Tensor network and ($p$-adic) AdS/CFT
, 2018 We use the tensor network living on the Bruhat-Tits tree to give a concrete realization of the recently proposed $p$-adic AdS/CFT correspondence (a holographic duality based on the $p$-adic number field $\mathbb{Q}_p$).
Bhattacharyya, Arpan +3 more
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A wavelet analysis of the Rosenblatt process: chaos expansion and estimation of the self-similarity parameter [PDF]
, 2010 By using chaos expansion into multiple stochastic integrals, we make a wavelet analysis of two self-similar stochastic processes: the fractional Brownian motion and the Rosenblatt process.
Abry +33 more
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Daubechies wavelets as a basis set for density functional pseudopotential calculations
, 2008 Daubechies wavelets are a powerful systematic basis set for electronic structure calculations because they are orthogonal and localized both in real and Fourier space.
Alexander Willand +13 more
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Wavelet Deconvolution in a Periodic Setting with Long-Range Dependent Errors
, 2012 In this paper, a hard thresholding wavelet estimator is constructed for a deconvolution model in a periodic setting that has long-range dependent noise. The estimation paradigm is based on a maxiset method that attains a near optimal rate of convergence ...
Wishart, Justin Rory
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A Multiscale Guide to Brownian Motion
, 2015 We revise the Levy's construction of Brownian motion as a simple though still rigorous approach to operate with various Gaussian processes. A Brownian path is explicitly constructed as a linear combination of wavelet-based "geometrical features" at ...
Beliaev, Dmitry +2 more
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Wavelet-based density estimation for noise reduction in plasma simulations using particles [PDF]
, 2009 For given computational resources, the accuracy of plasma simulations using particles is mainly held back by the noise due to limited statistical sampling in the reconstruction of the particle distribution function.
Chen, Guangye +4 more
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Open GeosciencesTo explore the mechanisms of spatiotemporal changes in carbon storage (CS) and identify optimal pathways for achieving carbon neutrality. Existing studies have revealed the intrinsic relationship between land use changes and carbon storage.
Huang Xuankai +3 more
doaj +1 more source
Analysis of Modulated Multivariate Oscillations
, 2011 The concept of a common modulated oscillation spanning multiple time series is formalized, a method for the recovery of such a signal from potentially noisy observations is proposed, and the time-varying bias properties of the recovery method are derived.
Lilly, Jonathan M., Olhede, Sofia C.
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Time-varying parametric modelling and time-dependent spectral characterisation with applications to EEG signals using multi-wavelets [PDF]
, 2008 A new time-varying autoregressive (TVAR) modelling approach is proposed for nonstationary signal processing and analysis, with application to EEG data modelling and power spectral estimation.
Billings, S.A., Liu, J., Wei, H.L.
core
On signal-noise decomposition of timeseries using the continuous wavelet transform: Application to sunspot index [PDF]
, 2003 We show that the continuous wavelet transform can provide a unique decomposition of a timeseries in to 'signal-like' and 'noise-like' components: From the overall wavelet spectrum two mutually independent skeleton spectra can be extracted, allowing the
Bak +6 more
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