy) #Pure mathematics #Separable space #Group (periodic table) #Combinatorics #Mathematical analysis #Geometry #Regular polygon
- Symmetry of convex sets and its applications to the extremal ellipsoids of convex bodies
2011/10/28 by Osman Güler, Filiz Gürtuna · 1 citation
Mathematics · Computer Science · #Point processes and geometric inequalities #Advanced Optimization Algorithms Research #Optimization and Variational Analysis #Ellipsoid #Convex body #Inscribed figure #Regular polygon #Mathematics #Hyperplane #Combinatorics #Convex set #Geometry #Pure mathematics #Convex optimization #Physics
- convexity
2011/02/14 by Peter Newman · 1 citation
Economics, Econometrics and Finance · Mathematics · #Combinatorics #Competitive equilibrium #Computer science #Convexity #Economic theories and models #Economics #Fixed-point theorem #General equilibrium theory #Hyperplane #Mathematical economics #Mathematical optimization #Mathematics #Microeconomics #Multi-objective optimization #Normative #Pareto optimal #Pareto principle #Philosophy #Pure mathematics #Regular polygon #Set (abstract data type)
- Isosceles Sets
2009/11/24 by Yury J. Ionin · 1 citation
Computer Science · Mathematics · #Computational Geometry and Mesh Generation #Digital Image Processing Techniques #Limits and Structures in Graph Theory #Isosceles triangle #Combinatorics #Mathematics #Cardinality (data modeling) #Hamming space #Upper and lower bounds #Hyperplane #Space (punctuation) #Euclidean space #Metric space #Plane (geometry) #Hamming distance #Discrete mathematics #Hamming code #Geometry #Algorithm #Mathematical analysis
- Iteratively reweighted least squares minimization for sparse recovery
2009/10/19 by Ingrid Daubechies, Ronald DeVore, Massimo Fornasier +1 · 119 citations
Computer Science · Engineering · Mathematics · #Advanced Optimization Algorithms Research #Algorithm #Applied mathematics #Combinatorics #Compressed sensing #Discrete mathematics #Element (criminal law) #Estimation theory #Hyperplane #Iteratively reweighted least squares #Lie algebra #Limit (mathematics) #Limit point #Mathematical analysis #Mathematics #Matrix (chemical analysis) #Non-linear least squares #Norm (philosophy) #Pure mathematics #Restricted isometry property #Sequence (biology) #Sparse and Compressive Sensing Techniques #Stochastic Gradient Optimization Techniques #Weight
- THE VELDKAMP SPACE OF THE SMALLEST SLIM DENSE NEAR HEXAGON
2009/08/31 by Richard M. Green, R. M. Green, Metod Saniga +1 · 1 citation
Mathematics · Physics and Astronomy · #Advanced Mathematical Theories and Applications #Advanced Topics in Algebra #Automorphism #Combinatorics #Computer science #Geometry #Graph theory and applications #Group (periodic table) #Hyperplane #Line (geometry) #Mathematics #Physics #Pure mathematics #Space (punctuation) #Type (biology) #hep-th #math-ph #math.MP #quant-ph
- A Note on the Behavior of the Randomized Kaczmarz Algorithm of Strohmer and Vershynin
2009/05/27 by Yair Censor, Gabor T. Herman, Gábor T. Herman +1 · 1 citation
Engineering · Mathematics · #Advanced Optimization Algorithms Research #Algebraic equation #Algorithm #Applied mathematics #Combinatorics #Function (biology) #Hyperplane #Intersection (aeronautics) #Mathematics #Nonlinear system #Numerical methods in inverse problems #Sparse and Compressive Sensing Techniques
- Finite Memory Loading in Hairy Neurons
2006/01/19 by Cheng-Yuan Liou, Cheng‐Yuan Liou, Shiao-Lin Lin · 1 citation
Computer Science · Mathematics · Neuroscience · #Algorithm #Artificial intelligence #Artificial neural network #Associative property #Asynchronous communication #Computer science #Content-addressable memory #Hypercube #Hyperplane #Mathematics #Neural Networks and Applications #Neural Networks and Reservoir Computing #Neural dynamics and brain function #Parallel computing #Process (computing) #Theoretical computer science #Theory of computation
- Optimal entanglement witnesses for continuous-variable systems
2005/10/31 by P. Hyllus, J. Eisert, Jens Eisert · 3 citations
Computer Science · Mathematics · Physics and Astronomy · #Applied mathematics #Combinatorics #Computer science #Entanglement witness #Gaussian #Hyperplane #Mathematics #Multipartite entanglement #Physics #Product (mathematics) #Quantum Computing Algorithms and Architecture #Quantum Information and Cryptography #Quantum Mechanics and Applications #Quantum entanglement #Quantum mechanics #Set (abstract data type) #Squashed entanglement #Statistical physics #quant-ph
- The Projective Geometry of Freudenthal's Magic Square
2001/05/01 by J.M Landsberg, J. M. Landsberg, Laurent Manivel +1 · 1 citation
Mathematics · #Advanced Combinatorial Mathematics #Advanced Topics in Algebra #Algebra over a field #Algebraic geometry #Algebraic structures and combinatorial models #Discriminant #Geometric invariant theory #Geometry #Hyperplane #Invariant (physics) #Invariant theory #Magic square #Mathematical analysis #Mathematics #Projective geometry #Pure mathematics #Quartic function #Square (algebra)
- Laurent Determinants and Arrangements of Hyperplane Amoebas
2000/04/01 by Mikael Forsberg, Mikael Passare, August Tsikh · 19 citations
Mathematics · #Algebraic Geometry and Number Theory #Amoeba (genus) #Combinatorics #Complement (music) #Homotopy and Cohomology in Algebraic Topology #Hyperplane #Laurent polynomial #Laurent series #Mathematics #Pure mathematics
- Quantum Lefschetz hyperplane theorem
2000/03/31 by Y.-P. Lee, Yuan-Pin Lee · 2 citations
Computer Science · Mathematics · #Algebraic Geometry and Number Theory #Commutative Algebra and Its Applications #Hyperplane #Polynomial and algebraic computation #Projective space #Projective test #Projective variety #Quantum #Relation (database) #Type (biology) #Variety (cybernetics) #math.AG
- A family of affine Weyl group representations
1997/12/01 by Eric Sommers, E. Sommers · 3 citations
Mathematics · #Advanced Algebra and Geometry #Advanced Combinatorial Mathematics #Affine Lie algebra #Affine coordinate system #Affine geometry #Affine group #Affine hull #Affine representation #Affine space #Affine transformation #Algebra over a field #Algebraic structures and combinatorial models #Cohomology #Combinatorics #Current algebra #Group (periodic table) #Hyperplane #Lie algebra #Mathematics #Pure mathematics #Verma module #Weyl group
- The braid monodromy of plane algebraic curves and hyperplane arrangements
1996/08/02 by Daniel C. Cohen, Alexander I. Suciu · 1 citation
Mathematics · #Advanced Combinatorial Mathematics #Algebra over a field #Algebraic Geometry and Number Theory #Braid #Braid group #Braid theory #Combinatorics #Complement (music) #Fundamental group #Geometric and Algebraic Topology #Homomorphism #Hyperplane #Mathematics #Monodromy #Pure mathematics #alg-geom #math.AG #msc:05B35 #msc:14H30 #msc:20F36 #msc:32S25 #msc:52B30 #msc:57M05
- Algorithms for ham-sandwich cuts
1994/04/01 by Chi-Yuan Lo, Jiřı́ Matoušek, J. Matoušek +2 · 1 citation
Computer Science · Engineering · Mathematics · #Algorithm #Combinatorics #Computational Geometry and Mesh Generation #Digital Image Processing Techniques #Discrete mathematics #Disjoint sets #Hyperplane #Mathematical analysis #Mathematics #Optimization and Packing Problems #Running time #Time complexity #Upper and lower bounds
- On the sum of squares of cell complexities in hyperplane arrangements
1994/02/01 by Boris Aronov, Jir̆í Matous̆ek, Micha Sharir · 1 citation
Computer Science · Engineering · Mathematics · #Artificial intelligence #Bounding overwatch #Combinatorics #Computational Geometry and Mesh Generation #Computer science #Dimension (graph theory) #Discrete mathematics #Hyperplane #Mathematical analysis #Mathematics #Point processes and geometric inequalities #Upper and lower bounds #graph theory and CDMA systems
- Point Location in Arrangements of Hyperplanes
1993/10/01 by S. Meiser, Stefan Meiser · 2 citations
Computer Science · Engineering · Mathematics · #Combinatorics #Complexity and Algorithms in Graphs #Computational Geometry and Mesh Generation #Computer science #Discrete mathematics #Exponential function #Geometry #Hyperplane #Mathematical analysis #Mathematics #Optimization and Packing Problems #Point (geometry) #Polynomial #Space (punctuation) #Time complexity
- Arrangements of Hyperplanes
1992/01/01 by Peter Orlik, Hiroaki Terao · 3 citations
Computer Science · Engineering · Mathematics · #Advanced Graph Theory Research #Combinatorics #Computer science #Hyperplane #Mathematics #Mathematics and Applications #graph theory and CDMA systems
- On k-Hulls and Related Problems
1987/02/01 by Richard Cole, Micha Sharir, Chee Yap · 3 citations
Computer Science · Engineering · Mathematics · #Computational Geometry and Mesh Generation #Optimization and Packing Problems #Data Management and Algorithms #Hull #Hyperplane #Mathematics #Combinatorics #Set (abstract data type) #Dimension (graph theory) #Point (geometry) #Parametric statistics #Convex hull #Space (punctuation) #Discrete mathematics #Geometry #Computer science
- Constructing Arrangements of Lines and Hyperplanes with Applications
1986/05/01 by Herbert Edelsbrunner, Joseph O’Rourke, Raimund Seidel · 4 citations
Computer Science · Mathematics · #Computational Geometry and Mesh Generation #Data Management and Algorithms #Digital Image Processing Techniques #Hyperplane #Mathematics #Degeneracy (biology) #Voronoi diagram #Combinatorics #Euclidean space #Euclidean geometry #Discrete mathematics #Finite set #Upper and lower bounds
- A Partial Order on the Regions of R n Dissected by Hyperplanes
1984/06/01 by Paul H. Edelman · 1 citation
Engineering · Mathematics · #graph theory and CDMA systems #Graph theory and applications #Point processes and geometric inequalities #Mathematics #Hyperplane #Order (exchange) #Combinatorics #Pure mathematics
- Facing up to arrangements: face-count formulas for partitions of space by hyperplanes
1975/01/01 by Thomas Zasĺavsky, Thomas Zaslavsky · 3 citations
Mathematics · #Advanced Combinatorial Mathematics #Combinatorics #Computer science #Face (sociological concept) #Hyperplane #Limits and Structures in Graph Theory #Mathematics #Mathematics and Applications #Social science #Sociology #Space (punctuation)
- The Magic Square of Three in Old Chinese Philosophy and Religion
1961/07/01 by Schuyler Cammann · 1 citation
Energy · Mathematics · #Archaeology #Art #Art history #Combinatorics #History #Hyperplane #Magic square #Mathematics #Photovoltaic System Optimization Techniques #Requisition
- The Lefschetz Theorem on Hyperplane Sections
1959/05/01 by Aldo Andreotti, Theodore Frankel · 1 citation
Mathematics · #Advanced Combinatorial Mathematics #Geometric and Algebraic Topology #Algebraic Geometry and Number Theory #Mathematics #Hyperplane #Pure mathematics #Combinatorics #Discrete mathematics
- On the Distribution of the Likelihood Ratio
1954/09/01 by Herman Chernoff · 50 citations
Computer Science · Mathematics · #Advanced Statistical Methods and Models #Bayesian Methods and Mixture Models #Combinatorics #Distribution (mathematics) #Hyperplane #Lambda #Likelihood-ratio test #Mathematical analysis #Mathematics #Matrix (chemical analysis) #Multivariate normal distribution #Multivariate statistics #Point processes and geometric inequalities #Statistics