1. Stable generative modeling using Schrödinger bridges
   2024/01/09 by Georg A. Gottwald, Fengyi Li, Gottwald, Georg A. +4 · 3 citations
   Computer Science · Mathematics · Physics and Astronomy · #60H10 #62F15 #62F30 #65C05 #65C40 #Algorithm #Applied mathematics #Artificial intelligence #Computation (stat.CO) #Computer science #Context (archaeology) #Convex hull #Diffusion #FOS: Computer and information sciences #FOS: Mathematics #Generative Adversarial Networks and Image Synthesis #Generative grammar #Generative model #Kernel (algebra) #Langevin dynamics #Langevin equation #Machine Learning (cs.LG) #Machine Learning (stat.ML) #Machine Learning in Healthcare #Machine learning #Mathematical optimization #Mathematics #Model Reduction and Neural Networks #Numerical Analysis (math.NA) #Physics #Regular polygon #Sampling (signal processing) #Stability (learning theory) #Statistical physics #Statistics #Stochastic differential equation
2. A non-monotone trust-region method with noisy oracles and additional sampling
   2023/07/19 by Nataša Krejić, Krejic, Natasa, Nataša Krklec Jerinkić +5 · 2 citations
   Computer Science · Engineering · Mathematics · #65K05 #90C06 #90C30 #90C53 #90C90 #Algorithm #Artificial intelligence #Artificial neural network #Computer science #Convergence (economics) #FOS: Mathematics #Function (biology) #Gradient method #Machine Learning and ELM #Mathematical optimization #Mathematics #Monotone polygon #Nonlinear system #Optimization and Control (math.OC) #Regular polygon #Sample (material) #Sample size determination #Sparse and Compressive Sensing Techniques #Statistics #Stochastic Gradient Optimization Techniques #Trust region
3. Rigidity for general semiconvex entire solutions to the sigma-2 equation
   2021/07/30 by Ravi Shankar, Yu Yuan, Shankar, Ravi +1 · 1 citation
   Mathematics · #Advanced Differential Equations and Dynamical Systems #Analysis of PDEs (math.AP) #Analytic and geometric function theory #Applied mathematics #FOS: Mathematics #Geometry #Mathematical analysis #Mathematics #Meromorphic and Entire Functions #Physics #Polynomial #Pure mathematics #Quadratic equation #Regular polygon #Rigidity (electromagnetism) #Sigma
4. A Practical Method to Cover Evenly a Dynamic Region With a Swarm
   2021/02/08 by Enrique Teruel, Rosario Aragüés, Gonzalo López‐Nicolás · 1 citation
   Computer Science · Engineering · Mathematics · #Distributed Control Multi-Agent Systems #Modular Robots and Swarm Intelligence #Robotic Path Planning Algorithms #Cover (algebra) #Robot #Voronoi diagram #Computation #Swarm behaviour #Computer science #Regular polygon #Feed forward #Algorithm #Artificial intelligence #Mathematics #Control engineering #Engineering #Geometry
5. Split-Douglas-Rachford algorithm for composite monotone inclusions and\n Split-ADMM
   2021/01/27 by Luis M. Briceño-Arias, Fernando Roldán, Briceño-Arias, Luis M. +2 · 1 citation
   Computer Science · Engineering · Mathematics · #47H05 #47H10 #49M29 #65K05 #65K15 #90C25 #Algorithm #Applied mathematics #Convergence (economics) #Convex optimization #FOS: Mathematics #Generalization #Hilbert space #I.4.4 #Linear map #Mathematical analysis #Mathematics #Monotone polygon #Numerical methods in inverse problems #Operator (biology) #Optimization and Control (math.OC) #Optimization and Variational Analysis #Pure mathematics #Regular polygon #Sparse and Compressive Sensing Techniques
6. A Non-cooperative Game-based Distributed Beam Scheduling Framework for 5G Millimeter-Wave Cellular Networks
   2020/12/21 by Xiang Zhang, Shamik Sarkar, Zhang, Xiang +7 · 1 citation
   Computer Science · Engineering · Mathematics · #Advanced MIMO Systems Optimization #Algorithm #Computer science #Convex function #Convex optimization #Cooperative Communication and Network Coding #Distributed computing #FOS: Computer and information sciences #Information Theory (cs.IT) #Lyapunov equation #Lyapunov optimization #Mathematical optimization #Mathematics #Millimeter-Wave Propagation and Modeling #Nash equilibrium #Optimization problem #Potential game #Regular polygon #Scheduling (production processes)
7. Locally Differentially Private (Contextual) Bandits Learning
   2020/06/01 by Kai Zheng, Tianle Cai, Zheng, Kai +7 · 7 citations
   Computer Science · Decision Sciences · Mathematics · #Advanced Bandit Algorithms Research #Artificial intelligence #Black box #Combinatorics #Computer science #Context (archaeology) #FOS: Computer and information sciences #Machine Learning (cs.LG) #Machine Learning (stat.ML) #Machine Learning and Algorithms #Machine learning #Mathematical optimization #Mathematics #Omega #Point (geometry) #Regret #Regular polygon #Simple (philosophy) #Stochastic Gradient Optimization Techniques #Tilde
8. Using symbolic calculations to determine largest small polygons
   2020/05/04 by Charles Audet, Pierre Hansen, Dragutin Svrtan · 1 citation
   Earth and Planetary Sciences · Mathematics · Physics and Astronomy · #Astronomy and Astrophysical Research #Axial symmetry #Combinatorics #Conjecture #Convex polygon #Degree (music) #Degree of a polynomial #Diagonal #Geometry #Integer (computer science) #Mathematical analysis #Mathematics #Mathematics and Applications #Paleontology and Evolutionary Biology #Polygon (computer graphics) #Polynomial #Regular polygon #Symmetry (geometry) #Unit (ring theory)
9. A proof of Onsager's conjecture
   2018/10/19 by Philip Isett · 2 citations
   Mathematics · Engineering · #Navier-Stokes equation solutions #Fluid Dynamics and Turbulent Flows #Geometric Analysis and Curvature Flows #Regular polygon #Conjecture #Exponent #Mathematics #Class (philosophy) #Alpha (finance) #Energy (signal processing) #Combinatorics #Pure mathematics #Mathematical analysis #Discrete mathematics #Geometry #Computer science #Statistics
10. A Variable Sample-size Stochastic Quasi-Newton Method for Smooth and Nonsmooth Stochastic Convex Optimization
    2018/04/15 by Afrooz Jalilzadeh, Jalilzadeh, Afrooz, Angelia Nedich +5 · 2 citations
    Computer Science · Decision Sciences · Engineering · Mathematics · #Applied mathematics #Computer science #Convex function #Convex optimization #Convexity #FOS: Mathematics #Geometry #Hessian matrix #Mathematical analysis #Mathematical optimization #Mathematics #Optimization and Control (math.OC) #Rate of convergence #Regular polygon #Risk and Portfolio Optimization #Smoothing #Smoothness #Sparse and Compressive Sensing Techniques #Statistics #Stochastic Gradient Optimization Techniques #Sublinear function
11. Multivariate second order Poincaré inequalities for Poisson functionals
    2018/03/29 by Matthias Schulte, J. E. Yukich, Schulte, Matthias +1 · 1 citation
    Mathematics · #60D05 #60F05 #Advanced Combinatorial Mathematics #Applied mathematics #Combinatorics #Covariance #FOS: Mathematics #Gaussian #Mathematics #Matrix t-distribution #Multivariate normal distribution #Multivariate statistics #Order (exchange) #Physics #Point processes and geometric inequalities #Poisson distribution #Probability (math.PR) #Pure mathematics #Random Matrices and Applications #Regular polygon #Statistics #Stein's method #Univariate
12. Approximation of functions by a new family of generalized Bernstein operators
    2017/01/05 by Xiaoyan Chen, Jieqing Tan, Zhi Liu +2 · 1 citation
    Mathematics · #Applied mathematics #Approximation Theory and Sequence Spaces #Baskakov operator #Bernstein polynomial #Brouwer fixed-point theorem #Convex function #Danskin's theorem #Fixed-point theorem #Fourier integral operator #Generalization #Interpolation (computer graphics) #Iterative Methods for Nonlinear Equations #Mathematical Approximation and Integration #Mathematical analysis #Mathematical proof #Mathematics #Microlocal analysis #Modulus of continuity #Monotonic function #Operator (biology) #Operator theory #Pure mathematics #Rate of convergence #Regular polygon #Shift theorem #Type (biology)
13. Viscosity solutions for junctions: well posedness and stability
    2016/08/12 by P. -L. Lions, Pierre Louis Lions, Panagiotis E. Souganidis +3 · 2 citations
    Mathematics · Physics and Astronomy · #35B51 #35F21 #49L20 #49L25 #Algorithm #Analysis of PDEs (math.AP) #Applied mathematics #Computer science #Constraint (computer-aided design) #Convex optimization #Domain (mathematical analysis) #FOS: Mathematics #Geometry #Hamilton–Jacobi equation #Limit (mathematics) #Markov Chains and Monte Carlo Methods #Mathematical analysis #Mathematics #Nonlinear Partial Differential Equations #Physics #Quantum chaos and dynamical systems #Regular polygon #Stability (learning theory) #State (computer science) #Thermodynamics #Type (biology) #Viscosity #Viscosity solution #math.AP #msc:35B51 #msc:35F21 #msc:49L20 #msc:49L25
14. Adaptive Smoothing Algorithms for Nonsmooth Composite Convex Minimization
    2015/09/01 by Quoc Tran-Dinh, Tran-Dinh, Quoc · 1 citation
    Engineering · Mathematics · #Algorithm #Computer science #Convergence (economics) #Convex function #Convex optimization #FOS: Computer and information sciences #FOS: Mathematics #Iterated function #Machine Learning (stat.ML) #Mathematical optimization #Mathematics #Numerical methods in inverse problems #Optimization and Control (math.OC) #Photoacoustic and Ultrasonic Imaging #Regular polygon #Sequence (biology) #Smoothing #Smoothness #Sparse and Compressive Sensing Techniques #math.OC #stat.ML
15. Finding equal-diameter triangulations in polygons
    2014/06/08 by András Bezdek, Ted Bisztriczky · 1 citation
    Computer Science · Mathematics · #Combinatorics #Computational Geometry and Mesh Generation #Computer science #Constructive #Data Management and Algorithms #Digital Image Processing Techniques #Geometry #Mathematics #Perimeter #Polygon (computer graphics) #Polygon covering #Rectilinear polygon #Regular polygon #Simple (philosophy) #Simple polygon #Star-shaped polygon
16. Convex Optimization: Algorithms and Complexity
    2014/05/31 by Sébastien Bubeck · 2 citations
    Computer Science · Engineering · Mathematics · #Algorithm #Artificial intelligence #Combinatorics #Complexity and Algorithms in Graphs #Computer science #Convex optimization #Gradient descent #Mathematical optimization #Mathematics #Optimization problem #Randomness #Regular polygon #Relaxation (psychology) #Saddle point #Sparse and Compressive Sensing Techniques #Stochastic Gradient Optimization Techniques #Stochastic gradient descent #Stochastic optimization #Sublinear function
17. Necessary and sufficient conditions for the validity of Jensen’s inequality
    2013/06/01 by Allal Guessab, A. Guessab, G. Schmeisser +1 · 1 citation
    Computer Science · Mathematics · #Combinatorics #Convex analysis #Convex function #Convex optimization #Convex set #Discrete mathematics #Function (biology) #Functional Equations Stability Results #Jensen's inequality #Mathematical Inequalities and Applications #Mathematics #Optimization and Variational Analysis #Pure mathematics #Regular polygon #Space (punctuation) #Sublinear function
18. Edge Tessellations and Stamp Folding Puzzles
    2011/09/22 by Matthew Kirby, Ronald Umble · 3 citations
    Mathematics · Computer Science · Engineering · #Mathematics and Applications #Computational Geometry and Mesh Generation #Advanced Materials and Mechanics #Isosceles triangle #Equilateral triangle #Mathematics #Combinatorics #Rectangle #Polygon (computer graphics) #Folding (DSP implementation) #Tessellation (computer graphics) #Hexagonal tiling #Rhombus #Centroidal Voronoi tessellation #Conjecture #Regular polygon #Enhanced Data Rates for GSM Evolution #Geometry #Voronoi diagram #Computer science #Grid #Artificial intelligence
19. 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)
20. The Pentagram Map: A Discrete Integrable System
    2010/06/23 by Valentin Ovsienko, Richard Schwartz, Richard Evan Schwartz +1 · 2 citations
    Mathematics · Physics and Astronomy · #Algebraic structures and combinatorial models #Computer science #Geometry #Homotopy and Cohomology in Algebraic Topology #Integrable system #Mathematical analysis #Mathematics #Monodromy #Nonlinear Waves and Solitons #Poisson manifold #Polygon (computer graphics) #Pure mathematics #Regular polygon #Space (punctuation) #Transformation (genetics)
21. The dodecahedral conjecture
    2009/10/27 by Thomas Hales, Sean McLaughlin · 1 citation
    Mathematics · Physics and Astronomy · Engineering · #Mathematics and Applications #Advanced Mathematical Theories and Applications #Advanced Theoretical and Applied Studies in Material Sciences and Geometry #Dodecahedron #Mathematics #Polyhedron #Conjecture #RADIUS #Voronoi diagram #Unit (ring theory) #Combinatorics #Volume (thermodynamics) #Unit sphere #Mixed volume #Geometry #Regular polygon #Convex body #Physics #Computer science #Mathematics education
22. Equidissections of kite-shaped quadrilaterals
    2009/03/18 by Charles H. Jepsen, Trevor Sedberry, Rolf Hoyer · 1 citation
    Mathematics · Engineering · #Mathematics and Applications #Advanced Differential Equations and Dynamical Systems #Control and Dynamics of Mobile Robots #Kite #Quadrilateral #Combinatorics #Mathematics #Regular polygon #Line (geometry) #Geometry #Physics #Finite element method
23. Lower bounds on the coefficients of Ehrhart polynomials
    2008/04/21 by Martin Henk, Makoto Tagami · 1 citation
    Agricultural and Biological Sciences · Mathematics · #Advanced Combinatorial Mathematics #Advanced Mathematical Identities #Botanical Research and Chemistry #Combinatorics #Convex optimization #Convex polytope #Convex set #Counterexample #Discrete mathematics #Geometry #Lattice (music) #Mathematical analysis #Mathematics #Physics #Polytope #Regular polygon #Series (stratigraphy) #Upper and lower bounds
24. Amb Breaks Well-Pointedness, Ground Amb Doesn't
    2007/04/01 by Paul Blain Levy · 1 citation
    Computer Science · Mathematics · #Logic, programming, and type systems #Logic, Reasoning, and Knowledge #Advanced Algebra and Logic #Denotational semantics #Operational semantics #Normalisation by evaluation #Denotational semantics of the Actor model #Computer science #Regular polygon #Lemma (botany) #Algebra over a field #Semantics (computer science) #Theoretical computer science #Discrete mathematics #Programming language #Mathematics #Pure mathematics
25. Unbounded orbits for outer billiards I
    2007/01/01 by Richard Evan Schwartz · 1 citation
    Mathematics · #Mathematical Dynamics and Fractals #Mathematics and Applications #Kite #Mathematics #Uncountable set #Orbit (dynamics) #Quadrilateral #Regular polygon #Polygon (computer graphics) #Pure mathematics #Geometry #Physics #Computer science
26. Convex and Discrete Geometry
    2007/01/01 by Peter M. Gruber · 1 citation
    Mathematics · #Computer science #Convex analysis #Convex geometry #Convex optimization #Discrete geometry #Geometry #Mathematics #Mathematics and Applications #Regular polygon
27. Riemannian Geometry
    2006/04/10 by Isaac Chavel · 1 citation
    Mathematics · #History and Theory of Mathematics #Riemannian geometry #Geometry #Geometry and topology #Curvature of Riemannian manifolds #Foundations of geometry #Sectional curvature #Synthetic geometry #Euclidean geometry #Ordered geometry #Curvature #Mathematics #Mathematical proof #Differential geometry #Non-Euclidean geometry #Euclidean space #Convex geometry #Absolute geometry #Space (punctuation) #Projective geometry #Scalar curvature #Regular polygon #Pure mathematics #Computer science
28. Acute Triangulations of Polygons
    2005/09/09 by Ileana Streinu · 1 citation
    Computer Science · Engineering · Mathematics · #Combinatorics #Computational Geometry and Mesh Generation #Computer science #Expansive #Geometry #Mathematics #Planar #Polygonal chain #Position (finance) #Regular polygon #Robotic Mechanisms and Dynamics #Simple (philosophy) #Structural Analysis and Optimization #Triangulation
29. Graph Drawing
    2004/01/01 by János Pach, Pach, János · 1 citation
    Arts and Humanities · Computer Science · Engineering · Mathematics · #3D Modeling in Geospatial Applications #Art, Technology, and Culture #Combinatorics #Computer science #Cultural Insights and Digital Impacts #Data Visualization and Analytics #Discrete mathematics #Geometric graph theory #Geometry #Graph #Graph Theory and Algorithms #Graph drawing #Line graph #Mathematics #Model-Driven Software Engineering Techniques #Planar graph #Regular polygon #Voltage graph
30. An algorithm reconstructing convex lattice sets
    2003/04/23 by Sara Brunetti, Alain Daurat · 2 citations
    Computer Science · Mathematics · Medicine · #Algorithm #Combinatorics #Convex analysis #Convex optimization #Convex set #Digital Image Processing Techniques #Discrete mathematics #Finite set #Geometry #Lattice (music) #Mathematical analysis #Mathematics #Medical Image Segmentation Techniques #Medical Imaging Techniques and Applications #Regular polygon #Social connectedness #Time complexity

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