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Related papers: Regularization via f-Divergence: An Application to…

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We introduce Fiedler regularization, a novel approach for regularizing neural networks that utilizes spectral/graphical information. Existing regularization methods often focus on penalizing weights in a global/uniform manner that ignores…

Machine Learning · Statistics 2023-04-07 Edric Tam , David Dunson

We consider the variational reconstruction framework for inverse problems and propose to learn a data-adaptive input-convex neural network (ICNN) as the regularization functional. The ICNN-based convex regularizer is trained adversarially…

The analysis of surface wave dispersion curves is a way to infer the vertical distribution of shear-wave velocity. The range of applicability is extremely wide going, for example, from seismological studies to geotechnical characterizations…

Geophysics · Physics 2021-02-25 Giulio Vignoli , Julien Guillemoteau , Jeniffer Barreto , Matteo Rossi

Regularization techniques are widely employed in optimization-based approaches for solving ill-posed inverse problems in data analysis and scientific computing. These methods are based on augmenting the objective with a penalty function,…

Optimization and Control · Mathematics 2021-06-08 Yong Sheng Soh , Venkat Chandrasekaran

Graph Neural Networks (GNNs) have attracted considerable attention and have emerged as a new promising paradigm to process graph-structured data. GNNs are usually stacked to multiple layers and the node representations in each layer are…

Machine Learning · Computer Science 2020-09-25 Yihao Chen , Xin Tang , Xianbiao Qi , Chun-Guang Li , Rong Xiao

Recent end-to-end multi-object detectors simplify the inference pipeline by removing hand-crafted processes such as non-maximum suppression (NMS). However, during training, they still heavily rely on heuristics and hand-crafted processes…

Computer Vision and Pattern Recognition · Computer Science 2023-05-01 Jaeyoung Yoo , Hojun Lee , Seunghyeon Seo , Inseop Chung , Nojun Kwak

A common challenge in regression is that for many problems, the degrees of freedom required for a high-quality solution also allows for overfitting. Regularization is a class of strategies that seek to restrict the range of possible…

Machine Learning · Computer Science 2022-11-15 Colin Ponce , Ruipeng Li , Christina Mao , Panayot Vassilevski

Exoplanet detection by direct imaging is a difficult task: the faint signals from the objects of interest are buried under a spatially structured nuisance component induced by the host star. The exoplanet signals can only be identified when…

Instrumentation and Methods for Astrophysics · Physics 2023-06-22 Olivier Flasseur , Théo Bodrito , Julien Mairal , Jean Ponce , Maud Langlois , Anne-Marie Lagrange

Networks are widely used in many fields for their powerful ability to provide vivid representations of relationships between variables. However, many of them may be corrupted by experimental noise or inappropriate network inference methods…

Molecular Networks · Quantitative Biology 2021-09-21 Jiating Yu , Jiacheng Leng , Ling-Yun Wu

Deep networks have achieved impressive results on a range of well-curated benchmark datasets. Surprisingly, their performance remains sensitive to perturbations that have little effect on human performance. In this work, we propose a novel…

Computer Vision and Pattern Recognition · Computer Science 2024-10-22 Jonas Ngnawe , Marianne Abemgnigni Njifon , Jonathan Heek , Yann Dauphin

Functional neuroimaging measures how the brain responds to complex stimuli. However, sample sizes are modest, noise is substantial, and stimuli are high dimensional. Hence, direct estimates are inherently imprecise and call for…

Applications · Statistics 2016-02-05 Leila Wehbe , Aaditya Ramdas , Rebecca C. Steorts , Cosma Rohilla Shalizi

Bilinear pooling achieves great success in fine-grained visual recognition (FGVC). Recent methods have shown that the matrix power normalization can stabilize the second-order information in bilinear features, but some problems, e.g.,…

Computer Vision and Pattern Recognition · Computer Science 2020-04-13 Shaobo Min , Hantao Yao , Hongtao Xie , Zheng-Jun Zha , Yongdong Zhang

This paper investigates the convergence properties of spectral algorithms -- a class of regularization methods originating from inverse problems -- under covariate shift. In this setting, the marginal distributions of inputs differ between…

Machine Learning · Statistics 2025-09-08 Ren-Rui Liu , Zheng-Chu Guo

Deep neural networks exploiting millions of parameters are nowadays the norm in deep learning applications. This is a potential issue because of the great amount of computational resources needed for training, and of the possible loss of…

Computation and Language · Computer Science 2022-10-31 Giovanni Bonetta , Matteo Ribero , Rossella Cancelliere

Deep Neural Networks (DNN) have been successfully used to perform classification and regression tasks, particularly in computer vision based applications. Recently, owing to the widespread deployment of Internet of Things (IoT), we identify…

Signal Processing · Electrical Eng. & Systems 2020-07-15 Arijit Ukil , Antonio Jara , Leandro Marin

Deep convolutional neural networks have become a key element in the recent breakthrough of salient object detection. However, existing CNN-based methods are based on either patch-wise (region-wise) training and inference or fully…

Computer Vision and Pattern Recognition · Computer Science 2018-04-03 Guanbin Li , Yizhou Yu

In this paper, the authors propose the utilization of Fibonacci Neural Networks (FNN) for solving arbitrary order differential equations. The FNN architecture comprises input, middle, and output layers, with various degrees of Fibonacci…

Number Theory · Mathematics 2024-08-27 Kushal Dhar Dwivedi , Anup Singh

Many real-world phenomena are observed at multiple resolutions. Predictive models designed to predict these phenomena typically consider different resolutions separately. This approach might be limiting in applications where predictions are…

Machine Learning · Computer Science 2020-01-07 Guruprasad Nayak , Rahul Ghosh , Xiaowei Jia , Varun Mithal , Vipin Kumar

In order to tackle the difficulty associated with the ill-posed nature of the image registration problem, regularization is often used to constrain the solution space. For most learning-based registration approaches, the regularization…

Computer Vision and Pattern Recognition · Computer Science 2022-03-03 Zhe Xu , Jie Luo , Donghuan Lu , Jiangpeng Yan , Sarah Frisken , Jayender Jagadeesan , William Wells , Xiu Li , Yefeng Zheng , Raymond Tong

Quasi-static ultrasound elastography (USE) is an imaging modality that consists of determining a measure of deformation (i.e.strain) of soft tissue in response to an applied mechanical force. The strain is generally determined by estimating…

Image and Video Processing · Electrical Eng. & Systems 2020-11-05 Rémi Delaunay , Yipeng Hu , Tom Vercauteren