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This short paper is based on Chung et al. (2010), where the cosine series representation (CSR) is used in modeling the shape of white matter fiber tracts in diffusion tensor imaging(DTI) and Wang et al. (2018), where the method is used to denoise EEG. The proposed explicit analytic approach offers far superior flexibility in statistical modeling compared to the usual implicit Fourier transform methods such as the discrete cosine transforms often used in signal processing. The MATLAB codes and sample data can be obtained from http://brainimaging.waisman.wisc.edu/~chung/tracts.
By integrating a series provided by Knopp, a series representation of the Euler-Mascheroni constant arises. The infinite sum representation of {gamma} is determined through Fourier series (sawtooth wave).
Binary grid mask representation is broadly used in instance segmentation. A representative instantiation is Mask R-CNN which predicts masks on a $28times 28$ binary grid. Generally, a low-resolution grid is not sufficient to capture the details, whil
The R package quantreg.nonpar implements nonparametric quantile regression methods to estimate and make inference on partially linear quantile models. quantreg.nonpar obtains point estimates of the conditional quantile function and its derivatives ba
We present an alternative formula to price European options through cosine series expansions, under models with a known characteristic function such as the Heston stochastic volatility model. It is more robust across strikes and as fast as the original COS method.
There is a large number of data archives and web services offering free access to multispectral satellite imagery. Images from multiple sources are increasingly combined to improve the spatio-temporal coverage of measurements while achieving more acc