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by Sungwoo Park, Frank Pfenning, Sebastian Thrun
In Proceedings of the 2003 ACM SIGPLAN international workshop on Types in languages design and implementation
http://www-2.cs.cmu.edu/~fp/papers/prob03.ps
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Abstract:
Motivated by many practical applications that have to compute in the presence of uncertainty, we propose a monadic probabilistic language based upon the mathematical notion of sampling function. Our language provides a unified representation scheme for probability distributions, enjoys rich expressiveness, and o#ers high versatility in encoding probability distributions. We also develop a novel style of operational semantics called a horizontal operational semantics, under which an evaluation returns not a single outcome but multiple outcomes. We have preliminary evidence that the horizontal operational semantics improves the ordinary operational semantics with respect to both execution time and accuracy in representing probability distributions. Categories and Subject Descriptors
Citations
|
2103
|
A tutorial in hidden Markov models and selected applications in speech recognition
– Rabiner
- 1989
|
|
1876
|
Arti Intelligence: A Modern Approach
– Russell, Norvig
- 1995
|
|
634
|
Condensation – conditional density propagation for visual tracking
– Isard, Blake
- 1998
|
|
565
|
Notions of computation and monads
– Moggi
- 1991
|
|
550
|
Functional Analysis
– Rudin
- 1973
|
|
448
|
Statistical language learning
– Charniak
- 1993
|
|
354
|
Computational Lambda-Calculus and Monads
– Moggi
- 1989
|
|
209
|
Computational complexity of probabilistic Turing machines
– Gill
- 1977
|
|
208
|
A Guide to Simulation
– Bratley, Fox, et al.
- 1987
|
|
171
|
On the representation and estimation of spatial uncertainty
– Smith, Cheeseman
- 1985
|
|
109
|
Probabilistic Non-determinism
– Jones
- 1990
|
|
102
|
A probabilistic powerdomain of evaluations
– Jones, Plotkin
- 1989
|
|
87
|
Semantics of probabilistic programs
– Kozen
- 1981
|
|
48
|
Computational types from a logical perspective
– Benton, Bierman, et al.
- 1998
|
|
47
|
A hidden Markov model that finds genes in E. coli DNA
– Krogh, Mian, et al.
- 1994
|
|
43
|
Propositional lax logic
– Fairtlough, Mendler
- 1997
|
|
32
|
A categorical approach to probability theory
– Giry
- 1980
|
|
32
|
Effective bayesian inference for stochastic programs
– McAllester, Koller, et al.
- 1997
|
|
24
|
Finding genes in human DNA with a hidden Markov model
– Henderson, Salzberg, et al.
- 1997
|
|
23
|
Stochastic processes as concurrent constraint programs
– Gupta, Jagadeesan, et al.
- 1999
|
|
22
|
Stochastic lambda calculus and monads of probability distributions
– Ramsey, Pfeffer
- 2002
|
|
19
|
chain flipping for structure from motion with unknown correspondence
– EM
- 2003
|
|
17
|
Towards programming tools for robots that integrate probabilistic computation and learning
– Thrun
- 2000
|
|
13
|
Statistical Methods for Speech Recognition. Language, speech and communication
– Jelinek
- 1997
|
|
12
|
Monte Carlo localization : Ecient position estimation for mobile robots
– Fox, Burgard, et al.
- 1999
|
|
11
|
Probabilistic LCF
– Saheb-Djahromi
- 1978
|
|
10
|
Controlling E#ects
– Filinski
- 1996
|
|
9
|
Toward general analysis of recursive probability models
– Pless, Luger
- 2001
|
|
8
|
Is robotics going statistics? The field of probabilistic robotics
– Thrun
- 2001
|
|
7
|
Hidden markov model analysis of force torque information in telemanipulation
– Hannaford, Lee
- 1991
|
|
3
|
A judgmental reconstuction of modal logic
– Pfenning, Davies
- 2001
|
|
2
|
IBAL : A probabilistic rational programming language
– Pfeer
- 2001
|
|
1
|
Operational semantics for a modal type system of e#ects
– Harper, Pfenning
- 2003
|