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Search theses and dissertations gathered from participating repositories worldwide. Every result links back to the library that holds it. No account is needed.
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Showing 1 to 20 of 53 for “"Point processes"”.
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Point processes of representation theoretic origin
… function. The BC type Z-measures are point processes on the punctured positive real line. They arise as interpolations of the spectral measures of a distinguished family of spherical representations of certain infinite-dimensional symmetric spaces. In representation-theoretic terms, …
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Efficient sampling for determinantal point processes
Determinantal Point Processes (DPPs) are elegant probabilistic models of repulsion and diversity over discrete sets of items. It assigns higher probability to diverse subsets, making them more possible to be sampled. If we want to fully control the size of sampled subsets, the perfect choice would …
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Thinning of point processes-covariance analyses
… dissertation addresses a class of problems in point process theory called 'thinning'. By thinning we mean an operation whereby a point process is split into two point processes by some rule. We obtain the covariance structure between the thinned processes under various thinning rules. We first …
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Scalable Inference Algorithms for Determinantal Point Processes
Determinantal Point Processes (DPPs) are probability distributions on subsets of a collection of points that tend to generate diverse configurations of points. This feature makes them suitable as a probabilistic model of diversity. Recently this idea has been exploited extensively in subset …
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Spatial marked point processes: Models and inferences
<p>A spatial marked point process describes the locations of randomly distributed events in a region, with a mark attached to each observed point. Nowadays, the availability of spatiotemporal data is increasing and many spatiotemporal models are studied with applications in a wide range of …
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Learning and enforcing diversity with Determinantal Point Processes
… we approach this problem using Determinantal Point Processes (DPPs), probabilistic models that provide an intuitive and powerful way of balancing quality and diversity in sets of items. We introduce a novel, fixed-point algorithm for estimating the maximum likelihood parameters of a DPP, …
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Point processes in statistical mechanics : a cluster expansion approach
A point process is a mechanism, which realizes randomly locally finite point measures. One of the main results of this thesis is an existence theorem for a new class of point processes with a so called signed Levy pseudo measure L, which is an extension of the class of infinitely divisible point …
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Self-exciting point processes and their applications to crime data
Self-exciting point processes describe a type of point process where the occurrence of an event leads to an increased probability of a future event taking place. Such subsequent events can be said to have been 'triggered' by the previous event. Originally used to model earthquakes, in recent years …
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Spatio-Temporal Cluster Detection and Local Moran Statistics of Point Processes
… the degree of dispersion or clustering of point processes and events in some location/area. Recognizing that a single Moran's index may not give a sufficient summary of the spatial autocorrelation measure, a local indicator of spatial association (LISA) has gained popularity. Accordingly, …
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Modeling spatial patterns of mixed-species Appalachian forests with Gibbs point processes
Stochastic point processes and associated methodology provide a means for the statistical analysis and modeling of the spatial point pattern formed from forest tree stem locations. Stochastic Gibbs point processes were explored as models that could simulate short-range clustering arising from …
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Multiscale methods for the analysis and application of fractal point processes and queues
Thesis (Ph. D.)--Massachusetts Institute of Technology, Dept. of Electrical Engineering and Computer Science, 1997.
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Spatial association in archaeology. Development of statistical methodologies and computer techniques for spatial association of surface, lattice and point processes, applied to prehistoric evidence in North Yorkshire and to the Heslerton Romano-British site.
… the spatial association of regional lattice and point processes are developed. A detailed discussion of distance based spatial analysis techniques is presented.
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Spatial dependency between a linear network and a point pattern
… we discuss the spatial relationship between point processes and a linear network. As a starting point, we discuss basic spatial point processes and tests for first-order homogeneity. Following that, we discuss second-order properties of point processes in the form of Ripley's K-function for …
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A pure-jump market-making model for high-frequency trading
… arrivals with novel self- and cross-exciting point processes. Furthermore, instead of assuming the bid and ask prices can be adjusted continuously by the market maker, we formulate the market maker's decisions as an optimal switching problem. Moreover, the risk of overtrading has been taken …
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Graphs, Principal Minors, and Eigenvalue Problems
… topics within linear algebra: determinantal point processes, extremal problems in spectral graph theory, force-directed layouts, and eigenvalue algorithms. For determinantal point processes (DPPs), we consider the classes of symmetric and signed DPPs, respectively, and in both cases connect …
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Contributions to the theory of stochastic orders
… introduced in Chapter 2) under random mapping by point processes. Chapter 5 contains results concerning the preservation of multivariate stochastic orders under shock models. In Chapter 6 we study the preservation of multivariate stochastic orders under random mapping by point processes. Examples …
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Efficient learning of temporal dynamics with first-order methods
… to model high-dimensional data generating processes. For instance, event data are often modeled with point processes, while time series data are often captured by autoregressive models or differential equations. In this dissertation, we design algorithms for such models that enable …
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Spatial point process modelling of a biodiverse plant community
… this thesis addresses the suitability of spatial point processes for the modelling of plant communities with the aim of understanding the mechanisms that sustain biodiversity and allow species coexistence through an analysis of a biodiverse plant community in Western …
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Gaussian loop- and Pólya processes : a point process approach
… considers on the one hand the construction of point processes via conditional intensities, motivated by the partial Integration of the Campbell measure of a point process. Under certain assumptions on the intensity the existence of such a point process is shown. A fundamental example turns out …
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