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| Đường cong học tập (Luật lũy thừa của thực hành)× | Phân tích Dữ liệu Học tập (Learning Analytics)× | Lập trình phi tuyến× | |
|---|---|---|---|
| Lĩnh vực≠ | Phân tích giáo dục | Phân tích giáo dục | Tối ưu hóa |
| Họ≠ | Regression model | Process / pipeline | Process / pipeline |
| Năm ra đời≠ | 1936 | 2011 | 2006 |
| Người khởi xướng≠ | Theodore Wright | George Siemens & Phil Long | Jorge Nocedal & Stephen Wright |
| Loại≠ | Power-law regression model | data-driven educational process pipeline | Continuous mathematical optimization |
| Công trình gốc≠ | Wright, T. P. (1936). Factors affecting the cost of airplanes. Journal of the Aeronautical Sciences, 3(4), 122–128. DOI ↗ | Siemens, G., & Long, P. (2011). Penetrating the fog: Analytics in learning and education. EDUCAUSE Review, 46(5), 30–40. link ↗ | Nocedal, J., & Wright, S. J. (2006). Numerical Optimization (2nd ed.). Springer. ISBN: 978-0-387-30303-1 |
| Tên gọi khác | Power Law of Practice, Experience Curve, Wright's Law, Öğrenme Eğrisi | Educational Data Mining, Academic Analytics, Learning Data Analytics, Öğrenme Analitiği | NLP optimization, Constrained nonlinear optimization, Smooth optimization, Doğrusal olmayan programlama |
| Liên quan | 3 | 3 | 3 |
| Tóm tắt≠ | The 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. | Learning Analytics is the measurement, collection, analysis, and reporting of data about learners and their contexts, with the purpose of understanding and optimizing learning and the environments in which it occurs. Formally introduced by George Siemens and Phil Long in 2011, the approach draws on data generated in digital learning environments to provide educators, institutions, and learners with evidence-based feedback for improving educational outcomes. | 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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