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The theory of multidimensional persistent homology was initially developed in the discrete setting, and involved the study of simplicial complexes filtered through an ordering of the simplices. Later, stability properties of…

Computational Geometry · Computer Science 2013-03-28 Niccolò Cavazza , Marc Ethier , Patrizio Frosini , Tomasz Kaczynski , Claudia Landi

Interpretability is essential in medical imaging to ensure that clinicians can comprehend and trust artificial intelligence models. Several approaches have been recently considered to encode attributes in the latent space to enhance its…

Image and Video Processing · Electrical Eng. & Systems 2024-08-27 Maxime Di Folco , Cosmin I. Bercea , Emily Chan , Julia A. Schnabel

Quantitative medical image computing (radiomics) has been widely applied to build prediction models from medical images. However, overfitting is a significant issue in conventional radiomics, where a large number of radiomic features are…

Image and Video Processing · Electrical Eng. & Systems 2020-01-07 Jianan Chen , Laurent Milot , Helen M. C. Cheung , Anne L. Martel

The class of $\alpha$-stable distributions is widely used in various applications, especially for modelling heavy-tailed data. Although the $\alpha$-stable distributions have been used in practice for many years, new methods for…

Methodology · Statistics 2022-12-29 Kewin Pączek , Damian Jelito , Marcin Pitera , Agnieszka Wyłomańska

The initial conditions of cosmological simulations are commonly drawn from a Gaussian ensemble. The limited number of modes inside a simulation volume gives rise to statistical fluctuations known as \textit{sample variance}, limiting the…

This paper is a theoretical and a numerical investigation of the stability of a tip-cantilever system used in Non-Contact Atomic Force Microscopy (NC-AFM) when it oscillates close to a surface. No additional dissipative force is considered.…

Atomic and Molecular Clusters · Physics 2016-08-16 Gérard Couturier , Laurent Nony , Rodolphe Boisgard , Jean-Pierre Aimé

The reliability of segmentation models in the medical domain depends on the model's robustness to perturbations in the input space. Robustness is a particular challenge in medical imaging exhibiting various sources of image noise,…

Image and Video Processing · Electrical Eng. & Systems 2022-07-06 Ainkaran Santhirasekaram , Avinash Kori , Mathias Winkler , Andrea Rockall , Ben Glocker

Beam quality optimization in mammography traditionally considers detection of a target obscured by quantum noise on a homogenous background. It can be argued that this scheme does not correspond well to the clinical imaging task because…

Medical Physics · Physics 2021-01-26 Erik Fredenberg , Bjorn Svensson , Mats Danielsson , Barbara Lazzari , Bjorn Cederstrom

Quantum computation has made considerable progress in the last decade with multiple emerging technologies providing proof-of-principle experimental demonstrations of such calculations. However, these experimental demonstrations of quantum…

Quantum Physics · Physics 2022-09-27 Samudra Dasgupta , Travis S. Humble

Quantum computers are now on the brink of outperforming their classical counterparts. One way to demonstrate the advantage of quantum computation is through quantum random sampling performed on quantum computing devices. However, existing…

Radiomics is a rapidly growing field that deals with modeling the textural information present in the different tissues of interest for clinical decision support. However, the process of generating radiomic images is computationally very…

Computer Vision and Pattern Recognition · Computer Science 2019-05-30 Vishwa S. Parekh , Michael A. Jacobs

Tissue biopsy evaluation in the clinic is in need of quantitative disease markers for diagnosis and, most importantly, prognosis. Among the new technologies, quantitative phase imaging (QPI) has demonstrated promise for histopathology…

We introduce a method of quantum tomography for a continuous variable system in position and momentum space. We consider a single two-level probe interacting with a quantum harmonic oscillator by means of a class of Hamiltonians, linear in…

Quantum Physics · Physics 2015-03-19 J. Casanova , C. E. Lopez , J. J. Garcia-Ripoll , C. F. Roos , E. Solano

Across many scientific domains, practitioners rely on coarse, discretized summaries to track the evolving structure of complex systems under noise, measurement error, and changing system size. Understanding when such summaries are reliable…

Algebraic Topology · Mathematics 2026-01-29 Chad M. Topaz

To date, the instability of prognostic predictors in a sparse high dimensional model, which hinders their clinical adoption, has received little attention. Stable prediction is often overlooked in favour of performance. Yet, stability…

Machine Learning · Statistics 2016-09-29 Shivapratap Gopakumar , Truyen Tran , Dinh Phung , Svetha Venkatesh

The biological behavior and treatment response of meningiomas depend on their grade, making an accurate diagnosis essential for treatment planning and prognosis assessment. We observed that the weighted fusion of spatial-frequency domain…

Computer Vision and Pattern Recognition · Computer Science 2026-02-17 Jiamiao Lu , Wei Wu , Ke Gao , Ping Mao , Weichuan Zhang , Tuo Wang , Lingkun Ma , Jiapan Guo , Zanyi Wu , Yuqing Hu , Changming Sun

Symmetric quantum states are fascinating objects. They correspond to multipartite systems that remain invariant under particle permutations. This symmetry is reflected in their compact mathematical characterisation but also in their unique…

Quantum Physics · Physics 2025-07-15 Carlo Marconi , Guillem Müller-Rigat , Jordi Romero-Pallejà , Jordi Tura , Anna Sanpera

Topological symmetries, invertible and otherwise, play a fundamental role in the investigation of quantum field theories. Despite their ubiquitous importance across a multitude of disciplines ranging from string theory to condensed matter…

Quantum Physics · Physics 2025-10-17 Christopher Lamb , Robert M. Konik , Hubert Saleur , Ananda Roy

Multiple Myeloma (MM) is a blood cancer implying bone marrow involvement, renal damages and osteolytic lesions. The skeleton involvement of MM is at the core of the present paper, exploiting radiomics and artificial intelligence to identify…

High temporal stability is the primary requirement of any quantitative phase microscope (QPM) systems for the early stage detection of various human related diseases. The high temporal stability of the system provides accurate measurement…