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The generalization performance of deep neural networks in classification tasks is a major concern in machine learning research. Despite widespread techniques used to diminish the over-fitting issue such as data augmentation,…

Machine Learning · Computer Science 2024-03-14 Mohammad Lashkari , Amin Gheibi

Importance sampling has been successfully used to accelerate stochastic optimization in many convex problems. However, the lack of an efficient way to calculate the importance still hinders its application to Deep Learning. In this paper,…

Machine Learning · Computer Science 2017-09-14 Angelos Katharopoulos , François Fleuret

One of the most important parts of Artificial Neural Networks is minimizing the loss functions which tells us how good or bad our model is. To minimize these losses we need to tune the weights and biases. Also to calculate the minimum value…

Machine Learning · Computer Science 2021-01-08 Kaustubh Yadav

We propose a new deflation strategy to accelerate the convergence of the preconditioned conjugate gradient(PCG) method for solving parametric large-scale linear systems of equations. Unlike traditional deflation techniques that rely on…

Numerical Analysis · Mathematics 2025-08-04 Alena Kopaničáková , Youngkyu Lee , George Em Karniadakis

In this paper, we study the sharpness of a deep learning (DL) loss landscape around local minima in order to reveal systematic mechanisms underlying the generalization abilities of DL models. Our analysis is performed across varying network…

Machine Learning · Computer Science 2022-02-07 Devansh Bisla , Jing Wang , Anna Choromanska

We propose a stepsize adaptation scheme for stochastic gradient descent. It operates directly with the loss function and rescales the gradient in order to make fixed predicted progress on the loss. We demonstrate its capabilities by…

Machine Learning · Computer Science 2018-12-03 Michal Rolinek , Georg Martius

Sharp features such as edges and corners play an important role in the perception of 3D models. In order to capture them better, we propose quadric loss, a point-surface loss function, which minimizes the quadric error between the…

Computer Vision and Pattern Recognition · Computer Science 2019-07-25 Nitin Agarwal , Sung-eui Yoon , M Gopi

Recently, deep-learning-based approaches have been widely studied for deformable image registration task. However, most efforts directly map the composite image representation to spatial transformation through the convolutional neural…

Image and Video Processing · Electrical Eng. & Systems 2022-07-08 Jiashun Chen , Donghuan Lu , Yu Zhang , Dong Wei , Munan Ning , Xinyu Shi , Zhe Xu , Yefeng Zheng

Loss functions are at the heart of deep learning, shaping how models learn and perform across diverse tasks. They are used to quantify the difference between predicted outputs and ground truth labels, guiding the optimization process to…

Machine Learning · Computer Science 2025-09-11 Omar Elharrouss , Yasir Mahmood , Yassine Bechqito , Mohamed Adel Serhani , Elarbi Badidi , Jamal Riffi , Hamid Tairi

Image and video restoration has achieved a remarkable leap with the advent of deep learning. The success of deep learning paradigm lies in three key components: data, model, and loss. Currently, many efforts have been devoted to the first…

Computer Vision and Pattern Recognition · Computer Science 2023-03-30 Man Zhou , Naishan Zheng , Jie Huang , Chunle Guo , Chongyi Li

Deep Convolutional Neural Networks (DCNNs) and their variants have been widely used in large scale face recognition(FR) recently. Existing methods have achieved good performance on many FR benchmarks. However, most of them suffer from two…

Computer Vision and Pattern Recognition · Computer Science 2021-06-28 Jing Xu , Tszhang Guo , Yong Xu , Zenglin Xu , Kun Bai

Dictionary learning algorithms or supervised deep convolution networks have considerably improved the efficiency of predefined feature representations such as SIFT. We introduce a deep scattering convolution network, with predefined wavelet…

Computer Vision and Pattern Recognition · Computer Science 2015-06-02 Edouard Oyallon , Stéphane Mallat

This paper introduces a novel perspective about error in machine learning and proposes inverse feature learning (IFL) as a representation learning approach that learns a set of high-level features based on the representation of error for…

Machine Learning · Computer Science 2020-03-10 Behzad Ghazanfari , Fatemeh Afghah

Deconvolution is the most commonly used image processing method to remove the blur caused by the point-spread-function (PSF) in optical imaging systems. While this method has been successful in deblurring, it suffers from several…

Image and Video Processing · Electrical Eng. & Systems 2019-10-10 Huangxuan Zhao , Ziwen Ke , Ningbo Chen , Ke Li , Lidai Wang , Xiaojing Gong , Wei Zheng , Liang Song , Zhicheng Liu , Dong Liang , Chengbo Liu

By using the viewpoint of modern computational algebraic geometry, we explore properties of the optimization landscapes of the deep linear neural network models. After clarifying on the various definitions of "flat" minima, we show that the…

Machine Learning · Statistics 2018-10-19 Dhagash Mehta , Tianran Chen , Tingting Tang , Jonathan D. Hauenstein

Blind face restoration aims at recovering high-quality face images from those with unknown degradations. Current algorithms mainly introduce priors to complement high-quality details and achieve impressive progress. However, most of these…

Computer Vision and Pattern Recognition · Computer Science 2023-08-15 Zhouxia Wang , Jiawei Zhang , Tianshui Chen , Wenping Wang , Ping Luo

Model compression methods are important to allow for easier deployment of deep learning models in compute, memory and energy-constrained environments such as mobile phones. Knowledge distillation is a class of model compression algorithm…

Computer Vision and Pattern Recognition · Computer Science 2020-12-08 Suhas Lohit , Michael Jones

Previous work has proposed many new loss functions and regularizers that improve test accuracy on image classification tasks. However, it is not clear whether these loss functions learn better representations for downstream tasks. This…

Computer Vision and Pattern Recognition · Computer Science 2021-11-05 Simon Kornblith , Ting Chen , Honglak Lee , Mohammad Norouzi

It is now well known that Markov random fields (MRFs) are particularly effective for modeling image priors in low-level vision. Recent years have seen the emergence of two main approaches for learning the parameters in MRFs: (1)…

Computer Vision and Pattern Recognition · Computer Science 2014-01-17 Yunjin Chen , Thomas Pock , René Ranftl , Horst Bischof

An adaptive refinement strategy, based on an equilibrated flux a posteriori error estimator, is proposed in the context of defeaturing problems. Defeaturing consists of removing features from complex domains to simplify mesh generation and…

Numerical Analysis · Mathematics 2026-03-04 Annalisa Buffa , Denise Grappein , Rafael Vázquez