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Erasure-Resilient Property Testing [article]

Kashyap Dixit, Sofya Raskhodnikova, Abhradeep Thakurta, Nithin Varma
2016 arXiv   pre-print
Finally, we describe a property that can be epsilon-tested with O(1/epsilon) queries in the standard model, whereas testing it in the erasure-resilient model requires number of queries polynomial in the  ...  We design erasure-resilient property testers for a large class of properties. For some properties, it is possible to obtain erasure-resilient testers by using standard testers as a black box.  ...  The Erasure-Resilient Testing Model We formalize our erasure-resilient model for the case of property testing.  ... 
arXiv:1607.05786v1 fatcat:igeacd2eknaexoisdtzqnbo5ga

Erasure-Resilient Property Testing * †

Kashyap Dixit, Sofya Raskhodnikova, Abhradeep Thakurta, Nithin Varma
unpublished
Finally, we show a separation between the standard testing and erasure-resilient testing.  ...  We design erasure-resilient property testers for a large class of properties. For some properties, it is possible to obtain erasure-resilient testers by simply using standard testers as a black box.  ...  The Erasure-Resilient Testing Model We formalize our erasure-resilient model for the case of property testing.  ... 
fatcat:k6vroiusvzgjrimda2uzelbppm

Brief Announcement: Erasure-Resilience Versus Tolerance to Errors

Sofya Raskhodnikova, Nithin Varma, Michael Wagner
2018 International Colloquium on Automata, Languages and Programming  
We describe work in progress on providing a separation between erasure-resilient and tolerant property testing.  ...  Specifically, we are able to exhibit a property which is testable (with the number of queries independent of the length of the input) in the presence of erasures, but is not testable tolerantly.  ...  Erasure-resilient property testing falls between (standard) property testing and tolerant testing.  ... 
doi:10.4230/lipics.icalp.2018.111 dblp:conf/icalp/RaskhodnikovaV18 fatcat:lodxag3g7nbovhql23znj3mgw4

Erasure-Resilient Sublinear-Time Graph Algorithms [article]

Amit Levi, Ramesh Krishnan S. Pallavoor, Sofya Raskhodnikova, Nithin Varma
2020 arXiv   pre-print
Our erasure-resilient algorithm (for the special case with no erasures) is an improvement over the previously known algorithm for connectedness in the standard property testing model and has optimal dependence  ...  For testing connectedness, we discover a threshold phenomenon: when the fraction of erasures is less than ε, this property can be tested efficiently (in time independent of the size of the graph); when  ...  [DRTV18] gave results only on property testing in the erasure-resilient model.  ... 
arXiv:2011.14291v1 fatcat:vjcrjhjr6vblhkqt26os4l5hgq

Erasures vs. Errors in Local Decoding and Property Testing

Sofya Raskhodnikova, Noga Ron-Zewi, Nithin Varma, Michael Wagner
2018 Innovations in Theoretical Computer Science  
We initiate the study of the role of erasures in local decoding and use our understanding to prove a separation between erasure-resilient and tolerant property testing.  ...  Motivated by applications in property testing, we begin our investigation with local list decoding in the presence of erasures.  ...  Erasure-resilient property testing falls between (standard) property testing and tolerant testing.  ... 
doi:10.4230/lipics.itcs.2019.63 dblp:conf/innovations/RaskhodnikovaRV19 fatcat:bfbm2dpuvfcb5gi6ddl6gfrbdi

Sublinear-Time Computation in the Presence of Online Erasures [article]

Iden Kalemaj, Sofya Raskhodnikova, Nithin Varma
2021 arXiv   pre-print
Specifically, we focus on property testing in the model with online erasures.  ...  We show that two fundamental properties of functions, linearity and quadraticity, can be tested for constant t with asymptotically the same complexity as in the standard property testing model.  ...  Acknowledgements We are thankful to Kobbi Nissim for suggesting investigating settings with online adversarial erasures. We thank Noga Ron-Zewi for pointing out relevant references.  ... 
arXiv:2109.08745v1 fatcat:xt4kjwir7jflfblbsbds64mfri

Robust transmission of JPEG2000 codestreams over packet erasure channels

Zhenyu Wu, Ali Bilgin, Lingling Pu, Michael W. Marcellin, Sethuraman Panchanathan, Bhaskaran Vasudev
2004 Visual Communications and Image Processing 2004  
Error resilience functionalities provided by JPEG2000 are utilized to control the source coding efficiency and the robustness according to channel conditions.  ...  In this paper, a robust image transmission scheme based on JPEG2000 is proposed for packet erasure channels.  ...  In the worst case, for n erasures, the decoder must test 2 n cases.  ... 
doi:10.1117/12.526014 dblp:conf/vcip/WuBPM04 fatcat:365dmof5z5fr5gbtfxvq3jsi6q

Approximating the Distance to Monotonicity of Boolean Functions [article]

Ramesh Krishnan S. Pallavoor, Sofya Raskhodnikova, Erik Waingarten
2019 arXiv   pre-print
An α-erasure-resilient tester for a desired property gets oracle access to a function that has at most an α fraction of values erased.  ...  We obtain our lower bound by proving an analogous bound for erasure-resilient testers.  ...  Beyond the (standard) property testing, the questions of erasure-resilient and tolerant testing have also received some attention ( [29, 52] study the erasure-resilient model, and [40, 50, 34, 37, 2  ... 
arXiv:1911.06924v1 fatcat:f3w7mniyrjcddkhv6co4wiwqt4

Transmission of JPEG2000 codestreams over packet erasure channels

Ali Bilgin, Zhenyu Wu, Michael W. Marcellin, Bhaskaran Vasudev, T. Russell Hsing, Andrew G. Tescher, Touradj Ebrahimi
2003 Image and Video Communications and Processing 2003  
Error resilience functionalities provided by JPEG2000 are utilized to control the source coding efficiency and the robustness according to channel conditions.  ...  In this paper, a robust image transmission scheme based on JPEG2000 is proposed for packet erasure channels.  ...  In the worst case, for n erasures, the decoder must test 2 n cases.  ... 
doi:10.1117/12.476633 fatcat:hty7rqflwvaydlmmx7aby3kzwy

Hard Properties with (Very) Short PCPPs and Their Applications

Omri Ben-Eliezer, Eldar Fischer, Amit Levi, Ron D. Rothblum, Michael Wagner
2020 Innovations in Theoretical Computer Science  
a property that has a constant-query tester, but requires Ω(n/ log ( ) (n)) queries for every tolerant or erasure-resilient tester.  ...  As an immediate application, we obtain stronger separations between the standard testing model and both the tolerant testing model and the erasure-resilient testing model: for every fixed , we construct  ...  Erasure-Resilient Testing Another variant of the property testing model is the erasure-resilient testing model. This model was defined by Dixit et. al.  ... 
doi:10.4230/lipics.itcs.2020.9 dblp:conf/innovations/Ben-EliezerFLR20 fatcat:5dpgdossibgktdldiqfzmq5b5i

Hard properties with (very) short PCPPs and their applications [article]

Omri Ben-Eliezer, Eldar Fischer, Amit Levi, Ron D. Rothblum
2019 arXiv   pre-print
a property that has a constant-query tester, but requires Ω(n/log^(ℓ)(n)) queries for every tolerant or erasure-resilient tester.  ...  As an immediate application, we obtain stronger separations between the standard testing model and both the tolerant testing model and the erasure-resilient testing model: for every fixed ℓ, we construct  ...  Erasure-resilient Testing.  ... 
arXiv:1909.03255v2 fatcat:hfkyuaaeu5bjdhleu2w6bf2r7a

The CORE Storage Primitive: Cross-Object Redundancy for Efficient Data Repair & Access in Erasure Coded Storage [article]

Kyumars Sheykh Esmaili, Lluis Pamies-Juarez, Anwitaman Datta
2013 arXiv   pre-print
However, traditional erasure codes are inefficient on reading stored data in degraded environments (when nodes might be unavailable), and on replenishing lost data (vital for long term resilience).  ...  Erasure codes are an integral part of many distributed storage systems aimed at Big Data, since they provide high fault-tolerance for low overheads.  ...  The implementation is meticulously tested and benchmarked in a proprietary cluster as well as on EC2.  ... 
arXiv:1302.5192v4 fatcat:rwljkazcc5azfi7khqpsy7vc5i

Robust image watermarking based on multiple description vector quantisation

J.-S. Pan, Y.-C. Hsin, H.-C. Huang, K.-C. Huang
2004 Electronics Letters  
It embeds secret information into digital contents to protect intellectual properties.  ...  In Table 1 , PSNR and BER values under different erasure probabilities are indicated. PSNR values in Table 1 show error-resilient capabilities with MDVQ under severely erased channels.  ... 
doi:10.1049/el:20046454 fatcat:qb3u555sdnekhettk7zse7fmse

H.264 video streaming with data-partitioning and Growth codes

R. Razavi, M. Fleury, M. Altaf, H. Sammak, M. Ghanbari
2009 2009 16th IEEE International Conference on Image Processing (ICIP)  
The bitrate overhead from data-partitioning is also shown to be less than from other H.264 error resilient tools.  ...  When combined with increased protection of video reference frames, in an ADSL erasure channel up to 10 dB in video quality (PSNR) can be gained through this scheme compared to equal error protection with  ...  An (n, k) RS erasure code over an alphabet q=2 L (where L is the number of source symbols) has the property that if any k out of n symbols transmitted are received successfully then the original k symbols  ... 
doi:10.1109/icip.2009.5414052 dblp:conf/icip/RazaviFASG09 fatcat:3h26ia4y5ngztj7wczporis5km

The Free Energy of a General Computation [article]

Ämin Baumeler, Stefan Wolf
2019 arXiv   pre-print
We link this view to previous formulations of the second law, and we argue that it has a particular feature that suggests its "logico-informational" nature, namely simulation resilience: If a computation  ...  Starting from Landauer's slogan "information is physical," we revise and modify Landauer's principle stating that the erasure of information has a minimal price in the form of a certain quantity of free  ...  Hand in hand with this comes the property of simulation resilience.  ... 
arXiv:1901.10290v1 fatcat:5vneb2x2lnewhnnjmt4xox62pe
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