|
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David's Publications
What you can find here
This website includes
- almost all the papers
I have written - on Hebbian learning, Bayesian methods, Neural networks,
Latent variable models,
Error-correcting codes, and Natural selection;
-
Some presentations.
-
Two books:
my BibTeX file, mackay.bib, containing citations (email me if you think it's not up to date)
much of the software that I have written, including simulation software,
optimizers,
and teaching software (information theory and neural networks | dynamics);
databases of research results (especially for error-correcting codes)
software for making error-correcting codes, and databases of
such codes.
data sets relating to machine learning.
|
|
|
My papers and software are mirrored in North America.
-
Most of these files are ".ps.gz", i.e.
postscript files (.ps) compressed with gzip (.gz).
- Since Mon 15/7/02, I have tried to provide PDF alternatives to
all postscript files.
- Since Sun 20/10/02, DJVU alternatives are also provided.
If you don't have gunzip on your machine,
you can find gunzip
executables for various systems
here;
the msdos executable is also here.
Some users report that gsview32 is useful for viewing the ps.gz files.
Further links about gzip and gunzip:
gzip.org,
gzip.html.
Some users of windows machines find that
if they download a ps.gz file by http then it does
not unzip and display, but if they download it by ftp,
it works fine.
To convert an http URL to an ftp URL,
please use
the following pair as
an example:
ftp://www.inference.org.uk/pub/www/mng10/GP/gpros.ps.gz
http://www.inference.org.uk/mng10/GP/gpros.ps.gz
djvu files are
provided for some papers.
[Download djView]
|
Environment and Energy
2014
-
beagleModel.ps.gz.
beagleModel.pdf.
abstract.
- `Consistency of The Mortality of Chronically-irradiated Beagles with
the Linear No-Threshold Model'. [technical report, draft, version 1.0 published online Wed 12/11/14]
2013
-
RSsolar.ps.
RSsolar.pdf.
abstract. | <- UK
- ` Solar energy in the context of energy use, energy transportation,
and energy storage
'. Technical report, similar to
paper published July 2013 as
follows:
MacKay DJC. 2013 Solar
energy in the context of energy use, energy
transportation and energy storage. Phil Trans
R Soc A 371: 20110431.
http://dx.doi.org/10.1098/rsta.2011.0431
2008-2009
-
Kite.ps.
Kite.pdf.
- `Kite Power
'.
-
TideEstimate.ps.
TideEstimate.pdf.
abstract. | <- UK |
- ` Under-estimation of the UK Tidal Resource
'.
-
Lagoons.ps.
Lagoons.pdf.
abstract. | <- UK |
- ` Enhancing Electrical Supply by
Pumped Storage in Tidal Lagoons
'.
2006
-
Erg06.ps.gz.
Erg06.pdf.
abstract. | <- UK | Canada -> | Erg06.ps.gz.
Erg06.pdf.
abstract.
- ` Ergodic Pumping:
a mechanism to drive biomolecular conformation changes
'.
by Robert S MacKay and David J C MacKay
Web-pages on various energy issues
Other useful resources on this website
|
A rough draft is currently available:
all in one 7M pdf file | or in four parts
There is a
special high resolution colour version (pdf) (38M)
For printing on a black'n'white printer there is a (not necessarily up to date)
special monochrome version (pdf) (38M)
I've also written a 4-page executive summary -
(postscript, 4 pages) |
(pdf)
Corrections to draft 3.3.3
LOG of major changes
If the above links don't work, there is
an older draft here: 8M pdf file
|
There is a website devoted to this book
Information Theory, Inference, and Learning Algorithms
(Hardback, 640 pages, Published September 2003)
Order your copy
Price: £35.00 / $60.00 from |CUP UK/USA| |amazon.co.uk/.com/.ca/.co.jp| | Barnes & Noble USA | booksprice. | fetchbook.info | allbookstores | biggerbooks | blackwells | directtextbook | kalahari.net (South Africa) | Special Paperback edition for South Asia.|
Download the book too
You can browse and search the book on Google
books.
You may download
The book in one file
(640 pages):
Notes:
- Version 6.0 was released Thu 26/6/03; the book is finished.
You are welcome to view the book on-screen. Version 6.0 was used for the first printing,
published by C.U.P. September 2003.
-
Version 6.6 was released Mon 22/12/03; it will be used for the second printing,
to be released January 2004.
In this second printing,
a small number of typographical errors were corrected,
and the design of the book was altered slightly.
Page-numbering generally remains unchanged,
except in chapters 1, 6, and 28,
where
a few paragraphs, figures, and equations have
moved around.
All equation, section, and exercise numbers are unchanged.
- Version 7.0 is the third printing (November 2004).
Its only differences from the 2nd printing are a number of corrections,
and the renaming of the chapter `Correlated Random Variables' to `Dependent Random Variables'.
Copyright issues: The book is copyright (c) Cambridge University Press.
It has been available in bookstores since September 2003. The cover price in 2003 was 30 pounds (UK)
and $50 (USA); in 2006, 35 pounds and $60 (USA).
Now the book is published, these files will remain viewable on
this website. The same copyright rules will apply to the online copy of the
book as apply to normal books. [e.g., copying the whole book onto paper is
not permitted.]
History:
Draft 1.1.1 - March 14 1997.
Draft 1.2.1 - April 4 1997.
Draft 1.2.3 - April 9 1997.
Draft 1.2.4 - April 10 1997. Margins altered so as to print better
on Northamerican paper
Draft 1.3.0 - December 23 1997.
Draft 1.9.0 - Feb 1 1999.
Draft 2.0.0 - Jan 6 2000. New page layout.
Draft 2.2.0 - Dec 23 2000. Fresh draft.
Draft 3.1415 - Jan 12 2003. Nearly finished.
Draft 4.0 - April 15 2003. Chapter sequence finalized.
Draft 4.1 - April 18 2003. Adding new frontmatter (Preface etc)to book. Corrected printing of letter version.
Version 6.0 - Thu 26 June 2003. Final version.
Version 6.6 - Mon 22 December 2003. Second printing.
- Here is my method for converting to two-up under linux:
pstops '4:0L@.67(20cm,1cm)+1L@.67(20cm,15cm),3R@.67(1cm,15.25cm)\
+2R@.67(1cm,29.25cm)' $*.ps $*.dps
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-
mncEL.ps.gz.
|
PDF.
| DJVU.
|
abstract.
| ps mirror, Canada |
| PDF |
| DJVU |
- ` Near Shannon Limit Performance of Low Density Parity Check Codes
'.
With Radford Neal. (Very short paper, published in Elec. Lett.)
-
mncN.ps.gz. (55 pages)
| PDF |
DJVU |
abstract |
Chinese translation
by Dong Xiangyu (rioshering-at-hotmail.com)
|
| ps mirror, Canada
| pdf
| DJVU |
- ` Good Error-Correcting
Codes based on Very Sparse Matrices
'.
Appeared in IEEE-IT, 1999. Also, with Radford Neal, an
early massively shortened version of this paper
(published in the 1995 book `Cryptography and Coding' LNCS 1025):
mnc4s.ps.gz.
| PDF |
| DJVU |
| ps mirror, Canada |
| pdf |
DJVU |
-
mncNcorrns.ps.gz. (1 page)
| PDF |
DJVU |
mncNcorrns.tex.
| ps mirror, Canada |
| pdf |
DJVU |
- ` Errata for the paper:
Good Error-Correcting
Codes based on Very Sparse Matrices
'. (Contains 4 corrections to the published version)
-
gfqoptimize.ps.gz.
gfqoptimize.pdf.
abstract. | <- UK | Canada -> | gfqoptimize.ps.gz.
gfqoptimize.pdf.
abstract.
- `Optimizing Sparse Graph Codes over GF(q)'. (3 pages) (2003)
- More on Gallager Codes over GF(q): see Matthew Davey's web pages
-
dilbert3.ps.gz |
PDF |
DJVU |
Canada -> | dilbert3.ps.gz.
pdf |
| DJVU |
- `Error-correcting codes and probability propagation'.
(16 pages of lecture notes for the 2001 meeting on Statistics and Artificial
Intelligence) | Also
accumulator networks.
-
sparsecodes0.ps.gz.
| PDF |
| DJVU |
abstract. | <- UK | Canada -> | sparsecodes0.ps.gz.
abstract.
- ` Sparse Graph Codes
'. (3 page summary paper)
-
sparsecodes.ps.gz.
| PDF |
| DJVU |
abstract. | <- UK | Canada -> | sparsecodes.ps.gz.
abstract.
- ` Gallager Codes - Recent Results
'. (12 page paper)
-
encyclopedia.ps.gz.
| PDF |
| DJVU |
abstract. | <- UK | Canada -> | encyclopedia.ps.gz.
abstract.
- ` Encyclopedia of Sparse Graph Codes
'.
- Encyclopedia
of Sparse Graph Codes (hypertext archive, under construction)
-
rev.ps.gz.
| PDF |
| DJVU |
abstract. | <- UK | Canada -> | rev.ps.gz.
abstract.
- ` A Revolution: Belief Propagation in Graphs with Cycles
'.
Brendan J. Frey
and David J.C. MacKay.
Presented at NIPS 1997.
-
ibis.ps.gz.
| PDF |
| DJVU |
abstract. | <- UK | Canada -> | ibis.ps.gz.
abstract.
- ` Relationships between Sparse Graph Codes
'.
This Paper appears in the (unpublished) proceedings of IBIS 2000, Japan.
I have also put a mirror of Gallager's classic book on my website,
Gallager, R. G., Low Density Parity Check Codes, Monograph, M.I.T. Press, 1963.
|
[See also the big paper on Gallager codes and MN codes.]
-
mceliece.ps.gz | TBSC-Decoding.pdf (old pdf file).
| PDF |
| DJVU |
- BSC Thresholds for Code Ensembles based on `Typical pairs' decoding.
S. Aji,
H. Jin, A. Khandekar,
R. J. McEliece,
and D. J. C. MacKay. In proceedings of IMA meeting 1999.
-
theorems.ps.gz |
djvu |
abstract | <- UK | Canada -> |
theorems.ps.gz
djvu |
abstract |
- `On Thresholds of Codes'.
-
fountain.ps.gz.
fountain.pdf.
abstract. | <- UK | Canada -> | fountain.ps.gz.
fountain.pdf.
abstract.
- ` Fountain Codes
'. (2004)
|
[See also earlier papers on Gallager codes and MN codes.]
-
R3.ps.gz.
| PDF |
| DJVU |
abstract. | <- UK | Canada -> | R3.ps.gz.
abstract.
- ` Two Small Gallager Codes
'. with Matthew Davey
-
sensit.ps.gz.
| PDF |
| DJVU |
abstract. | <- UK | Canada -> | sensit.ps.gz.
abstract.
- ` Sensitivity of Low Density Parity Check Codes to Decoding Assumptions
'.
David J.C. MacKay and Christopher P. Hesketh.
-
margulis.ps.gz.
margulis.pdf.
| margulis.DJVU.
abstract. | <- UK | Canada -> | margulis.ps.gz.
margulis.pdf.
| margulis.DJVU.
abstract.
- ` Weaknesses of Margulis and Ramanujan-Margulis Low-Density Parity-Check Codes
'.
David J.C. MacKay and Michael S. Postol.
High Rate Codes
-
seagate.ps.gz.
| PDF |
| DJVU |
abstract. | <- UK | Canada -> | seagate.ps.gz.
abstract.
- ` Evaluation of Gallager Codes for Short Block Length and High Rate
Applications
'. with Matthew Davey.
-
highrate.ps.gz.
highrate.pdf.
abstract. | <- UK | Canada -> | highrate.ps.gz.
highrate.pdf.
abstract.
- ` Gallager Codes for High Rate Applications
'.
Research note written with Ed Ratzer, Jan 2003. Looks in more
detail at high rate codes.
|
-
ldpc-irreg.ps.gz.
| PDF |
| DJVU |
abstract. | <- UK | Canada -> | ldpc-irreg.ps.gz.
abstract.
- ` Comparison of Constructions of Irregular Gallager Codes
'.
David MacKay, Simon Wilson and Matthew Davey.
Published in IEEE Transactions on Communications (submitted 30 July 1998)
and in Proceedings of the 1998 Allerton Conference on Communication, Control, and Computing.
-
irreg-its.ps.gz.
| PDF |
| DJVU |
abstract. | <- UK | Canada -> | irreg-its.ps.gz.
abstract.
- ` Decoding Times of Irregular Gallager Codes
'.
-
ra-its.ps.gz.
| PDF |
| DJVU |
abstract. | <- UK | Canada -> | ra-its.ps.gz.
abstract.
- ` Decoding Times of Repeat-Accumulate Codes
'.
-
puncture.ps.gz.
| PDF |
| DJVU |
abstract. | <- UK | Canada -> | puncture.ps.gz.
abstract.
- ` Punctured and Irregular High-Rate Gallager Codes
'.
|
-
BPTD.ps.zip (old USA site).
BPTD.ps (USA master site).
BPTD.ps.gz (UK mirror, not nec. up to date).
BPTD.ps.gz (Canada mirror).
- Turbo Decoding as an Instance of Pearl's
`Belief Propagation' Algorithm.
R. J. McEliece,
D. J. C. MacKay and J.-F. Cheng. In
IEEE Journal on Selected Areas in Communication.
-
turbo-ldpc.ps.gz.
| PDF |
| DJVU |
abstract. | <- UK | Canada -> | turbo-ldpc.ps.gz.
abstract.
- ` Turbo Codes are Low Density Parity Check Codes
'.
This material was included in other papers, such as the big one (mncN.ps.gz).
-
tcc-al.ps.gz.
| PDF |
| DJVU |
no abstract. | <- UK | Canada -> | tcc-al.ps.gz.
no abstract.
- ` Trellis-constrained codes
'.
Brendan J. Frey
and David J.C. MacKay.
Presented at Allerton 1997.
-
postscript.
| <- UK | Canada -> |
abstract.
- ` Irregular turbocodes
'. with Brendan Frey. (in Proceedings of the
37th Allerton Conference on Communication, Control and Computing 1999, Allerton
House, Illinois.)
-
G4096.ps.gz.
G4096.pdf.
| G4096.DJVU.
abstract. | <- UK | Canada -> | G4096.ps.gz.
G4096.pdf.
| G4096.DJVU.
abstract.
- ` (4096,3249) Gallager Codes compared with Tanner Product Codes
'.
`
|
-
PDF |
| DJVU |
abstract. | <- UK |
- ` "Watermark codes": reliable communication
over channels with insertions, deletions, and substitutions
'. Matthew Davey and David MacKay. One page paper in ISIT2000.
-
`Reliable communication
over channels with insertions, deletions, and substitutions.'
Paper appeared in IEEE-IT Feb 2001.
See also Matthew Davey's web pages
-
ERRATUM: (19th March 2001) In the published version
of the above IEEE-IT paper,
figure 15 contained a minor error, now corrected on the
file on this website.
Both the dotted `Zigangirov' curves were a tiny
bit higher than they ought to be. You can see the difference
between the old curves and the corrected curves in
this figure and you can
also obtain the corrected curves
or the entire corrected page.
The error has no influence on the substance of the paper.
This error arose because our definition of the deletion rate (pd) differs
by a factor (1-pi) from that of Zigangirov, where pi is the
insertion rate.
Thanks to Dave Leigh.
-
rll01.ps.gz.
rll01.pdf.
| rll01.DJVU.
abstract. | <- UK | Canada -> | rll.ps.gz.
rll01.pdf.
| rll01.DJVU.
abstract.
- ` Almost-certainly Runlength-limiting Codes
'.
in proceedings of the IMA Cryptography and Coding Conference 2001,
copyright Springer
-
rllt.ps.gz.
| PDF |
| DJVU |
abstract. | <- UK | Canada -> | rllt.ps.gz.
abstract.
- ` An Alternative to Runlength-limiting Codes:
Turn Timing Errors into Substitution Errors
'.
-
istc2000.ps.gz.
| PDF |
| DJVU |
abstract. | <- UK | Canada -> | istc2000.ps.gz.
abstract.
- ` Codes for Channels with Insertions, Deletions and Substitutions
'. by Ed Ratzer and David MacKay. Presented at ISTC 2000, Brest.
[See also
Quantum Error-Correcting Codes
- As submitted to journal:
qecc.ps.gz.
qecc.pdf.
abstract. | <- UK | Canada -> | qecc.ps.gz.
qecc.pdf.
abstract.
- `Sparse Graph Codes for Quantum Error-Correction'.
by David MacKay, Graeme Mitchison, and Paul McFadden.
quant-ph/0304161. IEEE Transactions on Information Theory, vol 50, no 10, in press.
- Extended version:
qeccE.ps.gz.
qeccE.pdf.
abstract. | <- UK | Canada -> | qeccE.ps.gz.
qeccE.pdf.
abstract.
- `Sparse Graph Codes for Quantum Error-Correction'.
by David MacKay, Graeme Mitchison, and Paul McFadden.
quant-ph/0304161. Extended version of paper appearing in
IEEE Transactions on Information Theory.
-
cayley.ps.gz.
cayley.pdf.
abstract. | <- UK | Canada -> | cayley.ps.gz.
cayley.pdf.
abstract.
- ` More Sparse-Graph Codes for Quantum Error-Correction
'.
by David J C MacKay, Amin Shokrollahi,
Oliver Stegle, and
Graeme Mitchison
|
- fe.ps.gz.
| PDF |
| DJVU |
abstract
| ps mirror, Canada |
- `A Free Energy Minimization Framework for
Inference Problems in Modulo 2 Arithmetic'.
Also a short version of the same paper:
fes.ps.gz,
| PDF |
| DJVU |
| ps mirror, Canada |
appeared in Electronics Letters, title `A Free Energy Minimization
Algorithm for Decoding and Cryptanalysis'. Or a
short version, including pseudocode in appendix:
fem.ps.gz.
| PDF |
| DJVU |
| ps mirror, Canada |
Submissions to ISIT97 (all rejected)
-
muleisit.ps.gz.
| PDF |
| DJVU |
abstract.
| <- UK | Canada -> |
muleisit.ps.gz .
abstract.
- ` Shortened Turbo Codes
'.
(A one-page summary)
-
scc.ps.gz.
| PDF |
| DJVU |
abstract.
| <- UK | Canada -> |
scc.ps.gz .
abstract.
- ` Decoding Shortened Cyclic Codes by Belief Propagation
'. (with Simon T. Wilson) (One-page summary)
-
gfq.ps.gz.
| PDF |
| DJVU |
abstract.
| <- UK | Canada -> |
gfq.ps.gz .
abstract.
- ` Low Density Parity Check Codes over GF(q)
'. (One-page summary) (with M.C. Davey)
|
Discussion documents
-
replica.ps.gz.
| PDF |
| DJVU |
abstract. | <- UK | Canada -> | replica.ps.gz.
abstract.
- ` Thresholds of Low-Density Parity Check Codes (Discussion Document)
'.
-
bethe.ps.gz.
| PDF |
| DJVU |
abstract. | <- UK | Canada -> | bethe.ps.gz.
abstract.
- ` Questions about the Bethe Free Energy and Sum-Product (Discussion Document)
'.
With Jonathan Yedidia, William Freeman, and Yair Weiss
-
xword.ps.gz.
xword.pdf.
abstract. | <- UK | Canada -> | xword.ps.gz.
xword.pdf.
abstract.
- ` Counting Crosswords
'. by David J C MacKay and Jeremy Thorpe
Draft 2.5 uploaded Wed 19/4/06
-
covariance.ps.gz.
covariance.pdf.
abstract. | <- UK | Canada -> | covariance.ps.gz.
covariance.pdf.
abstract.
- ` How to Parameterize a Two--Dimensional Covariance Matrix
'.
|
Other applications of Message-Passing
Papers written by students in my group
- pumphreySAT.pdf
-
Solving the Satisfiability Problem using Message-Passing
Techniques
by Sam J Pumphrey (2001)
- young-maxind.pdf
-
Solving Combinatorial Problems using Message-Passing
by Ben Young (2001)
|
My thesis consisted of four published papers, one unpublished
chapter, and `summary' and `postscript' chapters.
If you are only interested in one published chapter then
you might prefer to download the single `Neural Computation' files listed after each chapter
below. The thesis version is to be preferred, however, as it
contains slightly more information. The whole thing, postscript | djvu | pdf
| Also available from Caltech
library |
- Contents
- pp. i-vi
(30K); |DJVU|
- Chapter 1: Summary
-
pp. 01-06 (40K);
|DJVU|
- Chapter 2: Bayesian Interpolation
-
pp. 07-17 (86K);
|DJVU|
pp. 18-25 (68K);
|DJVU|
pp. 26-33 (91K);
|DJVU|
or
as published in Neural Computation
4 3 415-447 (188K).
|DJVU|
- Chapter 3: A Practical Bayesian Framework for Backprop Networks
-
pp. 34-43 (94K);
|DJVU|
pp. 44-52 (71K);
|DJVU|
or as published in Neural Computation
4 3 448-472 (144K).|
|DJVU|
- Chapter 4: Information-based objective
functions for active data selection
-
pp. 53-64 (122K); |DJVU|
or as published in Neural Computation
4 4 589-603 (125K). |DJVU|
- Chapter 5: The evidence framework applied to classification networks
-
pp. 65-69
(85K); |DJVU|
pp. 70-70
(195K); |DJVU|
pp. 71-78
(191K); |DJVU|
or as published in Neural Computation
4 5 698-714
(456K).
|DJVU|
- Chapter 6: Inferring input-dependent
noise levels
-
pp. 79-81
(34K); |DJVU|
- Chapter 7: Postscript
-
pp. 82-86
(39K);
|DJVU|
- Bibliography
-
pp. 87-92
(30K).
|DJVU|
|
See also my PhD thesis
- network.ps.gz,
| PDF |
DJVU |
abstract
| ps mirror, Canada |
- `Probable Networks and Plausible Predictions -
A Review of Practical
Bayesian Methods for Supervised Neural Networks'
This is the final version of a review paper based on
a book chapter in a Springer publication
entitled "Bayesian methods for backpropagation networks";
it appeared as
a commissioned
review article in Network (IOPP).
- cpi_short.ps.gz
| PDF |
DJVU |
| ps mirror, Canada |
- Bayesian Non-Linear Modelling with Neural Networks
A review paper giving a basic introduction to neural networks
and then describing Bayesian methods, with two case studies.
-
nips91.ps.gz.(9 pages) |
| PDF |
DJVU |
| ps mirror, Canada|
pdf.
| DJVU.
|
- ` Bayesian Model Comparison and Backprop Nets
'.
NIPS paper reviewing Bayesian methods, and including discussion of
the relationship to the `Effective VC dimension' in Structural Risk Minimization.
-
cpi4.ps.gz.(791K,43 pages)
| PDF |
DJVU |
abstract.
| ps mirror, Canada |
- `Bayesian Methods for Neural Networks: Theory and Applications'.
Course notes for Neural Networks Summer School
-
hme.ps.gz
up to
date links are here
- `Bayesian methods for Mixtures of Experts'
Steve Waterhouse, David MacKay and Tony Robinson
-
objective.ps.gz.
| PDF |
DJVU |
abstract. | <- UK | Canada -> | objective.ps.gz.
abstract.
- ` Searching for `optimal' inputs with an empirical regression model
'.
-
nnbm.ps.gz.
| PDF |
DJVU |
- `The Nonnegative Boltzmann Machine'
with Oliver Downs and Daniel Lee. (NIPS 99)
pred.ps.gz,
| PDF |
DJVU |
abstract
| ps mirror, Canada |
- Bayesian Non-linear Modeling for the
Energy Prediction Competition
-
approx.ps.gz.
approx.pdf.
abstract. | <- UK | Canada -> | approx.ps.gz.
approx.pdf.
abstract.
- ` Bayesian Approximation Theory
'. (2004)
|
(see also the Language, Proteins, Density nets page)
Independent Component Analysis (and other latent variable models)
-
ica.ps.gz.
| PDF |
DJVU |
abstract. | <- UK | Canada -> | ica.ps.gz.
abstract.
- ` Maximum Likelihood and Covariant Algorithms
for Independent Component Analysis '. (see also
Barak Pearlmutter's work)
Unpublished paper.
- PhD Thesis on Bayesian Independent Component Analysis
- by James Miskin
-
icagenes.ps.gz |
pdf
| DJVU.
abstract. | <- UK | Canada ->
| icagenes.ps.gz.
| pdf.
| djvu.
abstract.
- ` Latent Variable Models for Gene Expression Data
'.
With James Miskin
Generalized Boltzmann machines / Contrastive Divergence
-
rbm.ps.gz.
rbm.pdf.
abstract. | <- UK | Canada -> | rbm.ps.gz.
rbm.pdf.
abstract.
- ` Are Restricted Boltzmann Machines Universal?
'.
with Marcus Frean and Philip Sterne
-
gbm.ps.gz |
pdf
| DJVU |
abstract. | <- UK | Canada -> | gbm.ps.gz.
pdf.
| DJVU.
abstract.
- `Failures of the One-Step Learning Algorithm'.
`Boosting'
-
boost.ps.gz.
boost.pdf.
abstract. | <- UK | Canada -> | boost.ps.gz.
boost.pdf.
abstract.
- `Likelihood-based Boosting'. With Radford Neal (Unpublished paper, 1998)
|
- alpha.ps.gz,
| PDF |
DJVU |
abstract
| ps mirror, Canada |
pdf |
djvu |
- Hyperparameters: optimize, or integrate out?
This paper appeared in shortened form in the 1993 Maxent proceedings.
The long version underwent a lengthy refereeing process
with Neural Computation, where it was published (1999)
under the title
Comparison of Approximate Methods for Handling Hyperparameters.
-
laplace.ps.gz.
| PDF |
DJVU |
abstract.
| <- UK | -> Canada |
laplace.ps.gz.
abstract.
- `Choice of Basis for Laplace Approximation'.
Published in Machine Learning.
Volume 33, No. 1, October 1998
(Submitted October 14th 1996)
-
delve.ps.gz.
| PDF |
DJVU |
abstract. | <- UK | Canada -> | delve.ps.gz.
abstract.
- ` More sensitive tests in DELVE'.
See also
|
-
erice.ps.gz.
| PDF |
DJVU |
abstract. | <- UK | Canada -> | erice.ps.gz.
abstract.
- ` Introduction to Monte Carlo methods
'.
A review paper in the proceedings of an Erice summer school, ed. M.Jordan.
-
paris.ps.gz.
| PDF |
DJVU |
abstract
| ps mirror, Canada. abstract |
- ` Probabilistic Networks: New Models and New Methods
'.
A paper describing an interpolation model with input-dependent
noise level, implemented using `BUGS'. This paper is for ICANN95 in Paris.
For more information about the BUGS program, see ftp.mrc-bsu.cam.ac.uk.
- astro.ps.gz,
| PDF |
DJVU |
astro.tar
| ps mirror, Canada |
- Inferring the distance to the Virgo cluster from Cepheid data
using the BUGS program. (Bayesian inference using Gibbs Sampling).
Currently this sketched report uses mock data.
-
mnr4997.pdf
- Infrared magnitude-redshift relations for
luminous radio galaxies
K. J. Inskip, P. N. Best, M. S. Longair, and D. J. C. MacKay
This is an electronic version of an article published in Monthly Notices of the Royal Astronomical Society:
complete citation information for the final version of the paper, as published
in the print edition of Monthly Notices of the Royal Astronomical Society, is available on the Blackwell Science
Synergy online delivery service, accessible via the journal's Website
at: http://www.blacksci.co.uk/MNR.
-
Exact sampling from antiferromagnetic spin systems
- Ryan Patterson, Andrew Childs, Radford Neal and David MacKay.
This paper was published in Phys Rev E vol 63, 036113, under the title
Exact Sampling from nonattractive distributions using summary states.
-
slice.ps.gz |
pdf
| DJVU.
abstract. | <- UK | Canada -> | slice.ps.gz
| pdf
| DJVU
| abstract.
- ` Slice Sampling - a Binary Implementation
'.
By John Skilling and David MacKay To appear in Annals of Statistics
-
nested.ps |
nested.pdf |
- ` Nested Sampling - a tutorial
'.
- MCMC for doubly-intractable distributions.
Iain Murray,
Zoubin Ghahramani,
David J.C. MacKay.
Proceedings of the 22nd Annual Conference on Uncertainty in Artificial Intelligence (UAI), 2006. [PDF, DjVu, JavaDjVu].
- Nested sampling for Potts Models.
Iain Murray,
David J.C. MacKay,
Zoubin Ghahramani,
John Skilling. Advances in Neural Information Processing Systems
18, 2006. [PDF, DjVu, JavaDjVu]
|
-
ensemble.ps.gz.
| PDF |
DJVU |
abstract.
| ps mirror, Canada |
- ` Developments in Probabilistic Modelling with Neural Networks - Ensemble Learning
'.
-
nips.ps.gz.
| PDF |
DJVU |
abstract
| ps mirror, Canada |
- `Ensemble Learning and Evidence Maximization'.
-
ensemblePaper.ps.gz.
| PDF |
| DJVU |
abstract. | <- UK | Canada -> | ensemblePaper.ps.gz.
abstract.
- ` Ensemble Learning for Hidden Markov Models
'.
-
vgc.ps.gz.
| PDF |
| DJVU |
abstract. | <- UK | Canada -> | vgc.ps.gz.
abstract.
- ` Variational Gaussian Process Classifiers
'.
With M.N. Gibbs.
-
minima.ps.gz.
minima.pdf.
| minima.DJVU.
abstract. | <- UK | Canada -> | minima.ps.gz.
minima.pdf.
| minima.DJVU.
abstract.
- ` A Problem with Variational Free Energy Minimization
'. (first published Sat 23/6/01)
-
compact.ps.gz.
compact.pdf.
abstract. | <- UK | Canada -> | compact.ps.gz.
compact.pdf.
abstract.
- ` Compactness of variational approximations
'.
By
David J C MacKay, Richard Turner, and
Maneesh Sahani
|
-
abstract.
| <- UK | Canada -> |
gpros.ps.gz .
abstract.
- ` Efficient implementation of Gaussian
processes.
'.
With M.N. Gibbs. Draft paper. was `Efficient methods for Interpolation with Gaussian Processes'
See also Mark's Gaussian
process web site
-
vgc.ps.gz.
| PDF |
| DJVU |
abstract. | <- UK | Canada -> | vgc.ps.gz.
abstract.
- ` Variational Gaussian Process Classifiers
'.
With M.N. Gibbs.
See also Mark's Gaussian
process web site
-
gp.ps.gz.
| PDF |
| DJVU |
abstract. | <- UK | Canada -> | gp.ps.gz.
abstract.
- ` Gaussian Processes
- A Replacement for Supervised Neural Networks?'.
Lecture notes for a tutorial at NIPS 1997.
More about Gaussian processes.
-
gpB.ps.gz.
| PDF |
| DJVU |
abstract. | <- UK | Canada -> | gpB.ps.gz.
abstract.
- ` Introduction to Gaussian Processes
'.
This is a later version of the above lecture notes,
to appear in proceedings of a NATO school.
|
(see also the ICA & Latent Variable Models page)
- lang4.ps.gz,
| PDF |
| DJVU |
abstract
| ps mirror, Canada |
- `A Hierarchical Dirichlet Language Model.' with L.Peto
-
amino.ps.gz.
| PDF |
| DJVU |
abstract. | <- UK | Canada -> | amino.ps.gz.
abstract.
- ` Models for Dice Factories and Amino Acid Probabilities.
'. (Unfinished technical report from 1994; this work led to
my work on density networks for protein sequences.)
Also, an unfinished addendum,
amino_is.ps.gz.
| PDF |
| DJVU |
-
jordan.ps.gz.
abstract. | <- UK | Canada -> | jordan.ps.gz.
| PDF |
| DJVU |
abstract.
- ` Equivalence of Linear Boltzmann Chains and Hidden Markov Models
'.
-
ensemblePaper.ps.gz.
abstract. | <- UK | Canada -> | ensemblePaper.ps.gz.
| PDF |
| DJVU |
abstract.
- ` Ensemble Learning for Hidden Markov Models
'.
-
ch_learning.ps.gz.
abstract. | <- UK | Canada -> | ch_learning.ps.gz.
| PDF |
| DJVU |
abstract.
- ` Bayesian Neural Networks and Density Networks
'.
- density.ps.gz,
| PDF |
| DJVU |
abstract
| ps mirror, Canada |
- `Density Networks and their application to
Protein Modelling'
(this version appeared in Maximum Entropy Proceedings)
-
density97.ps.gz.
| PDF |
| DJVU |
abstract. | <- UK | Canada -> | density97.ps.gz.
abstract.
- D. MacKay and M. Gibbs (1997): ` Density Networks '. (this version in proceedings of Edinburgh meeting, ed. Jim Kay)
|
- nn_im_decon.ps.gz,
| PDF |
| DJVU |
abstract
| ps mirror, Canada |
- `Neural Network Image Deconvolution',
by
John E. Tansley, Martin J. Oldfield and
David J.C. MacKay
- radar3.ps.gz.
| PDF |
| DJVU |
abstract
| ps mirror, Canada |
- `Bayesian analysis of linear phased-array radar'
by A.G. Green and
D.J.C. MacKay.
- i3.ps.gz (494K).
| PDF |
| DJVU |
abstract
| ps mirror, Canada |
- A. Barnett and D. MacKay: `Bayesian Comparison of Models for Images'.
-
newint.ps.gz.
| PDF |
| DJVU |
abstract. | <- UK | Canada -> | newint.ps.gz.
abstract.
- D. MacKay and R. Takeuchi:
`Interpolation models with multiple hyperparameters'.
(Published in Statistics and Computing)
-
The spatial arrangement of cones in the fovea: Bayesian
analysis
(unpublished research note, 25.3.1993, discussing data
of Mollon and Bowmaker - Are cones arranged randomly in the retina?)
-
(7 pages) cones.ps
|
cones.pdf
shuffle.ps.gz.
| PDF |
| DJVU |
abstract. | <- UK | Canada -> | shuffle.ps.gz.
abstract.
` A Comment on Data Shuffling
'.
by David J. C. MacKay, Christopher deCharms and Virginia R. de Sa.
-
cnssumm.ps.gz.
| PDF | <- UK | USA -> |
| DJVU | <- UK | USA -> |
Ginny's site |
Old draft:
bridge.ps.gz.
abstract. | <- UK | Canada -> | bridge.ps.gz.
abstract.
- ` Model fitting as an Aid to Capacitance Compensation and
Bridge Balancing in Neuronal Recording
'.
by David J. C. MacKay and Virginia R. de Sa. - Publication details:
de Sa, V.R., & MacKay, D.J.C. (2001). Model fitting as an Aid to Bridge Balancing in Neuronal Recording. Neurocomputing (special issue devoted to Proceedings of the CNS 2000 meeting) Vol38-40, 1651-1656.
Time-warp-invariant computation with action potentials: Deductions about the Hopfield-Brody Mouse
by David MacKay and Seb Wills
In December 2000, the Inference Group won Hopfield and Brody's
`mouse brain' competition.
|
-
dynet.ps.gz.
| PDF |
| DJVU |
| <- UK | Canada -> | dynet.ps.gz. | Abstract (in Germany)
- ` A Recurrent Neural Network for Modelling Dynamical Systems
'.
by Coryn A.L. Bailer-Jones, David J.C. MacKay, Philip J. Withers
Papers for which postscript files are not available here, but may be available in Materials Science
H.K.D.H. Bhadeshia, D.J.C. MacKay, and L.E. Svensson.
Impact toughness of C-MN steel arc welds - Bayesian neural
network analysis.
Materials Science and Technology, 11(10):1046-1051, 1995.
L.Gavard, H.K. D.H. Bhadeshia, D.J.C. MacKay, and S.Suzuki.
Bayesian neural network model for austenite formation in steels.
Materials Science and Technology, pages 453-463, 1996.
H.Fujii, D.J.C. MacKay, and H.K. D.H. Bhadeshia.
Bayesian neural network analysis of fatigue crack growth rate in
nickel base superalloys.
ISIJ International, 36(11):1373-1382, 1996.
T.Cool, H.K.D.H. Bhadeshia, and D.J.C. MacKay.
The yield and ultimate tensile strength of steel welds.
Materials Science and Engineering A, A223:186-200, 1997.
J.Jones, J.King, H.K.D.H. Bhadeshia, and D.J.C. MacKay.
Modelling the strength of Nickel base superalloys.
3rd International Parsons Turbine Conference,
1995.
T.Cool, H.K.D.H. Bhadeshia, and D.J.C. MacKay.
Modelling the mechanical properties in the HAZ of power plant
steels i: Bayesian neural network analysis of proof strength.
In H.Cerjak, editor, Mathematical Modelling of Weld Phenomena
3, Materials Modelling Series, pages 403-442. Institute of Materials,
London, 1997.
D.J.C. MacKay.
Bayesian non-linear modelling with neural networks.
In H.Cerjak, editor, Mathematical Modelling of Weld Phenomena
3, Materials Modelling Series, pages 359-389. Institute of Materials,
London, 1997.
A.Y. Badmos, H.K.D.H. Bhadeshia, and D.J.C. MacKay.
Neural network models for the tensile properties of mechanically
alloyed ODS iron-alloys. Materials Science and Engineering A.
Accepted for publication, 1997.
F. Brun, T. Yoshida, J. D. Robson, V. Narayan,
H.K.D.H. Bhadeshia and D. J. C. MacKay.
Theoretical Design of Creep Resistant Steels. 1997 (Submitted).
And many more....
|
Decision theory
- _decision.ps |
pdf
| DJVU
- Decision theory - a simple example
Reinforcement learning
-
RLcoin.ps.gz.
RLcoin.pdf.
abstract. | <- UK | Canada -> | RLcoin.ps.gz.
RLcoin.pdf.
abstract.
- ` Solution of a Toy Problem by Reinforcement Learning
'.
Fair Elections
-
I26P3.pdf |
abstract
-
Probabilistic electoral methods, representative probability, and maximum entropy.
Roger Sewell, David MacKay, Iain McLean
This paper was accepted (Dec 2008) for publication in
Voting Matters.
The published paper (Issue 26, January 2009) is available as a pdf file.
| abstract
[This paper was formerly titled 'A maximum entropy approach to fair elections'
RFSpdf.pdf (sorry, no longer available online)]
|
My main work in HCI has been on Dasher.
-
Dasher - a Data Entry Interface
Using Continuous Gestures and Language
Models
- by David J Ward, Alan F Blackwell and David J C MacKay
-
Abstract |
Compressed postscript file.
|
PDF
|
-
eyeshortpaper.ps.gz.
eyeshortpaper.pdf.
| eyeshortpaper.DJVU.
abstract. | <- UK | Canada -> | eyeshortpaper.ps.gz.
eyeshortpaper.pdf.
| eyeshortpaper.DJVU.
abstract.
- ` Hands-free Text Entry using
Inverse Arithmetic Coding with an Eyetracker
'.
-
eyeflyer.ps.gz.
eyeflyer.pdf.
| eyeflyer.DJVU.
abstract. | <- UK | Canada -> | eyeflyer.ps.gz.
eyeflyer.pdf.
| eyeflyer.DJVU.
abstract.
- ` Hands-free Text Entry using Dasher
with an Eye-tracker
'.
One-page flyer by David J. Ward and David J.C. MacKay.
-
dasherButtons.ps.gz.
dasherButtons.pdf.
abstract. | <- UK | Canada -> | dasherButtons.ps.gz.
dasherButtons.pdf.
abstract.
- ` Efficient communication through one or two buttons
'.
by David MacKay, Chris Ball, and Mick Donegan.
-
dasherBreath.ps.gz.
dasherBreath.pdf.
abstract. | <- UK | Canada -> | dasherBreath.ps.gz.
dasherBreath.pdf.
abstract.
- ` Efficient communication by breathing
'.
by Tom H. Shorrock,
David J.C. MacKay,
and
Chris J. Ball
Published in The Sheffield Machine Learning
Workshop, LNCS 3635 (c) Springer Verlag
-
OneButton.ps.gz.
OneButton.pdf.
abstract. | <- UK | Canada -> | OneButton.ps.gz.
OneButton.pdf.
abstract.
- ` Dasher's One-button Dynamic Mode -- Theory and Preliminary Results
'. by
David J.C. MacKay
and
Chris J. Ball
-
buttondasher2b.pdf.
- ` Efficient Communication Through The Timings of
One Or Two Buttons
'. by
JAMES M. G. MEAD
and
PHILIP J. COWANS
and
DAVID J. C. MACKAY
-
OneButton2.ps.gz.
OneButton2.pdf.
abstract. | <- UK | Canada -> | OneButton2.ps.gz.
OneButton2.pdf.
abstract.
- ` Another One-button Dynamic Mode for Dasher: `Two-click mode' (2007)
'.
-
Korean.pdf.
Korean.ps.gz.
-
Dasher in Korean - a six-page paper by David MacKay.
Dasher - an
efficient writing system for brain-computer interfaces? (pdf), S. A. Wills and
David J. C. MacKay. IEEE
Transactions on Neural Systems and Rehabilitation Engineering 14 (2),
244-246 (2006). [see also the brain dasher page]
David Ward's Dasher site
and
experimental results
|
Tapir - a free disambiguating keyboard
|
Disambiguating keyboards
- A note about the iTap / T9 text-to-numbers code
-
-
Can Reduced-keyboard disambiguating text-entry handle spelling errors?
- notes by David MacKay and Dale Grover
-
|
-
Dasher - a Data Entry Interface
Using Continuous Gestures and Language
Models
- by David J Ward, Alan F Blackwell and David J C MacKay
Existing devices for communicating information to computers are
bulky, slow to use, or unreliable. Dasher is a new interface
incorporating language modelling and driven by continuous
two-dimensional gestures, e.g. a mouse, touchscreen, or
eye-tracker. Tests have shown that this device can be used to enter
text at around 25 words per minute, compared with typical ten-finger
keyboard typing of 40 - 60 words per minute.
Although the
interface is slower than a conventional keyboard, it is small and
simple, and could be used on personal data assistants and by
handicapped computer users.
In UIST 2000: The 13th Annual ACM Symposium
on User Interface Software and Technology
Compressed postscript file.
|
PDF
|
Mastercopy of
Abstract
|
-
Analysis of Linsker's simulations of Hebbian rules.
(D. J. C. MacKay and K. D. Miller)
- Network 1,
257-298.
[pdf file]
Here is a
text-only version of this paper (postscript). Here is a
tar file of gzip-ed tiff or postscript files of the figures.
More information.
- The Role of Constraints in Hebbian Learning.
(Kenneth D. Miller and David J.C. MacKay)
-
More information and pointers to a technical report. postscript (UCSF,USA) | postscript (Cambridge,UK).
- Hyperacuity and Coarse Coding - a short paper that I never got
round to publishing
- postscript
| PDF |
| DJVU |
| dvi
| Abstract |
| ps mirror, Canada
| dvi mirror, Canada |
-
timing.ps.gz. | <- UK | Canada -> |
| PDF |
| DJVU |
timing.ps.gz.
- ` Associative memory using action potential timing
'.
Roland Muller, David MacKay and Andreas Herz
-
advance.ps.gz.
| PDF |
| DJVU |
abstract. | <- UK | Canada -> | advance.ps.gz.
abstract.
- ` Time Warp Invariance by Recoding Time Delays into Time Delays
'.
Unpublished research note, March 1996.
-
spike_inf.ps.gz.
| PDF |
| DJVU |
abstract. | <- UK | Canada -> | spike_inf.ps.gz.
abstract.
- ` Hierarchical Odor or Speech Recognition - Bayesian Inference embodied in Neuronal Spikes
'.
Unpublished research note, March 1996.
- Computation with
action potentials: Deductions about the Hopfield-Brody Mouse (html document)
- David MacKay and research group.
October 2000.
See also the Neuroscience Data Analysis page.
|
-
gene.ps.gz.
| PDF |
| DJVU |
abstract. | <- UK | Canada -> | gene.ps.gz.
abstract.
- ` Rate of Information Acquisition by a Species subjected to Natural Selection
'.
or, `Why sex is good for your bits'
-
Erg06.ps.gz.
Erg06.pdf.
abstract. | <- UK | Canada -> | Erg06.ps.gz.
Erg06.pdf.
abstract.
- ` Ergodic Pumping:
a mechanism to drive biomolecular conformation changes
'.
by Robert S MacKay and David J C MacKay
Smell
-
Do deuterated molecules smell different?
-
by
Luca Turin and David J.C. MacKay
At this link you can find
a reanalysis of the data of Haffenden et al (2003).
|
A Short LaTeX tutorial
-
A Method of Increasing the Contextual Input to
Adaptive Pattern Recognition Systems,
Technical Report RIPR 1000/14/87,
Research Initiative in Pattern Recognition,
Royal Signals and Radar Establishment,
Malvern, Worcester. WR14 3PS
(My first paper on neural networks.)
- DJVU files:
Readable, but poor quality (130K)
high-resolution version (2M)
zip file containing huge tif images
- connectionsM.ps.gz
| PDF |
|DJVU |
- My first paper on statistics
and neural networks,
Maximum Entropy Connections: Neural Networks,
was published in
Maximum Entropy and Bayesian Methods, Laramie, 1990,
pages 237-244.
I don't have the original postscript, but I have slapped together
the above postscript document (which includes an unnecessary 7 page
bibliography) to preserve the contents of the paper on line.
- A collection of puzzles for Darwin College magazine.
- And a few more puzzles including physics and probability ideas.
-
rectangles.ps.gz.
rectangles.pdf.
html.
abstract. | <- UK | Canada -> | rectangles.ps.gz.
rectangles.pdf.
html.
abstract.
- `Simple Proofs of a Rectangle Tiling Theorem'. (2003)
[Also, a one-page introduction to this
problem is here:
(pdf)
(postscript)]
-
corner.ps.gz.
corner.pdf.
abstract. | <- UK | Canada -> | corner.ps.gz.
corner.pdf.
abstract.
- ` Big Things that Squeeze Round Corners '.
-
conway.ps.gz.
conway.pdf.
abstract. | <- UK | Canada -> | conway.ps.gz.
conway.pdf.
abstract.
- I edited a 15-page book chapter, `The Power of Mathematics', by John Conway.
(Another site with a lecture by Conway)
- Codes
- A note about the iTap / T9 text-to-numbers code
- Games
- Bao: An illustration of what research in theoretical physics
is like
-
`The pope is (probably) not an alien' | <- UK | Canada -> |
html
- With Sean Eddy
-
euro.ps.gz.
euro.pdf.
| euro.DJVU.
abstract. | <- UK | Canada -> | euro.ps.gz.
euro.pdf.
| euro.DJVU.
abstract.
- Belgian euro coins: 140 heads in 250 tosses -- suspicious?
Teaching methods
-
exams.ps.gz.
exams.pdf.
abstract. | <- UK | Canada -> | exams.ps.gz.
exams.pdf.
abstract.
- ` Everyone Should Get an A
'.
Number theory (not a highly recommended paper!)
-
sumsquares.ps.gz.
sumsquares.pdf.
| sumsquares.DJVU.
abstract. | <- UK | Canada -> | sumsquares.ps.gz.
sumsquares.pdf.
| sumsquares.DJVU.
abstract.
- ` Numbers that are Sums of Squares in Several Ways
'.
by David MacKay and Sanjoy Mahajan
(Not a highly recommended paper as it was written with no knowledge of number theory)
|
Book recommendations
-
Dr. Tatiania's Sex Advice for All Creation,
by Olivia Judson
-
Teaching Statistics: A Bag of Tricks,
by Andrew Gelman and Deborah Nolan
-
0198572247
-
Data Analysis - A Bayesian Tutorial - Second Edition
by Devinderjit Sivia and John Skilling
-
0198568312
-
Gaussian Processes for Machine Learning
by Carl Edward Rasmussen and Christopher K. I. Williams
0-262-18253-X
-
published by
MIT press.
Order from
|amazon.co.uk/.com
|
Books written or edited by David MacKay
-
Power
Edited by Alan Blackwell and David MacKay
(ISBN: 0521823773 | ISBN-13:9780521823777)
Price: £25.00 from |CUP UK/USA| |amazon.co.uk/.com/.ca/.co.jp|
|Barnes and Noble USA |
-
Information Theory, Inference, and Learning Algorithms
by David J. C. MacKay
-
|amazon.co.uk/.com/.ca/.co.jp| |Barnes & Noble
Related books
-
Probability and Computing: Randomized Algorithms and Probabilistic Analysis
by
Michael Mitzenmacher and Eli Upfal
amazon.co.uk /
.com
-
Probability Theory: The Logic of Science
by
E T Jaynes (G.Larry Bretthorst, Editor)
amazon.co.uk /
.com
|
Note : If you prefer to
get documents by ftp rather than by clicking in a web browser, then
you can get to most of these files by
anonymous ftp to wol.ra.phy.cam.ac.uk, cd pub/www/mackay.
Conversely, if you want to get a document by http rather than by ftp,
change the address from ftp://www.inference.org.uk/pub/www/mackay/blah
to http://www.inference.org.uk/mackay/blah.
- when I logged into your web address as sent, I got a bunch of
nondescript characters which at least my Nestscape 1.12 was not
deciphering.
-
OK - that means that your Netscape doesn't know about
uncompressing files ending in .ps.gz and displaying them with
ghostview. The thing to do in that situation is to select
"Save As file" from the "File" menu, saving to name.ps.gz,
then uncompress (gunzip) it by hand and then view the postscript in your
favourite manner.
Do you have another question about Finding things on our web server?
| or any other topic?
I mirror my archive in Canada thus
- Automatic Relevance Determination (ARD) by MacKay and Neal.
- This paper is not available, and will perhaps never be completed.
But please see pred.ps and network.ps above, and buy Radford Neal's
book (Springer, 1996); all the information is there.
|
The Inference Group is supported by the Gatsby Foundation and by a partnership award from IBM Zurich Research Laboratory David J.C. MacKaySite last modified Wed Nov 12 17:38:44 GMT 2014
|
|