ICDAR 2019 Competition on Post-OCR Text Correction

The epochs of reheating and preheating are studied in a simple extension of the Starobinsky inflationary model, which consists of an [Formula: see text]-correction to the Einstein–Hilbert action and an additional scalar field. We find that if the [Formula: see text]-correction at the end of inflation is dynamically important, it affects the expansion rate and as a consequence, the reheating and preheating processes. While we find that the reheating temperature and duration of reheating are only slightly affected, the effect has to be taken into account when comparing the theory to data. In the case of preheating, the gravitational corrections can significantly affect the decay of the second field. We find that particle production is strongly affected for certain values of the parameters in the theory.

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Image and text correction using language models

2017 1st International Workshop on Arabic Script Analysis and Recognition (ASAR) ◽

10.1109/asar.2017.8067779 ◽

2017 ◽

Cited By ~ 1

Author(s):

Ido Kissos ◽

Nachum Dershowitz

Keyword(s):

Language Models ◽

Text Correction

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Computation of residual statics using projectors

Geophysics ◽

10.1190/1.1442018 ◽

1985 ◽

Vol 50 (9) ◽

pp. 1502-1504 ◽

Cited By ~ 1

Author(s):

Koraljka Čaklović ◽

Lavoslav Čaklović

Keyword(s):

System Of Equations ◽

Unknown Parameters ◽

Linear System Of Equations ◽

Common Depth Point ◽

Reference Trace ◽

Position Index ◽

Static Corrections ◽

The Common ◽

System 1 ◽

Text Correction

The residual statics problem, as we know, is treated as the solution of one linear system of equations. If we assume that the static corrections are “surface consistent,” then we know that time shifts of each trace can be written as the sum of three terms [Formula: see text] where i = 1, …, [Formula: see text] is the shot position index with [Formula: see text] the number of shot positions, j = 1, …, [Formula: see text] is the receiver position index with [Formula: see text] the number of receiver positions, k = 1, …, [Formula: see text] is the common‐depth‐point (CDP) position index with [Formula: see text] the number of common depth points, [Formula: see text] = correction for ith shot position, [Formula: see text] = correction for jth receiver position, and [Formula: see text] = correction for each trace in the kth CDP gather. For every pair (i, j) we have one equation. We write system (1) in matrix form as [Formula: see text] where [Formula: see text] is the vector of unknown parameters; and [Formula: see text] is the vector which consists of the time shifts obtained by crosscorrelation of each trace in CDP gather with the corresponding reference trace.

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