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A key science goal of upcoming dark energy surveys is to seek time evolution of the dark energy. This problem is one of {\em model selection}, where the aim is to differentiate between cosmological models with different numbers of…

We place, by the maximum likelihood method, constraints on a variable dark energy model with the equation of state $w=w_0/[1+b\ln (1+z)]^2$ using some recent observational data, including the new Sne Ia data from the SNLS, the size of…

Astrophysics · Physics 2008-11-26 Puxun Wu , Hongwei Yu

Quantum state estimation (or state tomography) is an indispensable task in quantum information processing. Because full state tomography that determines all elements of the density matrix is computationally demanding, one usually takes the…

Quantum Physics · Physics 2023-09-21 Hiroshi Yano , Naoki Yamamoto

Model averaging is a useful and robust method for dealing with model uncertainty in statistical analysis. Often, it is useful to consider data subset selection at the same time, in which model selection criteria are used to compare models…

Methodology · Statistics 2023-10-26 Ethan T. Neil , Jacob W. Sitison

In this work we study linear and non-linear cosmological interactions, which depend on dark matter and dark energy densities in the framework of General Relativity. By using the Akaike information criterion (AIC) and the Bayesian…

Cosmology and Nongalactic Astrophysics · Physics 2017-09-13 Fabiola Arevalo , Antonella Cid , Jorge Moya

The possibility to unambiguously determine the equation-of-state of the cosmic dark energy with existing and future supernovae data is investigated. We consider four evolution laws for this equation-of-state corresponding to four…

Astrophysics · Physics 2011-05-05 Elisa Di Pietro , Jean-Francois Claeskens

We consider a model selection problem for structural equation modeling (SEM) with latent variables for diffusion processes based on high-frequency data. First, we propose the quasi-Akaike information criterion of the SEM and study the…

Statistics Theory · Mathematics 2024-02-15 Shogo Kusano , Masayuki Uchida

We consider a non-linear interaction between the dark matter and dark energy components of the universe. In particular, within the FLRW geometry, where dark matter is described by a dust fluid and dark energy by an ideal gas with a constant…

Cosmology and Nongalactic Astrophysics · Physics 2025-09-24 Marcel van der Westhuizen , David Figueruelo , Rethabile Thubisi , Shambel Sahlu , Amare Abebe , Andronikos Paliathanasis

We perform fits of unconventional dark energy models to the available data from high-redshift supernovae, distant galaxies and baryon oscillations. The models are based either on brane cosmologies or on Liouville strings in which a…

Astrophysics · Physics 2008-11-26 Nikolaos E. Mavromatos , Vasiliki A. Mitsou

We analyze the possibility to distinguish between quintessence and phantom scalar field models of dark energy using observations of luminosity distance moduli of SNe Ia, CMB anisotropies and polarization, matter density perturbations and…

Cosmology and Nongalactic Astrophysics · Physics 2013-07-01 B. Novosyadlyj , O. Sergijenko , R. Durrer , V. Pelykh

The measurements of baryon acoustic oscillation by the Dark Energy Spectroscopic Instrument Data Release 2 indicate that dark energy may be dynamical with a time-varying equation of state. This has challenged the core assumptions of the…

Cosmology and Nongalactic Astrophysics · Physics 2026-04-28 Peiyuan Xu , Lu Chen , Guohao Li , Yang Han

The recent astronomical measurements of distant supernovae as well as other observations indicate that our universe is presently accelerating. There are different proposals for the explanation of this acceleration, such as the cosmological…

Astrophysics · Physics 2008-11-26 Marek Szydlowski , Wlodzimierz Godlowski

The cosmic coincidence problem is a serious challenge to dark energy model. We suggest a quantitative criteria for judging the severity of the coincidence problem. Applying this criteria to three different interacting models, including the…

Cosmology and Nongalactic Astrophysics · Physics 2009-07-24 Hongsheng Zhang , Heng Yu , Zong-Hong Zhu , Yungui Gong

We use linear perturbation theory to study perturbations in dynamical dark energy models. We compare quintessence and tachyonic dark energy models with identical background evolution. We write the corresponding equations for different…

Cosmology and Nongalactic Astrophysics · Physics 2021-11-17 Manvendra Pratap Rajvanshi , Avinash Singh , H. K. Jassal , J. S. Bagla

Dark energy can be characterized by a canonical scalar field, known as quintessence. Quintessence allows for a dynamical equation of state $-1 \le \omega \le -\frac{1}{3}$. A previous study by Oikonomou and Chatzarakis have shown that a…

Cosmology and Nongalactic Astrophysics · Physics 2024-09-11 Sreerag Radhakrishnan , Sarath Nelleri , Navaneeth Poonthottathil

In this paper, we consider a couple of alternative dark energy models using the total equation of state of the cosmological fluid, $\wt$. These models are fit to the recent type-Ia supernovae data and are compared to previously considered…

Astrophysics · Physics 2007-05-23 William Komp

We perform a detailed analysis of a theoretically motivated dark energy quintessence model which interacts with the dark matter sector of the universe. Utilising the current observational datasets from the Cosmic Microwave Background,…

General Relativity and Quantum Cosmology · Physics 2025-09-12 Atul Ashutosh Samanta , Abhijith Ajith , Sukanta Panda

We perform a comparison of the WMAP measurements with the predictions of quintessence cosmological models of dark energy. We consider a wide range of quintessence models, including: a constant equation-of-state; a simply-parametrized,…

Astrophysics · Physics 2007-05-23 Michael Doran

The recent observations support that our universe is flat and expanding with acceleration. A quintessence model with a general relation between the quintessence potential and the quintessence kinetic energy was proposed to explain the…

Astrophysics · Physics 2009-11-10 Yungui Gong

We propose a new model selection method, the posterior averaging information criterion, for Bayesian model assessment from a predictive perspective. The theoretical foundation is built on the Kullback-Leibler divergence to quantify the…

Methodology · Statistics 2020-09-22 Shouhao Zhou