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| 知识追踪× | 非线性规划× | |
|---|---|---|
| 领域≠ | 教育分析 | 优化 |
| 方法族≠ | Machine learning | Process / pipeline |
| 起源年份≠ | 1994 | 2006 |
| 提出者≠ | Albert Corbett & John Anderson | Jorge Nocedal & Stephen Wright |
| 类型≠ | Probabilistic student modeling | Continuous mathematical optimization |
| 开创性文献≠ | 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 |
| 别名 | BKT, Bayesian Knowledge Tracing, Deep Knowledge Tracing, Bilgi İzleme | NLP optimization, Constrained nonlinear optimization, Smooth optimization, Doğrusal olmayan programlama |
| 相关 | 3 | 3 |
| 摘要≠ | 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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