- Polytope: An Algorithm for Efficient Feature Extraction on Hypercubes
2023/06/20 by Mathilde Leuridan, James Hawkes, Leuridan, Mathilde +7 · 1 citation
Computer Science · #68P20 #Algorithm #Artificial intelligence #Big data #Byte #Cartography #Computational Geometry (cs.CG) #Computer science #Data cube #Data extraction #Data mining #Database #Distributed and Parallel Computing Systems #E.1 #F.2.2 #FOS: Computer and information sciences #G.4 #Geography #H.3.1 #H.3.3 #Hypercube #Information Retrieval (cs.IR) #Interconnection Networks and Systems #J.2 #J.3 #Parallel Computing and Optimization Techniques #Parallel computing #Petabyte #Scale (ratio) #Theoretical computer science #Variety (cybernetics)
- Robust Estimators in High Dimensions without the Computational\n Intractability
2016/04/21 by Ilias Diakonikolas, Diakonikolas, Ilias, Gautam Kamath +10 · 28 citations
Computer Science · Mathematics · #Adversarial Robustness in Machine Learning #Algorithm #Combinatorics #Computer science #Cryptography #Data Structures and Algorithms (cs.DS) #Dimension (graph theory) #Discrete mathematics #Distribution (mathematics) #Dot product #Estimator #FOS: Computer and information sciences #FOS: Mathematics #Fraction (chemistry) #Gaussian #Hypercube #Information Theory (cs.IT) #Learning with errors #Machine Learning (cs.LG) #Machine Learning (stat.ML) #Machine Learning and Algorithms #Machine Learning and Data Classification #Mathematical optimization #Mathematics #Product (mathematics) #Statistics #Statistics Theory (math.ST) #Theoretical computer science #cs.DS #cs.IT #cs.LG #math.IT #math.ST #stat.ML #stat.TH
- Optimal Sliced Latin Hypercube Designs
2014/09/05 by Shan Ba, William R. Myers, William A. Brenneman · 13 citations
Computer Science · Decision Sciences · Engineering · Mathematics · #Advanced Multi-Objective Optimization Algorithms #Algorithm #Categorical variable #Column (typography) #Computer science #Hypercube #Latin hypercube sampling #Mathematical optimization #Mathematics #Monte Carlo method #Optimal Experimental Design Methods #Orthogonal array #Parallel computing #Permutation (music) #Space (punctuation) #Taguchi methods #VLSI and FPGA Design Techniques
- Graph pegging numbers
2008/04/07 by Geir T. Helleloid, Geir Helleloid, Madeeha Khalid +6 · 2 citations
Computer Science · Mathematics · #Advanced Graph Theory Research #Combinatorics #Discrete mathematics #Graph #Graph Labeling and Dimension Problems #Hypercube #Line graph #Mathematics #Vertex (graph theory) #math.CO #msc:05C35 #semigroups and automata theory
- Panconnectivity and pancyclicity of hypercube-like interconnection networks with faulty elements
2007/02/25 by Jung-Heum Park, Hyeong-Seok Lim, Hee‐Chul Kim +1 · 1 citation
Computer Science · Engineering · Materials Science · Mathematics · #Advanced Optical Network Technologies #Combinatorics #Computer network #Computer science #Discrete mathematics #Distributed computing #Fault tolerance #Graph #Graph power #Hypercube #Hypercube graph #Interconnection #Interconnection Networks and Systems #Line graph #Mathematics #Supercapacitor Materials and Fabrication
- Efficient Nearly Orthogonal and Space-Filling Latin Hypercubes
2007/01/23 by Thomas M Cioppa, Thomas M. Cioppa, Thomas W. Lucas +1 · 8 citations
Computer Science · Decision Sciences · Mathematics · #A priori and a posteriori #Advanced Multi-Objective Optimization Algorithms #Algorithm #Computer experiment #Computer science #Flexibility (engineering) #Hypercube #Latin hypercube sampling #Mathematical optimization #Mathematics #Matrix (chemical analysis) #Monte Carlo method #Optimal Experimental Design Methods #Orthogonal array #Parallel computing #Physics #Probabilistic and Robust Engineering Design #Sample (material) #Simulation #Space (punctuation) #Statistics #Theoretical computer science
- The Number Of Unique-Sink Orientations of the Hypercube*
2006/02/01 by Jiřı́ Matoušek, Jiří Matoušek · 1 citation
Computer Science · Engineering · Mathematics · #Advanced Graph Theory Research #Ball (mathematics) #Combinatorics #Discrete mathematics #Geometry #Graph #Hypercube #Interconnection Networks and Systems #Mathematics #Regular polygon #Vertex (graph theory) #graph theory and CDMA systems
- The Cover Pebbling Theorem
2005/11/15 by Jonas Sjöstrand · 2 citations
Computer Science · Mathematics · #Advanced Graph Theory Research #Combinatorics #Conjecture #Cover (algebra) #Discrete mathematics #Geometry #Graph #Hypercube #Limits and Structures in Graph Theory #Mathematics #Product (mathematics) #Simple (philosophy) #Simple graph #Stochastic processes and statistical mechanics
- Unique sink orientations of cubes
2001/01/01 by Tibor Szabó, Emo Welzl · 1 citation
Computer Science · Mathematics · #Computational Geometry and Mesh Generation #Advanced Graph Theory Research #Complexity and Algorithms in Graphs #Combinatorics #Hypercube #Vertex (graph theory) #Sink (geography) #Mathematics #Discrete mathematics #Graph
- Two relations for median graphs
2001/01/01 by Riste Škrekovski · 1 citation
Computer Science · Mathematics · #Advanced Graph Theory Research #Class (philosophy) #Combinatorics #Computer science #Discrete mathematics #Graph #Graph theory and applications #Hypercube #Interconnection Networks and Systems #Mathematics
- Recognizing median graphs in subquadratic time
1999/02/01 by Johann Hagauer, Wilfried Imrich, Sandi Klavžar · 1 citation
Computer Science · Mathematics · #1-planar graph #Advanced Graph Theory Research #Algorithm #Chordal graph #Cograph #Combinatorics #Complexity and Algorithms in Graphs #Discrete mathematics #Graph #Graph product #Hamming code #Hamming graph #Hypercube #Indifference graph #Line graph #Mathematics #Optimization and Search Problems #Pathwidth
- On crossing numbers of hypercubes and cube connected cycles
1993/06/01 by Ondřej Sýkora, Ondrej Sýkora, Imrich Vrt’o +1 · 1 citation
Computer Science · Engineering · Mathematics · #Advanced Graph Theory Research #Cartography #Combinatorics #Computer science #Crossing number (knot theory) #Cube (algebra) #Geography #Hypercube #Interconnection Networks and Systems #Mathematics #Parallel computing #VLSI and FPGA Design Techniques
- Edge Separators of Planar and Outerplanar Graphs With Applications
1993/03/01 by K. Diks, H.N. Djidjev, Hristo Djidjev +4 · 2 citations
Computer Science · Mathematics · #1-planar graph #Advanced Graph Theory Research #Book embedding #Chordal graph #Combinatorics #Computer science #Discrete mathematics #Embedding #Graph #Hypercube #Interconnection Networks and Systems #Line graph #Mathematics #Optimization and Search Problems #Outerplanar graph #Pathwidth #Planar #Planar graph #Upper and lower bounds
- Pebbling in Hypercubes
1989/11/01 by Fan Chung · 3 citations
Computer Science · Decision Sciences · Mathematics · #Advanced Graph Theory Research #Combinatorics #Cube (algebra) #Discrete mathematics #Game Theory and Applications #Graph #Hypercube #Mathematics #Optimization and Search Problems #Pebble #Vertex (graph theory)
- Large Sample Properties of Simulations Using Latin Hypercube Sampling
1987/05/01 by Michael L. Stein, Michael Stein · 53 citations
Decision Sciences · Engineering · Mathematics · #Applied mathematics #Asymptotically optimal algorithm #Computer science #Degree (music) #Discrete mathematics #Dynamics and Control of Mechanical Systems #Hypercube #Latin hypercube sampling #Mathematical optimization #Mathematics #Monte Carlo method #Probabilistic and Robust Engineering Design #Sample (material) #Sampling (signal processing) #Simple random sample #Simulation Techniques and Applications #Statistics #Variance (accounting) #Variance reduction
- Graphs Orientable as Distributive Lattices
1983/06/01 by Dwight Duffus, Ivan Rival · 1 citation
Computer Science · Mathematics · #Advanced Algebra and Logic #Rough Sets and Fuzzy Logic #Combinatorics #Distributive property #Mathematics #Indifference graph #Comparability graph #Discrete mathematics #Hypercube #Graph #Chordal graph #1-planar graph #Pure mathematics