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Model-based approaches for image reconstruction, analysis and interpretation have made significant progress over the last decades. Many of these approaches are based on either mathematical, physical or biological models. A challenge for…

计算机视觉与模式识别 · 计算机科学 2019-10-01 Daniel Rueckert , Julia A. Schnabel

Molecular simulations produce very high-dimensional data-sets with millions of data points. As analysis methods are often unable to cope with so many dimensions, it is common to use dimensionality reduction and clustering methods to reach a…

机器学习 · 统计学 2017-11-03 Stefan Doerr , Igor Ariz-Extreme , Matthew J. Harvey , Gianni De Fabritiis

We review basic modeling approaches for failure and maintenance data from repairable systems. In particular we consider imperfect repair models, defined in terms of virtual age processes, and the trend-renewal process which extends the…

统计方法学 · 统计学 2007-08-03 Bo Henry Lindqvist

When machine learning models encounter data which is out of the distribution on which they were trained they have a tendency to behave poorly, most prominently over-confidence in erroneous predictions. Such behaviours will have disastrous…

机器学习 · 计算机科学 2021-06-25 Jack Dymond

As data from monitored structures become increasingly available, the demand grows for it to be used efficiently to add value to structural operation and management. One way in which this can be achieved is to use structural response…

应用统计 · 统计学 2025-05-14 Nicholas E. Silionis , Konstantinos N. Anyfantis

Stochastic optimization methods such as mirror descent have wide applications due to low computational cost. Those methods have been well studied under assumption of the independent and identical distribution, and usually achieve sublinear…

机器学习 · 计算机科学 2023-09-27 Yawei Zhao

Motivated by theoretical advancements in dimensionality reduction techniques we use a recent model, called Block Markov Chains, to conduct a practical study of clustering in real-world sequential data. Clustering algorithms for Block Markov…

机器学习 · 计算机科学 2022-10-05 Alexander Van Werde , Albert Senen-Cerda , Gianluca Kosmella , Jaron Sanders

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

Multiscale models allow for the treatment of complex phenomena involving different scales, such as remodeling and growth of tissues, muscular activation, and cardiac electrophysiology. Numerous numerical approaches have been developed to…

数值分析 · 数学 2018-06-28 Marco Favino , Alessio Quaglino , Sonia Pozzi , Rolf Krause , Igor Pivkin

High-dimensional data are routinely collected in many areas. We are particularly interested in Bayesian classification models in which one or more variables are imbalanced. Current Markov chain Monte Carlo algorithms for posterior…

统计方法学 · 统计学 2024-01-15 Deborshee Sen , Matthias Sachs , Jianfeng Lu , David Dunson

State-space models are commonly used to describe different forms of ecological data. We consider the case of count data with observation errors. For such data the system process is typically multi-dimensional consisting of coupled Markov…

统计方法学 · 统计学 2017-08-15 Axel Finke , Ruth King , Alexandros Beskos , Petros Dellaportas

Accurately predicting industrial aging processes makes it possible to schedule maintenance events further in advance, ensuring a cost-efficient and reliable operation of the plant. So far, these degradation processes were usually described…

机器学习 · 计算机科学 2020-10-22 Mihail Bogojeski , Simeon Sauer , Franziska Horn , Klaus-Robert Müller

While advances continue to be made in model-based clustering, challenges persist in modeling various data types such as panel data. Multivariate panel data present difficulties for clustering algorithms because they are often plagued by…

统计方法学 · 统计学 2024-08-26 Mackenzie R. Neal , Alexa A. Sochaniwsky , Paul D. McNicholas

Despite the growing availability of sensing and data in general, we remain unable to fully characterise many in-service engineering systems and structures from a purely data-driven approach. The vast data and resources available to capture…

机器学习 · 计算机科学 2023-09-20 Elizabeth J Cross , Timothy J Rogers , Daniel J Pitchforth , Samuel J Gibson , Matthew R Jones

A large number and diversity of techniques have been offered in the literature in recent years for solving multi-label classification tasks, including classifier chains where predictions are cascaded to other models as additional features.…

机器学习 · 计算机科学 2019-07-19 Jesse Read , Luca Martino

Machine learning based data-driven technologies have shown impressive performances in a variety of application domains. Most enterprises use data from multiple sources to provide quality applications. The reliability of the external data…

机器学习 · 计算机科学 2021-06-01 Rosni K Vasu , Sanjay Seetharaman , Shubham Malaviya , Manish Shukla , Sachin Lodha

Progressive diseases worsen over time and are characterised by monotonic change in features that track disease progression. Here we connect ideas from two formerly separate methodologies -- event-based and hidden Markov modelling -- to…

机器学习 · 计算机科学 2021-06-07 Peter A. Wijeratne , Daniel C. Alexander

Understanding causal dependencies in observational data is critical for informing decision-making. These relationships are often modeled as Bayesian Networks (BNs) and Directed Acyclic Graphs (DAGs). Existing methods, such as NOTEARS and…

机器学习 · 计算机科学 2026-04-03 Hao Zhu , Di Zhou , Donna Slonim

Markov chains are a natural and well understood tool for describing one-dimensional patterns in time or space. We show how to infer $k$-th order Markov chains, for arbitrary $k$, from finite data by applying Bayesian methods to both…

统计理论 · 数学 2009-11-13 Christopher C. Strelioff , James P. Crutchfield , Alfred W. Hubler

Existing studies indicate that complex system degradation is characterized by degradation of multiple dependent parameters. Capturing the dependencies is crucial for accurate degradation modeling and effective degradation control. This work…

应用统计 · 统计学 2026-04-14 Shi-Shun Chen , Shuai Gao , Xiao-Yang Li , Enrico Zio