scholarly journals Covariate dimension reduction for survival data via the Gaussian process latent variable model

2015 ◽  
Vol 35 (8) ◽  
pp. 1340-1353
Author(s):  
James E. Barrett ◽  
Anthony C. C. Coolen
Keyword(s):  
Gaussian Process ◽  
Dimension Reduction ◽  
Survival Data ◽  
Latent Variable ◽  
Latent Variable Model ◽  
Variable Model

scholarly journals A robust nonlinear low-dimensional manifold for single cell RNA-seq data

2018 ◽  
Author(s):  
Archit Verma ◽  
Barbara E. Engelhardt
Keyword(s):  
Gaussian Process ◽  
Dimension Reduction ◽  
Single Cell ◽  
Latent Variable ◽  
Developmental Trajectories ◽  
Latent Variable Model ◽  
Variable Model ◽  
Sequencing Technologies ◽  
Heavy Tailed ◽  
Low Dimensional

AbstractModern developments in single cell sequencing technologies enable broad insights into cellular state. Single cell RNA sequencing (scRNA-seq) can be used to explore cell types, states, and developmental trajectories to broaden understanding of cell heterogeneity in tissues and organs. Analysis of these sparse, high-dimensional experimental results requires dimension reduction. Several methods have been developed to estimate low-dimensional embeddings for filtered and normalized single cell data. However, methods have yet to be developed for unfiltered and unnormalized count data. We present a nonlinear latent variable model with robust, heavy-tailed error and adaptive kernel learning to estimate low-dimensional nonlinear structure in scRNA-seq data. Gene expression in a single cell is modeled as a noisy draw from a Gaussian process in high dimensions from low-dimensional latent positions. This model is called the Gaussian process latent variable model (GPLVM). We model residual errors with a heavy-tailed Student’s t-distribution to estimate a manifold that is robust to technical and biological noise. We compare our approach to common dimension reduction tools to highlight our model’s ability to enable important downstream tasks, including clustering and inferring cell developmental trajectories, on available experimental data. We show that our robust nonlinear manifold is well suited for raw, unfiltered gene counts from high throughput sequencing technologies for visualization and exploration of cell states.

scholarly journals Efficient Dimensionality Reduction Methods in Reservoir History Matching

Energies ◽  
2021 ◽  
Vol 14 (11) ◽  
pp. 3137
Author(s):  
Amine Tadjer ◽  
Reider B. Bratvold ◽  
Remus G. Hanea
Keyword(s):  
Data Assimilation ◽  
Dimensionality Reduction ◽  
Gaussian Process ◽  
Latent Variable ◽  
History Matching ◽  
Production Performance ◽  
Latent Variable Model ◽  
Variable Model ◽  
Multiple Data ◽  
Ensemble Smoother

Production forecasting is the basis for decision making in the oil and gas industry, and can be quite challenging, especially in terms of complex geological modeling of the subsurface. To help solve this problem, assisted history matching built on ensemble-based analysis such as the ensemble smoother and ensemble Kalman filter is useful in estimating models that preserve geological realism and have predictive capabilities. These methods tend, however, to be computationally demanding, as they require a large ensemble size for stable convergence. In this paper, we propose a novel method of uncertainty quantification and reservoir model calibration with much-reduced computation time. This approach is based on a sequential combination of nonlinear dimensionality reduction techniques: t-distributed stochastic neighbor embedding or the Gaussian process latent variable model and clustering K-means, along with the data assimilation method ensemble smoother with multiple data assimilation. The cluster analysis with t-distributed stochastic neighbor embedding and Gaussian process latent variable model is used to reduce the number of initial geostatistical realizations and select a set of optimal reservoir models that have similar production performance to the reference model. We then apply ensemble smoother with multiple data assimilation for providing reliable assimilation results. Experimental results based on the Brugge field case data verify the efficiency of the proposed approach.

Semi-supervised Gaussian process latent variable model with pairwise constraints

2010 ◽  
Vol 73 (10-12) ◽  
pp. 2186-2195 ◽  
Author(s):  
Xiumei Wang ◽  
Xinbo Gao ◽  
Yuan Yuan ◽  
Dacheng Tao ◽  
Jie Li
Keyword(s):  
Gaussian Process ◽  
Latent Variable ◽  
Latent Variable Model ◽  
Variable Model ◽  
Pairwise Constraints
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