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Locality in Crisscross Error Correction [article]

Hedongliang Liu, Lukas Holzbaur, Antonia Wachter-Zeh
2018 arXiv   pre-print
The cover metric is suitable for describing the resilience against correlated errors in arrays, in particular crisscross errors, which makes it interesting for applications such as distributed data storage  ...  In this work, we consider codes designed for the cover metric that have locality, that means lost symbols can be recovered by using only a few other (local) symbols.  ...  Such an error model is referred as crisscross errors [9] , [10] . The characteristic of error models can be measured in different metrics.  ... 
arXiv:1806.07496v2 fatcat:a2s6icaf5bgvhbchrykm4r7sdi

Codes with Locality in the Rank and Subspace Metrics [article]

Swanand Kadhe, Salim El Rouayheb, Iwan Duursma, Alex Sprintson
2019 arXiv   pre-print
Specifically, the proposed local rank-metric codes can recover locally from 'crisscross errors and erasures', which affect a limited number of rows and/or columns of the storage system.  ...  We extend the notion of locality from the Hamming metric to the rank and subspace metrics. Our main contribution is to construct a class of array codes with locality constraints in the rank metric.  ...  Roth [12] introduced the notion of crisscross error pattern, and showed that MRD codes are powerful in correcting such error patterns.  ... 
arXiv:1707.05944v3 fatcat:bkrttyc5grfrxj6m6mmxvbjuqm

Multilayer crisscross error and erasure correction [article]

Umberto Martínez-Peñas
2022 arXiv   pre-print
In this work, multilayer crisscross error and erasures are considered, which affect entire rows and columns in the matrices of a list of matrices.  ...  To measure such errors and erasures, the multi-cover metric is introduced.  ...  Codes with local crisscross erasure correcting properties were studied in [11, 13] .  ... 
arXiv:2203.07238v1 fatcat:hn2ovcn6tngmrl2sfqlk2q663i

Parallel Calculation Method of Patch Area Landscape Art Index Based on Surface Coverage Data

Zhihua Xu, Jian Su
2021 Security and Communication Networks  
The experimental results show that the complete convergence time of the horizontal axis error and the vertical axis error is 2.13 s and 1.81 s, respectively, and the absolute error and relative error of  ...  The feature points of the patch area in the aerial landscape image are calculated by the parallel computing process, and the patch boundary in the aerial landscape image is determined.  ...  Deviation Correction.  ... 
doi:10.1155/2021/9149734 fatcat:xswaljrbcreudljwiwt5s67t7a

A model study of element residual estimators for linear elliptic problems: The quality of the estimators in the interior of meshes of triangles and quadrilaterals

I. Babuška, T. Strouboulis, C.S. Upadhyay, S.K. Gangaraj
1995 Computers & structures  
In this paper we investigate further the quality of element-residual error estimators.  ...  Engng 37, 1073-l 123 (1994) ) we presented a model study of (1 posteriori error estimators in the interior of finite element meshes using a computer-based methodology.  ...  In most cases, by letting k = 3 we obtain element error indicators which are practically the same as the indicators corresponding to the exact solutions of the local problems.  ... 
doi:10.1016/0045-7949(95)00075-r fatcat:errwoumehna3da77xpfwvbqtju

Page 581 of Engineering and Mining Journal Vol. 107, Issue 13 [page]

1919 Engineering and Mining Journal  
Experiments, however, in which more or less variation from these conditions were allowed, indicated that no serious errors resulted.  ...  When so used the orifice bucket gives results which should be correct within 5% if the proper precautions are observed in its use, as is shown by the calibration curves, and correct within 10% for the  ... 

Rank-Metric Codes and Their Applications

Hannes Bartz, Lukas Holzbaur, Hedongliang Liu, Sven Puchinger, Julian Renner, Antonia Wachter-Zeh
2022 Foundations and Trends in Communications and Information Theory  
In distributed data storage, codes in the rank metric have been used repeatedly to construct codes with locality, and in coded caching, they have been employed for the placement of coded symbols.  ...  In code-based cryptography, the hardness of the corresponding generic decoding problem can lead to systems with reduced public-key size.  ...  Independently of the previous work, Roth [241] discovered in 1991 codes in the rank metric and applied them for correcting crisscross error patterns.  ... 
doi:10.1561/0100000119 fatcat:4wh62agk5rczpjlfr5bp3km67u

A surface code quantum computer in silicon

C. D. Hill, E. Peretz, S. J. Hile, M. G. House, M. Fuechsle, S. Rogge, M. Y. Simmons, L. C. L. Hollenberg
2015 Science Advances  
quantum error correction are carried out by global spin control.  ...  However, the high threshold of topological quantum error correction can only be captured in a two-dimensional array of qubits operating synchronously and in parallel-posing formidable fabrication and control  ...  In the PM activation protocol, B-field inhomogeneities do not contribute to the phase error to first order-local variations in the hyperfine constant, A, are the main source of error.  ... 
doi:10.1126/sciadv.1500707 pmid:26601310 pmcid:PMC4646824 fatcat:d3laq6nyxrgcjbqprl3bvmsoaa

Anchor: trans-cell type prediction of transcription factor binding sites

Hongyang Li, Daniel Quang, Yuanfang Guan
2018 Genome Research  
In this study, we describe our first place solution to the 2017 ENCODE-DREAM in vivo TF binding site prediction challenge.  ...  Many pioneering efforts have been made to predict TF binding profiles based on DNA sequence and DNase-seq footprints, but to what extent a model can be generalized in completely unseen cell conditions  ...  When we add the Δ 3M-DNase features to correct the local biases, the performance is improved in terms of both AUROC and AUPRC.  ... 
doi:10.1101/gr.237156.118 fatcat:mgpwtsbkgzhbjadeug55zlgfh4

Criss-Cross Insertion and Deletion Correcting Codes [article]

Rawad Bitar, Lorenz Welter, Ilia Smagloy, Antonia Wachter-Zeh, Eitan Yaakobi
2021 arXiv   pre-print
This paper studies the problem of constructing codes correcting deletions in arrays. Under this model, it is assumed that an n× n array can experience deletions of rows and columns.  ...  These deletion errors are referred to as (t_r,t_c)-criss-cross deletions if t_r rows and t_c columns are deleted, while a code correcting these deletion patterns is called a (t_r,t_c)-criss-cross deletion  ...  However, our (t)-criss-cross deletion-correcting code construction can correct a mixed (1)-criss-cross error defined as a row/column deletion and a column/row insertion.  ... 
arXiv:2004.14740v5 fatcat:lpusipc2vfhodexpmfzqx74ycy

Page 666 of SMPTE Motion Imaging Journal Vol. 92, Issue 6 [page]

1983 SMPTE Motion Imaging Journal  
Alas, the glass building source-image appears crisscrossed with a coarse diagonal pattern at all but the lightest of gray levels in sky, windows, and automobiles; the window parti- tions have lost their  ...  A correction is made that involves an equivalent modifica- tion of the source-image pel intensities and use of the thresholds obtained be- fore compression.  ... 

Advances in Diplog® Data Processing for Stratigraphic Analysis

C. Carter Waid, Dresser Atlas, Dresser Industries, Inc., Houston, Texas, U.S.A., S.B. Easton, G.S. Weissmann
1988 Bulletin of the Geological Society of Malaysia  
generation product which is described in this paper.  ...  Numerous improvements in the computational algorithms coupled with features such as the removal of the effects of structural dip and intelligent handling of floating pad data have resulted in a second  ...  After calibration, stratigraphic dip analysis can be used in place of a core in offset wells for local stratigraphic information.  ... 
doi:10.7186/bgsm22198805 fatcat:n73lsm5zyzfotcfjk32h2fbryy

Using crowdsourced satellite SNR measurements for 3D mapping and real-time GNSS positioning improvement

Andrew T. Irish, Daniel Iland, Jason T. Isaacs, João P. Hespanha, Elizabeth M. Belding, Upamanyu Madhow
2014 Proceedings of the 6th annual workshop on Wireless of the students, by the students, for the students - S3 '14  
Second, in a sort of reverse process called Shadow Matching, SNR readings from a particular device at an instant in time can be compared to 3D maps to provide real-time localization improvement.  ...  However, urban NLOS signal reception can be exploited in two ways.  ...  Figure 4 : 4 Positioning improvement at UCSB: true path in yellow, standalone GNSS output in red, and corrected path in light blue.  ... 
doi:10.1145/2645884.2645890 dblp:conf/mobicom/IrishIIHBM14a fatcat:khio63ph4jccxh4r7vpdovv2rq

H.M.'s personal crossword puzzles: Understanding memory and language

Brian G. Skotko, David C. Rubin, Larry A. Tupler
2008 Memory  
He exhibited few spelling errors, responded with appropriate parts of speech, and provided answers that were, at times, more convincing to observers than those supplied by the answer keys.  ...  Thus we use only the clearest cases for analysis: errors as opposed to correct responses and only errors that are not influenced by another error. Our measures give a conservative estimate of H.M.'  ...  We purposely ignored all of his correct responses and instead coded three types of error: (1) misspellings, (2) alternative responses (instances in which his response differed from that of the answer key  ... 
doi:10.1080/09658210701864580 pmid:18286414 pmcid:PMC3045671 fatcat:savpvrdn25g6nl2jn43nppiicq

Microarcsecond Astrometry with MCAO Using a Diffractive Mask

S. Mark Ammons, Eduardo A. Bendek, Olivier Guyon, Bruce Macintosh, Dmitry Savransky
2012 Proceedings of the International Astronomical Union  
A diffractive 8-meter telescope with diffraction-limited MCAO in K-band reaches < 3 − 5 μas relative astrometric error per coordinate perpendicular to the zenith vector in one hour on a bright target star  ...  in fields of moderate stellar density (∼ 10 − 40 stars arcmin −2 ).  ...  and the distribution of dark matter within our Galaxy and in local dwarf galaxies (Majewski et al. 2009 ).  ... 
doi:10.1017/s1743921313013173 fatcat:fjupbthngranbdfivkqycav3wy
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