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相关论文: A Differential Evolution-Enhanced Latent Factor An…

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Extracting the latent information in high-dimensional and incomplete matrices is an important and challenging issue. The Latent Factor Analysis (LFA) model can well handle the high-dimensional matrices analysis. Recently, Particle Swarm…

机器学习 · 计算机科学 2022-08-16 Yuanyi Liu , Jia Chen , Di Wu

Second-order Latent Factor (SLF) model, a class of low-rank representation learning methods, has proven effective at extracting node-to-node interaction patterns from High-dimensional and Incomplete (HDI) data. However, its optimization is…

机器学习 · 计算机科学 2025-12-19 Jialiang Wang , Xueyan Bao , Hao Wu

This paper proposes a novel low-rank approximation to the multivariate State-Space Model. The Stochastic Partial Differential Equation (SPDE) approach is applied component-wise to the independent-in-time Mat\'ern Gaussian innovation term in…

统计方法学 · 统计学 2025-09-17 Jacopo Rodeschini , Lorenzo Tedesco , Francesco Finazzi , Philipp Otto , Alessandro Fassò

We focus on the problem of estimating the change in the dependency structures of two $p$-dimensional Gaussian Graphical models (GGMs). Previous studies for sparse change estimation in GGMs involve expensive and difficult non-smooth…

机器学习 · 计算机科学 2018-05-24 Beilun Wang , Arshdeep Sekhon , Yanjun Qi

Data characterized by high dimensionality and sparsity are commonly used to describe real-world node interactions. Low-rank representation (LR) can map high-dimensional sparse (HDS) data to low-dimensional feature spaces and infer node…

机器学习 · 计算机科学 2024-08-30 Qicong Hu , Hao Wu

Sparse principal component analysis (PCA) is an important technique for dimensionality reduction of high-dimensional data. However, most existing sparse PCA algorithms are based on non-convex optimization, which provide little guarantee on…

统计方法学 · 统计学 2019-11-20 Yixuan Qiu , Jing Lei , Kathryn Roeder

We develop deep Poisson-gamma dynamical systems (DPGDS) to model sequentially observed multivariate count data, improving previously proposed models by not only mining deep hierarchical latent structure from the data, but also capturing…

机器学习 · 统计学 2019-01-03 Dandan Guo , Bo Chen , Hao Zhang , Mingyuan Zhou

Deep latent generative models have attracted increasing attention due to the capacity of combining the strengths of deep learning and probabilistic models in an elegant way. The data representations learned with the models are often…

机器学习 · 计算机科学 2023-04-04 Zhao Xu , Daniel Onoro Rubio , Giuseppe Serra , Mathias Niepert

A second-order-based latent factor (SLF) analysis model demonstrates superior performance in graph representation learning, particularly for high-dimensional and incomplete (HDI) interaction data, by incorporating the curvature information…

机器学习 · 计算机科学 2024-09-05 Jialiang Wang , Yan Xia , Ye Yuan

Unsupervised learning aims at the discovery of hidden structure that drives the observations in the real world. It is essential for success in modern machine learning. Latent variable models are versatile in unsupervised learning and have…

机器学习 · 计算机科学 2016-06-13 Furong Huang

Domain Generalized Semantic Segmentation (DGSS) is a critical yet challenging task, as domain shifts in unseen environments can severely compromise model performance. While recent studies enhance feature alignment by projecting features…

计算机视觉与模式识别 · 计算机科学 2025-07-30 I-Hsiang Chen , Hua-En Chang , Wei-Ting Chen , Jenq-Neng Hwang , Sy-Yen Kuo

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…

Inverse problems constrained by partial differential equations (PDEs) play a critical role in model development and calibration. In many applications, there are multiple uncertain parameters in a model that must be estimated. However, high…

数值分析 · 数学 2022-10-27 Joseph Hart , Bart van Bloemen Waanders

Sparse modelling or model selection with categorical data is challenging even for a moderate number of variables, because one parameter is roughly needed to encode one category or level. The Group Lasso is a well known efficient algorithm…

统计方法学 · 统计学 2022-11-14 Szymon Nowakowski , Piotr Pokarowski , Wojciech Rejchel , Agnieszka Sołtys

Motivation: The high dimensionality of genomic data calls for the development of specific classification methodologies, especially to prevent over-optimistic predictions. This challenge can be tackled by compression and variable selection,…

统计方法学 · 统计学 2021-04-10 G. Durif , L. Modolo , J. Michaelsson , J. E. Mold , S. Lambert-Lacroix , F. Picard

I propose a novel framework that integrates stochastic differential equations (SDEs) with deep generative models to improve uncertainty quantification in machine learning applications involving structured and temporal data. This approach,…

机器学习 · 统计学 2026-01-09 James Rice

We develop the sparse VAE for unsupervised representation learning on high-dimensional data. The sparse VAE learns a set of latent factors (representations) which summarize the associations in the observed data features. The underlying…

机器学习 · 统计学 2025-04-16 Gemma E. Moran , Dhanya Sridhar , Yixin Wang , David M. Blei

In high-dimensional classification problems, a commonly used approach is to first project the high-dimensional features into a lower dimensional space, and base the classification on the resulting lower dimensional projections. In this…

统计理论 · 数学 2025-08-05 Xin Bing , Marten Wegkamp

Factor analysis is a widely used technique for dimension reduction in high-dimensional data. However, a key challenge in factor models lies in the interpretability of the latent factors. One intuitive way to interpret these factors is…

统计方法学 · 统计学 2025-10-08 Xin Wang , Xialu Liu

Many data-driven approaches exist to extract neural representations of functional magnetic resonance imaging (fMRI) data, but most of them lack a proper probabilistic formulation. We propose a group level scalable probabilistic sparse…