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The success of the ensemble Kalman filter has triggered a strong interest in expanding its scope beyond classical state estimation problems. In this paper, we focus on continuous-time data assimilation where the model and measurement errors…

Numerical Analysis · Mathematics 2019-06-26 Nikolas Nüsken , Sebastian Reich , Paul J. Rozdeba

The decrease in the increase in death rates at old ages is a phenomenon that has repeatedly been discussed in demographic research. While mortality deceleration can be explained in the gamma-Gompertz model as an effect of selection in…

Applications · Statistics 2019-05-16 Marie Böhnstedt , Hein Putter , Nadine Ouellette , Gerda Claeskens , Jutta Gampe

The application of neural networks in modeling dynamic systems has become prominent due to their ability to estimate complex nonlinear functions. Despite their effectiveness, neural networks face challenges in long-term predictions, where…

Machine Learning · Computer Science 2025-06-10 Parham Oveissi , Turibius Rozario , Ankit Goel

Alzheimer's Dementia (AD) is an incurable, debilitating, and progressive neurodegenerative condition that affects cognitive function. Early diagnosis is important as therapeutics can delay progression and give those diagnosed vital time.…

Machine Learning · Computer Science 2023-02-28 Thomas Searle , Zina Ibrahim , Richard Dobson

We develop a spatio-temporal model to forecast sensor output at five locations in North East England. The signal is described using coupled dynamic linear models, with spatial effects specified by a Gaussian process. Data streams are…

Applications · Statistics 2018-06-15 Yingying Lai , Andrew Golightly , Richard Boys

Widespread population aging has made it critical to understand death rates at old ages. However, studying mortality at old ages is challenging because the data are sparse: numbers of survivors and deaths get smaller and smaller with age. We…

Applications · Statistics 2018-03-29 Dennis M. Feehan

Alzheimer's dementia (AD) is of increasing concern as populations achieve longer lifespans. Many of the recent failed AD clinical trials recruiting cognitively intact individuals had a low number of AD events and were thus underpowered.…

Methodology · Statistics 2025-03-21 Julia Gallini , Zach Baucom , Yorghos Tripodis

Cognitive decline is a natural part of aging. However, under some circumstances, this decline is more pronounced than expected, typically due to disorders such as Alzheimer's disease. Early detection of an anomalous decline is crucial, as…

Accurate diagnosis of Parkinson disease, especially in its early stages, can be a challenging task. The application of machine learning techniques helps improve the diagnostic accuracy of Parkinson disease detection but only few studies…

Machine Learning · Computer Science 2024-12-25 Majid Ali , Hina Shakir , Asia Samreen , Sohaib Ahmed

Many estimation problems in aerospace navigation and robotics involve measurements that depend on prior states. A prominent example is odometry, which measures the relative change between states over time. Accurately handling these…

Robotics · Computer Science 2026-05-13 Tara Mina , Lindsey Marinello , John Christian

Alzheimer's disease (AD) is an irreversible brain disease that can dramatically reduce quality of life, most commonly manifesting in older adults and eventually leading to the need for full-time care. Early detection is fundamental to…

Computation and Language · Computer Science 2019-06-14 Flavio Di Palo , Natalie Parde

Nonlinear filtering problems are encountered in many applications, and one solution approach is the extended Kalman filter, which is not always convergent. Therefore, it is crucial to identify conditions under which the extended Kalman…

Probability · Mathematics 2026-03-24 Ibrahim Mbouandi Njiasse , Florent Ouabo Kamkumo , Ralf Wunderlich

We study the evolution of distributions under the action of an ergodic dynamical system, which may be stochastic in nature. By employing tools from Koopman and transfer operator theory one can evolve any initial distribution of the state…

Machine Learning · Statistics 2023-12-22 Prune Inzerilli , Vladimir Kostic , Karim Lounici , Pietro Novelli , Massimiliano Pontil

Continuous-time state-space models (SSMs) are flexible tools for analysing irregularly sampled sequential observations that are driven by an underlying state process. Corresponding applications typically involve restrictive assumptions…

Methodology · Statistics 2020-10-29 Sina Mews , Roland Langrock , Marius Ötting , Houda Yaqine , Jost Reinecke

Depression significantly affects emotions, thoughts, and daily activities. Recent research indicates that speech signals contain vital cues about depression, sparking interest in audio-based deep-learning methods for estimating its…

Audio and Speech Processing · Electrical Eng. & Systems 2025-01-07 Shuanglin Li , Zhijie Xie , Syed Mohsen Naqvi

Using picture description speech for dementia detection has been studied for 30 years. Despite the long history, previous models focus on identifying the differences in speech patterns between healthy subjects and patients with dementia but…

Computation and Language · Computer Science 2023-08-17 Youxiang Zhu , Nana Lin , Xiaohui Liang , John A. Batsis , Robert M. Roth , Brian MacWhinney

Alzheimer's disease (AD) constitutes a neurodegenerative disease with serious consequences to peoples' everyday lives, if it is not diagnosed early since there is no available cure. Alzheimer's is the most common cause of dementia, which…

Computation and Language · Computer Science 2023-01-18 Loukas Ilias , Dimitris Askounis , John Psarras

Predicting the individual risk of a clinical event using the complete patient history is still a major challenge for personalized medicine. Among the methods developed to compute individual dynamic predictions, the joint models have the…

Machine Learning · Statistics 2024-07-17 Anthony Devaux , Catherine Helmer , Robin Genuer , Cécile Proust-Lima

Dementia is a collection of symptoms associated with impaired cognition and impedes everyday normal functioning. Dementia, with Alzheimer's disease constituting its most common type, is highly complex in terms of etiology and…

In the complex realm of cognitive disorders, Alzheimer's disease (AD) and vascular dementia (VaD) are the two most prevalent dementia types, presenting entangled symptoms yet requiring distinct treatment approaches. The crux of effective…

Image and Video Processing · Electrical Eng. & Systems 2024-11-08 Salma Hassan , Dawlat Akaila , Maryam Arjemandi , Vijay Papineni , Mohammad Yaqub