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The critical locus of the loss function of a neural network is determined by the geometry of the functional space and by the parameterization of this space by the network's weights. We introduce a natural distinction between pure critical…

Machine Learning · Computer Science 2020-04-06 Matthew Trager , Kathlén Kohn , Joan Bruna

Face recognition is one of the most widely publicized feature in the devices today and hence represents an important problem that should be studied with the utmost priority. As per the recent trends, the Convolutional Neural Network (CNN)…

Computer Vision and Pattern Recognition · Computer Science 2019-11-07 Yash Srivastava , Vaishnav Murali , Shiv Ram Dubey

We propose a new loss function for supervised and physics-informed training of neural networks and operators that incorporates a posteriori error estimate. More specifically, during the training stage, the neural network learns additional…

Numerical Analysis · Mathematics 2024-02-09 Vladimir Fanaskov , Alexander Rudikov , Ivan Oseledets

This work investigates alternate pre-emphasis filters used as part of the loss function during neural network training for nonlinear audio processing. In our previous work, the error-to-signal ratio loss function was used during network…

Audio and Speech Processing · Electrical Eng. & Systems 2019-11-21 Alec Wright , Vesa Välimäki

We consider image transformation problems, where an input image is transformed into an output image. Recent methods for such problems typically train feed-forward convolutional neural networks using a \emph{per-pixel} loss between the…

Computer Vision and Pattern Recognition · Computer Science 2016-03-29 Justin Johnson , Alexandre Alahi , Li Fei-Fei

Linear Regression and neural networks are widely used to model data. Neural networks distinguish themselves from linear regression with their use of activation functions that enable modeling nonlinear functions. The standard argument for…

Machine Learning · Computer Science 2024-01-02 Anish Lakkapragada

In the context of classification problems, Deep Learning (DL) approaches represent state of art. Many DL approaches are based on variations of standard multi-layer feed-forward neural networks. These are also referred to as deep networks.…

Machine Learning · Computer Science 2023-11-21 Andrea Apicella , Francesco Isgrò , Roberto Prevete

With more advanced deep network architectures and learning schemes such as GANs, the performance of video restoration algorithms has greatly improved recently. Meanwhile, the loss functions for optimizing deep neural networks remain…

Image and Video Processing · Electrical Eng. & Systems 2020-03-23 Younghyun Jo , Jaeyeon Kang , Seoung Wug Oh , Seonghyeon Nam , Peter Vajda , Seon Joo Kim

In neural networks, the loss function represents the core of the learning process that leads the optimizer to an approximation of the optimal convergence error. Convolutional neural networks (CNN) use the loss function as a supervisory…

Computer Vision and Pattern Recognition · Computer Science 2020-09-30 Riccardo La Grassa , Ignazio Gallo , Nicola Landro

We present a new loss function, namely Wing loss, for robust facial landmark localisation with Convolutional Neural Networks (CNNs). We first compare and analyse different loss functions including L2, L1 and smooth L1. The analysis of these…

Computer Vision and Pattern Recognition · Computer Science 2018-10-25 Zhen-Hua Feng , Josef Kittler , Muhammad Awais , Patrik Huber , Xiao-Jun Wu

Single image super-resolution (SISR) is an ill-posed problem with an indeterminate number of valid solutions. Solving this problem with neural networks would require access to extensive experience, either presented as a large training set…

Image and Video Processing · Electrical Eng. & Systems 2020-05-18 Akella Ravi Tej , Shirsendu Sukanta Halder , Arunav Pratap Shandeelya , Vinod Pankajakshan

Many important computer vision tasks are naturally formulated to have a non-differentiable objective. Therefore, the standard, dominant training procedure of a neural network is not applicable since back-propagation requires the gradients…

Computer Vision and Pattern Recognition · Computer Science 2023-05-04 Yash Patel

Due to the success of deep learning to solving a variety of challenging machine learning tasks, there is a rising interest in understanding loss functions for training neural networks from a theoretical aspect. Particularly, the properties…

Machine Learning · Statistics 2017-11-01 Yi Zhou , Yingbin Liang

Automatic building extraction from aerial imagery has several applications in urban planning, disaster management, and change detection. In recent years, several works have adopted deep convolutional neural networks (CNNs) for building…

Image and Video Processing · Electrical Eng. & Systems 2020-01-22 Clint Sebastian , Raffaele Imbriaco , Egor Bondarev , Peter H. N. de With

We present an approach to separating reflection from a single image. The approach uses a fully convolutional network trained end-to-end with losses that exploit low-level and high-level image information. Our loss function includes two…

Computer Vision and Pattern Recognition · Computer Science 2018-06-15 Xuaner Zhang , Ren Ng , Qifeng Chen

State-of-the-art algorithms for many semantic visual tasks are based on the use of convolutional neural networks. These networks are commonly trained, and evaluated, on large annotated datasets of artifact-free high-quality images. In this…

Computer Vision and Pattern Recognition · Computer Science 2017-05-31 Igor Vasiljevic , Ayan Chakrabarti , Gregory Shakhnarovich

Activation functions play a significant role in neural network design by enabling non-linearity. The choice of activation function was previously shown to influence the properties of the resulting loss landscape. Understanding the…

Machine Learning · Computer Science 2023-06-29 Anna Sergeevna Bosman , Andries Engelbrecht , Marde Helbig

While invaluable for many computer vision applications, decomposing a natural image into intrinsic reflectance and shading layers represents a challenging, underdetermined inverse problem. As opposed to strict reliance on conventional…

Computer Vision and Pattern Recognition · Computer Science 2018-09-03 Qingnan Fan , Jiaolong Yang , Gang Hua , Baoquan Chen , David Wipf

It is well-known that modern computer vision systems often exhibit behaviors misaligned with those of humans: from adversarial attacks to image corruptions, deep learning vision models suffer in a variety of settings that humans capably…

Computer Vision and Pattern Recognition · Computer Science 2024-10-18 Leonard Tang , Dan Ley

Deep neural networks have dramatically advanced the state of the art for many areas of machine learning. Recently they have been shown to have a remarkable ability to generate highly complex visual artifacts such as images and text rather…

Computer Vision and Pattern Recognition · Computer Science 2016-07-08 Andrey Zhmoginov , Mark Sandler