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LIBRIS Formathandbok  (Information om MARC21)
FältnamnIndikatorerMetadata
00003409naa a2200469 4500
001oai:DiVA.org:su-211039
003SwePub
008221109s2022 | |||||||||||000 ||eng|
024a https://urn.kb.se/resolve?urn=urn:nbn:se:su:diva-2110392 URI
024a https://doi.org/10.3390/e241014692 DOI
040 a (SwePub)su
041 a engb eng
042 9 SwePub
072 7a ref2 swepub-contenttype
072 7a art2 swepub-publicationtype
100a Hössjer, Ola,d 1964-u Stockholms universitet,Matematiska institutionen4 aut0 (Swepub:su)ohssj
2451 0a A Formal Framework for Knowledge Acquisition :b Going beyond Machine Learning
264 c 2022-10-14
264 1b MDPI AG,c 2022
338 a print2 rdacarrier
520 a Philosophers frequently define knowledge as justified, true belief. We built a mathematical framework that makes it possible to define learning (increasing number of true beliefs) and knowledge of an agent in precise ways, by phrasing belief in terms of epistemic probabilities, defined from Bayes’ rule. The degree of true belief is quantified by means of active information I+: a comparison between the degree of belief of the agent and a completely ignorant person. Learning has occurred when either the agent’s strength of belief in a true proposition has increased in comparison with the ignorant person (I+>0), or the strength of belief in a false proposition has decreased (I+<0). Knowledge additionally requires that learning occurs for the right reason, and in this context we introduce a framework of parallel worlds that correspond to parameters of a statistical model. This makes it possible to interpret learning as a hypothesis test for such a model, whereas knowledge acquisition additionally requires estimation of a true world parameter. Our framework of learning and knowledge acquisition is a hybrid between frequentism and Bayesianism. It can be generalized to a sequential setting, where information and data are updated over time. The theory is illustrated using examples of coin tossing, historical and future events, replication of studies, and causal inference. It can also be used to pinpoint shortcomings of machine learning, where typically learning rather than knowledge acquisition is in focus.
650 7a NATURVETENSKAPx Data- och informationsvetenskap0 (SwePub)1022 hsv//swe
650 7a NATURAL SCIENCESx Computer and Information Sciences0 (SwePub)1022 hsv//eng
650 7a NATURVETENSKAPx Matematik0 (SwePub)1012 hsv//swe
650 7a NATURAL SCIENCESx Mathematics0 (SwePub)1012 hsv//eng
650 7a HUMANIORAx Filosofi, etik och religion0 (SwePub)6032 hsv//swe
650 7a HUMANITIESx Philosophy, Ethics and Religion0 (SwePub)6032 hsv//eng
653 a active information
653 a Bayes' rule
653 a counterfactuals
653 a epistemic probability
653 a learning
653 a justified true belief
653 a knowledge acquisition
653 a replication studies
700a Díaz-Pachón, Daniel Andrés4 aut
700a Rao, J. Sunil4 aut
710a Stockholms universitetb Matematiska institutionen4 org
773t Entropyd : MDPI AGg 24:10q 24:10x 1099-4300
856u https://doi.org/10.3390/e24101469y Fulltext
8564 8u https://urn.kb.se/resolve?urn=urn:nbn:se:su:diva-211039
8564 8u https://doi.org/10.3390/e24101469

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Hössjer, Ola, 19 ...
Díaz-Pachón, Dan ...
Rao, J. Sunil
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NATURAL SCIENCES
NATURAL SCIENCES
and Computer and Inf ...
NATURAL SCIENCES
NATURAL SCIENCES
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Entropy
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