Applied Mathematics Theses and Dissertations

Theses and Dissertations for the Applied Mathematics department.

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Description:: Interacting particle systems (IPS) are a class of pure jump stochastic processes used to model systems of individual entities, referred to as ``particles", that evolve …
Year:: 2025
Contributor:: Cocomello, Juniper Rosa (creator); Ramanan, Kavita (Advisor); Nguyen, Oanh (Reader); Geman, Stuart (Reader); Brown University. Department of Applied Mathematics (sponsor)
Genre:: theses
Subject:: Stochastic processes; interacting particle systems; local-field equation
Collection:: Applied Mathematics; Theses and Dissertations

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Description:: Consider a (possibly non-Markovian) interacting particle system (IPS) indexed by the nodes of a (possibly random) locally finite graph whose vertices and edges are equipped …
Year:: 2022
Contributor:: Ganguly, Ankan (creator); Ramanan, Kavita (Advisor); Geman, Stuart (Reader); Durrett, Rick (Reader); Brown University. Department of Applied Mathematics (sponsor)
Genre:: theses
Subject:: Stochastic processes; Markov random fields; Hydrodynamic limit; local weak convergence; interacting particle systems
Collection:: Applied Mathematics; Theses and Dissertations

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Description:: Many nonparametric Bayesian models can be viewed as an infinite-dimensional limit of a family of finite-dimensional models. However, another way to construct a flexible Bayesian …
Year:: 2014
Contributor:: Miller, Jeffrey W. (creator); Harrison, Matthew (Director); Geman, Stuart (Reader); MacEachern, Steven (Reader); Brown University. Applied Mathematics (sponsor)
Genre:: theses
Subject:: Bayesian nonparametrics; variable-dimension models; mixture models; Statistics
Language:: English
Collection:: Applied Mathematics; Theses and Dissertations

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Description:: This thesis investigates three related topics on the geometry of the space of planarshapes.In the first part, we setup the EPDiff (Euler-Poincare equation on the …
Year:: 2010
Contributor:: Kushnarev, Sergey (creator); Mumford, David (Director); Michor, Peter (Reader); Geman, Stuart (Reader); Brown University. Applied Mathematics (sponsor)
Genre:: theses
Subject:: shape space; Weil-Petersson metric; EPDiff; Teichons; universal Teichmuller space; diffeomorphism group
Language:: English
Collection:: Applied Mathematics; Theses and Dissertations

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Description:: The spiking electrical activity of simultaneously recorded neurons is often modeled as a multivariate binary time series. Inference about the fast temporal correlation structure of …
Year:: 2015
Contributor:: Nadkarni, Dahlia (creator); Harrison, Matthew (Director); Geman, Stuart (Reader); Amarasingham, Asohan (Reader); Brown University. Applied Mathematics (sponsor)
Genre:: theses
Subject:: Incidental parameter problems; Conditional inference
Language:: English
Collection:: Applied Mathematics; Theses and Dissertations

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Description:: Shape Registration is the transformation of one shape to be aligned with another. The shape registration method presented transforms any shape into another independent of …
Year:: 2024
Contributor:: Solano, Daniel (creator); Geman, Stuart (Reader); Darbon, Jerome (Advisor); Younes, Laurent (Advisor); Brown University. Department of Applied Mathematics (sponsor)
Genre:: theses
Subject:: Image analysis; Differential equations, Parabolic; Geometric measure theory
Collection:: Applied Mathematics; Theses and Dissertations

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Description:: This dissertation describes two novel algorithms for fully unsupervised part-of-speech tagging (POST), both of which exceed the performance of the current state-of-the-art models in both …
Year:: 2010
Contributor:: Lamar, Michael Taylor (creator); Bienenstock, Lucien (Director); Geman, Stuart (Reader); Charniak, Eugene (Reader); Brown University. Applied Mathematics (sponsor)
Genre:: theses
Subject:: part of speech tagging; unsupervised; Computational linguistics
Language:: English
Collection:: Applied Mathematics; Theses and Dissertations

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Description:: The growing computational demands of data science applications pose a significant challenge to machine learning and the applied sciences. These applications have relied mainly on …
Year:: 2022
Contributor:: Provencher Langlois, Gabriel (creator); Darbon, Jerome (Advisor); Dupuis, Paul (Reader); Geman, Stuart (Reader); Brown University. Department of Applied Mathematics (sponsor)
Genre:: theses
Subject:: Applied mathematics
Collection:: Applied Mathematics; Theses and Dissertations

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