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The choice of the kernel is critical to the success of many learning algorithms but it is typically left to the user. Instead, the training data can be used to learn the kernel by selecting it out of a given family, such as that of…

Machine Learning · Computer Science 2012-05-14 Corinna Cortes , Mehryar Mohri , Afshin Rostamizadeh

This paper has been withdrawn by the author, due an error in computing the invariance of the so(4,1) and so(3,2) "inner product."

High Energy Physics - Theory · Physics 2007-05-23 Kelly C. Davis

This work presents study on regularized and non-regularized versions of perceptron learning and least squares algorithms for classification problems. Fr'echet derivatives for regularized least squares and perceptron learning algorithms are…

Numerical Analysis · Mathematics 2020-09-23 L. Beilina

This paper has been withdrawn by the author due to a crucial sign error in equation 1.

Quantum Physics · Physics 2009-09-29 Toshifumi Itakura

The paper was done as an assigned Princeton university project. It is being withdrawn since it needs to be changed and updated substantially.

Disordered Systems and Neural Networks · Physics 2011-02-15 Fariel Shafee

This paper has been withdrawn by the author, due to errors in the figures.

High Energy Physics - Phenomenology · Physics 2010-03-17 Shao-Hsuan Chiu

The problem of numerical differentiation can be thought of as an inverse problem by considering it as solving a Volterra equation. It is well known that such inverse integral problems are ill-posed and one requires regularization methods to…

Numerical Analysis · Mathematics 2020-04-15 Abinash Nayak

Let $\phi$ be a nontrivial function of $L^1(\RR)$. For each $s\geq 0$ we put \begin{eqnarray*} p(s)=-\log \int_{|t|\geq s}|\phi (t)|dt. \end{eqnarray*} If $\phi$ satisfies \begin{equation} \lim_{s\to \infty}\frac{p(s)}{s}=\infty…

Numerical Analysis · Mathematics 2007-06-30 Dang Duc Trong , Truong Trung Tuyen

This paper has been withdrawn by the authors due to a crucial error.

Chaotic Dynamics · Physics 2007-09-16 A. Iomin , G. M. Zaslavsky

This paper has been withdrawn by the authors due to numerical problems to get viable results.

Astrophysics · Physics 2010-11-17 Stephane Fay , Reza Tavakol

This paper was withdrawn by the authors.

Other Condensed Matter · Physics 2007-06-28 S. Paganelli , S. Ciuchi

This paper has been withdrawn at the author's request.

Statistics Theory · Mathematics 2008-02-19 Narges Abbasi

This paper has been withdrawn by the author due to a crucial sign error in equation 2 and some mistake in Table 1 information. please let me for changing this information and updating this paper.

Computer Vision and Pattern Recognition · Computer Science 2014-08-15 Reza Azad , Fatemeh Davami , Hamid Reza Shayegh

This paper has been withdrawn by the author, due a crucial mistake in proof of lemma 4.2.

Symplectic Geometry · Mathematics 2009-01-04 Eaman Eftekhary

This paper has been withdrawn by the author.

Computation and Language · Computer Science 2015-03-14 Juan-Manuel Torres Moreno , Silvia Fernandez , Eric SanJuan

This paper has been withdrawn by the author due to extremely unscientific errors.

Artificial Intelligence · Computer Science 2013-10-24 Konstantin P. Wishnevsky

Major mistake. The paper has been withdrawn.

Number Theory · Mathematics 2010-10-05 Nicolas Billerey

This paper has been withdrawn by the author(s), due a crucial error on the entanglement of $\Gamma$ registers.

Quantum Physics · Physics 2008-01-19 Wenxu Xu , Minghong Liao

This paper has been withdrawn, not because of any errors (that we know of), but because rather than presenting our material as a series of 3 papers, as we originally intended, we have now combined them into one long paper, which is "A…

Algebraic Geometry · Mathematics 2009-06-02 Dominic Joyce , Yinan Song
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