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A stickbreaking construction of the beta process (Technical Report
, 2009
"... We present and derive a new stickbreaking construction of the beta process. The construction is closely related to a special case of the stickbreaking construction of the Dirichlet process (Sethuraman, 1994) applied to the beta distribution. We derive an inference procedure that relies on Monte Ca ..."
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Cited by 18 (6 self)
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We present and derive a new stickbreaking construction of the beta process. The construction is closely related to a special case of the stickbreaking construction of the Dirichlet process (Sethuraman, 1994) applied to the beta distribution. We derive an inference procedure that relies on Monte
Kernel stickbreaking processes
, 2007
"... Summary. This article proposes a class of kernel stickbreaking processes (KSBP) for uncountable collections of dependent random probability measures. The KSBP is constructed by first introducing an infinite sequence of random locations. Independent random probability measures and betadistributed ..."
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Cited by 77 (19 self)
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Summary. This article proposes a class of kernel stickbreaking processes (KSBP) for uncountable collections of dependent random probability measures. The KSBP is constructed by first introducing an infinite sequence of random locations. Independent random probability measures and beta
StickBreaking Autoregressive Processes
"... This paper considers the problem of defining a timedependent nonparametric prior for use in Bayesian nonparametric modelling of time series. A recursive construction allows the definition of priors whose marginals have a general stickbreaking form. The processes with PoissonDirichlet and Dirichle ..."
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Cited by 9 (0 self)
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This paper considers the problem of defining a timedependent nonparametric prior for use in Bayesian nonparametric modelling of time series. A recursive construction allows the definition of priors whose marginals have a general stickbreaking form. The processes with Poisson
Logistic StickBreaking Process
"... Editor: A logistic stickbreaking process (LSBP) is proposed for nonparametric clustering of general spatially or temporallydependent data, imposing the belief that proximate data are more likely to be clustered together. The sticks in the LSBP are realized via multiple logistic regression functi ..."
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Cited by 10 (5 self)
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Editor: A logistic stickbreaking process (LSBP) is proposed for nonparametric clustering of general spatially or temporallydependent data, imposing the belief that proximate data are more likely to be clustered together. The sticks in the LSBP are realized via multiple logistic regression
Latent StickBreaking Processes
"... All intext references underlined in blue are linked to publications on ResearchGate, letting you access and read them immediately. ..."
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All intext references underlined in blue are linked to publications on ResearchGate, letting you access and read them immediately.
Stickbreaking construction for the Indian buffet process
 In Proceedings of the International Conference on Artificial Intelligence and Statistics
"... The Indian buffet process (IBP) is a Bayesian nonparametric distribution whereby objects are modelled using an unbounded number of latent features. In this paper we derive a stickbreaking representation for the IBP. Based on this new representation, we develop slice samplers for the IBP that are ef ..."
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Cited by 81 (12 self)
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The Indian buffet process (IBP) is a Bayesian nonparametric distribution whereby objects are modelled using an unbounded number of latent features. In this paper we derive a stickbreaking representation for the IBP. Based on this new representation, we develop slice samplers for the IBP
Variational Inference for StickBreaking Beta Process Priors
"... We present a variational Bayesian inference algorithm for the stickbreaking construction of the beta process. We derive an alternate representation of the beta process that is amenable to variational inference, and present a bound relating the truncated beta process to its infinite counterpart. We ..."
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Cited by 9 (3 self)
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We present a variational Bayesian inference algorithm for the stickbreaking construction of the beta process. We derive an alternate representation of the beta process that is amenable to variational inference, and present a bound relating the truncated beta process to its infinite counterpart. We
1 LATENT STICKBREAKING PROCESSES
"... ABSTRACT. We develop a model for stochastic processes with random marginal distributions. Our model relies on a stickbreaking construction for the marginal distribution of the process, and introduces dependence across locations by using a latent Gaussian copula model as the mechanism for selecting ..."
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ABSTRACT. We develop a model for stochastic processes with random marginal distributions. Our model relies on a stickbreaking construction for the marginal distribution of the process, and introduces dependence across locations by using a latent Gaussian copula model as the mechanism for selecting
StickBreaking Beta Processes and the Poisson Process
"... We show that the stickbreaking construction of the beta process due to Paisley et al. (2010) can be obtained from the characterization of the beta process as a Poisson process. Specifically, we show that the mean measure of the underlying Poisson process is equal to that of the beta process. We use ..."
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Cited by 8 (5 self)
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We show that the stickbreaking construction of the beta process due to Paisley et al. (2010) can be obtained from the characterization of the beta process as a Poisson process. Specifically, we show that the mean measure of the underlying Poisson process is equal to that of the beta process. We
Results 1  10
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2,887,843