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Annotating lots of 3D medical images for training segmentation models is time-consuming. The goal of weakly supervised semantic segmentation is to train segmentation models without using any ground truth segmentation masks. Our work…

Image and Video Processing · Electrical Eng. & Systems 2024-04-23 Marius Schmidt-Mengin , Alexis Benichoux , Shibeshih Belachew , Nikos Komodakis , Nikos Paragios

In this work, a framework to construct arbitrarily high-order low-dissipation shock-capturing schemes with flexible and controllable nonlinear dissipation for convection-dominated problems is proposed. While a set of candidate stencils of…

Numerical Analysis · Mathematics 2021-02-03 Yue Li , Lin Fu , Nikolaus A. Adams

Deep Neural Networks (DNNs) are generated by sequentially performing linear and non-linear processes. Using a combination of linear and non-linear procedures is critical for generating a sufficiently deep feature space. The majority of…

Computer Vision and Pattern Recognition · Computer Science 2022-07-29 Yufei Hu , Nacim Belkhir , Jesus Angulo , Angela Yao , Gianni Franchi

This work presents a novel physics-informed deep learning based super-resolution framework to reconstruct high-resolution deformation fields from low-resolution counterparts, obtained from coarse mesh simulations or experiments. We leverage…

Machine Learning · Computer Science 2022-11-24 Rajat Arora

Purpose: Tracking the 3D motion of the surgical tool and the patient anatomy is a fundamental requirement for computer-assisted skull-base surgery. The estimated motion can be used both for intra-operative guidance and for downstream skill…

Computer Vision and Pattern Recognition · Computer Science 2023-05-17 Zhaoshuo Li , Hongchao Shu , Ruixing Liang , Anna Goodridge , Manish Sahu , Francis X. Creighton , Russell H. Taylor , Mathias Unberath

We represent 3D shape by structured 2D representations of fixed length making it feasible to apply well investigated 2D convolutional neural networks (CNN) for both discriminative and geometric tasks on 3D shapes. We first provide a general…

Computer Vision and Pattern Recognition · Computer Science 2023-08-14 Kripasindhu Sarkar , Elizabeth Mathews , Didier Stricker

Recently, spatiotemporal graphs have emerged as a concise and elegant manner of representing video clips in an object-centric fashion, and have shown to be useful for downstream tasks such as action recognition. In this work, we investigate…

Computer Vision and Pattern Recognition · Computer Science 2023-12-13 Aditya Murali , Deepak Alapatt , Pietro Mascagni , Armine Vardazaryan , Alain Garcia , Nariaki Okamoto , Didier Mutter , Nicolas Padoy

We propose a non-intrusive method to build surrogate models that approximate the solution of parameterized partial differential equations (PDEs), capable of taking into account the dependence of the solution on the shape of the…

Numerical Analysis · Mathematics 2024-09-20 Linying Zhang , Stefano Pagani , Jun Zhang , Francesco Regazzoni

In scientific and engineering applications, solving partial differential equations (PDEs) across various parameters and domains normally relies on resource-intensive numerical methods. Neural operators based on deep learning offered a…

Numerical Analysis · Mathematics 2024-06-21 Zhiwei Zhao , Changqing Liu , Yingguang Li , Zhibin Chen , Xu Liu

As the availability of imagery data continues to swell, so do the demands on transmission, storage and processing power. Processing requirements to handle this plethora of data is quickly outpacing the utility of conventional processing…

Computer Vision and Pattern Recognition · Computer Science 2022-11-01 Artyom M. Grigoryan , Sos S. Agaian , Karen Panetta

Deep learning has been used as a powerful tool for various tasks in computer vision, such as image segmentation, object recognition and data generation. A key part of end-to-end training is designing the appropriate encoder to extract…

Computer Vision and Pattern Recognition · Computer Science 2019-06-27 Qing Fang

Iterative optimization algorithms depend on access to information about the objective function. In a differentiable programming framework, this information, such as gradients, can be automatically derived from the computational graph. We…

Optimization and Control · Mathematics 2025-07-08 Vincent Roulet , Siddhartha Srinivasa , Maryam Fazel , Zaid Harchaoui

Numerical solutions of partial differential equations enable a broad range of scientific research. The Dedalus Project is a flexible, open-source, parallelized computational framework for solving general partial differential equations using…

Instrumentation and Methods for Astrophysics · Physics 2020-04-29 Keaton J. Burns , Geoffrey M. Vasil , Jeffrey S. Oishi , Daniel Lecoanet , Benjamin P. Brown

The ability to detect anomalies in time series is considered highly valuable in numerous application domains. The sequential nature of time series objects is responsible for an additional feature complexity, ultimately requiring specialized…

Machine Learning · Computer Science 2021-03-01 Gabriel Rodriguez Garcia , Gabriel Michau , Mélanie Ducoffe , Jayant Sen Gupta , Olga Fink

In this work we present a method of automatic segmentation of defective skulls for custom cranial implant design and 3D printing purposes. Since such tissue models are usually required in patient cases with complex anatomical defects and…

Image and Video Processing · Electrical Eng. & Systems 2020-11-05 Oldřich Kodym , Michal Španěl , Adam Herout

Deep neural networks (DNNs) have been shown to outperform conventional machine learning algorithms across a wide range of applications, e.g., image recognition, object detection, robotics, and natural language processing. However, the high…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-04-23 Ye Yu , Yingmin Li , Shuai Che , Niraj K. Jha , Weifeng Zhang

Computer models are widely used across a range of scientific disciplines to describe various complex physical systems, however to perform full uncertainty quantification we often need to employ emulators. An emulator is a fast statistical…

Methodology · Statistics 2022-10-20 Ian Vernon , Jonathan Owen , Jonathan Carter

We study numerical computation of conformal invariants of domains in the complex plane. In particular, we provide an algorithm for computing the conformal capacity of a condenser. The algorithm applies for wide kind of geometries: domains…

Complex Variables · Mathematics 2020-08-19 Mohamed M S Nasser , Matti Vuorinen

We present a new computational framework (LEO), that enables us to carry out the very first large-scale, high-resolution computations in the context of the characteristic approach in numerical relativity. At the analytic level, our approach…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Roberto Gómez , Willians Barreto , Simonetta Frittelli

With the growth of machine learning algorithms with geometry primitives, a high-efficiency library with differentiable geometric operators are desired. We present an optimized Differentiable Geometry Algorithm Library (DGAL) loaded with…

Computational Geometry · Computer Science 2020-11-24 Yuanxin Zhong