On learning higher-order cumulants in diffusion models [PDF]
Machine Learning: Science and TechnologyTo analyse how diffusion models learn correlations beyond Gaussian ones, we study the behaviour of higher-order cumulants, or connected n -point functions, under both the forward and backward process.
Gert Aarts +3 more
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Application of Higher Order Cumulants for Seismic Wavelet Reconstruction
Data Science Journal, 2007 According to the fact that high order cumulants (HOC) retain the phase information of signals and the HOC of the Gaussian color noise is always equal to zero, a new method of wavelet reconstruction is provided in this paper, based on 4th-order cumulants ...
Yajun Li
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Sliding window higher-order cumulants for detection of eye blink artifact from short segments of single-channel EEG [PDF]
PeerJ Computer ScienceBackground The prevalence of single-channel electroencephalogram (EEG) is increasing. However, eye blink artifacts can contaminate EEG signals, potentially impacting their clinical utility.
Guojing Wang +5 more
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Higher order net-baryon number cumulants and baryon-strangeness correlations: Comparing QCD results on the pseudo-critical line with RHIC-BES II results on the freeze-out line [PDF]
EPJ Web of ConferencesWe present lattice QCD results for ratios of net-baryon number cumulants along the pseudo-critical line and compare them with STAR measurements from the RHIC BES-II program.
Goswami Jishnu, Karsch Frithjof
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Traffic Rate Network Tomography with Higher-Order Cumulants [PDF]
Networks, 2020 AbstractNetwork tomography aims at estimating source–destination traffic rates from link traffic measurements. This inverse problem was formulated by Vardi in 1996 for Poisson traffic over networks operating under deterministic as well as random routing regimes. In this article, we expand Vardi's second‐order moment matching rate estimation approach to
H. Lev-Ari, Y. Ephraim, Brian L. Mark
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Higher order net-proton number cumulants dependence on the centrality definition and other spurious effects [PDF]
, 2017 We study the dependence of the normalized moments of the net-proton multiplicity distributions on the definition of centrality in relativistic nuclear collisions at a beam energy of $\sqrt{s_{\mathrm{NN}}}= 7.7$ GeV.
Bleicher, M. +5 more
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Higher Order Cumulants in Colorless Partonic Plasma [PDF]
AIP Conference Proceedings, 2016 SIMFP2016 at JAZAN ...
Salah Cherif, M. A. A. Ahmed, M. Ladrem
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Causal Discovery with Latent Confounders Based on Higher-Order Cumulants [PDF]
CoRR, 2023 Causal discovery with latent confounders is an important but challenging task in many scientific areas. Despite the success of some overcomplete independent component analysis (OICA) based methods in certain domains, they are computationally expensive and can easily get stuck into local optima.
Ruichu Cai +4 more
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On higher-order moment and cumulant estimation
Journal of Statistical Computation and Simulation, 2019 Moments and cumulants are involved in statistical analysis for a wide range of fields. A natural and popular approach to moment and cumulant estimation is based on the sample average. However, it is well known that these sample estimates usually perform poorly.
Lok Hang Chan +4 more
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On the neglecting of higher-order cumulants in EXAFS data analysis [PDF]
Journal of Synchrotron Radiation, 2009 The cumulant expansion is one of the most powerful and useful methods for EXAFS data analysis, in which the higher-order cumulants allow to consider deviations from a simple Gaussian distribution. In this work, analytical expressions have been derived to show the effects of neglecting higher-order cumulants in EXAFS analysis by the ratio method.
Andrea Sanson
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