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Free energy minimisation algorithmfor decoding and cryptanalysis
Abstract
An algorithm is derived for inferring a binary vector s given noisy observations of As modulo 2, where A is a binary matrix. The binary vector is replaced by a vector of probabilities, optimised by free energy minimisation. Experiments on the inference of the state of a linear feedback shift register indicate that this algorithm supersedes the Meier and Staffelbach polynomial algorithm.
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Variational Bayes approximates the conditional density by optimising sufficient statistics of an approximate density with respect to a lower bound on evidence.
“Variational Bayes is a generic approach to model inversion that approximates the conditional density p(ϑ|y,m) on some model parameters, ϑ, given a model m and data y.”
From Hierarchical Models in the Brain (2008) · cites this paper as [13]
Free-energy is an information theory quantity that bounds the evidence for a model of data.
“In statistics and machine learning, free-energy is an information theory quantity that bounds the evidence for a model of data (Hinton and von Camp 1993;MacKay 1995;Neal and Hinton 1998).”
From Action and behavior: a free-energy formulation (2010) · cites this paper as MacKay 1995
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References 6 · Cited by 79
Research works printed but not linked: 5
- Meier, 1989, 1, 159, 10.1007/BF02252874 · DOI
- Anderson, R.J.: ‘Searching for the optimum correlation attack’, Preneel, B., Proc. of 1994 K.U.Leuven Workshop on Cryptographic Algorithms, Lecture Notes in Computer Science, (Springer-Verlag 1995) · DOI
- Hopfield, 1985, 52, 1, 10.1007/BF00336930 · DOI
- Van den Bout, 1989, 62, 129, 10.1007/BF00203001 · DOI
- MacKay, 1995, Proc. 1994 K.U.Leuven Workshop on Cryptographic Algorithms
Metadata
- Authors
- MacKay, D. J. C.
- Affiliations
- University of Cambridge (GB)
- Corresponding author
- MacKay, D.J.C.
- ORCID
- MacKay, D.J.C.
- Venue
- Electronics Letters
- Published
- 1995-03-16
- Volume
- 31
- Issue
- 6
- Pages
- 446-447
- ISSN
- 0013-5194 (ISSN-L)
- 1350-911X
- OpenAlex
- W2135100787
- Cited by
- 79
- References
- 6
- Citations by year
- 2026: 1 · 2025: 1 · 2024: 3 · 2023: 3 · 2022: 7 · 2021: 8 · 2020: 10 · 2019: 2 · 2018: 1 · 2017: 3 · 2014: 1 · 2013: 3 · 2012: 4
- FWCI
- 0.95
- Type
- journal article
- Language
- en
- Open access
- closed
- Locations
- Electronics Letters (publishedVersion)
- Topics
- Physical Sciences › Mathematics › Discrete Mathematics and Combinatorics › Coding theory and cryptography
- Physical Sciences › Computer Science › Computer Networks and Communications › Error Correcting Code Techniques
- Physical Sciences › Computer Science › Artificial Intelligence › Cryptographic Implementations and Security
- Keywords
- free energy minimization, noisy measurements, binary matrices, probabilistic decoding, cryptanalysis, linear feedback shift registers
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