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Stochastic neurons and hard non-linearities can be useful for a number of reasons in deep learning models, but in many cases they pose a challenging problem: how to estimate the gradient of a loss function with respect to the input of such…

机器学习 · 计算机科学 2013-08-16 Yoshua Bengio , Nicholas Léonard , Aaron Courville

We study the problem of training deep neural networks with Rectified Linear Unit (ReLU) activation function using gradient descent and stochastic gradient descent. In particular, we study the binary classification problem and show that for…

机器学习 · 计算机科学 2018-12-31 Difan Zou , Yuan Cao , Dongruo Zhou , Quanquan Gu

Stochastic neurons can be useful for a number of reasons in deep learning models, but in many cases they pose a challenging problem: how to estimate the gradient of a loss function with respect to the input of such stochastic neurons, i.e.,…

机器学习 · 计算机科学 2013-05-15 Yoshua Bengio

In neural networks with binary activations and or binary weights the training by gradient descent is complicated as the model has piecewise constant response. We consider stochastic binary networks, obtained by adding noises in front of…

机器学习 · 统计学 2020-11-05 Alexander Shekhovtsov , Viktor Yanush , Boris Flach

Spiking and Quantized Neural Networks (NNs) are becoming exceedingly important for hyper-efficient implementations of Deep Learning (DL) algorithms. However, these networks face challenges when trained using error backpropagation, due to…

机器学习 · 计算机科学 2022-02-16 Jason K. Eshraghian , Corey Lammie , Mostafa Rahimi Azghadi , Wei D. Lu

Training neural networks with binary weights and activations is a challenging problem due to the lack of gradients and difficulty of optimization over discrete weights. Many successful experimental results have been achieved with empirical…

机器学习 · 统计学 2021-10-20 Alexander Shekhovtsov , Viktor Yanush

Quantization reduces computation costs of neural networks but suffers from performance degeneration. Is this accuracy drop due to the reduced capacity, or inefficient training during the quantization procedure? After looking into the…

计算机视觉与模式识别 · 计算机科学 2019-12-24 Qing Jin , Linjie Yang , Zhenyu Liao

Deep neural networks (DNNs) are quantized for efficient inference on resource-constrained platforms. However, training deep learning models with low-precision weights and activations involves a demanding optimization task, which calls for…

机器学习 · 计算机科学 2021-05-25 Ziang Long , Penghang Yin , Jack Xin

The quantized neural networks (QNNs) can be useful for neural network acceleration and compression, but during the training process they pose a challenge: how to propagate the gradient of loss function through the graph flow with a…

机器学习 · 计算机科学 2020-03-26 Jun Chen , Yong Liu , Hao Zhang , Shengnan Hou , Jian Yang

Injecting discrete logical constraints into neural network learning is one of the main challenges in neuro-symbolic AI. We find that a straight-through-estimator, a method introduced to train binary neural networks, could effectively be…

人工智能 · 计算机科学 2023-07-11 Zhun Yang , Joohyung Lee , Chiyoun Park

To make deep neural networks feasible in resource-constrained environments (such as mobile devices), it is beneficial to quantize models by using low-precision weights. One common technique for quantizing neural networks is the…

机器学习 · 计算机科学 2019-03-06 Yu Bai , Yu-Xiang Wang , Edo Liberty

Despite significant work on low-bit quantization-aware training (QAT), there is still an accuracy gap between such techniques and native training. To address this, we introduce CAGE (Curvature-Aware Gradient Estimation), a new QAT method…

机器学习 · 计算机科学 2025-11-11 Soroush Tabesh , Mher Safaryan , Andrei Panferov , Alexandra Volkova , Dan Alistarh

Neural network training relies on gradient computation through backpropagation, yet memory requirements for storing layer activations present significant scalability challenges. We present the first adaptation of control-theoretic matrix…

机器学习 · 计算机科学 2025-10-02 Harbir Antil , Deepanshu Verma

Straight-through estimator (STE), which enables the gradient flow over the non-differentiable function via approximation, has been favored in studies related to quantization-aware training (QAT). However, STE incurs unstable convergence…

机器学习 · 计算机科学 2023-07-04 Juncheol Shin , Junhyuk So , Sein Park , Seungyeop Kang , Sungjoo Yoo , Eunhyeok Park

Gradient-based neural network training traditionally enforces symmetry between forward and backward propagation, requiring activation functions to be differentiable (or sub-differentiable) and strictly monotonic in certain regions to…

神经与进化计算 · 计算机科学 2025-09-10 Luigi Troiano , Francesco Gissi , Vincenzo Benedetto , Genny Tortora

Quantized neural networks can be viewed as a chain of noisy channels, where rounding in each layer reduces capacity as bit-width shrinks; the floating-point (FP) checkpoint sets the maximum input rate. We track capacity dynamics as the…

机器学习 · 计算机科学 2025-11-12 Sergey Salishev , Ian Akhremchik

Learning rates in stochastic neural network training are currently determined a priori to training, using expensive manual or automated iterative tuning. This study proposes gradient-only line searches to resolve the learning rate for…

机器学习 · 统计学 2020-01-16 Dominic Kafka , Daniel N. Wilke

Gradient estimation -- approximating the gradient of an expectation with respect to the parameters of a distribution -- is central to the solution of many machine learning problems. However, when the distribution is discrete, most common…

机器学习 · 统计学 2024-04-16 Jiaxin Shi , Yuhao Zhou , Jessica Hwang , Michalis K. Titsias , Lester Mackey

Memory footprint is one of the main limiting factors for large neural network training. In backpropagation, one needs to store the input to each operation in the computational graph. Every modern neural network model has quite a few…

机器学习 · 计算机科学 2022-02-04 Georgii Novikov , Daniel Bershatsky , Julia Gusak , Alex Shonenkov , Denis Dimitrov , Ivan Oseledets

One of the mysteries in the success of neural networks is randomly initialized first order methods like gradient descent can achieve zero training loss even though the objective function is non-convex and non-smooth. This paper demystifies…

机器学习 · 计算机科学 2019-02-06 Simon S. Du , Xiyu Zhai , Barnabas Poczos , Aarti Singh