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### Coding with Asymmetric Numeral Systems [chapter]

Jeremy Gibbons
2019 Lecture Notes in Computer Science
Asymmetric Numeral Systems (ANS) are an entropy-based encoding method introduced by Jarek Duda, combining the Shannonoptimal compression effectiveness of arithmetic coding with the execution efficiency  ...  of Huffman coding.  ...  'a' → [0, 1 /5) 'b' → [ 1 /5, 1 /2) 'c' → [ 1 /2, 1) A recent development that addresses both of these problems has been Jarek Duda's introduction of asymmetric numeral systems (ANS) [11, 12, 14] .  ...

### Understanding Entropy Coding With Asymmetric Numeral Systems (ANS): a Statistician's Perspective [article]

Robert Bamler
2022 arXiv   pre-print
Novel machine-learning based compression methods often use a new entropy coder called Asymmetric Numeral Systems (ANS) [Duda et al., 2015], which provides very close to optimal bitrates and simplifies  ...  Entropy coding is the backbone data compression.  ...  From Positional Numeral Systems to Asymmetric Numeral Systems This section guides the reader towards a full implementation of an Asymmetric Numeral Systems (ANS) entropy coder.  ...

### Asymmetric numeral systems: entropy coding combining speed of Huffman coding with compression rate of arithmetic coding [article]

Jarek Duda
2014 arXiv   pre-print
Asymmetric numeral systems (ANS) is a new approach to accurate entropy coding, which allows to end this trade-off between speed and rate: the recent implementation [1] provides about 50% faster decoding  ...  than HC for 256 size alphabet, with compression rate similar to provided by AC.  ...  STREAM VERSION -ENCODING FINITE-STATE AUTOMATON TABLED ASYMMETRIC NUMERAL SYSTEMS (TANS) TABLED ASYMMETRIC NUMERAL SYSTEMS (TANS) TABLED ASYMMETRIC NUMERAL SYSTEMS (TANS) state  ...

### Full Non-Binary Constant-Weight Codes

Alexandr Kuznetsov, Natalia Kryvinska, Anastasiia Kiian, Oleksii Smirnov, Kateryna Kuznetsova
2021 SN Computer Science
These codes can be used in a variety of computer applications: in code-based cryptosystems; to detect errors in asymmetric communication channels, etc. We propose a new numeral system.  ...  It also shows the investigated non-linear coding techniques with full constant-weight codes, which are based on the binomial numeration.  ...  If for some b i = b i , then the mixed base numeral system coincides with the b-ary positional numeral system.  ...

### Network-Coded Bi-Directional Relaying Over an Asymmetric Channel 비대칭 채널에서의 네트워크 코딩 기반 양방향 릴레이 전송 기법

Hyun-Seok Ryu, Jun-Seok Lee, Chung G. Kang
2013 The Journal of Korean Institute of Communications and Information Sciences
In order to deal with asymmetric nature, two different types of NCBR schemes are considered: network coding after padding (NaP) and network coding after fragmentation (NaF).  ...  In this paper, we consider network-coded bi-directional relaying (NCBR) schemes over an asymmetric channel, in which bi-directional links have the different channel quality, as well as the asymmetric traffic  ...  BER) or frame error rate (FER) [12] . results can be extended to the coded systems using the adaptive-coded schemes in [11] .  ...

### An Efficient Encryption-Then-Compression System using Asymmetric Numeral Method

Sridevi P, Dr.Suguna J
2017 International Journal of Engineering and Technology
This paper has proposed an efficient image Encryption and Then Compression system (ETC) using Asymmetric Numeral Method (ANM) for compressing the images.  ...  Keywords -Image Encryption, Lossless Compression, Security, Asymmetric Numerical Method and Prediction Error Clustering. I.  ...  Jarek Duda [1] proposed Asymmetric Numeral System (ANS) approach to entropy coding and combined the compression ratio of arithmetic coding with the speed of huffman coding.  ...

### Page 1444 of American Society of Civil Engineers. Collected Journals Vol. 123, Issue ST11 [page]

1997 American Society of Civil Engineers. Collected Journals
Finally, energy-based and ductility- based indices of asymmetric-plan systems designed according to three major seismic codes were compared with symmetric- plan systems.  ...  The effects of such coupling and how well these effects are represented in seismic codes have been the subject of numerous investigations (Rutenberg 1992).  ...

### Scalable bifurcation analysis algorithms for large parallel applications [chapter]

Andrew G. Salinger, Roger P. Pawlowski, Louis A. Romero
2001 Computational Fluid and Solid Mechanics
The continuation algorithms are developed to be readily linked to application codes that already use Newton's method.  ...  Acknowledgements The authors with to acknowledge the work of John Shadid, Rich Lehoucq, Ray Tuminaro, TJ Mountziaris, and the others who in various ways have laid the groundwork for this contribution.  ...  Introduction The nonlinear stability of a system must be well understood in order to design, operate, and control an engineering system with a reasonable level of certainty.  ...

### Page 161 of American Society of Civil Engineers. Collected Journals Vol. 120, Issue 1 [page]

1994 American Society of Civil Engineers. Collected Journals
Investigated in this study is the response of one-story, asymmetric-plan systems designed according to torsional provisions of seismic codes to the two levels of ground motions with the objective of evaluating  ...  Therefore, the code design procedures for asymmetric-plan systems should be evaluated by simulta- ‘Asst. Res. Engr., Dept. of Civ. Engrg., Univ. of California, Berkeley, CA 94720.  ...

### Simplified Geometric Modeling of Complex Aerodynamic Shapes

Frederick L. Shope
1980 Journal of Spacecraft and Rockets
This vehicle is a bent cone with slices on its aft end and capped with an asymmetrical indented nose.  ...  , which in turn provides geometric information to various numerical flowfield codes.  ...

### Page 3762 of American Society of Civil Engineers. Collected Journals Vol. 117, Issue 12 [page]

1991 American Society of Civil Engineers. Collected Journals
INTRODUCTION The evaluation of torsional provisions in building codes based on com- puted responses of elastic, asymmetric-plan systems has been the subject of numerous studies in the past (Chandler and  ...  The earth- quake-induced deformations and ductility demands on resisting elements of asym- metric-plan systems, designed according to several different codes, are compared with their values if the system  ...

### Axisymmetric stability of vertically asymmetric Tokamaks at large beta poloidal

K Yamazaki, H Fishman, M Okabayashi, A M M Todd
1983 Plasma Physics
Qualitative agretment between these analytic results and numerical stability calculations using the PEST code is demonstrated. vertical elongation induces an axisymmetric vertical instability which requires  ...  The vertically asymmetric configuration has been iivestigated experimentally in PDX [7] and Doublet III [81 . There have been some numerical calculation!!  ...  COMPARISOW WITH NUMERICAL CALCULATIOWS We now compare our analytic results with numerical calculations using the PEST code [11, 13] .  ...

### Bit-fixing codes for multi-level cells

Anxiao Jiang, Yue Li, Jehoshua Bruck
2012 2012 IEEE Information Theory Workshop
The scheme can be generalized to many more numeral systems for cell levels and errors, optimized cell-level labelings, and any number of cell levels.  ...  It can be applied not only to storage but also to amplitude-modulation communication systems.  ...  And it can be generalized to more numeral systems.  ...

### Performance of JPEG Image Transmission Using Proposed Asymmetric Turbo Code

K. Ramasamy, Mohammad Umar Siddiqi, Mohamad Yusoff Alias
2006 EURASIP Journal on Advances in Signal Processing
The simulation results and performance bound for proposed asymmetric turbo code for the frame length N = 400, code rate r = 1/3 with Log-MAP decoder over AWGN channel are compared with the typical system  ...  From the simulation results, it is observed that the image transmission using proposed asymmetric turbo code performs better than that with the typical system.  ...  bounds for typical turbo code system Typical turbo code system with random interleaver Proposed asymmetric turbo code system with random interleaver Proposed asymmetric turbo code system with CMI Performance  ...

### Hydrodynamical Simulations of Hα Emission in Algol Binaries

Mark A. Ratliff, Mercedes T. Richards
1997 International Astronomical Union Colloquium
We find that the simulations produce asymmetric accretion structures with many features similar to those found in the Doppler tomograms of Algol systems.  ...  This code uses the Piecewise Parabolic Method with a Lagrangian Remap. Our version of the code also accounts for radiative cooling processes.  ...  We find that the simulations produce asymmetric accretion structures with many features similar to those found in the Doppler tomograms of Algol systems.  ...
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