Coding with Asymmetric Numeral Systems (Long Version)
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Third Party Software Component List: Targeted Use: Briefcam® Fulfillment of License Obligation for All Open Sources: Yes
Third Party Software Component List: Targeted use: BriefCam® Fulfillment of license obligation for all open sources: Yes Name Link and Copyright Notices Where Available License Type OpenCV https://opencv.org/license.html 3-Clause Copyright (C) 2000-2019, Intel Corporation, all BSD rights reserved. Copyright (C) 2009-2011, Willow Garage Inc., all rights reserved. Copyright (C) 2009-2016, NVIDIA Corporation, all rights reserved. Copyright (C) 2010-2013, Advanced Micro Devices, Inc., all rights reserved. Copyright (C) 2015-2016, OpenCV Foundation, all rights reserved. Copyright (C) 2015-2016, Itseez Inc., all rights reserved. Apache Logging http://logging.apache.org/log4cxx/license.html Apache Copyright © 1999-2012 Apache Software Foundation License V2 Google Test https://github.com/abseil/googletest/blob/master/google BSD* test/LICENSE Copyright 2008, Google Inc. SAML 2.0 component for https://github.com/jitbit/AspNetSaml/blob/master/LICEN MIT ASP.NET SE Copyright 2018 Jitbit LP Nvidia Video Codec https://github.com/lu-zero/nvidia-video- MIT codec/blob/master/LICENSE Copyright (c) 2016 NVIDIA Corporation FFMpeg 4 https://www.ffmpeg.org/legal.html LesserGPL FFmpeg is a trademark of Fabrice Bellard, originator v2.1 of the FFmpeg project 7zip.exe https://www.7-zip.org/license.txt LesserGPL 7-Zip Copyright (C) 1999-2019 Igor Pavlov v2.1/3- Clause BSD Infralution.Localization.Wp http://www.codeproject.com/info/cpol10.aspx CPOL f Copyright (C) 2018 Infralution Pty Ltd directShowlib .net https://github.com/pauldotknopf/DirectShow.NET/blob/ LesserGPL -
ROOT I/O Compression Improvements for HEP Analysis
EPJ Web of Conferences 245, 02017 (2020) https://doi.org/10.1051/epjconf/202024502017 CHEP 2019 ROOT I/O compression improvements for HEP analysis Oksana Shadura1;∗ Brian Paul Bockelman2;∗∗ Philippe Canal3;∗∗∗ Danilo Piparo4;∗∗∗∗ and Zhe Zhang1;y 1University of Nebraska-Lincoln, 1400 R St, Lincoln, NE 68588, United States 2Morgridge Institute for Research, 330 N Orchard St, Madison, WI 53715, United States 3Fermilab, Kirk Road and Pine St, Batavia, IL 60510, United States 4CERN, Meyrin 1211, Geneve, Switzerland Abstract. We overview recent changes in the ROOT I/O system, enhancing it by improving its performance and interaction with other data analysis ecosys- tems. Both the newly introduced compression algorithms, the much faster bulk I/O data path, and a few additional techniques have the potential to significantly improve experiment’s software performance. The need for efficient lossless data compression has grown significantly as the amount of HEP data collected, transmitted, and stored has dramatically in- creased over the last couple of years. While compression reduces storage space and, potentially, I/O bandwidth usage, it should not be applied blindly, because there are significant trade-offs between the increased CPU cost for reading and writing files and the reduces storage space. 1 Introduction In the past years, Large Hadron Collider (LHC) experiments are managing about an exabyte of storage for analysis purposes, approximately half of which is stored on tape storages for archival purposes, and half is used for traditional disk storage. Meanwhile for High Lumi- nosity Large Hadron Collider (HL-LHC) storage requirements per year are expected to be increased by a factor of 10 [1]. -
Arxiv:2004.10531V1 [Cs.OH] 8 Apr 2020
ROOT I/O compression improvements for HEP analysis Oksana Shadura1;∗ Brian Paul Bockelman2;∗∗ Philippe Canal3;∗∗∗ Danilo Piparo4;∗∗∗∗ and Zhe Zhang1;y 1University of Nebraska-Lincoln, 1400 R St, Lincoln, NE 68588, United States 2Morgridge Institute for Research, 330 N Orchard St, Madison, WI 53715, United States 3Fermilab, Kirk Road and Pine St, Batavia, IL 60510, United States 4CERN, Meyrin 1211, Geneve, Switzerland Abstract. We overview recent changes in the ROOT I/O system, increasing per- formance and enhancing it and improving its interaction with other data analy- sis ecosystems. Both the newly introduced compression algorithms, the much faster bulk I/O data path, and a few additional techniques have the potential to significantly to improve experiment’s software performance. The need for efficient lossless data compression has grown significantly as the amount of HEP data collected, transmitted, and stored has dramatically in- creased during the LHC era. While compression reduces storage space and, potentially, I/O bandwidth usage, it should not be applied blindly: there are sig- nificant trade-offs between the increased CPU cost for reading and writing files and the reduce storage space. 1 Introduction In the past years LHC experiments are commissioned and now manages about an exabyte of storage for analysis purposes, approximately half of which is used for archival purposes, and half is used for traditional disk storage. Meanwhile for HL-LHC storage requirements per year are expected to be increased by factor 10 [1]. arXiv:2004.10531v1 [cs.OH] 8 Apr 2020 Looking at these predictions, we would like to state that storage will remain one of the major cost drivers and at the same time the bottlenecks for HEP computing. -
Arithmetic Coding
Arithmetic Coding Arithmetic coding is the most efficient method to code symbols according to the probability of their occurrence. The average code length corresponds exactly to the possible minimum given by information theory. Deviations which are caused by the bit-resolution of binary code trees do not exist. In contrast to a binary Huffman code tree the arithmetic coding offers a clearly better compression rate. Its implementation is more complex on the other hand. In arithmetic coding, a message is encoded as a real number in an interval from one to zero. Arithmetic coding typically has a better compression ratio than Huffman coding, as it produces a single symbol rather than several separate codewords. Arithmetic coding differs from other forms of entropy encoding such as Huffman coding in that rather than separating the input into component symbols and replacing each with a code, arithmetic coding encodes the entire message into a single number, a fraction n where (0.0 ≤ n < 1.0) Arithmetic coding is a lossless coding technique. There are a few disadvantages of arithmetic coding. One is that the whole codeword must be received to start decoding the symbols, and if there is a corrupt bit in the codeword, the entire message could become corrupt. Another is that there is a limit to the precision of the number which can be encoded, thus limiting the number of symbols to encode within a codeword. There also exist many patents upon arithmetic coding, so the use of some of the algorithms also call upon royalty fees. Arithmetic coding is part of the JPEG data format. -
Information Theory Revision (Source)
ELEC3203 Digital Coding and Transmission – Overview & Information Theory S Chen Information Theory Revision (Source) {S(k)} {b i } • Digital source is defined by digital source source coding 1. Symbol set: S = {mi, 1 ≤ i ≤ q} symbols/s bits/s 2. Probability of occurring of mi: pi, 1 ≤ i ≤ q 3. Symbol rate: Rs [symbols/s] 4. Interdependency of {S(k)} • Information content of alphabet mi: I(mi) = − log2(pi) [bits] • Entropy: quantifies average information conveyed per symbol q – Memoryless sources: H = − pi · log2(pi) [bits/symbol] i=1 – 1st-order memory (1st-order Markov)P sources with transition probabilities pij q q q H = piHi = − pi pij · log2(pij) [bits/symbol] Xi=1 Xi=1 Xj=1 • Information rate: tells you how many bits/s information the source really needs to send out – Information rate R = Rs · H [bits/s] • Efficient source coding: get rate Rb as close as possible to information rate R – Memoryless source: apply entropy coding, such as Shannon-Fano and Huffman, and RLC if source is binary with most zeros – Generic sources with memory: remove redundancy first, then apply entropy coding to “residauls” 86 ELEC3203 Digital Coding and Transmission – Overview & Information Theory S Chen Practical Source Coding • Practical source coding is guided by information theory, with practical constraints, such as performance and processing complexity/delay trade off • When you come to practical source coding part, you can smile – as you should know everything • As we will learn, data rate is directly linked to required bandwidth, source coding is to encode source with a data rate as small as possible, i.e. -
Probability Interval Partitioning Entropy Codes Detlev Marpe, Senior Member, IEEE, Heiko Schwarz, and Thomas Wiegand, Senior Member, IEEE
SUBMITTED TO IEEE TRANSACTIONS ON INFORMATION THEORY 1 Probability Interval Partitioning Entropy Codes Detlev Marpe, Senior Member, IEEE, Heiko Schwarz, and Thomas Wiegand, Senior Member, IEEE Abstract—A novel approach to entropy coding is described that entropy coding while the assignment of codewords to symbols provides the coding efficiency and simple probability modeling is the actual entropy coding. For decades, two methods have capability of arithmetic coding at the complexity level of Huffman dominated practical entropy coding: Huffman coding that has coding. The key element of the proposed approach is given by a partitioning of the unit interval into a small set of been invented in 1952 [8] and arithmetic coding that goes back disjoint probability intervals for pipelining the coding process to initial ideas attributed to Shannon [7] and Elias [9] and along the probability estimates of binary random variables. for which first practical schemes have been published around According to this partitioning, an input sequence of discrete 1976 [10][11]. Both entropy coding methods are capable of source symbols with arbitrary alphabet sizes is mapped to a approximating the entropy limit (in a certain sense) [12]. sequence of binary symbols and each of the binary symbols is assigned to one particular probability interval. With each of the For a fixed probability mass function, Huffman codes are intervals being represented by a fixed probability, the probability relatively easy to construct. The most attractive property of interval partitioning entropy (PIPE) coding process is based on Huffman codes is that their implementation can be efficiently the design and application of simple variable-to-variable length realized by the use of variable-length code (VLC) tables. -
Fast Algorithm for PQ Data Compression Using Integer DTCWT and Entropy Encoding
International Journal of Applied Engineering Research ISSN 0973-4562 Volume 12, Number 22 (2017) pp. 12219-12227 © Research India Publications. http://www.ripublication.com Fast Algorithm for PQ Data Compression using Integer DTCWT and Entropy Encoding Prathibha Ekanthaiah 1 Associate Professor, Department of Electrical and Electronics Engineering, Sri Krishna Institute of Technology, No 29, Chimney hills Chikkabanavara post, Bangalore-560090, Karnataka, India. Orcid Id: 0000-0003-3031-7263 Dr.A.Manjunath 2 Principal, Sri Krishna Institute of Technology, No 29, Chimney hills Chikkabanavara post, Bangalore-560090, Karnataka, India. Orcid Id: 0000-0003-0794-8542 Dr. Cyril Prasanna Raj 3 Dean & Research Head, Department of Electronics and communication Engineering, MS Engineering college , Navarathna Agrahara, Sadahalli P.O., Off Bengaluru International Airport,Bengaluru - 562 110, Karnataka, India. Orcid Id: 0000-0002-9143-7755 Abstract metering infrastructures (smart metering), integration of distributed power generation, renewable energy resources and Smart meters are an integral part of smart grid which in storage units as well as high power quality and reliability [1]. addition to energy management also performs data By using smart metering Infrastructure sustains the management. Power Quality (PQ) data from smart meters bidirectional data transfer and also decrease in the need to be compressed for both storage and transmission environmental effects. With this resilience and reliability of process either through wired or wireless medium. In this power utility network can be improved effectively. Work paper, PQ data compression is carried out by encoding highlights the need of development and technology significant features captured from Dual Tree Complex encroachment in smart grid communications [2]. -
Entropy Encoding in Wavelet Image Compression
Entropy Encoding in Wavelet Image Compression Myung-Sin Song1 Department of Mathematics and Statistics, Southern Illinois University Edwardsville [email protected] Summary. Entropy encoding which is a way of lossless compression that is done on an image after the quantization stage. It enables to represent an image in a more efficient way with smallest memory for storage or transmission. In this paper we will explore various schemes of entropy encoding and how they work mathematically where it applies. 1 Introduction In the process of wavelet image compression, there are three major steps that makes the compression possible, namely, decomposition, quanti- zation and entropy encoding steps. While quantization may be a lossy step where some quantity of data may be lost and may not be re- covered, entropy encoding enables a lossless compression that further compresses the data. [13], [18], [5] In this paper we discuss various entropy encoding schemes that are used by engineers (in various applications). 1.1 Wavelet Image Compression In wavelet image compression, after the quantization step (see Figure 1) entropy encoding, which is a lossless form of compression is performed on a particular image for more efficient storage. Either 8 bits or 16 bits are required to store a pixel on a digital image. With efficient entropy encoding, we can use a smaller number of bits to represent a pixel in an image; this results in less memory usage to store or even transmit an image. Karhunen-Lo`eve theorem enables us to pick the best basis thus to minimize the entropy and error, to better represent an image for optimal storage or transmission. -
Unfoldr Dstep
Asymmetric Numeral Systems Jeremy Gibbons WG2.11#19 Salem ANS 2 1. Coding Huffman coding (HC) • efficient; optimally effective for bit-sequence-per-symbol arithmetic coding (AC) • Shannon-optimal (fractional entropy); but computationally expensive asymmetric numeral systems (ANS) • efficiency of Huffman, effectiveness of arithmetic coding applications of streaming (another story) • ANS introduced by Jarek Duda (2006–2013). Now: Facebook (Zstandard), Apple (LZFSE), Google (Draco), Dropbox (DivANS). ANS 3 2. Intervals Pairs of rationals type Interval (Rational, Rational) = with operations unit (0, 1) = weight (l, r) x l (r l) x = + − ⇥ narrow i (p, q) (weight i p, weight i q) = scale (l, r) x (x l)/(r l) = − − widen i (p, q) (scale i p, scale i q) = so that narrow and unit form a monoid, and inverse relationships: weight i x i x unit 2 () 2 weight i x y scale i y x = () = narrow i j k widen i k j = () = ANS 4 3. Models Given counts :: [(Symbol, Integer)] get encodeSym :: Symbol Interval ! decodeSym :: Rational Symbol ! such that decodeSym x s x encodeSym s = () 2 1 1 1 1 Eg alphabet ‘a’, ‘b’, ‘c’ with counts 2, 3, 5 encoded as (0, /5), ( /5, /2), and ( /2, 1). { } ANS 5 4. Arithmetic coding encode1 :: [Symbol ] Rational ! encode1 pick foldl estep unit where = ◦ 1 estep :: Interval Symbol Interval 1 ! ! estep is narrow i (encodeSym s) 1 = decode1 :: Rational [Symbol ] ! decode1 unfoldr dstep where = 1 dstep :: Rational Maybe (Symbol, Rational) 1 ! dstep x let s decodeSym x in Just (s, scale (encodeSym s) x) 1 = = where pick :: Interval Rational satisfies pick i i. -
Compresso: Efficient Compression of Segmentation Data for Connectomics
Compresso: Efficient Compression of Segmentation Data For Connectomics Brian Matejek, Daniel Haehn, Fritz Lekschas, Michael Mitzenmacher, Hanspeter Pfister Harvard University, Cambridge, MA 02138, USA bmatejek,haehn,lekschas,michaelm,[email protected] Abstract. Recent advances in segmentation methods for connectomics and biomedical imaging produce very large datasets with labels that assign object classes to image pixels. The resulting label volumes are bigger than the raw image data and need compression for efficient stor- age and transfer. General-purpose compression methods are less effective because the label data consists of large low-frequency regions with struc- tured boundaries unlike natural image data. We present Compresso, a new compression scheme for label data that outperforms existing ap- proaches by using a sliding window to exploit redundancy across border regions in 2D and 3D. We compare our method to existing compression schemes and provide a detailed evaluation on eleven biomedical and im- age segmentation datasets. Our method provides a factor of 600-2200x compression for label volumes, with running times suitable for practice. Keywords: compression, encoding, segmentation, connectomics 1 Introduction Connectomics|reconstructing the wiring diagram of a mammalian brain at nanometer resolution|results in datasets at the scale of petabytes [21,8]. Ma- chine learning methods find cell membranes and create cell body labelings for every neuron [18,12,14] (Fig. 1). These segmentations are stored as label volumes that are typically encoded in 32 bits or 64 bits per voxel to support labeling of millions of different nerve cells (neurons). Storing such data is expensive and transferring the data is slow. To cut costs and delays, we need compression methods to reduce data sizes. -
The Pillars of Lossless Compression Algorithms a Road Map and Genealogy Tree
International Journal of Applied Engineering Research ISSN 0973-4562 Volume 13, Number 6 (2018) pp. 3296-3414 © Research India Publications. http://www.ripublication.com The Pillars of Lossless Compression Algorithms a Road Map and Genealogy Tree Evon Abu-Taieh, PhD Information System Technology Faculty, The University of Jordan, Aqaba, Jordan. Abstract tree is presented in the last section of the paper after presenting the 12 main compression algorithms each with a practical This paper presents the pillars of lossless compression example. algorithms, methods and techniques. The paper counted more than 40 compression algorithms. Although each algorithm is The paper first introduces Shannon–Fano code showing its an independent in its own right, still; these algorithms relation to Shannon (1948), Huffman coding (1952), FANO interrelate genealogically and chronologically. The paper then (1949), Run Length Encoding (1967), Peter's Version (1963), presents the genealogy tree suggested by researcher. The tree Enumerative Coding (1973), LIFO (1976), FiFO Pasco (1976), shows the interrelationships between the 40 algorithms. Also, Stream (1979), P-Based FIFO (1981). Two examples are to be the tree showed the chronological order the algorithms came to presented one for Shannon-Fano Code and the other is for life. The time relation shows the cooperation among the Arithmetic Coding. Next, Huffman code is to be presented scientific society and how the amended each other's work. The with simulation example and algorithm. The third is Lempel- paper presents the 12 pillars researched in this paper, and a Ziv-Welch (LZW) Algorithm which hatched more than 24 comparison table is to be developed. -
The Deep Learning Solutions on Lossless Compression Methods for Alleviating Data Load on Iot Nodes in Smart Cities
sensors Article The Deep Learning Solutions on Lossless Compression Methods for Alleviating Data Load on IoT Nodes in Smart Cities Ammar Nasif *, Zulaiha Ali Othman and Nor Samsiah Sani Center for Artificial Intelligence Technology (CAIT), Faculty of Information Science & Technology, University Kebangsaan Malaysia, Bangi 43600, Malaysia; [email protected] (Z.A.O.); [email protected] (N.S.S.) * Correspondence: [email protected] Abstract: Networking is crucial for smart city projects nowadays, as it offers an environment where people and things are connected. This paper presents a chronology of factors on the development of smart cities, including IoT technologies as network infrastructure. Increasing IoT nodes leads to increasing data flow, which is a potential source of failure for IoT networks. The biggest challenge of IoT networks is that the IoT may have insufficient memory to handle all transaction data within the IoT network. We aim in this paper to propose a potential compression method for reducing IoT network data traffic. Therefore, we investigate various lossless compression algorithms, such as entropy or dictionary-based algorithms, and general compression methods to determine which algorithm or method adheres to the IoT specifications. Furthermore, this study conducts compression experiments using entropy (Huffman, Adaptive Huffman) and Dictionary (LZ77, LZ78) as well as five different types of datasets of the IoT data traffic. Though the above algorithms can alleviate the IoT data traffic, adaptive Huffman gave the best compression algorithm. Therefore, in this paper, Citation: Nasif, A.; Othman, Z.A.; we aim to propose a conceptual compression method for IoT data traffic by improving an adaptive Sani, N.S.