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We introduce a new class of continuous-time models of the stochastic volatility of asset prices. The models can simultaneously incorporate roughness and slowly decaying autocorrelations, including proper long memory, which are two stylized…

Statistical Finance · Quantitative Finance 2021-01-06 Mikkel Bennedsen , Asger Lunde , Mikko S. Pakkanen

Functional magnetic resonance imaging or functional MRI (fMRI) is a very popular tool used for differing brain regions by measuring brain activity. It is affected by physiological noise, such as head and brain movement in the scanner from…

Methodology · Statistics 2023-10-30 Fangyijie Wang , Michael Salter-Townshend

Estimation and prediction in high dimensional multivariate factor stochastic volatility models is an important and active research area because such models allow a parsimonious representation of multivariate stochastic volatility. Bayesian…

Computation · Statistics 2021-04-27 David Gunawan , Robert Kohn , David Nott

Fabrication process variations are a major source of yield degradation in the nano-scale design of integrated circuits (IC), microelectromechanical systems (MEMS) and photonic circuits. Stochastic spectral methods are a promising technique…

Computational Engineering, Finance, and Science · Computer Science 2016-11-08 Zheng Zhang , Tsui-Wei Weng , Luca Daniel

The modeling of conventional (deterministic) electronic circuits - ones consisting of transistors, resistors, capacitors, inductors, and other traditional electronic components - is a well-established subject. The cycle-to-cycle variability…

Emerging Technologies · Computer Science 2023-10-03 V. J. Dowling , V. A. Slipko , Y. V. Pershin

Memristors are expected to form a major cornerstone in the upcoming renaissance of analog computing, owing to their very small spatial footprint and low power consumption. Due to the nature of their structure and operation, the response of…

Mesoscale and Nanoscale Physics · Physics 2023-02-17 Roland Konlechner , Anis Allagui , Vladimir N. Antonov , Dmitry Yudin

Stochastic spectral methods have become a popular technique to quantify the uncertainties of nano-scale devices and circuits. They are much more efficient than Monte Carlo for certain design cases with a small number of random parameters.…

Computational Engineering, Finance, and Science · Computer Science 2016-03-22 Zheng Zhang , Tsui-Wei Weng , Luca Daniel

Memristor devices are crucial for developing neuromorphic computers and next-generation memory technologies. In this work, we provide a comprehensive modelling tool for simulating static DC reading operations of memristor crossbar arrays…

Neural and Evolutionary Computing · Computer Science 2019-10-23 Yasir J Noori , C H de Groot

Understanding the resistive switching behavior, or the resistance change, of oxide-based memristor devices, is critical to predicting their responses with known electrical inputs. Also, with the known electrical response of a memristor, one…

The memristors are expected to be fundamental devices for neuromorphic systems and switching applications. For example, the device made of a sandwiched layer of poly(N-vinylcarbazole) and reduced graphene composite between asymmetric…

In Valence Change Memory (VCM) cells, the conductance of an insulating switching layer is reversibly modulated by creating and redistributing point defects under an external field. Accurate simulations of the switching dynamics of these…

Disordered Systems and Neural Networks · Physics 2023-01-02 Manasa Kaniselvan , Mathieu Luisier , Marko Mladenović

Technology based on memristors, resistors with memory whose resistance depends on the history of the crossing charges, has lately enhanced the classical paradigm of computation with neuromorphic architectures. However, in contrast to the…

Quantum Physics · Physics 2017-01-12 P. Pfeiffer , I. L. Egusquiza , M. Di Ventra , M. Sanz , E. Solano

Memristor, memory resistor, is an emerging technology for computational memory. Number of different memristor models are available based on the physical experiments. To use memristor as a computational memory element, one should know how…

Emerging Technologies · Computer Science 2019-06-14 Santosh Parajuli , Ram Kaji Budhathoki

Transformer-based models have emerged as powerful tools for multivariate time series forecasting (MTSF). However, existing Transformer models often fall short of capturing both intricate dependencies across variate and temporal dimensions…

Machine Learning · Computer Science 2024-06-10 Juncheng Liu , Chenghao Liu , Gerald Woo , Yiwei Wang , Bryan Hooi , Caiming Xiong , Doyen Sahoo

We present molecular-dynamic simulations of memory resistors (memristors) including the crystal field effects on mobile ionic species such as oxygen vacancies appearing during operation of the device. Vacancy distributions show different…

Materials Science · Physics 2015-05-28 S. E. Savel'ev , A. S. Alexandrov , A. M. Bratkovsky , R. Stanley Williams

Stochastic simulation is a widely used method for estimating quantities in models of chemical reaction networks where uncertainty plays a crucial role. However, reducing the statistical uncertainty of the corresponding estimators requires…

Quantitative Methods · Quantitative Biology 2019-06-13 Michael Backenköhler , Luca Bortolussi , Verena Wolf

The memristor is a device whose resistance changes depending on the polarity and magnitude of a voltage applied to the device's terminals. We design a minimalistic model of a regular network of memristors using structurally-dynamic cellular…

Cellular Automata and Lattice Gases · Physics 2015-06-03 Andrew Adamatzky , Leon Chua

Measurement system analysis aims to quantify the variability in data attributable to the measurement system and evaluate its contribution to overall data variability. This paper conducts a rigorous theoretical investigation of the…

Applications · Statistics 2025-01-31 Banafsheh Lashkari , Shojaeddin Chenouri

This paper proposes a novel multiscale estimator for the integrated volatility of an Ito process, in the presence of market microstructure noise (observation error). The multiscale structure of the observed process is represented…

Methodology · Statistics 2009-04-19 Sofia Olhede , Adam Sykulski , Grigorios Pavliotis

While resistors with memory, sometimes called memristive elements (such as ReRAM cells), are often studied under conditions of periodic driving, little attention has been paid to the Fourier features of their memory response (hysteresis).…

Applied Physics · Physics 2023-10-03 Y. V. Pershin , C. -C. Chien , M. Di Ventra
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