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We address the challenging problem of deep representation learning--the efficient adaption of a pre-trained deep network to different tasks. Specifically, we propose to explore gradient-based features. These features are gradients of the…

Machine Learning · Computer Science 2020-04-14 Fangzhou Mu , Yingyu Liang , Yin Li

Existing analyses of optimization in deep learning are either continuous, focusing on (variants of) gradient flow, or discrete, directly treating (variants of) gradient descent. Gradient flow is amenable to theoretical analysis, but is…

Machine Learning · Computer Science 2021-12-30 Omer Elkabetz , Nadav Cohen

The ability of learning useful features is one of the major advantages of neural networks. Although recent works show that neural network can operate in a neural tangent kernel (NTK) regime that does not allow feature learning, many works…

Machine Learning · Computer Science 2024-11-06 Mo Zhou , Rong Ge

Recent efforts have shown machine learning to be useful for the prediction of nonlinear fluid dynamics. Predictive accuracy is often a central motivation for employing neural networks, but the pattern recognition central to the network…

Fluid Dynamics · Physics 2022-08-23 Shizheng Wen , Michael W. Lee , Kai M. Kruger Bastos , Earl H. Dowell

End-to-end trained convolutional neural networks have led to a breakthrough in optical flow estimation. The most recent advances focus on improving the optical flow estimation by improving the architecture and setting a new benchmark on the…

Computer Vision and Pattern Recognition · Computer Science 2021-06-03 D. B. de Jong , F. Paredes-Vallés , G. C. H. E. de Croon

We present a novel deep learning framework for flow field predictions in irregular domains when the solution is a function of the geometry of either the domain or objects inside the domain. Grid vertices in a computational fluid dynamics…

Machine Learning · Computer Science 2021-09-20 Ali Kashefi , Davis Rempe , Leonidas J. Guibas

Deep Neural Networks (DNNs) are widely used for decision making in a myriad of critical applications, ranging from medical to societal and even judicial. Given the importance of these decisions, it is crucial for us to be able to interpret…

Computer Vision and Pattern Recognition · Computer Science 2022-11-28 Teddy Koker , Fatemehsadat Mireshghallah , Tom Titcombe , Georgios Kaissis

While deep neural networks (DNN) have become an effective computational tool, the prediction results are often criticized by the lack of interpretability, which is essential in many real-world applications such as health informatics.…

Computer Vision and Pattern Recognition · Computer Science 2018-05-29 Mengnan Du , Ninghao Liu , Qingquan Song , Xia Hu

Convolutional neural networks (CNNs) have recently been applied to predict or model fluid dynamics. However, mechanisms of CNNs for learning fluid dynamics are still not well understood, while such understanding is highly necessary to…

Fluid Dynamics · Physics 2021-04-06 Sangseung Lee , Donghyun You

Deep neural networks learn feature representations via complex geometric transformations of the input data manifold. Despite the models' empirical success across domains, our understanding of neural feature representations is still…

Machine Learning · Computer Science 2025-09-29 Moritz Hehl , Max von Renesse , Melanie Weber

This paper has proposed a new baseline deep learning model of more benefits for image classification. Different from the convolutional neural network(CNN) practice where filters are trained by back propagation to represent different…

Computer Vision and Pattern Recognition · Computer Science 2021-08-13 Yifei Li , Kuangyan Song , Yiming Sun , Liao Zhu

This paper explores interpretability techniques for two of the most successful learning algorithms in medical decision-making literature: deep neural networks and random forests. We applied these algorithms in a real-world medical dataset…

Machine Learning · Computer Science 2020-02-24 Catarina Moreira , Renuka Sindhgatta , Chun Ouyang , Peter Bruza , Andreas Wichert

Convolutional neural networks are widely used in imaging and image recognition. Learning such networks from training data leads to the minimization of a non-convex function. This makes the analysis of standard optimization methods such as…

Optimization and Control · Mathematics 2026-01-14 Jona-Maria Diederen , Holger Rauhut , Ulrich Terstiege

Converging evidence suggests that the mammalian ventral visual pathway encodes increasingly complex stimulus features in downstream areas. Using deep convolutional neural networks, we can now quantitatively demonstrate that there is indeed…

Neurons and Cognition · Quantitative Biology 2017-03-13 Umut Güçlü , Marcel A. J. van Gerven

The purpose of feature extraction on convolutional neural networks is to reuse deep representations learnt for a pre-trained model to solve a new, potentially unrelated problem. However, raw feature extraction from all layers is unfeasible…

Neural and Evolutionary Computing · Computer Science 2019-11-11 Victor Gimenez-Abalos , Armand Vilalta , Dario Garcia-Gasulla , Jesus Labarta , Eduard Ayguadé

Understanding how deep neural networks learn useful internal representations from data remains a central open problem in the theory of deep learning. We introduce Neural Low-Degree Filtering (Neural LoFi), a stylized limit of gradient-based…

Machine Learning · Computer Science 2026-05-14 Yatin Dandi , Matteo Vilucchio , Luca Arnaboldi , Hugo Tabanelli , Florent Krzakala

While deep learning methods are increasingly being applied to tasks such as computer-aided diagnosis, these models are difficult to interpret, do not incorporate prior domain knowledge, and are often considered as a "black-box." The lack of…

Computer Vision and Pattern Recognition · Computer Science 2018-06-05 Shiwen Shen , Simon X. Han , Denise R. Aberle , Alex A. T. Bui , Willliam Hsu

This paper introduces a novel approach that combines unsupervised active contour models with deep learning for robust and adaptive image segmentation. Indeed, traditional active contours, provide a flexible framework for contour evolution…

Computer Vision and Pattern Recognition · Computer Science 2024-07-16 Antoine Habis , Vannary Meas-Yedid , Elsa Angelini , Jean-Christophe Olivo-Marin

Concept-based interpretability for Convolutional Neural Networks (CNNs) aims to align internal model representations with high-level semantic concepts, but existing approaches largely overlook the semantic roles of individual filters and…

Machine Learning · Computer Science 2025-09-24 Xinyu Mu , Hui Dou , Furao Shen , Jian Zhao

Fluid dynamics spans phenomena from the Cheerios effect to cosmic evolution and has been called the 'queen mother' of science. Traditional modelling relies on numerical methods, including finite differences, volumes, and elements, that…

Fluid Dynamics · Physics 2026-04-09 Kwame Agyei-Baah , Muhammad Rizwanur Rahman , E. R. Smith
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