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321
Hardness of Parameter Estimation in Graphical Models
Published 2016“…Our reduction entails showing that the marginal polytope boundary has an inherent repulsive property, which validates an optimization procedure over the polytope that does not use any knowledge of its structure (as required by the ellipsoid method and others).…”
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322
A Solution of the Energy Minimization Problem for Codes of Codimension 1
Published 2023“…We also investigate the polytope of quasicodes, where we give a symmetry and a list of vertices in some special cases.…”
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323
Design of Processor Array Based on an Optimized Multiprojection Approach
Published 2012-11-01“…In this work, an optimized multiprojection approach based on the Polytope model is proposed as well as an automated way for getting the scheduler and the allocator vectors. …”
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324
Topological superfluid defects with discrete point group symmetries
Published 2022-08-01“…Here the authors demonstrate, in atomic spinor Bose–Einstein condensates, previously unobserved vortex line defects with discrete polytope symmetries, which are of interest to quantum information applications.…”
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325
On the stability of certain perturbed systems of differential equations and the relationship with the magnitude of the perturbation
Published 2010-04-01“…In this work we consider a class of polytopes of third order square matrices, studied early. …”
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326
Extending the Birkhoff-von Neumann switching strategy to multicast switching
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327
Combinatorial aspects of scattering amplitudes: amplituhedra, T-duality, and cluster algebras
Published 2021“…On one side, the hypersimplex Delta_{k+1,n} – a polytope which has been studied in connection with the moment map, torus orbits in the Grassmannian, tropical geometry and cluster algebras. …”
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328
Quick eVALUATION OF THE INTERVAL STABILITY OF THE LINEAR ASSIGNMENT problem SOLUTIONS
Published 2019-06-01“…Economical one-step transition to the nearest vertex of the polytope of problem one for all the edges of the optimal perfect matching is almost an order of magnitude reduces the computational complexity of evaluating the stability of the current optimal solution.…”
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329
Invariant sets for feedback linearisation based nonlinear predictive control
Published 2005“…This paper describes a method for calculating invariant/feasible sets with respect to feedback linearising control law for input-affine nonlinear systems. Polytope simplification and partial invariance/feasibility are used to reduce the conservativeness of the affine difference inclusion. …”
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330
Feynman diagrams in four-dimensional holomorphic theories and the Operatope
Published 2023-07-01“…We recast the integrals as the Fourier transform of a certain polytope in the space of loop momenta (a.k.a. the “Operatope”). …”
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331
A lattice point counting generalisation of the Tutte polynomial
Published 2020-04-01“…This polynomial is constructed using lattice point counts in the Minkowski sum of the base polytope of a polymatroid and scaled copies of the standard simplex. …”
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332
An Abundance of K3 Fibrations from Polyhedra with Interchangeable Parts
Published 2012“…Any two half-polytopes over a given slice can be combined into a reflexive polytope. …”
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333
Profinite and residual properties of fibred groups
Published 2024“…We explain how to construct the polytopes using topological representatives of the monodromy. …”
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334
Cosmology meets cohomology
Published 2024-03-01“…Abstract The cosmological polytope and bootstrap programs have revealed interesting connections between positive geometries, modern on-shell methods and bootstrap principles studied in the amplitudes community with the wavefunction of the Universe in toy models of FRW cosmologies. …”
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335
A general method for the manipulability analysis of serial robot manipulators
Published 2023-11-01“…In this article, a general methodology of using manipulability polytopes to characterize the manipulator’s capability to generate velocities, forces, and accelerations at the end-effector is proposed. …”
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336
Positive Configuration Space
Published 2021“…This space has a natural stratification by positive Chow cells, and we show that nonnegative configuration space is homeomorphic to a polytope as a stratified space. We establish bijections between positive Chow cells and the following sets: (a) regular subdivisions of the hypersimplex into positroid polytopes, (b) the set of cones in the positive tropical Grassmannian, and (c) the set of cones in the positive Dressian. …”
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337
On efficient computation of low-complexity controlled invariant sets for uncertain linear systems
Published 2010“…A method is presented for determining invariant low-complexity polytopic sets and associated linear feedback laws for linear systems with polytopic uncertainty. …”
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338
Equivariant Seidel maps and a flat connection on equivariant symplectic cohomology
Published 2021“…As an application, we compute these algebraic structures for a few specific examples and provide a method to compute them for toric manifolds using the moment polytope.…”
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339
Fusions of Consciousness
Published 2023-01-01“…The possible dynamics of <i>n</i> agents form an <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mi>n</mi><mo>(</mo><mi>n</mi><mo>−</mo><mn>1</mn><mo>)</mo></mrow></semantics></math></inline-formula>-dimensional polytope with <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><msup><mi>n</mi><mi>n</mi></msup></semantics></math></inline-formula> vertices—the <i>Markov polytope</i><inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><msub><mi mathvariant="script">M</mi><mi>n</mi></msub></semantics></math></inline-formula>. …”
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340
Local hidden variable values without optimization procedures
Published 2023-02-01“…In particular, this problem is the first step towards characterizing the LHV polytope of a given scenario. In this work, we establish a relation between the LHV value of bipartite Bell inequalities and the mathematical notion of excess of a matrix. …”
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