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Krzywa uczenia się (Prawo potęgowe praktyki)×Knowledge Tracing×Programowanie nieliniowe×
DziedzinaAnalityka edukacyjnaAnalityka edukacyjnaOptymalizacja
RodzinaRegression modelMachine learningProcess / pipeline
Rok powstania193619942006
TwórcaTheodore WrightAlbert Corbett & John AndersonJorge Nocedal & Stephen Wright
TypPower-law regression modelProbabilistic student modelingContinuous mathematical optimization
Źródło pierwotneWright, T. P. (1936). Factors affecting the cost of airplanes. Journal of the Aeronautical Sciences, 3(4), 122–128. DOI ↗Corbett, A. T., & Anderson, J. R. (1994). Knowledge tracing: Modeling the acquisition of procedural knowledge. User Modeling and User-Adapted Interaction, 4(4), 253–278. DOI ↗Nocedal, J., & Wright, S. J. (2006). Numerical Optimization (2nd ed.). Springer. ISBN: 978-0-387-30303-1
Inne nazwyPower Law of Practice, Experience Curve, Wright's Law, Öğrenme EğrisiBKT, Bayesian Knowledge Tracing, Deep Knowledge Tracing, Bilgi İzlemeNLP optimization, Constrained nonlinear optimization, Smooth optimization, Doğrusal olmayan programlama
Pokrewne333
PodsumowanieThe learning curve models how performance improves predictably as cumulative experience accumulates. Formalized by Theodore Wright in 1936 using aircraft manufacturing data, it expresses the relationship between the number of practice trials (or production units) and the time or cost per unit as a power-law function. It is widely applied in educational psychology, industrial engineering, health professions training, and human factors research whenever repeated task execution is the mechanism of skill acquisition.Knowledge Tracing (KT) is a student-modeling technique that estimates, at each moment in time, the probability that a learner has mastered a target knowledge component. Introduced by Corbett and Anderson in 1994, the classical Bayesian Knowledge Tracing (BKT) model treats skill acquisition as a two-state Hidden Markov Model driven by four interpretable parameters: prior knowledge, learning rate, slip, and guess. Deep variants (DKT, DKVMN, AKT) later replaced HMMs with recurrent and transformer architectures.Nonlinear programming (NLP) is a branch of mathematical optimization concerned with problems in which the objective function or at least one constraint is nonlinear. Formalized comprehensively by Jorge Nocedal and Stephen Wright in their seminal 2006 text, NLP encompasses gradient-based algorithms — including sequential quadratic programming (SQP), interior-point methods, and quasi-Newton approaches — for finding locally or globally optimal solutions to continuous decision problems arising across engineering, economics, and the physical sciences.
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ScholarGatePorównaj metody: Learning Curve · Knowledge Tracing · Nonlinear Programming. Pobrano 2026-06-17 z https://scholargate.app/pl/compare