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Gaussian processes (GPs) are Bayesian nonparametric models for function approximation with principled predictive uncertainty estimates. Deep Gaussian processes (DGPs) are multilayer generalizations of GPs that can represent complex marginal…

Machine Learning · Statistics 2024-09-20 Qiuxian Meng , Yongyou Zhang

This Signal Processing Grand Challenge (SPGC) targets a difficult automatic prediction problem of societal and medical relevance, namely, the detection of Alzheimer's Dementia (AD). Participants were invited to employ signal processing and…

Audio and Speech Processing · Electrical Eng. & Systems 2023-01-16 Saturnino Luz , Fasih Haider , Davida Fromm , Ioulietta Lazarou , Ioannis Kompatsiaris , Brian MacWhinney

In this paper, we propose \texttt{FGPR}: a Federated Gaussian process ($\mathcal{GP}$) regression framework that uses an averaging strategy for model aggregation and stochastic gradient descent for local client computations. Notably, the…

Machine Learning · Statistics 2024-04-01 Xubo Yue , Raed Al Kontar

Alzheimer's disease is a major cause of dementia. Its diagnosis requires accurate biomarkers that are sensitive to disease stages. In this respect, we regard probabilistic classification as a method of designing a probabilistic biomarker…

Machine Learning · Computer Science 2017-06-06 Murat Seckin Ayhan , Vijay Raghavan , Alzheimer's disease Neuroimaging Initiative

Alzheimer's disease (AD) is a complex, multifactorial neurodegenerative disorder with substantial heterogeneity in progression and treatment response. Despite recent therapeutic advances, predictive models capable of accurately forecasting…

Machine Learning · Computer Science 2025-07-23 Jindong Wang , Yutong Mao , Xiao Liu , Wenrui Hao

Gaussian processes (GPs) are non-parametric Bayesian models that are widely used for diverse prediction tasks. Previous work in adding strong privacy protection to GPs via differential privacy (DP) has been limited to protecting only the…

Machine Learning · Computer Science 2021-11-12 Antti Honkela , Laila Melkas

The early detection of Alzheimer's disease (AD) requires an understanding of the relationships between a wide range of features. Conditional independencies and partial correlations are suitable measures for these relationships, because they…

Applications · Statistics 2025-01-22 Lucas Vogels , Reza Mohammadi , Marit Schoonhoven , S. Ilker Birbil , Martin Dyrba

In the scenario of real-time monitoring of hospital patients, high-quality inference of patients' health status using all information available from clinical covariates and lab tests is essential to enable successful medical interventions…

Gaussian processes (GPs) are flexible non-parametric models, with a capacity that grows with the available data. However, computational constraints with standard inference procedures have limited exact GPs to problems with fewer than about…

Alzheimer's disease (AD) is characterized by the progressive spread of pathology across brain networks, yet forecasting this cascade at the individual level remains challenging. We present a personalized graph-based dynamical model that…

Neurons and Cognition · Quantitative Biology 2025-11-13 Chunyan Li , Yutong Mao , Xiao Liu , Wenrui Hao

We propose PACE-GGM, a data-adaptive differentially private method for covariance estimation that concentrates its privacy budget on the most informative entries of the empirical covariance matrix, rather than perturbing all entries. This…

Machine Learning · Computer Science 2026-05-26 Cecilia Ferrando , Miguel Fuentes , Brett Mullins , Cameron Musco , Daniel Sheldon

In this work, we consider the problem of predicting the course of a progressive disease, such as cancer or Alzheimer's. Progressive diseases often start with mild symptoms that might precede a diagnosis, and each patient follows their own…

Machine Learning · Computer Science 2018-03-19 Yingying Zhu , Mert R. Sabuncu

The development of statistical approaches for the joint modelling of the temporal changes of imaging, biochemical, and clinical biomarkers is of paramount importance for improving the understanding of neurodegenerative disorders, and for…

Applications · Statistics 2018-02-16 Marco Lorenzi , Maurizio Filippone , Daniel C. Alexander , Sebastien Ourselin

Alzheimer's disease (AD) is the most common neurodegenerative disease in older people. Despite considerable efforts to find a cure for AD, there is a 99.6% failure rate of clinical trials for AD drugs, likely because AD patients cannot…

Machine Learning · Computer Science 2019-03-25 Jack Albright

Characterizing the subtle changes of functional brain networks associated with the pathological cascade of Alzheimer's disease (AD) is important for early diagnosis and prediction of disease progression prior to clinical symptoms. We…

Neurons and Cognition · Quantitative Biology 2020-11-12 Mengjia Xu , David Lopez Sanz , Pilar Garces , Fernando Maestu , Quanzheng Li , Dimitrios Pantazis

We develop a novel measurement framework based on a Gaussian process coregionalization model to address a long-lasting debate in psychometrics: whether psychological features like personality share a common structure across the population,…

Machine Learning · Computer Science 2024-07-09 Yehu Chen , Muchen Xi , Jacob Montgomery , Joshua Jackson , Roman Garnett

Alzheimer's disease (AD), a degenerative brain condition, can benefit from early prediction to slow its progression. As the disease progresses, patients typically undergo brain atrophy. Current prediction methods for Alzheimers disease…

Computer Vision and Pattern Recognition · Computer Science 2025-11-27 Xin Honga , Jie Lin , Minghui Wang

Deep Gaussian processes (DGPs) are multi-layer hierarchical generalisations of Gaussian processes (GPs) and are formally equivalent to neural networks with multiple, infinitely wide hidden layers. DGPs are nonparametric probabilistic models…

Gaussian processes (GPs) are pervasive in functional data analysis, machine learning, and spatial statistics for modeling complex dependencies. Modern scientific data sets are typically heterogeneous and often contain multiple known…

Methodology · Statistics 2021-10-19 Didong Li , Andrew Jones , Sudipto Banerjee , Barbara E. Engelhardt

This work introduces the concept of parametric Gaussian processes (PGPs), which is built upon the seemingly self-contradictory idea of making Gaussian processes parametric. Parametric Gaussian processes, by construction, are designed to…

Machine Learning · Statistics 2017-05-08 Maziar Raissi