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This work attempts to interpret modern deep (convolutional) networks from the principles of rate reduction and (shift) invariant classification. We show that the basic iterative gradient ascent scheme for optimizing the rate reduction of…

Machine Learning · Computer Science 2020-10-30 Kwan Ho Ryan Chan , Yaodong Yu , Chong You , Haozhi Qi , John Wright , Yi Ma

Convolutional neural network (CNN) has achieved impressive success in computer vision during the past few decades. The image convolution operation helps CNNs to get good performance on image-related tasks. However, the image convolution has…

Computer Vision and Pattern Recognition · Computer Science 2022-07-21 Hengyue Pan , Yixin Chen , Xin Niu , Wenbo Zhou , Dongsheng Li

Bone degradation, especially for astronauts in microgravity conditions, is crucial for space exploration missions since the lower applied external forces accelerate the diminution in bone stiffness and strength substantially. Although…

Image and Video Processing · Electrical Eng. & Systems 2023-12-07 Mohammad Saber Hashemi , Azadeh Sheidaei

Accurate simulation of fluid flow in porous media is challenging due to complex pore-space geometries and the computational cost of solving the Navier-Stokes equations. This difficulty is particularly important when repeated simulations are…

Machine Learning · Computer Science 2026-05-21 Rafał Topolnicki , Paweł Dłotko , Maciej Matyka

In this paper, we consider the problem of reconstructing a dense 3D model using images captured from different views. Recent methods based on convolutional neural networks (CNN) allow learning the entire task from data. However, they do not…

Computer Vision and Pattern Recognition · Computer Science 2019-01-08 Despoina Paschalidou , Ali Osman Ulusoy , Carolin Schmitt , Luc van Gool , Andreas Geiger

Accurate prediction of wind flow fields in urban canopies is crucial for ensuring pedestrian comfort, safety, and sustainable urban design. Traditional methods using wind tunnels and Computational Fluid Dynamics, such as Large-Eddy…

Computational Physics · Physics 2025-07-10 Themistoklis Vargiemezis , Catherine Gorlé

We present a deep layered architecture that generalizes convolutional neural networks (ConvNets). The architecture, called SimNets, is driven by two operators: (i) a similarity function that generalizes inner-product, and (ii) a…

Neural and Evolutionary Computing · Computer Science 2016-10-18 Nadav Cohen , Or Sharir , Amnon Shashua

High-fidelity modeling of turbulent flows is one of the major challenges in computational physics, with diverse applications in engineering, earth sciences and astrophysics, among many others. The rising popularity of high-fidelity…

Fluid Dynamics · Physics 2019-03-06 Arvind Mohan , Don Daniel , Michael Chertkov , Daniel Livescu

Recent work has shown that convolutional neural networks (CNNs) can be used to estimate optical flow with high quality and fast runtime. This makes them preferable for real-world applications. However, such networks require very large…

Computer Vision and Pattern Recognition · Computer Science 2018-08-21 Osama Makansi , Eddy Ilg , Thomas Brox

Convolutional Neural Networks (CNNs) perform very well in image classification and object detection in recent years, but even the most advanced models have limited rotation invariance. Known solutions include the enhancement of training…

Computer Vision and Pattern Recognition · Computer Science 2022-02-28 Zongbo Hao , Tao Zhang , Mingwang Chen , Kaixu Zhou

There is an increasing demand for computing the relevant structures, equilibria and long-timescale kinetics of biomolecular processes, such as protein-drug binding, from high-throughput molecular dynamics simulations. Current methods employ…

Machine Learning · Statistics 2018-02-07 Andreas Mardt , Luca Pasquali , Hao Wu , Frank Noé

In this paper, we introduce a conceptually simple network for generating discriminative tissue-level segmentation masks for the purpose of breast cancer diagnosis. Our method efficiently segments different types of tissues in breast biopsy…

Computer Vision and Pattern Recognition · Computer Science 2018-06-06 Sachin Mehta , Ezgi Mercan , Jamen Bartlett , Donald Weave , Joann G. Elmore , Linda Shapiro

U-Nets have been established as a standard architecture for image-to-image learning problems such as segmentation and inverse problems in imaging. For large-scale data, as it for example appears in 3D medical imaging, the U-Net however has…

Machine Learning · Computer Science 2020-07-01 Christian Etmann , Rihuan Ke , Carola-Bibiane Schönlieb

We propose a non-stationary iterated network Tikhonov (iNETT) method for the solution of ill-posed inverse problems. The iNETT employs deep neural networks to build a data-driven regularizer, and it avoids the difficult task of estimating…

Numerical Analysis · Mathematics 2023-04-05 Davide Bianchi , Guanghao Lai , Wenbin Li

One of the main challenges of visual object tracking comes from the arbitrary appearance of objects. Most existing algorithms try to resolve this problem as an object-specific task, i.e., the model is trained to regenerate or classify a…

Computer Vision and Pattern Recognition · Computer Science 2016-04-27 Kai Chen , Wenbing Tao

This study proposes a multiscale convolutional neural network subgrid-scale (MSC-SGS) model for large-eddy simulation (LES). This model incorporates multiscale representations obtained via filtering to capture turbulent vortices…

Fluid Dynamics · Physics 2025-02-18 Bahrul Jalaali , Kie Okabayashi

Applications of machine learning techniques for materials modeling typically involve functions known to be equivariant or invariant to specific symmetries. While graph neural networks (GNNs) have proven successful in such tasks, they…

Incorporating prior knowledge or specifications of input-output relationships into machine learning models has attracted significant attention, as it enhances generalization from limited data and yields conforming outputs. However, most…

Machine Learning · Computer Science 2025-10-21 Youngjae Min , Navid Azizan

We propose a general method to train a single convolutional neural network which is capable of switching image resolutions at inference. Thus the running speed can be selected to meet various computational resource limits. Networks trained…

Computer Vision and Pattern Recognition · Computer Science 2020-11-10 Yikai Wang , Fuchun Sun , Duo Li , Anbang Yao

We propose GrainGNN, a surrogate model for the evolution of polycrystalline grain structure under rapid solidification conditions in metal additive manufacturing. High fidelity simulations of solidification microstructures are typically…

Computational Engineering, Finance, and Science · Computer Science 2024-02-02 Yigong Qin , Stephen DeWitt , Balasubramaniam Radhakrishnan , George Biros