Low Discrepancy Sequences and Lattice Models
Large-Scale Quadratically Constrained Quadratic Program via Low-Discrepancy Sequences
... Mountain View, CA 94043 {kbasu, asaha, shchatte}@linkedin.com Abstract We consider the problem of solving a large-scale Quadratically Constrained Quadratic Program. Such problems occur naturally in many scientific and ...
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Aerodynamic Simulation of Low Mach Turbulent Jets with Lattice Boltzmann Models
... Here it’s called Guo model or D2G9 mode. In the article, the Lattice-Boltzmann and Guo model is used to stimulate the incompressible jet flow field (Ma ≤ 0.3), then the result of which is compared to the result ...
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Finding Low-Energy Conformations of Lattice Protein Models by Quantum Annealing
... the lattice, we encode the direction of each successive bond between amino acids; thus, for every N -bead sequence we need to specify N − 1 turns corresponding to the number of ...dimensional lattice, a ...
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Good intermediate-rank lattice rules based on the weighted star discrepancy
... Department of Mathematics, University of Waikato, Hamilton, New Zealand ∗ E-mails: [email protected], [email protected] We study the problem of constructing good intermediate-rank lattice rules in ...
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Lattice and Lattice Gas Models for Commensalism: Two Shellfishes in Intertidal Zone
... In the case of lattice model, we can obtain the spatial patterns. In Figure 6, typical patterns in stationary state are illustrated, where the density of mussels is very low in (a), but it is relatively ...
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Self Attentional Models for Lattice Inputs
... The lattice model translates sequences by treat- ing them as lattices with only a single complete path and all transition probabilities set to ...the lattice model out- performs the sequential model ...
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Lattice models of nucleation from solution
... inexpensive lattice model, and it is, therefore, possible that the derived by us error estimation approach for the ”seeding” method does not yield the correct confidence bounds on barrier height and rate ...at ...
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Lattice models of amphiphile and solvent mixtures
... at low amphiphile ...common models of micelle formation, the micelle size increases significantly as the amphiphile concentration is increased above the critical micelle concentration and only a weak ...
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Linked-cluster Expansions for Lattice Spin Models
... [16], low-temperature expansions [17] and the linked- cluster ...and low-temperature expansions with detailed focus on the linked- cluster expansion, which is the concentration of the ...
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Neural Lattice to Sequence Models for Uncertain Inputs
... up-stream models are potentially ...alternative sequences and their poste- rior probabilities in a compact ...integrate lattice poste- rior scores into this architecture by extend- ing the TreeLSTM’s ...
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Generative Models and Model Criticism via Optimized Maximum Mean Discrepancy
... For ε ∈ { 1, 2, 4, 6, 8, 10 } , we take m = 500 samples from each distribution and compute [ MMD 2 U (X, Y ), V b m (X, Y ), and c ˆ 0.1 using 1 000 permutations, for Gaussian RBF kernels with each of 30 bandwidths. We ...
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Lattice Boltzmann models for non-equilibrium gas flows
... simulating low speed rarefied gas flows at the micro-scale and ...the lattice Boltzmann (LB) method has been successfully de- veloped as an alternative to Navier-Stokes ...these models to see whether ...
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The development of thermal lattice Boltzmann models in incompressible limit
... isothermal lattice Boltzmann equation can be directly obtained by properly discretizing the continuous Boltzmann equation in both time and space ...thermal lattice Boltzmann evolution equation can be ...
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Bayesian inference and predictive performance of soil respiration models in the presence of model discrepancy
... The models from Zhang et ...The models were calibrated, and Bayesian model selection was used to select the best model (Zhang et ...data models and by evaluating predictive performance us- ing ...two ...
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Existence and construction of shifted lattice rules with an arbitrary number of points and bounded weighted star discrepancy for general decreasing weights
... rank-1 lattice rules for the approximation of high-dimensional integrals with a low weighted star discrepancy, for classes of functions having bounded weighted variation, where the weighted variation ...
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THE CONSTRUCTION OF EXTENSIBLE POLYNOMIAL LATTICE RULES WITH SMALL WEIGHTED STAR DISCREPANCY
... polynomial lattice rules and we prove that the construction algorithm yields generating vectors of polynomials which are optimal for a range of moduli cho- sen in ...
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Constructions of general polynomial lattice rules based on the weighted star discrepancy
... polynomial lattice rules in high dimensions and a large number of points (compare also to the fast component-by-component algorithm for lattice rules in ...
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Modelling discrepancy in Bayesian calibration of reservoir models
... (GPs) models as non-parametric emulators to build our statistical error ...those models that best fit the data without ...hierarchical models gave the posterior estimate of model parameters and ...
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Bayesian Estimation of the Discrepancy with Misspecified Parametric Models
... Bayesian Estimation of the Discrepancy with Misspecified Parametric Models Pierpaolo De Blasi ∗ and Stephen G. Walker † Abstract. We study a Bayesian model where we have made specific requests about the ...
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Construction of Good Rank-1 Lattice Rules Based on the Weighted Star Discrepancy
... star discrepancy. If the weights for the weighted star discrepancy are summable, then we show that for n prime there exist n-point rank-1 lattice rules whose weighted star discrepancy is O `n ...
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