Unidimensional Scaling

Leeuw, Jan de

doi:10.1002/0470013192.bsa700

Cited by 2 publications

(2 citation statements)

References 11 publications

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“…The usual gradient descent algorithm is inapplicable in such case since ∥x∥ is not differentiable at x = 0. Usual convergence theorems for gradient methods are invalid under such cases and local minimum points do not need to satisfy the stationary equations (De Leeuw, 2005). Hence, we slightly modify the gradient descent process to…”

Section: D2 Experiments Of Approximated Optimal Valuementioning

confidence: 99%

Sensitivity tests of cosmic velocity fields to massive neutrinos

Zhou

Liu

et al. 2022

Monthly Notices of the Royal Astronomical Society

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We investigate impacts of massive neutrinos on the cosmic velocity fields, employing high-resolution cosmological N-body simulations provided by the information-optimized $\tt {CUBE}$ code, where cosmic neutrinos are evolved using collisionless hydrodynamics and their perturbations can be accurately resolved. In this study we focus, for the first time, on the analysis of massive-neutrino induced suppression effects in various cosmic velocity field components of velocity magnitude, divergence, vorticity and dispersion. By varying the neutrino mass sum Mν from 0 – 0.4 eV, the simulations show that, the power spectra of vorticity – exclusively sourced by non-linear structure formation that is affected by massive neutrinos significantly – is very sensitive to the mass sum, which potentially provide novel signatures in detecting massive neutrinos. Furthermore, using the chi-square statistic, we quantitatively test the sensitivity of the density and velocity power spectra to the neutrino mass sum. Indeed, we find that, the vorticity spectrum has the highest sensitivity, and the null hypothesis of massless neutrinos is incompatible with both vorticity and divergence spectra from Mν = 0.1 eV at high significance (p-value =0.03 and 0.07, respectively). These results demonstrate clearly the importance of peculiar velocity field measurements, in particular of vorticity and divergence components, in determination of neutrino mass and mass hierarchy.

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Section: D2 Experiments Of Approximated Optimal Valuementioning

confidence: 99%

Sensitivity tests of cosmic velocity fields to massive neutrinos

Zhou

Liu

et al. 2022

Monthly Notices of the Royal Astronomical Society

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“…Unidimensional scaling is a one-dimensional alternative to MDS (De Leeuw, 2005) that works in a straight linenot in a circle. However, there are a number of statistical problems that are not adequately resolved by linear scales, given that they can be better addressed using circular scales.…”

Section: Unidimensional Scalingmentioning

confidence: 99%

Construction and validation of the circumplex model of affect with English and Greek athletic samples

Loizou

Karageorghis

2015

International Journal of Sport and Exercise Psychology

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The circumplex model of affect holds that most emotions can be arranged in a circular fashion around the perimeter of two independent bipolar dimensions that intersect each other, namely pleasant/unpleasant and arousing/sleepy. The authors of the present study attempted to construct the circumplex model using English and Greek athletic samples, examining similarities among and differences between these cultures, and comparing the original circumplex against the models that were constructed. A mixed-model design was employed in which there was a within-subjects factor (three word-sorting tasks) and a betweensubjects factor (culture). A purposive athletic sample of 128 volunteers (English, n = 60; 29 women, 31 men; Mage = 24.5 ± 5.0 years; Greek, n = 68; 23 women, 45 men; Mage = 23.2 ± 4.2 years) completed three word-sorting tasks. A software package named Kyklos was developed to facilitate the circumplex analysis. Findings provided support for the circumplex model among English and Greek athletic populations and more specifically, its pleasantness and arousal dimensions. Some concepts describing an individual's emotional or psychological state may be understood and experienced differently across such diverse cultures.

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Unidimensional Scaling

Cited by 2 publications

References 11 publications

Sensitivity tests of cosmic velocity fields to massive neutrinos

Sensitivity tests of cosmic velocity fields to massive neutrinos

Construction and validation of the circumplex model of affect with English and Greek athletic samples

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