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Current approaches in approximate inference for Bayesian neural networks minimise the Kullback-Leibler divergence to approximate the true posterior over the weights. However, this approximation is without knowledge of the final application,…

Machine Learning · Statistics 2018-05-11 Adam D. Cobb , Stephen J. Roberts , Yarin Gal

Deep neural networks (DNNs) are powerful learning machines that have enabled breakthroughs in several domains. In this work, we introduce a new retrospective loss to improve the training of deep neural network models by utilizing the prior…

Computer Vision and Pattern Recognition · Computer Science 2020-06-25 Surgan Jandial , Ayush Chopra , Mausoom Sarkar , Piyush Gupta , Balaji Krishnamurthy , Vineeth Balasubramanian

Current natural language understanding (NLU) models have been continuously scaling up, both in terms of model size and input context, introducing more hidden and input neurons. While this generally improves performance on average, the extra…

Computation and Language · Computer Science 2024-03-12 Yunchang Zhu , Liang Pang , Kangxi Wu , Yanyan Lan , Huawei Shen , Xueqi Cheng

Neural networks have dramatically increased our capacity to learn from large, high-dimensional datasets across innumerable disciplines. However, their decisions are not easily interpretable, their computational costs are high, and building…

Computer Vision and Pattern Recognition · Computer Science 2024-07-08 Mackenzie J. Meni , Ryan T. White , Michael Mayo , Kevin Pilkiewicz

Artificial neural networks are trained by a standard backpropagation learning algorithm with regularization to model and predict the systematics of -decay of heavy and superheavy nuclei. This approach to regression is implemented in two…

Nuclear Theory · Physics 2019-10-29 Paulo S. A. Freitas , John W. Clark

We apply two variations of the principle of Minimum Cross Entropy (the Kullback information measure) to fit parameterized probability density models to observed data densities. For an array beamforming problem with P incident narrowband…

Information Theory · Computer Science 2008-06-24 Cheng-Yuan Liou , Bruce R. Musicus

It has been demonstrated that deep neural networks outperform traditional machine learning. However, deep networks lack generalisability, that is, they will not perform as good as in a new (testing) set drawn from a different distribution…

Machine Learning · Computer Science 2022-06-28 Bruno Casella , Alessio Barbaro Chisari , Sebastiano Battiato , Mario Valerio Giuffrida

When incrementally trained on new classes, deep neural networks are subject to catastrophic forgetting which leads to an extreme deterioration of their performance on the old classes while learning the new ones. Using a small memory…

Machine Learning · Computer Science 2022-11-15 Quentin Jodelet , Xin Liu , Tsuyoshi Murata

Current artificial neural networks are trained with parameters encoded as floating point numbers that occupy lots of memory space at inference time. Due to the increase in the size of deep learning models, it is becoming very difficult to…

Machine Learning · Computer Science 2024-08-09 Ben Crulis , Barthelemy Serres , Cyril de Runz , Gilles Venturini

Recent studies observed a surprising concept on model test error called the double descent phenomenon, where the increasing model complexity decreases the test error first and then the error increases and decreases again. To observe this,…

Machine Learning · Statistics 2025-05-14 Chathurika S Abeykoon , Aleksandr Beknazaryan , Hailin Sang

Cross-entropy loss with softmax output is a standard choice to train neural network classifiers. We give a new view of neural network classifiers with softmax and cross-entropy as mutual information evaluators. We show that when the dataset…

Machine Learning · Computer Science 2021-08-17 Zhenyue Qin , Dongwoo Kim , Tom Gedeon

In this paper, we present a cross-entropy optimization method for hyperparameter optimization in stochastic gradient-based approaches to train deep neural networks. The value of a hyperparameter of a learning algorithm often has great…

Machine Learning · Computer Science 2024-09-17 Kevin Li , Fulu Li

Cross-entropy loss is the standard metric used to train classification models in deep learning and gradient boosting. It is well-known that this loss function fails to account for similarities between the different values of the target. We…

Machine Learning · Statistics 2022-06-16 Brian Lucena

Due to their flexibility and predictive performance, machine-learning based regression methods have become an important tool for predictive modeling and forecasting. However, most methods focus on estimating the conditional mean or specific…

Machine Learning · Statistics 2019-03-15 Rui Li , Howard D. Bondell , Brian J. Reich

In this paper, we propose a novel offloading learning approach to compromise energy consumption and latency in multi-tier network with mobile edge computing. In order to solve this integer programming problem, instead of using conventional…

Information Theory · Computer Science 2019-12-10 Shuhan Zhu , Wei Xu , Lisheng Fan , Kezhi Wang , George K. Karagiannidis

This paper revisits the special type of a neural network known under two names. In the statistics and machine learning community it is known as a multi-class logistic regression neural network. In the neural network community, it is simply…

Machine Learning · Statistics 2021-01-29 Marek Rychlik

Learning with a primary objective, such as softmax cross entropy for classification and sequence generation, has been the norm for training deep neural networks for years. Although being a widely-adopted approach, using cross entropy as the…

Machine Learning · Computer Science 2019-03-25 Hao-Yun Chen , Pei-Hsin Wang , Chun-Hao Liu , Shih-Chieh Chang , Jia-Yu Pan , Yu-Ting Chen , Wei Wei , Da-Cheng Juan

Overparameterization and overfitting are common concerns when designing and training deep neural networks, that are often counteracted by pruning and regularization strategies. However, these strategies remain secondary to most learning…

Machine Learning · Computer Science 2020-09-01 Malena Reiners , Kathrin Klamroth , Michael Stiglmayr

The training of ResNets and neural ODEs can be formulated and analyzed from the perspective of optimal control. This paper proposes a dissipative formulation of the training of ResNets and neural ODEs for classification problems by…

Machine Learning · Computer Science 2024-05-30 Jens Püttschneider , Timm Faulwasser

Neural network subgrid stress models often have a priori performance that is far better than the a posteriori performance, leading to neural network models that look very promising a priori completely failing in a posteriori Large Eddy…

Fluid Dynamics · Physics 2025-11-24 Andy Wu , Sanjiva K. Lele