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Batch Normalization (BatchNorm) is commonly used in Convolutional Neural Networks (CNNs) to improve training speed and stability. However, there is still limited consensus on why this technique is effective. This paper uses concepts from…

Neural and Evolutionary Computing · Computer Science 2021-06-02 Elaina Chai , Mert Pilanci , Boris Murmann

In most applications of utilizing neural networks for mathematical optimization, a dedicated model is trained for each specific optimization objective. However, in many scenarios, several distinct yet correlated objectives or tasks often…

Machine Learning · Computer Science 2024-04-15 Wei Cui , Wei Yu

Data augmentation has emerged as a powerful technique for improving the performance of deep neural networks and led to state-of-the-art results in computer vision. However, state-of-the-art data augmentation strongly distorts training…

Computer Vision and Pattern Recognition · Computer Science 2020-10-16 Amil Merchant , Barret Zoph , Ekin Dogus Cubuk

Increasing the mini-batch size for stochastic gradient descent offers significant opportunities to reduce wall-clock training time, but there are a variety of theoretical and systems challenges that impede the widespread success of this…

We present weight normalization: a reparameterization of the weight vectors in a neural network that decouples the length of those weight vectors from their direction. By reparameterizing the weights in this way we improve the conditioning…

Machine Learning · Computer Science 2016-06-07 Tim Salimans , Diederik P. Kingma

The calibration and training of a neural network is a complex and time-consuming procedure that requires significant computational resources to achieve satisfactory results. Key obstacles are a large number of hyperparameters to select and…

Machine Learning · Computer Science 2023-09-07 Raffaele Giuseppe Cestari , Gabriele Maroni , Loris Cannelli , Dario Piga , Simone Formentin

BatchNorm is a critical building block in modern convolutional neural networks. Its unique property of operating on "batches" instead of individual samples introduces significantly different behaviors from most other operations in deep…

Computer Vision and Pattern Recognition · Computer Science 2021-05-18 Yuxin Wu , Justin Johnson

Batch normalization (BN) has become a critical component across diverse deep neural networks. The network with BN is invariant to positively linear re-scale transformation, which makes there exist infinite functionally equivalent networks…

Machine Learning · Computer Science 2022-06-07 Mingyang Yi

Deep Convolutional Neural Networks (DCNNs) are hard and time-consuming to train. Normalization is one of the effective solutions. Among previous normalization methods, Batch Normalization (BN) performs well at medium and large batch sizes…

Machine Learning · Computer Science 2020-12-10 Xiao-Yun Zhou , Jiacheng Sun , Nanyang Ye , Xu Lan , Qijun Luo , Bo-Lin Lai , Pedro Esperanca , Guang-Zhong Yang , Zhenguo Li

Batch Normalization (BN) has become a cornerstone of deep learning across diverse architectures, appearing to help optimization as well as generalization. While the idea makes intuitive sense, theoretical analysis of its effectiveness has…

Machine Learning · Computer Science 2018-12-11 Sanjeev Arora , Zhiyuan Li , Kaifeng Lyu

Normalization layers (e.g., Batch Normalization, Layer Normalization) were introduced to help with optimization difficulties in very deep nets, but they clearly also help generalization, even in not-so-deep nets. Motivated by the long-held…

Machine Learning · Computer Science 2023-01-18 Kaifeng Lyu , Zhiyuan Li , Sanjeev Arora

Recent seminal work at the intersection of deep neural networks practice and random matrix theory has linked the convergence speed and robustness of these networks with the combination of random weight initialization and nonlinear…

Machine Learning · Computer Science 2019-05-07 Pierre H. Richemond , Yike Guo

Recent hardware developments have dramatically increased the scale of data parallelism available for neural network training. Among the simplest ways to harness next-generation hardware is to increase the batch size in standard mini-batch…

Machine Learning · Computer Science 2019-07-22 Christopher J. Shallue , Jaehoon Lee , Joseph Antognini , Jascha Sohl-Dickstein , Roy Frostig , George E. Dahl

An important problem in training deep networks with high capacity is to ensure that the trained network works well when presented with new inputs outside the training dataset. Dropout is an effective regularization technique to boost the…

Computer Vision and Pattern Recognition · Computer Science 2017-12-06 Mostafa Rahmani , George Atia

Quantized Neural Networks (QNNs) are often used to improve network efficiency during the inference phase, i.e. after the network has been trained. Extensive research in the field suggests many different quantization schemes. Still, the…

Machine Learning · Computer Science 2018-06-19 Ron Banner , Itay Hubara , Elad Hoffer , Daniel Soudry

It is widely believed that the implicit regularization of SGD is fundamental to the impressive generalization behavior we observe in neural networks. In this work, we demonstrate that non-stochastic full-batch training can achieve…

Machine Learning · Computer Science 2022-04-21 Jonas Geiping , Micah Goldblum , Phillip E. Pope , Michael Moeller , Tom Goldstein

The successful training of deep neural networks requires addressing challenges such as overfitting, numerical instabilities leading to divergence, and increasing variance in the residual stream. A common solution is to apply regularization…

Machine Learning · Computer Science 2025-11-20 Jörg K. H. Franke , Urs Spiegelhalter , Marianna Nezhurina , Jenia Jitsev , Frank Hutter , Michael Hefenbrock

Globally normalized neural sequence models are considered superior to their locally normalized equivalents because they may ameliorate the effects of label bias. However, when considering high-capacity neural parametrizations that condition…

Machine Learning · Computer Science 2019-04-16 Kartik Goyal , Chris Dyer , Taylor Berg-Kirkpatrick

Deep learning models face persistent challenges in training, particularly due to internal covariate shift and label shift. While single-mode normalization methods like Batch Normalization partially address these issues, they are constrained…

Machine Learning · Computer Science 2024-10-31 Bilal Faye , Hanane Azzag , Mustapha Lebbah , Djamel Bouchaffra

The goal of filter pruning is to search for unimportant filters to remove in order to make convolutional neural networks (CNNs) efficient without sacrificing the performance in the process. The challenge lies in finding information that can…

Computer Vision and Pattern Recognition · Computer Science 2022-04-26 Junghun Oh , Heewon Kim , Sungyong Baik , Cheeun Hong , Kyoung Mu Lee
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