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Our goal is to provide a review of deep learning methods which provide insight into structured high-dimensional data. Rather than using shallow additive architectures common to most statistical models, deep learning uses layers of…

Machine Learning · Statistics 2023-10-11 Nick Polson , Vadim Sokolov

It is typically understood that the training of modern neural networks is a process of fitting the probability distribution of desired output. However, recent paradoxical observations in a number of language generation tasks let one wonder…

Machine Learning · Computer Science 2023-05-31 Huang Bojun , Fei Yuan

Deep neural networks (DNNs) are powerful machine learning models and have succeeded in various artificial intelligence tasks. Although various architectures and modules for the DNNs have been proposed, selecting and designing the…

Neural and Evolutionary Computing · Computer Science 2018-01-24 Shinichi Shirakawa , Yasushi Iwata , Youhei Akimoto

Ensembling a neural network is a widely recognized approach to enhance model performance, estimate uncertainty, and improve robustness in deep supervised learning. However, deep ensembles often come with high computational costs and memory…

Deep learning has arguably achieved tremendous success in recent years. In simple words, deep learning uses the composition of many nonlinear functions to model the complex dependency between input features and labels. While neural networks…

Machine Learning · Statistics 2019-04-16 Jianqing Fan , Cong Ma , Yiqiao Zhong

Probabilistic graphical models are traditionally known for their successes in generative modeling. In this work, we advocate layered graphical models (LGMs) for probabilistic discriminative learning. To this end, we design LGMs in close…

Machine Learning · Computer Science 2019-02-04 Yuesong Shen , Tao Wu , Csaba Domokos , Daniel Cremers

This study evaluates deep neural networks for forecasting probability distributions of financial returns. 1D convolutional neural networks (CNN) and Long Short-Term Memory (LSTM) architectures are used to forecast parameters of three…

Risk Management · Quantitative Finance 2025-09-03 Jakub Michańków

Spiking neural networks (SNNs) offer a promising energy-efficient alternative to artificial neural networks (ANNs), in virtue of their high biological plausibility, rich spatial-temporal dynamics, and event-driven computation. The direct…

Neural and Evolutionary Computing · Computer Science 2024-07-12 Chenlin Zhou , Han Zhang , Liutao Yu , Yumin Ye , Zhaokun Zhou , Liwei Huang , Zhengyu Ma , Xiaopeng Fan , Huihui Zhou , Yonghong Tian

Deep learning is a powerful approach with good performance on many different tasks. However, these models often require massive computational resources. It is a worrying trend that we increasingly need models that work well on more complex…

Neural and Evolutionary Computing · Computer Science 2021-03-30 Ha-Thanh Nguyen , Le-Minh Nguyen

Deep neural networks (DNN) are the state of the art on many engineering problems such as computer vision and audition. A key factor in the success of the DNN is scalability - bigger networks work better. However, the reason for this…

Machine Learning · Computer Science 2015-02-13 Andrew J. R. Simpson

Deep neural networks tend to underestimate uncertainty and produce overly confident predictions. Recently proposed solutions, such as MC Dropout and SDENet, require complex training and/or auxiliary out-of-distribution data. We propose a…

Machine Learning · Computer Science 2021-10-14 Akib Mashrur , Wei Luo , Nayyar A. Zaidi , Antonio Robles-Kelly

Traditional deep neural nets (NNs) have shown the state-of-the-art performance in the task of classification in various applications. However, NNs have not considered any types of uncertainty associated with the class probabilities to…

Machine Learning · Computer Science 2019-10-16 Xujiang Zhao , Yuzhe Ou , Lance Kaplan , Feng Chen , Jin-Hee Cho

Point cloud data have been widely explored due to its superior accuracy and robustness under various adverse situations. Meanwhile, deep neural networks (DNNs) have achieved very impressive success in various applications such as…

Computer Vision and Pattern Recognition · Computer Science 2023-04-04 Aoran Xiao , Jiaxing Huang , Dayan Guan , Xiaoqin Zhang , Shijian Lu , Ling Shao

Sum-product networks (SPNs) are a class of probabilistic graphical models that allow tractable marginal inference. However, the maximum a posteriori (MAP) inference in SPNs is NP-hard. We investigate MAP inference in SPNs from both…

Artificial Intelligence · Computer Science 2017-11-21 Jun Mei , Yong Jiang , Kewei Tu

In this paper, we propose a new deep learning approach, called neural association model (NAM), for probabilistic reasoning in artificial intelligence. We propose to use neural networks to model association between any two events in a…

Artificial Intelligence · Computer Science 2016-08-04 Quan Liu , Hui Jiang , Andrew Evdokimov , Zhen-Hua Ling , Xiaodan Zhu , Si Wei , Yu Hu

While deep learning has demonstrated impressive progress, it remains a daunting challenge to learn from hard samples as these samples are usually noisy and intricate. These hard samples play a crucial role in the optimal performance of deep…

Computer Vision and Pattern Recognition · Computer Science 2024-12-30 Qiao Xiao , Boqian Wu , Lu Yin , Christopher Neil Gadzinski , Tianjin Huang , Mykola Pechenizkiy , Decebal Constantin Mocanu

The integration of Scientific Machine Learning (SciML) techniques with uncertainty quantification (UQ) represents a rapidly evolving frontier in computational science. This work advances Physics-Informed Neural Networks (PINNs) by…

Machine Learning · Statistics 2025-12-30 Georgios Arampatzis , Stylianos Katsarakis , Charalambos Makridakis

Random Neural Networks (RNNs) are a class of Neural Networks (NNs) that can also be seen as a specific type of queuing network. They have been successfully used in several domains during the last 25 years, as queuing networks to analyze the…

Neural and Evolutionary Computing · Computer Science 2016-09-19 Sebastián Basterrech , Gerardo Rubino

Neural networks (NNs) can achieved high performance in various fields such as computer vision, and natural language processing. However, deploying NNs in resource-constrained safety-critical systems has challenges due to uncertainty in the…

Machine Learning · Computer Science 2024-01-17 Soyed Tuhin Ahmed

As a result of the growing size of Deep Neural Networks (DNNs), the gap to hardware capabilities in terms of memory and compute increases. To effectively compress DNNs, quantization and connection pruning are usually considered. However,…

Machine Learning · Computer Science 2019-06-13 Guenther Schindler , Wolfgang Roth , Franz Pernkopf , Holger Froening
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