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Multi-modal densities appear frequently in time series and practical applications. However, they cannot be represented by common state estimators, such as the Extended Kalman Filter (EKF) and the Unscented Kalman Filter (UKF), which…

系统与控制 · 计算机科学 2014-01-03 Sanket Kamthe , Jan Peters , Marc P Deisenroth

Any clustering algorithm must synchronously learn to model the clusters and allocate data to those clusters in the absence of labels. Mixture model-based methods model clusters with pre-defined statistical distributions and allocate data to…

Early and accurate detection of anomalies in time series data is critical, given the significant risks associated with false or missed detections. While MLP-based mixer models have shown promise in time series analysis, they lack a…

机器学习 · 计算机科学 2025-06-03 Md Mahmuddun Nabi Murad , Yasin Yilmaz

Linear mixed effects models are widely used in statistical modelling. We consider a mixed effects model with Bayesian variable selection in the random effects using spike-and-slab priors and developed a variational Bayes inference scheme…

统计方法学 · 统计学 2024-08-15 M-Z. Spyropoulou , J. Hopker , J. E. Griffin

We introduce PMODE (Partitioned Mixture Of Density Estimators), a general and modular framework for mixture modeling with both parametric and nonparametric components. PMODE builds mixtures by partitioning the data and fitting separate…

机器学习 · 计算机科学 2025-09-01 Robert A. Vandermeulen

Nonnegative Matrix Factorization (NMF) is a widely used technique for data representation. Inspired by the expressive power of deep learning, several NMF variants equipped with deep architectures have been proposed. However, these methods…

机器学习 · 计算机科学 2017-11-21 Yuning Qiu , Guoxu Zhou , Kan Xie

In the framework of model-based clustering, a model allowing several latent class variables is proposed. This model assumes that the distribution of the observed data can be factorized into several independent blocks of variables. Each…

统计方法学 · 统计学 2018-01-23 Matthieu Marbac , Vincent Vandewalle

With the recent growth in data availability and complexity, and the associated outburst of elaborate modelling approaches, model selection tools have become a lifeline, providing objective criteria to deal with this increasingly challenging…

统计方法学 · 统计学 2020-10-08 Alessandro Casa , Luca Scrucca , Giovanna Menardi

Evolutionary clustering aims at capturing the temporal evolution of clusters. This issue is particularly important in the context of social media data that are naturally temporally driven. In this paper, we propose a new probabilistic…

信息检索 · 计算机科学 2016-01-12 Young-Min Kim , Julien Velcin , Stéphane Bonnevay , Marian-Andrei Rizoiu

We consider the problem of fusing an arbitrary number of multiband, i.e., panchromatic, multispectral, or hyperspectral, images belonging to the same scene. We use the well-known forward observation and linear mixture models with Gaussian…

计算机视觉与模式识别 · 计算机科学 2018-07-19 Reza Arablouei

Recognizing a face based on its attributes is an easy task for a human to perform as it is a cognitive process. In recent years, Face Recognition is achieved with different kinds of facial features which were used separately or in a…

计算机视觉与模式识别 · 计算机科学 2010-11-10 S. Sakthivel , R. Lakshmipathi

Mixtures of Hidden Markov Models (MHMMs) are frequently used for clustering of sequential data. An important aspect of MHMMs, as of any clustering approach, is that they can be interpretable, allowing for novel insights to be gained from…

人工智能 · 计算机科学 2021-03-24 Negar Safinianaini , Henrik Boström

Model-based clustering of moderate or large dimensional data is notoriously difficult. We propose a model for simultaneous dimensionality reduction and clustering by assuming a mixture model for a set of latent scores, which are then linked…

统计方法学 · 统计学 2024-06-04 Lorenzo Ghilotti , Mario Beraha , Alessandra Guglielmi

Probabilistic models help us encode latent structures that both model the data and are ideally also useful for specific downstream tasks. Among these, mixture models and their time-series counterparts, hidden Markov models, identify…

机器学习 · 计算机科学 2021-10-29 Abhishek Sharma , Catherine Zeng , Sanjana Narayanan , Sonali Parbhoo , Finale Doshi-Velez

Data fusion models based on Coupled Matrix and Tensor Factorizations (CMTF) have been effective tools for joint analysis of data from multiple sources. While the vast majority of CMTF models are based on the strictly multilinear…

机器学习 · 计算机科学 2025-06-17 Carla Schenker , Xiulin Wang , David Horner , Morten A. Rasmussen , Evrim Acar

Model-based clustering is widely used for identifying and distinguishing types of diseases. However, modern biomedical data coming with high dimensions make it challenging to perform the model estimation in traditional cluster analysis. The…

统计方法学 · 统计学 2025-07-22 Kazeem Kareem , Fan Dai

We present a general framework, the coupled compound Poisson factorization (CCPF), to capture the missing-data mechanism in extremely sparse data sets by coupling a hierarchical Poisson factorization with an arbitrary data-generating model.…

机器学习 · 计算机科学 2017-01-10 Mehmet E. Basbug , Barbara E. Engelhardt

Coupled matrix and tensor factorizations (CMTF) have emerged as an effective data fusion tool to jointly analyze data sets in the form of matrices and higher-order tensors. The PARAFAC2 model has shown to be a promising alternative to the…

机器学习 · 计算机科学 2023-06-05 Carla Schenker , Xiulin Wang , Evrim Acar

The aim of this paper is to present a mixture composite regression model for claim severity modelling. Claim severity modelling poses several challenges such as multimodality, heavy-tailedness and systematic effects in data. We tackle this…

统计方法学 · 统计学 2021-08-02 Tsz Chai Fung , George Tzougas , Mario Wuthrich

Dynamic factor models are often estimated by point-estimation methods, disregarding parameter uncertainty. We propose a method accounting for parameter uncertainty by means of posterior approximation, using variational inference. Our…

统计方法学 · 统计学 2022-10-14 Erik Spånberg
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