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Graphical modelling techniques based on sparse selection have been applied to infer complex networks in many fields, including biology and medicine, engineering, finance, and social sciences. One structural feature of some of the networks…

统计理论 · 数学 2020-03-03 Annaliza McGillivray , Abbas Khalili , David A. Stephens

Nonlinear dynamics are ubiquitous in science and engineering applications, but the physics of most complex systems is far from being fully understood. Discovering interpretable governing equations from measurement data can help us…

机器学习 · 计算机科学 2022-10-18 Luning Sun , Daniel Zhengyu Huang , Hao Sun , Jian-Xun Wang

Predicting epidemic dynamics is of great value in understanding and controlling diffusion processes, such as infectious disease spread and information propagation. This task is intractable, especially when surveillance resources are very…

机器学习 · 统计学 2017-12-04 Hongbin Pei , Bo Yang , Jiming Liu , Lei Dong

Network inference has been attracting increasing attention in several fields, notably systems biology, control engineering and biomedicine. To develop a therapy, it is essential to understand the connectivity of biochemical units and the…

系统与控制 · 电气工程与系统科学 2024-12-20 Junyang Jin , Ye Yuan , Jorge Goncalves

Many problems arising in control require the determination of a mathematical model of the application. This has often to be performed starting from input-output data, leading to a task known as system identification in the engineering…

机器学习 · 统计学 2023-03-01 Wenqi Cao , Gianluigi Pillonetto

This article proposes a novel Bayesian classification framework for networks with labeled nodes. While literature on statistical modeling of network data typically involves analysis of a single network, the recent emergence of complex data…

统计方法学 · 统计学 2020-09-25 Sharmistha Guha , Abel Rodriguez

Structural Hole (SH) theory states that the node which acts as a connecting link among otherwise disconnected communities gets positional advantages in the network. These nodes are called Structural Hole Spanners (SHS). Numerous solutions…

社会与信息网络 · 计算机科学 2024-12-18 Diksha Goel , Hong Shen , Hui Tian , Mingyu Guo

In applications of nonlinear and complex dynamical systems, a common situation is that the system can be measured but its structure and the detailed rules of dynamical evolution are unknown. The inverse problem is to determine the system…

动力系统 · 数学 2021-09-15 Ying-Cheng Lai

Predictive inference in the sparse Gaussian sequence model has received considerably less attention than its non-sparse, finite-sample counterpart. Existing work has largely been confined to discrete mixture priors. In this paper, we study…

统计理论 · 数学 2026-04-21 Percy S. Zhai , Veronika Ročková

Frequentist robust variable selection has been extensively investigated in high-dimensional regression. Despite success, developing the corresponding statistical inference procedures remains a challenging task. Recently, tackling this…

统计方法学 · 统计学 2025-07-24 Kun Fan , Srijana Subedi , Vishmi Ridmika Dissanayake Pathiranage , Cen Wu

Deep ensembles have emerged as a powerful technique for improving predictive performance and enhancing model robustness across various applications by leveraging model diversity. However, traditional deep ensemble methods are often…

In this work, a new two-stage identification method based on dynamic programming and sparsity inducing is proposed for switched linear systems. Our method achieves sparsity inducing in the identification of switched linear systems by the…

系统与控制 · 电气工程与系统科学 2024-07-15 Zheng Wenju , Ye Hao

Structural Hole (SH) spanners are the set of users who bridge different groups of users and are vital in numerous applications. Despite their importance, existing work for identifying SH spanners focuses only on static networks. However,…

社会与信息网络 · 计算机科学 2025-02-18 Diksha Goel , Hong Shen , Hui Tian , Mingyu Guo

Inferring the structure and dynamics of network models is critical to understanding the functionality and control of complex systems, such as metabolic and regulatory biological networks. The increasing quality and quantity of experimental…

动力系统 · 数学 2016-05-27 Niall M. Mangan , Steven L. Brunton , Joshua L. Proctor , J. Nathan Kutz

We model and study the problem of localizing a set of sparse forcing inputs for linear dynamical systems from noisy measurements when the initial state is unknown. This problem is of particular relevance to detecting forced oscillations in…

最优化与控制 · 数学 2022-01-21 Rajasekhar Anguluri , Lalitha Sankar , Oliver Kosut

We consider the identification of large-scale linear and stable dynamic systems whose outputs may be the result of many correlated inputs. Hence, severe ill-conditioning may affect the estimation problem. This is a scenario often arising…

动力系统 · 数学 2022-09-07 Wenqi Cao , Gianluigi Pillonetto

The horseshoe prior has proven to be a noteworthy alternative for sparse Bayesian estimation, but has previously suffered from two problems. First, there has been no systematic way of specifying a prior for the global shrinkage…

统计方法学 · 统计学 2017-12-18 Juho Piironen , Aki Vehtari

In order to identify a system (module) embedded in a dynamic network, one has to formulate a multiple-input estimation problem that necessitates certain nodes to be measured and included as predictor inputs. However, some of these nodes may…

系统与控制 · 电气工程与系统科学 2022-08-24 Karthik R. Ramaswamy , Giulio Bottegal , Paul M. J. Van den Hof

Choosing between classical and Bayesian sparse regression methods involves a real trade-off: penalized estimators like Lasso run in milliseconds but give no uncertainty estimates,while Horseshoe and Spike-and-Slab priors produce full…

机器学习 · 计算机科学 2026-05-05 Hao Xiao

Bayesian Neural Networks (BNNs) have recently received increasing attention for their ability to provide well-calibrated posterior uncertainties. However, model selection---even choosing the number of nodes---remains an open question.…

机器学习 · 统计学 2018-08-01 Soumya Ghosh , Jiayu Yao , Finale Doshi-Velez