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We propose a new definition of the chi-square divergence between distributions. Based on convexity properties and duality, this version of the {\chi}^2 is well suited both for the classical applications of the {\chi}^2 for the analysis of…

统计理论 · 数学 2011-01-26 Michel Broniatowski , Samantha Leorato

Binarized neural networks, or BNNs, show great promise in edge-side applications with resource limited hardware, but raise the concerns of reduced accuracy. Motivated by the complex neural networks, in this paper we introduce complex…

神经与进化计算 · 计算机科学 2021-04-21 Yanfei Li , Tong Geng , Ang Li , Huimin Yu

This paper proposes an algorithm that implements binary encoding of the categorical features of neural network model input data, while also implementing changes in the forward and backpropagation procedures in order to achieve the property…

机器学习 · 计算机科学 2023-11-13 Lazar Zlatić

Backpropagation is a classic automatic differentiation algorithm computing the gradient of functions specified by a certain class of simple, first-order programs, called computational graphs. It is a fundamental tool in several fields, most…

计算机科学中的逻辑 · 计算机科学 2019-11-07 Alois Brunel , Damiano Mazza , Michele Pagani

This work studies approximation based on single-hidden-layer feedforward and recurrent neural networks with randomly generated internal weights. These methods, in which only the last layer of weights and a few hyperparameters are optimized,…

概率论 · 数学 2021-02-17 Lukas Gonon , Lyudmila Grigoryeva , Juan-Pablo Ortega

Recurrent neural networks are a powerful tool, but they are very sensitive to their hyper-parameter configuration. Moreover, training properly a recurrent neural network is a tough task, therefore selecting an appropriate configuration is…

机器学习 · 计算机科学 2019-03-12 Andrés Camero , Jamal Toutouh , Enrique Alba

Recent breakthroughs in computer vision make use of large deep neural networks, utilizing the substantial speedup offered by GPUs. For applications running on limited hardware, however, high precision real-time processing can still be a…

机器学习 · 计算机科学 2018-02-05 Oran Shayer , Dan Levi , Ethan Fetaya

The performance of a neural network for a given task is largely determined by the initial calibration of the network parameters. Yet, it has been shown that the calibration, also referred to as training, is generally NP-complete. This…

量子物理 · 物理学 2019-11-21 Yidong Liao , Daniel Ebler , Feiyang Liu , Oscar Dahlsten

The Forward-Forward (FF) algorithm presents a compelling, bio-inspired alternative to backpropagation. However, while efficient in training, it has a computationally prohibitive inference process that requires a separate forward pass for…

机器学习 · 计算机科学 2026-05-04 Shalini Sarode , Brian Moser , Joachim Folz , Federico Raue , Tobias Nauen , Stanislav Frolov , Andreas Dengel

Backward propagation of errors (backpropagation) is a method to minimize objective functions (e.g., loss functions) of deep neural networks by identifying optimal sets of weights and biases. Imposing constraints on weight precision is often…

机器学习 · 计算机科学 2021-10-26 Guhyun Kim , Doo Seok Jeong

The training of deep neural nets is expensive. We present a predictor- corrector method for the training of deep neural nets. It alternates a predictor pass with a corrector pass using stochastic gradient descent with backpropagation such…

计算机视觉与模式识别 · 计算机科学 2018-03-16 Yatin Saraiya

Binary neural networks (BNNs) have received ever-increasing popularity for their great capability of reducing storage burden as well as quickening inference time. However, there is a severe performance drop compared with real-valued…

机器学习 · 计算机科学 2023-02-07 Sheng Xu , Yanjing Li , Teli Ma , Mingbao Lin , Hao Dong , Baochang Zhang , Peng Gao , Jinhu Lv

Despite its widespread use in neural networks, error backpropagation has faced criticism for its lack of biological plausibility, suffering from issues such as the backward locking problem and the weight transport problem. These limitations…

机器学习 · 计算机科学 2024-10-24 Chia-Hsiang Kao , Bharath Hariharan

Random backpropagation (RBP) is a variant of the backpropagation algorithm for training neural networks, where the transpose of the forward matrices are replaced by fixed random matrices in the calculation of the weight updates. It is…

机器学习 · 计算机科学 2017-12-25 Pierre Baldi , Peter Sadowski , Zhiqin Lu

Binary neural networks leverage $\mathrm{Sign}$ function to binarize weights and activations, which require gradient estimators to overcome its non-differentiability and will inevitably bring gradient errors during backpropagation. Although…

计算机视觉与模式识别 · 计算机科学 2023-07-18 Yefei He , Luoming Zhang , Weijia Wu , Hong Zhou

Ongoing studies have identified similarities between neural representations in biological networks and in deep artificial neural networks. This has led to renewed interest in developing analogies between the backpropagation learning…

神经与进化计算 · 计算机科学 2019-06-11 Theodore H. Moskovitz , Ashok Litwin-Kumar , L. F. Abbott

Binary Neural Networks (BNNs) use 1-bit weights and activations to efficiently execute deep convolutional neural networks on edge devices. Nevertheless, the binarization of the first layer is conventionally excluded, as it leads to a large…

机器学习 · 计算机科学 2023-05-05 Lorenzo Vorabbi , Davide Maltoni , Stefano Santi

In this paper, we study 1-bit convolutional neural networks (CNNs), of which both the weights and activations are binary. While efficient, the lacking of representational capability and the training difficulty impede 1-bit CNNs from…

计算机视觉与模式识别 · 计算机科学 2019-09-05 Zechun Liu , Wenhan Luo , Baoyuan Wu , Xin Yang , Wei Liu , Kwang-Ting Cheng

We propose tensorial neural networks (TNNs), a generalization of existing neural networks by extending tensor operations on low order operands to those on high order ones. The problem of parameter learning is challenging, as it corresponds…

机器学习 · 统计学 2018-12-11 Jiahao Su , Jingling Li , Bobby Bhattacharjee , Furong Huang

Recent results show that deep neural networks achieve excellent performance even when, during training, weights are quantized and projected to a binary representation. Here, we show that this is just the tip of the iceberg: these same…

神经与进化计算 · 计算机科学 2016-06-08 Paul Merolla , Rathinakumar Appuswamy , John Arthur , Steve K. Esser , Dharmendra Modha