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Advanced Data Analytical Techniques for Profile Monitoring
Nowadays advanced sensing technology enables high-resolution in-process data collection during manufacturing, known as profiles or functional data....
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Information Structures in Stochastic Dynamic Games and Informational Properties of Equilibria
This chapter deals with information structures and various information structure dependent properties of equilibrium solutions in stochastic dynamic...
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Query-Driven Verification of Data Integration in the RDF Data Model
AbstractMethods and tools for data integration are very important for problem solving in research infrastructures supporting the FAIR data management...
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Topological Data Analysis
It has been observed since a long time that data are often carrying interesting topological and geometric structures. Characterizing such structures...
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A Patch in Time Saves Nine: Methods for the Identification of Localised Dynamical Behaviour and Lifespans of Coherent Structures
We develop a transfer operator-based method for the detection of coherent structures and their associated lifespans. Characterising the lifespan of...
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Symplectic Coordinates on the Deformation Spaces of Convex Projective Structures on 2-Orbifolds
Let 𝒪 be a closed orientable 2-orbifold of negative Euler characteristic. Huebschmann constructed the Atiyah-Bott-Goldman type symplectic form ω on...
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Data driven modeling of pseudopalisade pattern formation
Pseudopalisading is an interesting phenomenon where cancer cells arrange themselves to form a dense garland-like pattern. Unlike the palisade...
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Structures of Interaction of Non-selfsimilar Elementary Waves for 2D Scalar Conservation Law with Two Initial Discontinuities
In this paper, we investigate the global solution and the structures of interaction between two dimensional non-selfsimilar shock wave and...
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Forwards Attractor Structures in a Planar Cooperative Non-autonomous Lotka–Volterra System
The global attractor of a dissipative dynamical system provides the necessary information to understand the asymptotic dynamics of all the system’s...
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Investigation of Vortex Structures in the Supersonic Flow around a Tandem of Wings
AbstractBased on the mathematical model of unsteady Reynolds equations (URANS), numerical simulation of a supersonic (M = 3) flow around a tandem of...
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Dynamic Geometric Data Structures via Shallow Cuttings
We present new results on a number of fundamental problems about dynamic geometric data structures: (1) We describe the first fully dynamic data...
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Modeling the Nearest Neighbor Graphs to Estimate the Probability of the Independence of Data
AbstractThe proposed method is based on calculations of the statistics of the nearest neighbor graph (NNG) structures, which are presented as a...
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Data-driven confidence bound for structural response using segmented least squares: a mixed-integer programming approach
As one of data-driven approaches to computational mechanics in elasticity, this paper presents a method finding a bound for structural response,...
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From Geometry to Reality: Designing Geodesic Structures
In order to adequately address the design and construction of geodesic structures, it is necessary to analyze the multiplicity of factors that so far...
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Information Structures and Feasibility
As was illustrated in our example in Chap. 1 , it is not straightforward to pass from a deterministic to a...
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Online data caching in edge-cloud collaborative system with the data center
In edge computing, the edge node can provide certain accessible storage and computing resources for the surrounding users. Caching data on the edge...
