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A new gradient-based optimization approach by automatically scheduling the learning rate has been proposed recently, which is called Binary Forward Exploration (BFE). The Adaptive version of BFE has also been discussed thereafter. In this…

机器学习 · 计算机科学 2022-09-23 Xin Cao

Gradient descent can be surprisingly good at optimizing deep neural networks without overfitting and without explicit regularization. We find that the discrete steps of gradient descent implicitly regularize models by penalizing gradient…

机器学习 · 计算机科学 2022-07-20 David G. T. Barrett , Benoit Dherin

Weight quantization is an effective technique to compress deep neural networks for their deployment on edge devices with limited resources. Traditional loss-aware quantization methods commonly use the quantized gradient to replace the…

机器学习 · 计算机科学 2024-01-31 Lianbo Ma , Yuee Zhou , Jianlun Ma , Guo Yu , Qing Li

Neural networks trained to minimize the logistic (a.k.a. cross-entropy) loss with gradient-based methods are observed to perform well in many supervised classification tasks. Towards understanding this phenomenon, we analyze the training…

最优化与控制 · 数学 2020-06-23 Lenaic Chizat , Francis Bach

The training of Binary Neural Networks (BNNs) is fundamentally based on gradient approximation for non-differentiable binarization operations (e.g., sign function). However, prevailing methods including the Straight-Through Estimator (STE)…

机器学习 · 计算机科学 2026-05-26 Haoyu Huang , Boyu Liu , Linlin Yang , Yanjing Li , Yuguang Yang , Xuhui Liu , Canyu Chen , Zhongqian Fu , Baochang Zhang

Implicit models, which allow for the generation of samples but not for point-wise evaluation of probabilities, are omnipresent in real-world problems tackled by machine learning and a hot topic of current research. Some examples include…

机器学习 · 统计学 2018-04-27 Yingzhen Li , Richard E. Turner

A number of results have recently demonstrated the benefits of incorporating various constraints when training deep architectures in vision and machine learning. The advantages range from guarantees for statistical generalization to better…

机器学习 · 计算机科学 2019-05-27 Sathya N. Ravi , Tuan Dinh , Vishnu Lokhande , Vikas Singh

One of the most important parts of Artificial Neural Networks is minimizing the loss functions which tells us how good or bad our model is. To minimize these losses we need to tune the weights and biases. Also to calculate the minimum value…

机器学习 · 计算机科学 2021-01-08 Kaustubh Yadav

In this paper, we carry out numerical analysis to prove convergence of a novel sample-wise back-propagation method for training a class of stochastic neural networks (SNNs). The structure of the SNN is formulated as discretization of a…

数值分析 · 数学 2022-12-20 Richard Archibald , Feng Bao , Yanzhao Cao , Hui Sun

The implicit bias towards solutions with favorable properties is believed to be a key reason why neural networks trained by gradient-based optimization can generalize well. While the implicit bias of gradient flow has been widely studied…

机器学习 · 计算机科学 2023-10-31 Yiwen Kou , Zixiang Chen , Quanquan Gu

Sparse Neural Networks (NNs) can match the generalization of dense NNs using a fraction of the compute/storage for inference, and also have the potential to enable efficient training. However, naively training unstructured sparse NNs from…

机器学习 · 计算机科学 2022-03-17 Utku Evci , Yani A. Ioannou , Cem Keskin , Yann Dauphin

We address the problem of network quantization, that is, reducing bit-widths of weights and/or activations to lighten network architectures. Quantization methods use a rounding function to map full-precision values to the nearest quantized…

计算机视觉与模式识别 · 计算机科学 2021-08-17 Dohyung kim , Junghyup Lee , Bumsub Ham

This paper is concerned about a learning algorithm for a probabilistic model of spiking neural networks (SNNs). Jimenez Rezende & Gerstner (2014) proposed a stochastic variational inference algorithm to train SNNs with hidden neurons. The…

神经与进化计算 · 计算机科学 2021-06-04 Hiroshi Kajino

The ever-increasing computational complexity of deep learning models makes their training and deployment difficult on various cloud and edge platforms. Replacing floating-point arithmetic with low-bit integer arithmetic is a promising…

This paper addresses design of accelerators using systolic architectures for training of neural networks using a novel gradient interleaving approach. Training the neural network involves backpropagation of error and computation of…

信号处理 · 电气工程与系统科学 2023-02-27 Nanda Unnikrishnan , Keshab K. Parhi

Gradient descent prevails in artificial neural network training, but seems inept for spiking neural networks as small parameter changes can cause sudden, disruptive (dis-)appearances of spikes. Here, we demonstrate exact gradient descent…

神经元与认知 · 定量生物学 2025-01-29 Christian Klos , Raoul-Martin Memmesheimer

Stochastic gradient methods are central to large-scale learning, but they treat mini-batch gradients as unbiased estimators, which classical decision theory shows are inadmissible in high dimensions. We formulate gradient computation as a…

机器学习 · 计算机科学 2026-02-10 M. Arashi , M. Amintoosi

A widely believed explanation for the remarkable generalization capacities of overparameterized neural networks is that the optimization algorithms used for training induce an implicit bias towards benign solutions. To grasp this…

机器学习 · 计算机科学 2025-12-19 Maria Matveev , Vit Fojtik , Hung-Hsu Chou , Gitta Kutyniok , Johannes Maly

Training neural networks requires significant computational resources and energy. Methods like mixed-precision and quantization-aware training reduce bit usage, yet they still depend heavily on computationally expensive gradient-based…

机器学习 · 计算机科学 2025-09-30 Noa Cohen , Omkar Joglekar , Dotan Di Castro , Vladimir Tchuiev , Shir Kozlovsky , Michal Moshkovitz

The stochastic gradient descent (SGD) algorithm has achieved remarkable success in training deep learning models. However, it has several limitations, including susceptibility to vanishing gradients, sensitivity to input data, and a lack of…

机器学习 · 计算机科学 2025-03-14 Chengcheng Yan , Jiawei Xu , Qingsong Wang , Zheng Peng