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The Mathematics of Causal Capacities

Danks, David (2014) The Mathematics of Causal Capacities. In: UNSPECIFIED.

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Abstract

Models based on causal capacities, or independent causal influences/mechanisms, are widespread in the sciences. This paper develops a natural mathematical framework for representing such capacities by extending and generalizing previous results in cognitive psychology and machine learning, based on observations and arguments from prior philosophical debates. In addition to its substantial generality, the resulting framework provides a theoretical unification of the widely-used noisy-OR/AND and linear models, thereby showing how they are complementary rather than competing. This unification helps to explain many of the shared cognitive and mathematical properties of those models.


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Item Type: Conference or Workshop Item (UNSPECIFIED)
Creators:
CreatorsEmailORCID
Danks, Davidddanks@cmu.edu
Keywords: causation; capacity; noisy-or; linear models
Subjects: General Issues > Causation
Specific Sciences > Cognitive Science
Specific Sciences > Psychology
Depositing User: Dr. David Danks
Date Deposited: 03 Nov 2014 13:17
Last Modified: 03 Nov 2014 13:17
Item ID: 11113
Subjects: General Issues > Causation
Specific Sciences > Cognitive Science
Specific Sciences > Psychology
Date: 25 February 2014
URI: https://philsci-archive.pitt.edu/id/eprint/11113

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