Image synthesis often requires the Monte Carlo estimation of integrals. Based on a generalized concept of stratification we present an efficient sampling scheme that consistently outperforms previous techniques. This is achieved by assembling sampling patterns that are stratified in the sense of jittered sampling and N-rooks sampling at the same time. The faster convergence and improved anti-al...

Poor sensitivity to the interaural time difference (ITD) constrains the ability of human bilateral cochlear implant users to listen in everyday noisy acoustic environments. ITD sensitivity to periodic pulse trains degrades sharply with increasing pulse rate but can be restored at high pulse rates by jittering the interpulse intervals in a binaurally coherent manner (Laback and Majdak. Binaural ...

Herein, we address the expectations of frame potentials three types determinantal point processes(DPPs) on d-dimensional unit sphere: (i) spherical ensembles 2-dimensional sphere; (ii) harmonic sphere and (iii) jittered sampling processes sphere. The random configurations generated by such DPPs converge more rapidly towards finite norm tight frames(FUNTFs) than Poisson

Training with additive input noise (jitter) is a commonly used heuristic for improving generalization in layered perceptron artifiaal neural networks. One result of training with jitter is that the effective target function is the convolution of the actual target and the noise density. For many noise densities, this is approximately equivalent to a smoothing regularization. A drawback of traini...

Latin Hypercube Sampling (LHS) and Jittered Sampling (JS) both achieve better convergence than standard Monte Carlo Sampling (MCS) by using stratification to obtain a more uniform selection of samples, although LHS and JS use different stratification strategies. The “Koksma-Hlawka-like inequality” bounds the error in a computed mean in terms of the sample design’s discrepancy, which is a common...

In this short note, we develop a local approximation for the log-ratio of multivariate hypergeometric probability mass function over corresponding multinomial function. conjunction with bounds from Carter (Ann Stat 30(3):708–730, 2002) and Ouimet (J Plan Inference 215:218–233, 2021) on total variation between law vector jittered by uniform $$(-\,1/2,1/2)^d$$ normal distribution, expansion is th...

A method of signal waveform estimation from an ensemble of jittered noisy measurements is presented. The method uses group delay functions to perform the ensemble averaging and thus overcomes the difficulty of computing the unwrapped phase function before averaging. We propose a new technique, called group delay processing, to estimate the signal waveform if only a single noisy measurement is a...

We show that functional near infrared spectroscopy signals can monitor task-related cerebral hemodynamic response. We detect periodicities in the near infared spectroscopy signals and show that the estimated periods are consistent across multiple detectors and subjects, despite the jittered periodicity of the stimuli sequence that is used in a target categorization experiment. ©2003 American So...

Fluorescence microscopy using single molecule imaging and localization (PALM, STORM, and similar approaches) has quickly been adopted as a convenient method for obtaining multicolor, 3D superresolution images of biological samples. Using an approach based on extensive Monte Carlo simulations, we examined the performance of various noise reducing filters required for the detection of candidate m...