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This paper has been withdrawn due to an error in one of the equations in the extended portion.

Information Theory · Computer Science 2010-06-09 Sanjay Karmakar , Mahesh K. Varanasi

An improved (streamlined and extended) version of this paper is available as math.RA/0203010, which however omits some details. We recommend the later version unless details are essential.

Rings and Algebras · Mathematics 2007-05-23 C. H. Barton , A. Sudbery

Light-pair corrections to small-angle Bhabha scattering have been computed in a realistic set-up for luminosity measurements at LEP. The effect of acollinearity and acoplanarity rejection criteria has been carefully analysed for typical…

High Energy Physics - Phenomenology · Physics 2009-10-31 G. Montagna , M. Moretti , O. Nicrosini , A. Pallavicini , F. Piccinini

The paper has been withdrawn due to numerical error.

High Energy Physics - Phenomenology · Physics 2016-09-06 S. Arunagiri

Most statistical software packages implement numerical strategies for computation of maximum likelihood estimates in random effects models. Little is known, however, about the algebraic complexity of this problem. For the one-way layout…

Statistics Theory · Mathematics 2013-05-07 Elizabeth Gross , Mathias Drton , Sonja Petrović

This paper develops a bias correction scheme for a multivariate heteroskedastic errors-in-variables model. The applicability of this model is justified in areas such as astrophysics, epidemiology and analytical chemistry, where the…

Methodology · Statistics 2015-08-27 Alexandre G. Patriota , Artur J. Lemonte , Heleno Bolfarine

There is a serious flaw in the proposal [arXiv:1603.06857] for the achievement of unity efficiency in SPDC. This is a replacement due to mistakes in the table of probabilities. Numbers have been corrected.

Quantum Physics · Physics 2017-08-02 M. K. Olsen

This note corrects some omissions in section 2 of the paper "Lipschitz connectivity and filling invariants in solvable groups and buildings."

Geometric Topology · Mathematics 2016-09-21 Robert Young

We will describe radiative corrections to bremsstrahlung, focusing on applications to luminosity, fermion pair production, and radiative return at high-energy e+ e- colliders. A precise calculation of the Bhabha luminosity process was…

High Energy Physics - Phenomenology · Physics 2007-05-23 S. A. Yost , S. Majhi , B. F. L. Ward

Variational approaches to disparity estimation typically use a linearised brightness constancy constraint, which only applies in smooth regions and over small distances. Accordingly, current variational approaches rely on a schedule to…

Image and Video Processing · Electrical Eng. & Systems 2024-05-28 James L. Gray , Aous T. Naman , David S. Taubman

The position estimation problem based on received power measurements is investigated for visible light systems in the presence of luminous flux degradation of light emitting diodes (LEDs). When the receiver is unaware of this degradation…

Information Theory · Computer Science 2023-12-14 Issifu Iddrisu , Sinan Gezici

This note points out an apparent error in the publication Phys.~Lett.~B {\bf 809} (2020) 135771 by Magdy, Nie, Ma, and Lacey.

Nuclear Experiment · Physics 2020-09-22 Yicheng Feng , Fuqiang Wang , Jie Zhao

We fix a gap in the proof of a result in our earlier paper arXiv:1908.09548

Functional Analysis · Mathematics 2020-04-29 F. Sukochev , K. Tulenov , D. Zanin

We study deviations from tri-bimaximality (TBM) and quark-lepton complementarity (QLC) in a model independent way. The current neutrino experimental data is well approximated by tri-bimaximal generation mixing but the QLC relations are not…

High Energy Physics - Phenomenology · Physics 2011-05-03 Yusuke Shimizu , Ryo Takahashi

Two typos in the published paper are pointed out. Both are just typos and the calculations in that paper are based on the correct formulism.

Condensed Matter · Physics 2007-05-23 M. W. Wu

In this paper, we consider the dual formulation of minimizing $\sum_{i\in I}f_i(x_i)+\sum_{j\in J} g_j(\mathcal{A}_jx)$ with the index sets $I$ and $J$ being large. To address the difficulties from the high dimension of the variable $x$…

Optimization and Control · Mathematics 2020-09-03 Hui Zhang , Yu-Hong Dai , Lei Guo

It is well-known that accelerated gradient first order methods possess optimal complexity estimates for the class of convex smooth minimization problems. In many practical situations, it makes sense to work with inexact gradients. However,…

Optimization and Control · Mathematics 2024-07-02 Ilya Kuruzov , Fedor Stonyakin

The computational complexity of the Maximum Likelihood decoding algorithm in [1], [2] for orthogonal space-time block codes is smaller than specified.

Information Theory · Computer Science 2009-08-08 Ender Ayanoglu

This is an erratum to the article: "Computation of maximal projection constants" (J. Funct. Anal., 277). The statement of Lemma 3.1(2) of that paper is incorrect. As a consequence of this the proof of Theorem 1.4 is incomplete. In this…

Functional Analysis · Mathematics 2024-06-27 Giuliano Basso

We point out a few pitfalls in implementing gradient estimation for KL divergence in RL training for LLM, as seen in a number of open source projects and papers. The first major pitfall is to differentiate through the KL estimate as loss…

Machine Learning · Computer Science 2025-06-12 Yunhao Tang , Rémi Munos