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Approximation methods in inductive inference

William R. Moser
1998 Annals of Pure and Applied Logic  
The standard notions of inductive inference carry over as well, with no change in the theory.  ...  Oracle inductive inference is also considered, and we give sufficient conditions under which approximate inference from a generic oracle G is equivalent to approximate inference with only finitely many  ...  Some of these results were announced in [7] . The author wishes to thank his advisor, Doug Cenzer, for his guidance, and Bill Gasarch for his suggestions and comments.  ... 
doi:10.1016/s0168-0072(97)00061-4 fatcat:urkqozsrunew3lctuuor36kl4q


2020 Charles Peirce's Theory of Scientific Method  
Since the method of induction must generally approximate to that truth, that is a sufficient justification for the use of that method, although no definite probability attaches to the inductive conclusion  ...  In the very nature of things, he insists, the method which induction follows must lead to results which approximate the truth indefinitely (2.781). 32 There is no postulate here that future samplings will  ... 
doi:10.1515/9780823285242-005 fatcat:fvkqtrq43vbjxhph5mffsftkl4

Peircean Algebraic Logic and Peirce's Reduction Thesis

Joachim Hereth, Reinhard Pöschel
2011 Semiotica: Journal of the International Association for Semiotic Studies  
We may call this Peirce's error-correcting or self-correcting thesis (SCT): Self-Correcting Thesis SCT: methods for inductive inference in science are error correcting; the justification for inductive  ...  To infer the denial of H0, and infer there is evidence that HRT improves memory, is to make an inference with low severity (approximately 0.36).  ... 
doi:10.1515/semi.2011.050 fatcat:cc754qsw7ffzhja3x6cdxc44ju

Introduction to the Special Topic on Grammar Induction, Representation of Language and Language Learning

Dorota Glowacka, John Shawe-Taylor, Alexander Clark, Colin de la Higuera, Mark Johnson
2011 Journal of machine learning research  
This special topic contains several papers presenting some of recent developments in the area of grammar induction and language learning, as applied to various problems in Natural Language Processing,  ...  Grammar induction refers to the process of learning grammars and languages from data; this finds a variety of applications in syntactic pattern recognition, the modeling of natural language acquisition  ...  Exact inference in ISBNs is not tractable, but two efficient approximations are proposed: a coarse mean-field approximation and a feed-forward neural network approximation.  ... 
dblp:journals/jmlr/GlowackaSCHJ11 fatcat:2v5fi4brozbsdmj5e2jbp6p37a

Decision tree induction systems: A Bayesian analysis

1988 International Journal of Approximate Reasoning  
This paper describes a representation and a set of inference methods that combine logic programming techniques with probabilistic network representations for uncertainty (influence diagrams).  ...  A uniform declarative, first-order knowledge representation is combined with a set of integrated inference procedures for logical, probabilistic, and decision-theoretic reasoning.  ...  Decision tree induction systems are being used for knowledge acquisition. Yet they have been developed without proper regard for the subjective Bayesian theory of inductive inference.  ... 
doi:10.1016/0888-613x(88)90129-6 fatcat:lbillxuurfbzrkyy7j46rnmtiy

Subject index to volume 4, 1990

1990 International Journal of Approximate Reasoning  
499 Approximate reasoning, 47-68 fuzzy implication operator and method-ofcases inference rule, 307~318 Artificial intelligence, 283-306 belief functions and belief maintenance in, 319-322 Assumption-based  ...  truth mainterumce system, Dempster-Shafer theory and, 451-498 Bayes networks, adapting connectionist learning to, 261-282 Bayesian methods, probabilistic inference and, 283-306 Bayesian theory, belief  ...  mathematical model for, 47-68 Fuzzy sets, Optimum method and, 159-181 Independence, belief functions and, 323-362 Inductive inference, maximum entropy and, 183-223 Inexact reasoning, maximum entropy  ... 
doi:10.1016/0888-613x(90)90018-w fatcat:3opxjnbw7vfg5hpfmmgzr4tg5m

Breaking Boundaries Between Induction Time and Diagnosis Time Active Information Acquisition

Ashish Kapoor, Eric Horvitz
2009 Neural Information Processing Systems  
We introduce a model and inferential methods that bridge these phases of analysis into a holistic approach to information acquisition that considers simultaneously the extension of the predictive model  ...  To date, the processes employed for active information acquisition during periods of learning and diagnosis have been considered as separate and have been applied in distinct phases of analysis.  ...  We have the choice of either running loopy belief propagation (BP) for approximate inference on the full graph G F or doing an exact inference on the tree approximation G M I .  ... 
dblp:conf/nips/KapoorH09 fatcat:gfsjbez3x5a4njufjwgwaq7rdu

Simultaneous Measurement of Distance and Thickness of a Thin Metal Plate With an Electromagnetic Sensor Using a Simplified Model

W. Yin, A.J. Peyton, S.J. Dickinson
2004 IEEE Transactions on Instrumentation and Measurement  
This paper presents a simplified model which can describe the inductance change when an air-core coil is placed next to a thin nonmagnetic metallic plate.  ...  Use of this new relationship provides a fast and accurate method to measure the distance and thickness simultaneously.  ...  Simultaneous thickness and lift-offs inferred from a number of measurements are given in Table I , which verified our model and measurement method.  ... 
doi:10.1109/tim.2004.830585 fatcat:jwc2ffuohbannhnuycms2oge5e

A formal theory of inductive inference. Part I

R.J. Solomonoff
1964 Information and Control  
The question of the "validity" of these inductive inference methods is a difficult one. In general, it is impossible to prove that any proposed inductive inference method is "correct."  ...  The induction methods used in the present paper are meant to bypass the explicit formulation of scientific laws, and use the data of the past directly to make inductive inferences about specific future  ... 
doi:10.1016/s0019-9958(64)90223-2 fatcat:cp7tssnvz5crdmpyctxoaaqmd4

Page 48 of The Unitarian Review Vol. 2, Issue 1 [page]

1874 The Unitarian Review  
Again, inference may be either (d) demonstrative, reaching certitude, or (e) probable, approximating more or less to certi- tude, reaching at one end of the scale moral certainty, at the other amounting  ...  By virtue of that method, science,” he declares, ‘‘ has certitude.’’ Now, no such division or contrast in the methods of science and religion exists, I believe.  ... 

Discovering Inductive Bias with Gibbs Priors: A Diagnostic Tool for Approximate Bayesian Inference [article]

Luca Rendsburg, Agustinus Kristiadi, Philipp Hennig, Ulrike von Luxburg
2022 arXiv   pre-print
We investigate a new approach to diagnosing approximate inference: the approximation mismatch is attributed to a change in the inductive bias by treating the approximations as exact and reverse-engineering  ...  We illustrate how the Gibbs prior can be used to discover the inductive bias in a controlled Gaussian setting and for a variety of Bayesian models and approximations.  ...  Contributions • We investigate the novel approach of diagnosing approximate Bayesian inference methods in terms of their inductive bias.  ... 
arXiv:2203.03353v1 fatcat:pl4n4xgml5cblo7jkcbmzhhage

Scientific Reasoning and the Summum Bonum

W. E. Schlaretzki
1960 Philosophy of Science  
Peirce sometimes says of inductions not merely that in the long run the greater number of them are approximately true, but that in the long run they approximate to the truth.  ...  , by faithfully adhering to that mode of inference, we shall, on the whole, approximate to the truth”.  ... 
doi:10.1086/287712 fatcat:euhs2hbzczhtrgzds2ovnxvwza

On Inductive Inference

Tenney L. Davis
1917 The Journal of Philosophy Psychology and Scientific Methods  
we can have no inductive inference and-it is not too much to say it -no scientific method, for most of the methods of reasoning of science may be demonstrated to be consequents of the principle of induction  ...  If, as is the case in the inductive inferences of science, we are interested only in a single character or a single relation which is present or absent throughout the collection, then the approximation  ... 
doi:10.2307/2939927 fatcat:eoxdag2bmfc2polmg7li5r2w5a

Curve Fitting, the Reliability of Inductive Inference, and the Error‐Statistical Approach

Aris Spanos
2007 Philosophy of Science  
, and (ii) the relevant error probabilities can be used to assess the reliability of inductive inference.  ...  The main aim of this paper is to revisit the curve fitting problem using the reliability of inductive inference as a primary criterion for the 'fittest' curve.  ...  In summary, a mathematical approximation method will yield a 'best' curve , but the results in (5)-(7), provide insufficient infor-g (x ; a ) m k LS mation for assessing either (i) its statistical appropriateness  ... 
doi:10.1086/525643 fatcat:5e6weluvbvhfvibzfwg4ljfooa

L'analyse implicative bayésienne : une méthode pour l'étude des dépendances orientées. 1.Données binaires

Jean-Marc Bernard, Camilo Charron
1996 Mathématiques et sciences humaines  
analysis, a method for the study of oriented dependencies.  ...  Mathématiques et sciences humaines Mathematics and social sciences | 1996 Varia L'analyse implicative bayésienne : une méthode pour l'étude des dépendances orientées. 1.Données binaires Bayesian implicative  ...  Does success to test A imply, approximately, success to test B ?  ... 
doi:10.4000/msh.2727 fatcat:lpbvzftgc5ef7oszfgebyc5qkq
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