Experimenting and theorizing in theory formation
ISMIS '86 Proceedings of the ACM SIGART international symposium on Methodologies for intelligent systems
System identification: theory for the user
System identification: theory for the user
Scientific discovery: computational explorations of the creative process
Scientific discovery: computational explorations of the creative process
On learning arithmetic read-once formulas with exponentiation (extended abstract)
COLT '94 Proceedings of the seventh annual conference on Computational learning theory
Determining Arguments of Invariant Functional Descriptions
Machine Learning
Discovering admissible simultaneous equations of large scale systems
AAAI '98/IAAI '98 Proceedings of the fifteenth national/tenth conference on Artificial intelligence/Innovative applications of artificial intelligence
Discovering Admissible Simultaneous Equation Models from Observed Data
EMCL '01 Proceedings of the 12th European Conference on Machine Learning
Revising Engineering Models: Combining Computational Discovery with Knowledge
ECML '02 Proceedings of the 13th European Conference on Machine Learning
Genetic Programming and Domain Knowledge: Beyond the Limitations of Grammar-Guided Machine Discovery
PPSN VI Proceedings of the 6th International Conference on Parallel Problem Solving from Nature
Automated Discovery: A Fusion of Multidisciplinary Principles
AI '00 Proceedings of the 13th Biennial Conference of the Canadian Society on Computational Studies of Intelligence: Advances in Artificial Intelligence
Toward the Discovery of First Principle Based Scientific Law Equations
Progress in Discovery Science, Final Report of the Japanese Discovery Science Project
Development of SDS2: Smart Discovery System for Simultaneous Equation Systems
DS '98 Proceedings of the First International Conference on Discovery Science
The Melting Pot of Automated Discovery: Principles for a New Science
DS '99 Proceedings of the Second International Conference on Discovery Science
Theory Revision in Equation Discovery
DS '01 Proceedings of the 4th International Conference on Discovery Science
Using Domain Knowledge on Population Dynamics Modeling for Equation Discovery
EMCL '01 Proceedings of the 12th European Conference on Machine Learning
Computer Assisted Discovery of First Principle Equations from Numeric Data (Abstract)
PAKDD '99 Proceedings of the Third Pacific-Asia Conference on Methodologies for Knowledge Discovery and Data Mining
Data mining tasks and methods: Equation fitting: methodology for equation fitting
Handbook of data mining and knowledge discovery
Data mining tasks and methods: Equation fitting: equation finders
Handbook of data mining and knowledge discovery
Integrating Domain Knowledge in Equation Discovery
Computational Discovery of Scientific Knowledge
Communicability Criteria of Law Equations Discovery
Computational Discovery of Scientific Knowledge
SCALETRACK: a system to discover dynamic law equations containing hidden states and chaos
DS'05 Proceedings of the 8th international conference on Discovery Science
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SDS is a discovery system from numeric measurement data. It outperforms the existing systems in every aspect of search efficiency, noise tolerancy, credibility of the resulting equations and complexity of the target system that it can handle. The power of SDS comes from the use of the scale-types of the measurement data and mathematical property of identity by which to constrain the admissible solutions. Its algorithm is described with a complex working example and the performance comparison with other systems are discussed.