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SIAM Journal on Applied Dynamical Systems, ISSN 1536-0040, 2017, Volume 16, Issue 1, pp. 375 - 409
Journal Article
ACM Transactions on Economics and Computation (TEAC), ISSN 2167-8375, 08/2016, Volume 4, Issue 4, pp. 1 - 24
We introduce the notion of local computation mechanism design -designing game-theoretic mechanisms that run in polylogarithmic time and space. Local... 
Local computation algorithms | mechanism design | stable matching | Stable matching | Mechanism design
Journal Article
Journal of Computational and Applied Mathematics, ISSN 0377-0427, 11/2016, Volume 306, pp. 53 - 68
Moments are important characteristics of digital signals and images and are commonly used for their description and classification. When calculating the... 
Moment invariants | Polynomials | Moments | Pascal triangle | Orthogonal moments | Stable calculations | MATHEMATICS, APPLIED | ACCURATE COMPUTATIONS | PATTERN-RECOGNITION | INVARIANTS | MATRICES | IMAGE-ANALYSIS | Pascal (programming language) | Stability | Computation | Mathematical analysis | Triangles | Instability | Mathematical models | Binomials
Journal Article
JOURNAL OF SYMBOLIC LOGIC, ISSN 0022-4812, 12/2013, Volume 78, Issue 4, pp. 1086 - 1114
We present definitions of homology groups H-n (p), n >= 0, associated to a complete type p. We show that if the generalized amalgamation properties hold, then... 
MATHEMATICS | model theory | strong types in stable theories | Amalgamation functors | homology groups | AMALGAMATION | LOGIC | groupoids
Journal Article
Advanced Nonlinear Studies, ISSN 1536-1365, 02/2008, Volume 8, Issue 1, pp. 1 - 17
We identify using the rational S-1-cohomology of the space C-beta the odd generators of the homology for contact forms defined in [3]. 
Stable manifold | Orbits critical points | Vector-field | Homology | Variational | Index | Unstable manifold | MATHEMATICS | MATHEMATICS, APPLIED | homology | variational | stable manifold | vector-field | index | unstable manifold | orbits critical points
Journal Article
Celestial Mechanics and Dynamical Astronomy, ISSN 0923-2958, 10/2009, Volume 105, Issue 1, pp. 3 - 17
We compute the weak stability boundary in the planar circular restricted three-body problem starting from the algorithmic definition, and its generalization by... 
Restricted three-body problem | Ballistic capture | Weak stability boundary | Lyapunov orbits | Invariant manifolds | Stable sets | MATHEMATICS, INTERDISCIPLINARY APPLICATIONS | ASTRONOMY & ASTROPHYSICS | CAPTURE | Aerospace engineering | Jupiter | Astrophysics | Algorithms | Sun
Journal Article
IEEE Transactions on Instrumentation and Measurement, ISSN 0018-9456, 04/2011, Volume 60, Issue 4, pp. 1469 - 1479
Journal Article
Journal of Computational and Graphical Statistics, ISSN 1061-8600, 04/2018, Volume 27, Issue 2, pp. 268 - 277
We present a hierarchical decomposition scheme for computing the n-dimensional integral of multivariate normal probabilities that appear frequently in... 
Max-stable process | Hierarchical low-rank structure | Multivariate cumulative distribution function | Multivariate skew-normal distribution | Spatial statistics | MATRICES | STATISTICS & PROBABILITY | ALGORITHMS | Decomposition | Approximation | Covariance matrix | Workstations | Covariance | Structural hierarchy
Journal Article
The Journal of Symbolic Logic, ISSN 0022-4812, 12/2013, Volume 78, Issue 4, pp. 1086 - 1114
We present definitions of homology groups Hn(p), n > 0, associated to a complete type p. We show that if the generalized amalgamation properties hold, then the... 
Morphisms | Homomorphisms | Algebra | Logical theorems | Model theory | Category theory | Amalgamation properties | Functors | Automorphisms | Vertices | Groupoids | Amalgamation functors | Strong types in stable theories | Homology groups | Homology theory (Mathematics) | Usage | Analysis | Tests, problems and exercises | Mathematical notation
Journal Article
Journal of Computational Science, ISSN 1877-7503, 05/2018, Volume 26, pp. 22 - 27
Journal Article
SIAM Journal on Matrix Analysis and Applications, ISSN 0895-4798, 2015, Volume 36, Issue 3, pp. 1143 - 1163
The leverage scores of a full-column rank matrix A are the squared row norms of any orthonormal basis for range (A). We show that corresponding leverage scores... 
Stable rank | Condition number | Componentwise perturbations | Principal angles | Row-scaling | REGRESSION | MATRIX | MATHEMATICS, APPLIED | PERTURBATION BOUNDS | CHOLESKY | APPROXIMATION | stable rank | principal angles | componentwise perturbations | COHERENCE | row-scaling | condition number
Journal Article
Energy Education Science and Technology Part A: Energy Science and Research, ISSN 1308-772X, 11/2014, Volume 32, Issue 5, pp. 3381 - 3388
Journal Article
SIAM Journal on Matrix Analysis and Applications, ISSN 0895-4798, 2015, Volume 36, Issue 1, pp. 110 - 137
Given a real matrix A with n columns, the problem is to approximate the Gram product AA(T) by c << n weighted outer products of columns of A. Necessary and... 
Stable rank | Matrix concentration inequalities | Leverage scores | Unbiased estimator | Coherence | Singular value decomposition | matrix concentration inequalities | MONTE-CARLO ALGORITHMS | REGRESSION | MATHEMATICS, APPLIED | unbiased estimator | coherence | MULTIPLICATION | stable rank | singular value decomposition | leverage scores
Journal Article
Journal of Symbolic Computation, ISSN 0747-7171, 03/2013, Volume 50, pp. 263 - 290
Let be a monomial strongly stable ideal. The collection of the homogeneous polynomial ideals , such that the monomials outside form a -vector basis of , is... 
Hilbert scheme | Strongly stable ideal | Polynomial reduction relation | MATHEMATICS, APPLIED | HILBERT SCHEMES | INITIAL IDEALS | GROBNER BASES | COMPUTER SCIENCE, THEORY & METHODS
Journal Article
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