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In this paper, we consider Hybrid Mixed Networks (HMN) which are Hybrid Bayesian Networks that allow discrete deterministic information to be modeled explicitly in the form of constraints. We present two approximate inference algorithms for…

Artificial Intelligence · Computer Science 2012-07-09 Vibhav Gogate , Rina Dechter

Two aspects of neural networks that have been extensively studied in the recent literature are their function approximation properties and their training by gradient descent methods. The approximation problem seeks accurate approximations…

Machine Learning · Computer Science 2022-09-20 R. Gentile , G. Welper

Neural network based approximate computing is a universal architecture promising to gain tremendous energy-efficiency for many error resilient applications. To guarantee the approximation quality, existing works deploy two neural networks…

Machine Learning · Computer Science 2018-12-19 Zhenghao Peng , Xuyang Chen , Chengwen Xu , Naifeng Jing , Xiaoyao Liang , Cewu Lu , Li Jiang

We improve recently published results about resources of Restricted Boltzmann Machines (RBM) and Deep Belief Networks (DBN) required to make them Universal Approximators. We show that any distribution p on the set of binary vectors of…

Machine Learning · Statistics 2010-07-27 Guido Montufar , Nihat Ay

The majority of the research on the quantization of Deep Neural Networks (DNNs) is focused on reducing the precision of tensors visible by high-level frameworks (e.g., weights, activations, and gradients). However, current hardware still…

Machine Learning · Computer Science 2024-01-26 Yaniv Blumenfeld , Itay Hubara , Daniel Soudry

Integrating the principles of approximate computing into the design of hardware-aware deep neural networks (DNN) has led to DNNs implementations showing good output quality and highly optimized hardware parameters such as low latency or…

Machine Learning · Computer Science 2025-10-23 Michal Pinos , Lukas Sekanina , Vojtech Mrazek

Deep Belief Network (DBN) has a deep architecture that represents multiple features of input patterns hierarchically with the pre-trained Restricted Boltzmann Machines (RBM). A traditional RBM or DBN model cannot change its network…

Neural and Evolutionary Computing · Computer Science 2018-07-12 Shin Kamada , Takumi Ichimura

Approximate circuits have been developed to provide good tradeoffs between power consumption and quality of service in error resilient applications such as hardware accelerators of deep neural networks (DNN). In order to accelerate the…

Hardware Architecture · Computer Science 2020-07-06 Vojtech Mrazek , Lukas Sekanina , Zdenek Vasicek

Deep neural networks (DNNs) have achieved significant success in a variety of real world applications, i.e., image classification. However, tons of parameters in the networks restrict the efficiency of neural networks due to the large model…

Machine Learning · Computer Science 2019-08-21 Yuzhe Ma , Ran Chen , Wei Li , Fanhua Shang , Wenjian Yu , Minsik Cho , Bei Yu

The state-of-the-art approaches employ approximate computing to reduce the energy consumption of DNN hardware. Approximate DNNs then require extensive retraining afterwards to recover from the accuracy loss caused by the use of approximate…

Neural and Evolutionary Computing · Computer Science 2020-01-31 Vojtech Mrazek , Zdenek Vasicek , Lukas Sekanina , Muhammad Abdullah Hanif , Muhammad Shafique

We study the efficacy and efficiency of deep generative networks for approximating probability distributions. We prove that neural networks can transform a low-dimensional source distribution to a distribution that is arbitrarily close to a…

Machine Learning · Computer Science 2023-12-05 Yunfei Yang , Zhen Li , Yang Wang

With the increasing deployment of deep neural networks (DNNs) in terrestrial and aerospace safety-critical applications, system reliability has emerged as a co-equal design metric alongside computational efficiency. Algorithm-based fault…

Cryptography and Security · Computer Science 2025-04-22 Xinghua Xue , Cheng Liu , Feng Min , Tao Luo , Yinhe Han

Nowadays, this is very popular to use the deep architectures in machine learning. Deep Belief Networks (DBNs) are deep architectures that use stack of Restricted Boltzmann Machines (RBM) to create a powerful generative model using training…

Computer Vision and Pattern Recognition · Computer Science 2016-01-07 Mohammad Ali Keyvanrad , Mohammad Mehdi Homayounpour

Recent progress in deep learning has been driven by increasingly larger models. However, their computational and energy demands have grown proportionally, creating significant barriers to their deployment and to a wider adoption of deep…

Machine Learning · Computer Science 2025-09-16 Pedro Savarese

Deep neural networks (DNNs) lack the precise semantics and definitive probabilistic interpretation of probabilistic graphical models (PGMs). In this paper, we propose an innovative solution by constructing infinite tree-structured PGMs that…

Machine Learning · Statistics 2025-03-25 Boyao Li , Alexander J. Thomson , Houssam Nassif , Matthew M. Engelhard , David Page

Recent Deep Neural Networks (DNNs) managed to deliver superhuman accuracy levels on many AI tasks. Several applications rely more and more on DNNs to deliver sophisticated services and DNN accelerators are becoming integral components of…

Hardware Architecture · Computer Science 2022-03-17 Ourania Spantidi , Georgios Zervakis , Iraklis Anagnostopoulos , Hussam Amrouch , Jörg Henkel

Approximate deep neural networks (AxDNNs) are promising for enhancing energy efficiency in real-world devices. One of the key contributors behind this enhanced energy efficiency in AxDNNs is the use of approximate multipliers.…

Machine Learning · Computer Science 2025-03-24 Ayesha Siddique , Khurram Khalil , Khaza Anuarul Hoque

Machine-learning architectures, such as Convolutional Neural Networks (CNNs) are vulnerable to adversarial attacks: inputs crafted carefully to force the system output to a wrong label. Since machine-learning is being deployed in…

Cryptography and Security · Computer Science 2022-11-03 Amira Guesmi , Ihsen Alouani , Khaled N. Khasawneh , Mouna Baklouti , Tarek Frikha , Mohamed Abid , Nael Abu-Ghazaleh

We show the existence of a deep neural network capable of approximating a wide class of high-dimensional approximations. The construction of the proposed neural network is based on a quasi-optimal polynomial approximation. We show that this…

Numerical Analysis · Mathematics 2019-12-09 Joseph Daws , Clayton Webster

Although deep learning models are highly effective for various learning tasks, their high computational costs prohibit the deployment to scenarios where either memory or computational resources are limited. In this paper, we focus on…

Computer Vision and Pattern Recognition · Computer Science 2017-09-14 Cong Leng , Hao Li , Shenghuo Zhu , Rong Jin