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This work deals with tailored reduced order models for bifurcating nonlinear parametric partial differential equations, where multiple coexisting solutions arise for a given parametric instance. Approaches based on proper orthogonal…

Numerical Analysis · Mathematics 2025-05-14 Federico Pichi , Maria Strazzullo

Electrostatic bender optics are derived up to second order (third order in fields and the Hamiltonian) and applied to the proposed EDM proton ring. The results for linear optics agree with those already presented by V.\ Lebedev (Nov.\ 18,…

Accelerator Physics · Physics 2015-08-04 R. Baartman

Optimization of sensor selection has been studied to monitor complex and large-scale systems with data-driven linear reduced-order modeling. An algorithm for greedy sensor selection is presented under the assumption of correlated noise in…

Signal Processing · Electrical Eng. & Systems 2022-07-14 Keigo Yamada , Yuji Saito , Taku Nonomura , Keisuke Asai

We study the problem of learning similarity by using nonlinear embedding models (e.g., neural networks) from all possible pairs. This problem is well-known for its difficulty of training with the extreme number of pairs. For the special…

Machine Learning · Statistics 2021-06-16 Bowen Yuan , Yu-Sheng Li , Pengrui Quan , Chih-Jen Lin

In this paper, we consider a subset selection problem in a spatial field where we seek to find a set of k locations whose observations provide the best estimate of the field value at a finite set of prediction locations. The measurements…

Optimization and Control · Mathematics 2022-04-12 Shamak Dutta , Nils Wilde , Stephen L. Smith

Correlative light and electron microscopy is a powerful tool to study the internal structure of cells. It combines the mutual benefit of correlating light (LM) and electron (EM) microscopy information. However, the classical approach of…

Computer Vision and Pattern Recognition · Computer Science 2022-08-22 Fengjiao Ma , Rainer Kaufmann , Jaroslaw Sedzicki , Zoltán Cseresnyés , Christoph Dehio , Stephanie Hoeppener , Marc Thilo Figge , Rainer Heintzmann

The use of neural networks to approximate partial differential equations (PDEs) has gained significant attention in recent years. However, the approximation of PDEs with localised phenomena, e.g., sharp gradients and singularities, remains…

Numerical Analysis · Mathematics 2025-01-30 Santiago Badia , Wei Li , Alberto F. Martín

Convolutional neural networks (CNNs) have gained significant popularity in orthopedic imaging in recent years due to their ability to solve fracture classification problems. A common criticism of CNNs is their opaque learning and reasoning…

Computer Vision and Pattern Recognition · Computer Science 2022-03-22 Zhibin Liao , Kewen Liao , Haifeng Shen , Marouska F. van Boxel , Jasper Prijs , Ruurd L. Jaarsma , Job N. Doornberg , Anton van den Hengel , Johan W. Verjans

Semi-autonomous prosthesis controllers based on computer vision improve performance while reducing cognitive effort. However, controllers relying on full-depth data face challenges in being deployed as embedded prosthesis controllers due to…

Computer Vision and Pattern Recognition · Computer Science 2025-07-28 Miguel Nobre Castro , Strahinja Dosen

Challenges in the field of retinal prostheses motivate the development of retinal models to accurately simulate Retinal Ganglion Cells (RGCs) responses. The goal of retinal prostheses is to enable blind individuals to solve complex,…

Image and Video Processing · Electrical Eng. & Systems 2022-02-08 Nikolas Papadopoulos , Nikos Melanitis , Antonio Lozano , Cristina Soto-Sanchez , Eduardo Fernandez , Konstantina S Nikita

Invasive intracranial electroencephalography (iEEG) or electrocorticography (ECoG) measures electric potential directly on the surface of the brain and can be used to inform treatment planning for epilepsy surgery. Combined with numerical…

Automatic blood vessel segmentation from retinal images plays an important role in the diagnosis of many systemic and eye diseases, including retinopathy of prematurity. Current state-of-the-art research in blood vessel segmentation from…

Image and Video Processing · Electrical Eng. & Systems 2023-06-21 Gorana Gojić , Veljko Petrović , Radovan Turović , Dinu Dragan , Ana Oros , Dušan Gajić , Nebojša Horvat

The curtain of technical limitations impeding rat multichannel non-invasive electroencephalography (EEG) has risen. Given the importance of this preclinical model, development and validation of EEG source imaging (ESI) is essential. We…

Neurons and Cognition · Quantitative Biology 2016-01-26 Pedro A. Valdes-Hernandez , Jihye Bae , Yinchen Song , Akira Sumiyoshi , Eduardo Aubert-Vazquez , Jorge J. Riera

Noisy data and the similarity in the ocular appearances caused by different ophthalmic pathologies pose significant challenges for an automated expert system to accurately detect retinal diseases. In addition, the lack of knowledge…

Image and Video Processing · Electrical Eng. & Systems 2021-10-20 Sharif Amit Kamran , Alireza Tavakkoli , Stewart Lee Zuckerbrod

Implementing accurate models of the retina is a challenging task, particularly in the context of creating visual prosthetics and devices. Notwithstanding the presence of diverse artificial renditions of the retina, the imperative task…

Image and Video Processing · Electrical Eng. & Systems 2025-05-21 Prince Philip , Pallab Kumar Nath , Kapil Jainwal , Andre van Schaik , Chetan Singh Thakur

Actuator placement is an active field of research which has received significant attention for its applications in complex dynamical networks. In this paper, we study the problem of finding a set of actuator placements minimizing the metric…

Optimization and Control · Mathematics 2021-07-14 Baiwei Guo , Orcun Karaca , Tyler Summers , Maryam Kamgarpour

Vessel segmentation of retinal images is a key diagnostic capability in ophthalmology. This problem faces several challenges including low contrast, variable vessel size and thickness, and presence of interfering pathology such as…

Image and Video Processing · Electrical Eng. & Systems 2020-02-19 Venkateswararao Cherukuri , Vijay Kumar BG , Raja Bala , Vishal Monga

Noninvasive human-machine interfaces such as surface electromyography (sEMG) have long been employed for controlling robotic prostheses. However, classical controllers are limited to few degrees of freedom (DoF). More recently, machine…

In this experiment, we test the hypothesis of whether a 'retina-like' space variant sampling pattern can improve the efficiency of a visual prosthesis. Subjects wearing a visuo-auditory substitution system were tested for their ability to…

Neurons and Cognition · Quantitative Biology 2007-09-19 B. Durette , L. Gamond , Sylvain Hanneton , D. Alleysson , J. Hérault

The accurate retinal vessel segmentation (RVS) is of great significance to assist doctors in the diagnosis of ophthalmology diseases and other systemic diseases. Manually designing a valid neural network architecture for retinal vessel…

Image and Video Processing · Electrical Eng. & Systems 2020-03-19 Zhun Fan , Jiahong Wei , Guijie Zhu , Jiajie Mo , Wenji Li