Search Results - Convex and discrete geometry Polytopes and polyhedra $n$-dimensional polytopes. msc*

On the Simplex Method for 0/1-Polytopes.

Authors: Black, Alexander E. De Loera, Jesús A. Kafer, Sean et al.

Source: Mathematics of Operations Research; May2025, Vol. 50 Issue 2, p1398-1420, 23p

Subject Terms: SIMPLEX algorithm, COMBINATORIAL optimization, POLYTOPES, GEOMETRY, POLYNOMIALS

Company/Entity: NATIONAL Science Foundation (U.S.)

Classes of homothetic convex sets.

Authors: SOLTAN, VALERIU

Source: Extracta Mathematicae; 2024, Vol. 39 Issue 2, p135-171, 37p

Subject Terms: CONVEX sets, EUCLIDEAN geometry, ORTHOGRAPHIC projection, CHOQUET theory, TILING (Mathematics)

ECONOMICAL CONVEX COVERINGS AND APPLICATIONS.

Authors: ARYA, SUNIL DA FONSECA, GUILHERME D. MOUNT, DAVID M.

Source: SIAM Journal on Computing; 2024, Vol. 53 Issue 4, p1002-1038, 37p

Subject Terms: POINT set theory, UNIT ball (Mathematics), INTEGER programming, GEOMETRY, CONVEX bodies, POLYNOMIALS, APPROXIMATION algorithms

Proximity and Flatness Bounds for Linear Integer Optimization.

Authors: Celaya, Marcel Kuhlmann, Stefan Paat, Joseph et al.

Source: Mathematics of Operations Research; Nov2024, Vol. 49 Issue 4, p2446-2467, 22p

Subject Terms: INTEGER programming, CONVEX surfaces, INTEGERS, POLYHEDRA, HYPERPLANES

The Orlicz Electrostatic q -Capacity Minkowski Problem.

Authors: Zeng, Hui Liu, Lijuan Yin, Lu et al.

Source: Axioms (2075-1680); Feb2025, Vol. 14 Issue 2, p86, 14p

Subject Terms: MEASUREMENT

Unimodality for the free sum and product of Reflexive and Birkhoff polytopes.

Authors: Sadiq, Fatema A. Salman, Shatha A.

Source: Journal of Qadisiyah Computer Science & Mathematics; 2022, Vol. 14 Issue 2, p1-7, 7p

Subject Terms: EVERYDAY life

Manifolds Realized as Orbit Spaces of Non-free -Actions on Real Moment–Angle Manifolds.

Authors: Erokhovets, Nikolai Yu.

Source: Proceedings of the Steklov Institute of Mathematics; Sep2024, Vol. 326 Issue 1, p177-218, 42p

TRAVERSING COMBINATORIAL 0/1-POLYTOPES VIA OPTIMIZATION.

Authors: MERINO, ARTURO MÜTZE, TORSTEN

Source: SIAM Journal on Computing; 2024, Vol. 53 Issue 5, p1257-1292, 36p

Subject Terms: OPTIMIZATION algorithms, GRAY codes, COMBINATORIAL optimization, SPANNING trees, BIPARTITE graphs

Lifting for Simplicity: Concise Descriptions of Convex Sets.

Authors: Fawzi, Hamza Gouveia, Joao Parrilo, Pablo A. et al.

Source: SIAM Review; 2022, Vol. 64 Issue 4, p866-918, 53p

Subject Terms: CONVEX sets, LINEAR matrix inequalities, LAX pair, SUM of squares

Discrete Geometry and Symmetry : Dedicated to Károly Bezdek and Egon Schulte on the Occasion of Their 60th Birthdays

Authors: Marston D. E. Conder Antoine Deza Asia Ivić Weiss

Resource Type: eBook.

Subjects: Polytopes, Convex geometry, Discrete geometry, Combinatorial analysis, Mathematical optimization

Categories: MATHEMATICS / Geometry / Analytic, MATHEMATICS / Discrete Mathematics, MATHEMATICS / Geometry / General, MATHEMATICS / Optimization

TOWARDS LOWER BOUNDS ON THE DEPTH OF RELU NEURAL NETWORKS.

Authors: HERTRICH, CHRISTOPH BASU, AMITABH DI SUMMA, MARCO et al.

Source: SIAM Journal on Discrete Mathematics; 2023, Vol. 37 Issue 2, p997-1029, 33p

Subject Terms: LOGARITHMIC functions, LOGICAL prediction, GEOMETRY, SELF-expression

ALGEBRAIC ALGORITHMS FOR FRACTIONAL LINEAR MATROID PARITY VIA NONCOMMUTATIVE RANK.

Authors: TAIHEI OKI TASUKU SOMA

Source: SIAM Journal on Computing; 2025, Vol. 54 Issue 1, p134-162, 29p

Subject Terms: COMBINATORIAL optimization, ALGORITHMS, MATRICES (Mathematics)

Compatibility of intracellular binding: Evolutionary design principles for metal sensors.

Authors: Lenner, Nicolas Chariker, Logan Leibler, Stanislas

Source: Proceedings of the National Academy of Sciences of the United States of America; 5/6/2025, Vol. 122 Issue 18, p1-12, 2040p

Subject Terms: TRANSITION metals, BINDING constant, BINDING sites, PROBLEM solving, HOMEOSTASIS

Geographic Terms: IRVING (Tex.)

Solving Strong-Substitutes Product-Mix Auctions.

Authors: Baldwin, Elizabeth Goldberg, Paul W. Klemperer, Paul et al.

Source: Mathematics of Operations Research; Aug2024, Vol. 49 Issue 3, p1502-1534, 33p

Subject Terms: BIDS, ECONOMIC research, BID price, MODULAR design, PRICES, SOCIAL science research, AUCTIONS

Company/Entity: ECONOMIC & Social Research Council (Organization), J.P. Morgan Chase & Co.

EXACT QUANTIZATION OF MULTISTAGE STOCHASTIC LINEAR PROBLEMS.

Authors: FORCIER, MAEL GAUBERT, STEPHANE LECLERE, VINCENT

Source: SIAM Journal on Optimization; 2024, Vol. 34 Issue 1, p533-562, 30p

Subject Terms: POLYHEDRAL functions, DISTRIBUTION costs, GEOMETRIC quantization, STOCHASTIC programming

The complete classification of empty lattice 4-simplices.

Authors: Iglesias-Valino, Oscar Santos, Francisco

Source: Revista Mathemática Iberoamericana; 2021, Vol. 37 Issue 6, p2399-2432, 34p

Subject Terms: CLASSIFICATION, POLYTOPES, LOGICAL prediction, EVIDENCE, MOTIVATION (Psychology)

The character of Thurston's circle packings.

Authors: Ge, Huabin Lin, Aijin

Source: SCIENCE CHINA Mathematics; Jul2024, Vol. 67 Issue 7, p1623-1640, 18p

Moduli space reconstruction and Weak Gravity.

Authors: Gendler, Naomi Heidenreich, Ben McAllister, Liam et al.

Source: Journal of High Energy Physics; Dec2023, Vol. 2023 Issue 12, p1-44, 44p

Subject Terms: GEOMETRIC quantum phases, GRAVITY, ALGEBRAIC geometry, DIFFERENTIAL geometry, HYPERSURFACES, TORIC varieties

TIGHTER BOUNDS FOR THE DISCREPANCY OF BOXES AND POLYTOPES.

Authors: NIKOLOV, ALEKSANDAR

Source: Mathematika; 2017, Vol. 63 Issue 3, p1091-1113, 23p

Construction of Scalar and Vector Finite Element Families on Polygonal and Polyhedral Meshes.

Authors: Gillette, Andrew Rand, Alexander Bajaj, Chandrajit

Source: Computational Methods in Applied Mathematics; Oct2016, Vol. 16 Issue 4, p667-683, 17p, 1 Diagram, 5 Charts