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Deep neural networks are revolutionizing the way complex systems are developed. However, these automatically-generated networks are opaque to humans, making it difficult to reason about them and guarantee their correctness. Here, we propose…

Artificial Intelligence · Computer Science 2020-08-11 Yuval Jacoby , Clark Barrett , Guy Katz

Despite the recent popularity of deep generative state space models, few comparisons have been made between network architectures and the inference steps of the Bayesian filtering framework -- with most models simultaneously approximating…

Machine Learning · Statistics 2020-09-29 Bryan Lim , Stefan Zohren , Stephen Roberts

We present a new model, Predictive State Recurrent Neural Networks (PSRNNs), for filtering and prediction in dynamical systems. PSRNNs draw on insights from both Recurrent Neural Networks (RNNs) and Predictive State Representations (PSRs),…

Machine Learning · Statistics 2017-06-20 Carlton Downey , Ahmed Hefny , Boyue Li , Byron Boots , Geoffrey Gordon

In this study, we address the problem of chaotic synchronization over a noisy channel by introducing a novel Deep Chaos Synchronization (DCS) system using a Convolutional Neural Network (CNN). Conventional Deep Learning (DL) based…

Signal Processing · Electrical Eng. & Systems 2021-04-20 Majid Mobini , Georges Kaddoum

The aim of survival analysis in healthcare is to estimate the probability of occurrence of an event, such as a patient's death in an intensive care unit (ICU). Recent developments in deep neural networks (DNNs) for survival analysis show…

Reservoir computers (RCs) and recurrent neural networks (RNNs) can mimic any finite-state automaton in theory, and some workers demonstrated that this can hold in practice. We test the capability of generalized linear models, RCs, and Long…

Machine Learning · Computer Science 2019-10-18 S. E. Marzen , J. P. Crutchfield

Sum-product networks (SPNs) have recently emerged as a novel deep learning architecture enabling highly efficient probabilistic inference. Since their introduction, SPNs have been applied to a wide range of data modalities and extended to…

Machine Learning · Computer Science 2022-11-15 Adam Dejl , Harsh Deep , Jonathan Fei , Ardavan Saeedi , Li-wei H. Lehman

Neural operators have emerged as powerful tools for learning solution operators of partial differential equations. However, in time-dependent problems, standard training strategies such as teacher forcing introduce a mismatch between…

Machine Learning · Computer Science 2025-05-28 Zaijun Ye , Chen-Song Zhang , Wansheng Wang

Principal component analysis (PCA) is a widely employed statistical tool used primarily for dimensionality reduction. However, it is known to be adversely affected by the presence of outlying observations in the sample, which is quite…

Methodology · Statistics 2023-09-26 Subhrajyoty Roy , Ayanendranath Basu , Abhik Ghosh

Real time, accurate passive seismic event detection is a critical safety measure across a range of monitoring applications from reservoir stability to carbon storage to volcanic tremor detection. The most common detection procedure remains…

Geophysics · Physics 2020-12-08 Claire Birnie , Fredrik Hansteen

Ensuring safety of nonlinear systems under model uncertainty and external disturbances is crucial, especially for real-world control tasks. Predictive methods such as robust model predictive control (RMPC) require solving nonconvex…

Systems and Control · Electrical Eng. & Systems 2023-11-14 Zeyang Li , Chuxiong Hu , Weiye Zhao , Changliu Liu

This paper investigates the design of output-feedback schemes for systems described by a class of recurrent neural networks. We propose a procedure based on linear matrix inequalities for designing an observer and a static state-feedback…

Systems and Control · Electrical Eng. & Systems 2026-03-26 Daniele Ravasio , Alessio La Bella , Marcello Farina , Andrea Ballarino

Due to the vast testing space, the increasing demand for effective and efficient testing of deep neural networks (DNNs) has led to the development of various DNN test case prioritization techniques. However, the fact that DNNs can deliver…

Software Engineering · Computer Science 2024-09-17 Jialuo Chen , Jingyi Wang , Xiyue Zhang , Youcheng Sun , Marta Kwiatkowska , Jiming Chen , Peng Cheng

Data-driven modeling and machine learning are widely used to model the behavior of dynamic systems. One application is the residual evaluation of technical systems where model predictions are compared with measurement data to create…

Machine Learning · Computer Science 2023-05-09 Arman Mohammadi , Theodor Westny , Daniel Jung , Mattias Krysander

Principal component analysis (PCA) represents a standard approach to identify collective variables $\{x_i\}\!=\!\boldsymbol{x}$, which can be used to construct the free energy landscape $\Delta G(\boldsymbol{x})$ of a molecular system.…

Biomolecules · Quantitative Biology 2019-05-30 Matthias Post , Steffen Wolf , Gerhard Stock

Network data are commonly collected in a variety of applications, representing either directly measured or statistically inferred connections between features of interest. In an increasing number of domains, these networks are collected…

Machine Learning · Statistics 2022-09-05 Michael Weylandt , George Michailidis

The transition of next generation advanced nuclear reactor systems from analog to fully digital instrumentation and control will necessitate robust mechanisms to safeguard against potential data integrity threats. One challenge is the…

Systems and Control · Electrical Eng. & Systems 2025-08-19 Zachery Dahm , Vasileios Theos , Konstantinos Vasili , William Richards , Konstantinos Gkouliaras , Stylianos Chatzidakis

We tackle the challenges of modeling high-dimensional data sets, particularly those with latent low-dimensional structures hidden within complex, non-linear, and noisy relationships. Our approach enables a seamless integration of concepts…

Machine Learning · Statistics 2025-03-17 Zichuan Guo , Mihai Cucuringu , Alexander Y. Shestopaloff

We utilize machine learning models which are based on recurrent neural networks to optimize dynamical decoupling (DD) sequences. DD is a relatively simple technique for suppressing the errors in quantum memory for certain noise models. In…

Quantum Physics · Physics 2017-02-01 Moritz August , Xiaotong Ni

In a dynamical system, the transition between reactants and products is typically mediated by an energy barrier whose properties determine the corresponding pathways and rates. The latter is the flux through a dividing surface (DS) between…