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Training deep neural networks is a highly nontrivial task, involving carefully selecting appropriate training algorithms, scheduling step sizes and tuning other hyperparameters. Trying different combinations can be quite labor-intensive and…

机器学习 · 计算机科学 2017-06-13 Kaifeng Lv , Shunhua Jiang , Jian Li

Deep learning models evolve through training to learn the manifold in which the data exists to satisfy an objective. It is well known that evolution leads to different final states which produce inconsistent predictions of the same test…

The local geometry of high dimensional neural network loss landscapes can both challenge our cherished theoretical intuitions as well as dramatically impact the practical success of neural network training. Indeed recent works have observed…

机器学习 · 计算机科学 2019-10-15 Stanislav Fort , Surya Ganguli

There are many surprising and perhaps counter-intuitive properties of optimization of deep neural networks. We propose and experimentally verify a unified phenomenological model of the loss landscape that incorporates many of them. High…

机器学习 · 计算机科学 2019-06-12 Stanislav Fort , Stanislaw Jastrzebski

Neural network training is commonly based on SGD. However, the understanding of SGD's ability to converge to good local minima, given the non-convex nature of loss functions and the intricate geometric characteristics of loss landscapes,…

Typically, loss functions, regularization mechanisms and other important aspects of training parametric models are chosen heuristically from a limited set of options. In this paper, we take the first step towards automating this process,…

Solving inverse problems in physics is central to understanding complex systems and advancing technologies in various fields. Iterative optimization algorithms, commonly used to solve these problems, often encounter local minima, chaos, or…

机器学习 · 计算机科学 2025-01-29 Girnar Goyal , Philipp Holl , Sweta Agrawal , Nils Thuerey

A successful deep learning network is highly dependent not only on the training dataset, but the training algorithm used to condition the network for a given task. The loss function, dataset, and tuning of hyperparameters all play an…

机器学习 · 计算机科学 2025-10-07 Ashley Lenau , Dennis Dimiduk , Stephen R. Niezgoda

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…

Natural gradient descent is a principled method for adapting the parameters of a statistical model on-line using an underlying Riemannian parameter space to redefine the direction of steepest descent. The algorithm is examined via methods…

无序系统与神经网络 · 物理学 2009-10-31 Magnus Rattray , David Saad

Deep learning has been shown to achieve impressive results in several domains like computer vision and natural language processing. A key element of this success has been the development of new loss functions, like the popular cross-entropy…

机器学习 · 计算机科学 2019-07-19 Francesco Giannini , Giuseppe Marra , Michelangelo Diligenti , Marco Maggini , Marco Gori

In this paper, we develop upon the topic of loss function learning, an emergent meta-learning paradigm that aims to learn loss functions that significantly improve the performance of the models trained under them. Specifically, we propose a…

神经与进化计算 · 计算机科学 2024-03-05 Christian Raymond , Qi Chen , Bing Xue , Mengjie Zhang

This work investigates the impact of the loss function on the performance of Neural Networks, in the context of a monocular, RGB-only, image localization task. A common technique used when regressing a camera's pose from an image is to…

计算机视觉与模式识别 · 计算机科学 2019-07-30 Isaac Ronald Ward , M. A. Asim K. Jalwana , Mohammed Bennamoun

One of the central challenges in modern machine learning is understanding how neural networks generalize knowledge learned from training data to unseen test data. While numerous empirical techniques have been proposed to improve…

机器学习 · 计算机科学 2025-04-18 Entao Yang , Xiaotian Zhang , Yue Shang , Ge Zhang

We study the relationship between the frequency of a function and the speed at which a neural network learns it. We build on recent results that show that the dynamics of overparameterized neural networks trained with gradient descent can…

机器学习 · 计算机科学 2019-12-03 Ronen Basri , David Jacobs , Yoni Kasten , Shira Kritchman

The loss function is arguably among the most important hyperparameters for a neural network. Many loss functions have been designed to date, making a correct choice nontrivial. However, elaborate justifications regarding the choice of the…

机器学习 · 计算机科学 2022-10-31 Simon Dräger , Jannik Dunkelau

Loss functions play an important role in the training of artificial neural networks (ANNs), and can affect the generalisation ability of the ANN model, among other properties. Specifically, it has been shown that the cross entropy and sum…

机器学习 · 计算机科学 2022-04-27 Matthew C. Dickson , Anna S. Bosman , Katherine M. Malan

Loss function learning is a new meta-learning paradigm that aims to automate the essential task of designing a loss function for a machine learning model. Existing techniques for loss function learning have shown promising results, often…

机器学习 · 计算机科学 2025-10-14 Christian Raymond , Qi Chen , Bing Xue , Mengjie Zhang

A fairly comprehensive analysis is presented for the gradient descent dynamics for training two-layer neural network models in the situation when the parameters in both layers are updated. General initialization schemes as well as general…

机器学习 · 计算机科学 2020-02-27 Weinan E , Chao Ma , Lei Wu

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…

机器学习 · 计算机科学 2024-11-06 Mo Zhou , Rong Ge