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Single-cell sequencing has a significant role to explore biological processes such as embryonic development, cancer evolution, and cell differentiation. These biological properties can be presented by a two-dimensional scatter plot.…

Genomics · Quantitative Biology 2021-10-19 Ziyi Liu , Minghui Liao , Fulin luo , Bo Du

Making predictions and quantifying their uncertainty when the input data is sequential is a fundamental learning challenge, recently attracting increasing attention. We develop SigGPDE, a new scalable sparse variational inference framework…

Machine Learning · Statistics 2021-10-13 Maud Lemercier , Cristopher Salvi , Thomas Cass , Edwin V. Bonilla , Theodoros Damoulas , Terry Lyons

Modern datasets arising from social media, genomics, and biomedical informatics are often heterogeneous and (ultra) high-dimensional, creating substantial challenges for conventional modeling techniques. Quantile regression (QR) not only…

Methodology · Statistics 2026-01-07 Hanqing Wu , Jonas Wallin , Iuliana Ionita-Laza

This paper presents a variational Bayesian kernel selection (VBKS) algorithm for sparse Gaussian process regression (SGPR) models. In contrast to existing GP kernel selection algorithms that aim to select only one kernel with the highest…

Machine Learning · Computer Science 2019-12-06 Tong Teng , Jie Chen , Yehong Zhang , Kian Hsiang Low

Structure-based virtual screening (SBVS) is a key computational strategy for identifying potential drug candidates by estimating the binding free energies (delta G_bind) of protein-ligand complexes. The immense size of chemical libraries,…

Quantum Physics · Physics 2025-07-15 Pei-Kun Yang

High-throughput sequencing is now regularly used for studies of the transcriptome (RNA-seq), particularly for comparisons among experimental conditions. For the time being, a limited number of biological replicates are typically considered…

Applications · Statistics 2013-06-18 Andrea Rau , Guillemette Marot , Florence Jaffrézic

Multimodal single-cell technologies enable the simultaneous collection of diverse data types from individual cells, enhancing our understanding of cellular states. However, the integration of these datatypes and modeling the…

Machine Learning · Computer Science 2023-11-22 Bhavya Mehta , Nirmit Deliwala , Madhav Chandane

High resolution microarrays and second-generation sequencing platforms are powerful tools to investigate genome-wide alterations in DNA copy number, methylation and gene expression associated with a disease. An integrated genomic profiling…

Applications · Statistics 2013-04-22 Ronglai Shen , Sijian Wang , Qianxing Mo

Variational autoencoders often assume isotropic Gaussian priors and mean-field posteriors, hence do not exploit structure in scenarios where we may expect similarity or consistency across latent variables. Gaussian process variational…

Machine Learning · Statistics 2020-11-17 Metod Jazbec , Michael Pearce , Vincent Fortuin

We introduce a new scalable approximation for Gaussian processes with provable guarantees which hold simultaneously over its entire parameter space. Our approximation is obtained from an improved sample complexity analysis for sparse…

Machine Learning · Computer Science 2020-11-18 Quang Minh Hoang , Trong Nghia Hoang , Hai Pham , David P. Woodruff

Many real-world datasets contain hidden structure that cannot be detected by simple linear correlations between input features. For example, latent factors may influence the data in a coordinated way, even though their effect is invisible…

Background: Single-cell RNA sequencing (scRNA-seq) yields valuable insights about gene expression and gives critical information about complex tissue cellular composition. In the analysis of single-cell RNA sequencing, the annotations of…

Genomics · Quantitative Biology 2023-03-29 Xiaowen Cao , Li Xing , Elham Majd , Hua He , Junhua Gu , Xuekui Zhang

Dimensionality reduction techniques are fundamental for analyzing and visualizing high-dimensional data. With established methods like t-SNE and PCA presenting a trade-off between representational power and interpretability. This paper…

Machine Learning · Computer Science 2025-04-25 Erik Bergh

Complex multivariate time series arise in many fields, ranging from computer vision to robotics or medicine. Often we are interested in the independent underlying factors that give rise to the high-dimensional data we are observing. While…

Machine Learning · Statistics 2021-02-11 Simon Bing , Vincent Fortuin , Gunnar Rätsch

We developed a single factor model with measure-specific sample weights for multivariate data with multiple observed indicators clustered within a higher level subject. The factor is therefore a latent variable shared by multiple indicators…

Methodology · Statistics 2019-10-22 Chengan Du , Shu-Xia Li , Zhenqiu Lin , Haiqun Lin

Graphical models are an important tool in exploring relationships between variables in complex, multivariate data. Methods for learning such graphical models are well developed in the case where all variables are either continuous or…

Machine Learning · Statistics 2024-02-15 Konstantin Göbler , Anne Miloschewski , Mathias Drton , Sach Mukherjee

Supervised learning has recently garnered significant attention in the field of computational physics due to its ability to effectively extract complex patterns for tasks like solving partial differential equations, or predicting material…

Machine Learning · Statistics 2024-03-12 Raphaël Carpintero Perez , Sébastien da Veiga , Josselin Garnier , Brian Staber

Graphical models are commonly used tools for modeling multivariate random variables. While there exist many convenient multivariate distributions such as Gaussian distribution for continuous data, mixed data with the presence of discrete…

Machine Learning · Statistics 2014-04-30 Jianqing Fan , Han Liu , Yang Ning , Hui Zou

Single-cell RNA sequencing (scRNA-seq) data is a potent tool for comprehending the "language of life" and can provide insights into various downstream biomedical tasks. Large-scale language models (LLMs) are starting to be used for cell…

Computational Engineering, Finance, and Science · Computer Science 2023-06-08 Suyuan Zhao , Jiahuan Zhang , Zaiqing Nie

Unsupervised learning on imbalanced data is challenging because, when given imbalanced data, current model is often dominated by the major category and ignores the categories with small amount of data. We develop a latent variable model…

Machine Learning · Computer Science 2016-07-04 Fariba Yousefi , Zhenwen Dai , Carl Henrik Ek , Neil Lawrence