Determinantal point process models and statistical inference
نویسندگان
چکیده
منابع مشابه
Determinantal point process models and statistical inference
Statistical models and methods for determinantal point processes (DPPs) seem largely unexplored. We demonstrate that DPPs provide useful models for the description of repulsive spatial point processes, particularly in the ‘soft-core’ case. Such data are usually modelled by Gibbs point processes, where the likelihood and moment expressions are intractable and simulations are time consuming. We e...
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We consider determinantal point processes on the d-dimensional unit sphere Sd. These are finite point processes exhibiting repulsiveness and with moment properties determined by a certain determinant whose entries are specified by a so-called kernel which we assume is a complex covariance function defined on Sd× Sd. We review the appealing properties of such processes, including their specific ...
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Determinantal point processes (DPPs) are random point processes well-suited for modeling repulsion. In machine learning, the focus of DPP-based models has been on diverse subset selection from a discrete and finite base set. This discrete setting admits an efficient sampling algorithm based on the eigendecomposition of the defining kernel matrix. Recently, there has been growing interest in usi...
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Personalization has become an important part of recommendation systems for online products including news, search, media and advertising. Real world recommender systems need to also take into account the diversity and serendipity of the set of recommended items so as to not overwhelm the user with too similar items and to discover user interests that were previously unknown to the system (Szpek...
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Normal residual is one of the usual assumptions of autoregressive models but in practice sometimes we are faced with non-negative residuals case. In this paper we consider some autoregressive models with non-negative residuals as competing models and we have derived the maximum likelihood estimators of parameters based on the modified approach and EM algorithm for the competing models. Also,...
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ژورنال
عنوان ژورنال: Journal of the Royal Statistical Society: Series B (Statistical Methodology)
سال: 2014
ISSN: 1369-7412
DOI: 10.1111/rssb.12096