Multimodal Exponentially Modified Gaussian Oscillators
Acoustic modeling serves audio processing tasks such as de-noising, data reconstruction, model-based testing and classification. Previous work dealt with signal parameterization of wave envelopes either by multiple Gaussian distributions or a single asymmetric Gaussian curve, which both fall short in representing super-imposed echoes sufficiently well. This study presents a three-stage Multimodal Exponentially Modified Gaussian (MEMG) model with an optional oscillating term that regards captured echoes as a superposition of univariate probability distributions in the temporal domain. With this, synthetic ultrasound signals suffering from artifacts can be fully recovered, which is backed by quantitative assessment. Real data experimentation is carried out to demonstrate the classification capability of the acquired features with object reflections being detected at different points in time. The code is available at https://github.com/hahnec/multimodal_emg.
Code (1)
Similar Papers 제목 키워드 기반
A multivariate extension to the Exponentially-modified Gaussian distribution
The exponentially-modified Gaussian (EMG) distribution is a convolution sum of a univariate Gaussian and an exponential distribution. This has been used to model univariate skewed data such as chromatographic peaks' shap…
TranslationExponentially-Modified Gaussian Mixture Model: Applications in Spectroscopy
We propose a novel exponentially-modified Gaussian (EMG) mixture residual model. The EMG mixture is well suited to model residuals that are contaminated by a distribution with positive support. This is in contrast to com…
modelquantile regressionregressionGGMPs: Generalized Gaussian Mixture Processes
Conditional density estimation is complicated by multimodality, heteroscedasticity, and strong non-Gaussianity. Gaussian processes (GPs) provide a principled nonparametric framework with calibrated uncertainty, but stand…
Density EstimationGaussian ProcessesA numerically efficient output-only system-identification framework for stochastically forced self-sustained oscillators
Self-sustained oscillations are ubiquitous in nature and engineering. In this paper, we propose a novel output-only system-identification framework for identifying the system parameters of a self-sustained oscillator aff…
Computational EfficiencyStein's Lemma for the Reparameterization Trick with Exponential Family Mixtures
Stein's method (Stein, 1973; 1981) is a powerful tool for statistical applications and has significantly impacted machine learning. Stein's lemma plays an essential role in Stein's method. Previous applications of Stein'…
LEMMA