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This paper analyzes the joint Rate Distortion Function (RDF) of correlated multivariate Gaussian sources with individual square-error distortions. Leveraging Hotelling's canonical variable form, presented is a closed-form characterization…

信息论 · 计算机科学 2025-08-25 Evagoras Stylianou , Charalambos D. Charalambous , Themistoklis Charalambous

The "water-filling" solution for the quadratic rate-distortion function of a stationary Gaussian source is given in terms of its power spectrum. This formula naturally lends itself to a frequency domain "test-channel" realization. We…

信息论 · 计算机科学 2008-02-18 Ram Zamir , Yuval Kochman , Uri Erez

We prove achievability of the recently characterized quadratic Gaussian rate-distortion function (RDF) subject to the constraint that the distortion is uncorrelated to the source. This result is based on shaped dithered lattice quantization…

信息论 · 计算机科学 2008-07-24 Milan S. Derpich , Jan Ostergaard , Daniel E. Quevedo

In this paper we analyze the joint rate distortion function (RDF), for a tuple of correlated sources taking values in abstract alphabet spaces (i.e., continuous) subject to two individual distortion criteria. First, we derive structural…

信息论 · 计算机科学 2021-05-11 Evagoras Stylianou , Charalambos D. Charalambous , Themistoklis Charalambous

In this paper, we analyze the indirect source coding problem with side information at both the encoder and decoder, as well as only at the decoder. We first derive structural properties of the two rate distortion functions (RDFs) for…

信息论 · 计算机科学 2024-10-14 Evagoras Stylianou , Michail Gkagkos , Charalambos D. Charalambous

We revisit the sequential rate-distortion (SRD) trade-off problem for vector-valued Gauss-Markov sources with mean-squared error distortion constraints. We show via a counterexample that the dynamic reverse water-filling algorithm suggested…

最优化与控制 · 数学 2017-11-28 Photios A. Stavrou , Takashi Tanaka , Sekhar Tatikonda

We improve the existing achievable rate regions for causal and for zero-delay source coding of stationary Gaussian sources under an average mean squared error (MSE) distortion measure. To begin with, we find a closed-form expression for the…

信息论 · 计算机科学 2011-05-03 Milan S. Derpich , Jan Østergaard

The multiple description (MD) problem has received considerable attention as a model of information transmission over unreliable channels. A general framework for designing efficient multiple description quantization schemes is proposed in…

信息论 · 计算机科学 2016-11-18 Jun Chen , Chao Tian , Toby Berger , Sheila Hemami

A general expression for the distortion rate function (DRF) of cyclostationary Gaussian processes in terms of their spectral properties is derived. This expression can be seen as the result of orthogonalization over the different components…

信息论 · 计算机科学 2016-08-11 Alon Kipnis , Andrea J. Goldsmith , Yonina C. Eldar

The phase structure of two-color QCD is examined as a function of the chemical potential and the number of light quark flavors. We consider effective Lagrangians for two-color QCD containing the Goldstone excitations, spin-one particles and…

高能物理 - 唯象学 · 物理学 2009-11-07 J. T. Lenaghan , F. Sannino , K. Splittorff

In this paper, we consider a distributed remote source coding problem, where a sequence of observations of source vectors is available at the encoder. The problem is to specify the optimal rate for encoding the observations subject to a…

信息论 · 计算机科学 2014-06-05 Adel Zahedi , Jan Ostergaard , Soren Holdt Jensen , Patrick Naylor , Soren Bech

We study the phase diagram for two-color QCD in three-dimensional spacetime, as a function of temperature and baryon chemical potential, using the low-energy effective Lagrangian approach. We show one-loop renormalizability at zero…

高能物理 - 唯象学 · 物理学 2010-04-05 Gerald V. Dunne , Shinsuke M. Nishigaki

We present a comprehensive study of the two-flavor Quark--Meson--Diquark (QMD) model by comparing a renormalization approach with a renormalization-group (RG) consistent mean-field formulation based on the functional renormalization group…

高能物理 - 唯象学 · 物理学 2025-07-29 Hosein Gholami , Lennart Kurth , Ugo Mire , Michael Buballa , Bernd-Jochen Schaefer

We discuss the properties of the two- and three-flavor quark-meson diquark (QMD) model as a renormalizable low-energy effective model for color superconductivity in dense QCD. The effective degrees of freedom are scalars, pseudo-scalars,…

高能物理 - 唯象学 · 物理学 2025-06-24 Jens O. Andersen , Mathias P. Nødtvedt

The rate-distortion function (RDF) has long been an information-theoretic benchmark for data compression. As its natural extension, the indirect rate-distortion function (iRDF) corresponds to the scenario where the encoder can only access…

信息论 · 计算机科学 2025-03-11 Zichao Yu , Qiang Sun , Wenyi Zhang

In this paper the symmetry properties of the phase diagram of dense quark matter composed of $u$ and $d$ quarks with two or three colors has been investigated in the framework of massless (3+1)-dimensional Nambu--Jona-Lasinio (NJL) and QCD…

高能物理 - 唯象学 · 物理学 2024-12-30 T. G. Khunjua , K. G. Klimenko , R. N. Zhokhov

We consider multiple description coding for the Gaussian source with K descriptions under the symmetric mean squared error distortion constraints, and provide an approximate characterization of the rate region. We show that the rate region…

信息论 · 计算机科学 2016-11-15 Chao Tian , Soheil Mohajer , Suhas N. Diggavi

We study the rate-distortion function (RDF) for the lossy compression of discrete-time (DT) wide-sense almost cyclostationary (WSACS) Gaussian processes with memory, arising from sampling continuous-time (CT) wide-sense cyclostationary…

信息论 · 计算机科学 2025-07-02 Zikun Tan , Ron Dabora , H. Vincent Poor

In this paper, we study the computation of the rate-distortion-perception function (RDPF) for a multivariate Gaussian source under mean squared error (MSE) distortion and, respectively, Kullback-Leibler divergence, geometric Jensen-Shannon…

信息论 · 计算机科学 2023-11-16 Giuseppe Serra , Photios A. Stavrou , Marios Kountouris

We present a study of how to integrate color (RGB) and multi-spectral imagery (red, green, red-edge, and near-infrared) into the 3D Gaussian Splatting (3DGS) framework, a state-of-the-art explicit radiance-field-based method for fast and…

计算机视觉与模式识别 · 计算机科学 2025-09-03 Josef Grün , Lukas Meyer , Maximilian Weiherer , Bernhard Egger , Marc Stamminger , Linus Franke
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