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Surface code error correction offers a highly promising pathway to achieve scalable fault-tolerant quantum computing. When operated as stabilizer codes, surface code computations consist of a syndrome decoding step where measured stabilizer…

Quantum Physics · Physics 2023-07-14 Spiro Gicev , Lloyd C. L. Hollenberg , Muhammad Usman

We present a numerical method to learn an accurate predictive model for an unknown stochastic dynamical system from its trajectory data. The method seeks to approximate the unknown flow map of the underlying system. It employs the idea of…

Machine Learning · Computer Science 2024-12-24 Zhongshu Xu , Yuan Chen , Qifan Chen , Dongbin Xiu

The Reynolds Averaged Navier Stokes (RANS) models are the most common form of model in turbulence simulations. They are used to calculate Reynolds stress tensor and give robust results for engineering flows. But RANS model predictions have…

Machine Learning · Computer Science 2022-03-17 Khashayar Nobarani , Seyed Esmaeil Razavi

Many problems in climate science require the identification of signals obscured by both the "noise" of internal climate variability and differences across models. Following previous work, we train an artificial neural network (ANN) to…

Atmospheric and Oceanic Physics · Physics 2020-08-24 Elizabeth A. Barnes , Benjamin Toms , James W. Hurrell , Imme Ebert-Uphoff , Chuck Anderson , David Anderson

Missing data scenarios are very common in ML applications in general and time-series/sequence applications are no exceptions. This paper pertains to a novel Recurrent Neural Network (RNN) based solution for sequence prediction under missing…

Machine Learning · Computer Science 2022-08-19 Soumen Pachal , Avinash Achar

Deep convolutional neural networks (CNNs) have become an essential tool in the medical imaging-based computer-aided diagnostic pipeline. However, training accurate and reliable CNNs requires large fine-grain annotated datasets. To alleviate…

Image and Video Processing · Electrical Eng. & Systems 2021-12-01 Sajith Rajapaksa , Farzad Khalvati

Deep Neural Networks (DNNs) have become very popular for prediction in many areas. Their strength is in representation with a high number of parameters that are commonly learned via gradient descent or similar optimization methods. However,…

Machine Learning · Statistics 2016-10-11 Anthony Caterini , Dong Eui Chang

Prediction based on Irregularly Sampled Time Series (ISTS) is of wide concern in the real-world applications. For more accurate prediction, the methods had better grasp more data characteristics. Different from ordinary time series, ISTS is…

Machine Learning · Computer Science 2021-05-04 Chenxi Sun , Shenda Hong , Moxian Song , Yanxiu Zhou , Yongyue Sun , Derun Cai , Hongyan Li

We present a general system identification procedure capable of estimating of a broad spectrum of state-space dynamical models, including linear time-invariant (LTI), linear parameter-varying} (LPV), and nonlinear (NL) dynamics, along with…

Optimization and Control · Mathematics 2025-04-17 Alberto Bemporad , Roland Tóth

Traditional halftoning usually drops colors when dithering images with binary dots, which makes it difficult to recover the original color information. We proposed a novel halftoning technique that converts a color image into a binary…

Computer Vision and Pattern Recognition · Computer Science 2024-02-08 Cheuk-Kit Lau , Menghan Xia , Tien-Tsin Wong

To have a superior generalization, a deep learning neural network often involves a large size of training sample. With increase of hidden layers in order to increase learning ability, neural network has potential degradation in accuracy.…

Machine Learning · Computer Science 2019-01-01 Lianfa Li , Ying Fang , Jun Wu , Jinfeng Wang

Principal component analysis, dictionary learning, and auto-encoders are all unsupervised methods for learning representations from a large amount of training data. In all these methods, the higher the dimensions of the input data, the…

Machine Learning · Computer Science 2019-08-27 Thomas Chang , Bahareh Tolooshams , Demba Ba

Weakly-supervised anomaly detection aims at learning an anomaly detector from a limited amount of labeled data and abundant unlabeled data. Recent works build deep neural networks for anomaly detection by discriminatively mapping the normal…

Machine Learning · Computer Science 2021-08-29 Yingjie Zhou , Xucheng Song , Yanru Zhang , Fanxing Liu , Ce Zhu , Lingqiao Liu

Many engineering processes can be accurately modelled using partial differential equations (PDEs), but high dimensionality and non-convexity of the resulting systems pose limitations on their efficient optimisation. In this work, a model…

Optimization and Control · Mathematics 2024-10-17 Min Tao , Panagiotis Petsagkourakis , Jie Li , Constantinos Theodoropoulos

Physics-informed neural networks (PINNs) have recently emerged as an alternative way of solving partial differential equations (PDEs) without the need of building elaborate grids, instead, using a straightforward implementation. In…

Analysis of PDEs · Mathematics 2019-09-04 Dongkun Zhang , Lu Lu , Ling Guo , George Em Karniadakis

Hardware reliability is adversely affected by the downscaling of semiconductor devices and the scale-out of systems necessitated by modern applications. Apart from crashes, this unreliability often manifests as silent data corruptions…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-11-30 Vassilis Vassiliadis , Konstantinos Parasyris , Christos D. Antonopoulos , Spyros Lalis , Nikolaos Bellas

In this paper, the performance of three deep learning methods for predicting short-term evolution and for reproducing the long-term statistics of a multi-scale spatio-temporal Lorenz 96 system is examined. The methods are: echo state…

Machine Learning · Computer Science 2020-07-07 Ashesh Chattopadhyay , Pedram Hassanzadeh , Devika Subramanian

We present a subspace method based on neural networks (SNN) for solving the partial differential equation with high accuracy. The basic idea of our method is to use some functions based on neural networks as base functions to span a…

Numerical Analysis · Mathematics 2024-04-15 Zhaodong Xu , Zhiqiang Sheng

Approximate computing offers promising energy efficiency benefits for error-tolerant applications, but discovering optimal approximations requires extensive design space exploration (DSE). Predicting the accuracy of circuits composed of…

Hardware Architecture · Computer Science 2026-03-20 Ondrej Vlcek , Vojtech Mrazek

We propose improvements to the Artificial Neural Network (ANN) method of determining electron scattering cross-sections from swarm data proposed by coauthors. A limitation inherent to this problem, known as the inverse swarm problem, is the…

Computational Physics · Physics 2023-11-23 Dale L Muccignat , Gregory G Boyle , Nathan A Garland , Peter W Stokes , Ronald D White