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Network quantization generally converts full-precision weights and/or activations into low-bit fixed-point values in order to accelerate an inference process. Recent approaches to network quantization further discretize the gradients into…

计算机视觉与模式识别 · 计算机科学 2024-07-18 Dohyung Kim , Junghyup Lee , Jeimin Jeon , Jaehyeon Moon , Bumsub Ham

Quantized deep neural networks (QDNNs) are attractive due to their much lower memory storage and faster inference speed than their regular full precision counterparts. To maintain the same performance level especially at low bit-widths,…

机器学习 · 计算机科学 2019-01-08 Penghang Yin , Shuai Zhang , Jiancheng Lyu , Stanley Osher , Yingyong Qi , Jack Xin

Neural networks trained with standard objectives exhibit behaviors characteristic of probabilistic inference: soft clustering, prototype specialization, and Bayesian uncertainty tracking. These phenomena appear across architectures -- in…

机器学习 · 计算机科学 2026-01-01 Alan Oursland

We discover restrained numerical instabilities in current training practices of deep networks with stochastic gradient descent (SGD), and its variants. We show numerical error (on the order of the smallest floating point bit and thus the…

机器学习 · 计算机科学 2024-06-13 Yuxin Sun , Dong Lao , Ganesh Sundaramoorthi , Anthony Yezzi

When optimizing over-parameterized models, such as deep neural networks, a large set of parameters can achieve zero training error. In such cases, the choice of the optimization algorithm and its respective hyper-parameters introduces…

机器学习 · 计算机科学 2019-12-06 Gauthier Gidel , Francis Bach , Simon Lacoste-Julien

Fine-tuning pretrained models has become a standard approach to adapting pretrained knowledge to improve the accuracy on new sparse, imbalance datasets. However, issues arise when optimization falls into a collapsed state, where the model…

机器学习 · 计算机科学 2026-05-01 Nghia Bui , Lijing Wang

Dropout and similar stochastic neural network regularization methods are often interpreted as implicitly averaging over a large ensemble of models. We propose STE (stochastically trained ensemble) layers, which enhance the averaging…

机器学习 · 计算机科学 2019-11-22 Alex Labach , Shahrokh Valaee

Understanding the asymptotic behavior of gradient-descent training of deep neural networks is essential for revealing inductive biases and improving network performance. We derive the infinite-time training limit of a mathematically…

机器学习 · 统计学 2022-02-08 Samuel Lippl , L. F. Abbott , SueYeon Chung

Neural networks are usually trained with different variants of gradient descent based optimization algorithms such as stochastic gradient descent or the Adam optimizer. Recent theoretical work states that the critical points (where the…

机器学习 · 计算机科学 2024-10-15 Adrian Barbu

This paper tackles the problem of training a deep convolutional neural network of both low-bitwidth weights and activations. Optimizing a low-precision network is very challenging due to the non-differentiability of the quantizer, which may…

计算机视觉与模式识别 · 计算机科学 2021-06-07 Bohan Zhuang , Jing Liu , Mingkui Tan , Lingqiao Liu , Ian Reid , Chunhua Shen

Recent years have seen a flurry of activities in designing provably efficient nonconvex procedures for solving statistical estimation problems. Due to the highly nonconvex nature of the empirical loss, state-of-the-art procedures often…

机器学习 · 计算机科学 2020-06-09 Cong Ma , Kaizheng Wang , Yuejie Chi , Yuxin Chen

We introduce a new neural network model, together with a tractable and monotone online learning algorithm. Our model describes feed-forward networks for classification, with one output node for each class. The only nonlinear operation is…

机器学习 · 计算机科学 2019-01-15 Veit Elser , Dan Schmidt , Jonathan Yedidia

Discrete and especially binary random variables occur in many machine learning models, notably in variational autoencoders with binary latent states and in stochastic binary networks. When learning such models, a key tool is an estimator of…

机器学习 · 计算机科学 2021-10-18 Alexander Shekhovtsov

The characterization of neural responses to sensory stimuli is a central problem in neuroscience. Spike-triggered average (STA), an influential technique, has been used to extract optimal linear kernels in a variety of animal subjects.…

神经元与认知 · 定量生物学 2020-05-13 Michael Kummer , Arunava Banerjee

It has been proven that, compared to using 32-bit floating-point numbers in the training phase, Deep Convolutional Neural Networks (DCNNs) can operate with low precision during inference, thereby saving memory space and power consumption.…

人工智能 · 计算机科学 2022-10-03 Binyi Wu , Bernd Waschneck , Christian Georg Mayr

A crucial task in predictive maintenance is estimating the remaining useful life of physical systems. In the last decade, deep learning has improved considerably upon traditional model-based and statistical approaches in terms of predictive…

机器学习 · 计算机科学 2024-02-05 Luca Della Libera , Jacopo Andreoli , Davide Dalle Pezze , Mirco Ravanelli , Gian Antonio Susto

Cluster randomized trials (CRTs) randomly assign an intervention to groups of individuals (e.g., clinics or communities) and measure outcomes on individuals in those groups. While offering many advantages, this experimental design…

Most stochastic gradient descent algorithms can optimize neural networks that are sub-differentiable in their parameters; however, this implies that the neural network's activation function must exhibit a degree of continuity which limits…

神经与进化计算 · 计算机科学 2021-12-16 Anastasis Kratsios , Behnoosh Zamanlooy

Sparsification of neural networks is one of the effective complexity reduction methods to improve efficiency and generalizability. Binarized activation offers an additional computational saving for inference. Due to vanishing gradient issue…

最优化与控制 · 数学 2019-02-12 Thu Dinh , Jack Xin

Backpropagation, the cornerstone of deep learning, is limited to computing gradients for continuous variables. This limitation poses challenges for problems involving discrete latent variables. To address this issue, we propose a novel…

机器学习 · 计算机科学 2023-10-17 Liyuan Liu , Chengyu Dong , Xiaodong Liu , Bin Yu , Jianfeng Gao