Diffusion theory of decision making in continuous report.
Diffusion theory of decision making in continuous report.
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连续报告中决策的扩散理论。
DOI：
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发表时间：
2016
期刊：
影响因子：
--
通讯作者：
Philip L. Smith
中科院分区：
文献类型：
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作者：
Philip L. Smith
提出了一个连续报告任务中决策的扩散模型，在该模型中，工作记忆中一个连续的、循环分布的刺激属性与该属性在刺激显示中的表征相匹配。记忆提取被建模为具有向量值漂移的二维扩散过程，其边界圆代表判决准则。漂移向量的方向和大小分别描述了刺激的一致性及其在记忆中表示的质量。扩散离开盘的点确定属性的报告值，而离开盘的时间确定决定时间。利用Girsanov变换度量定理，得到了决策时间和报告结果的联合分布表达式，使得非零漂移扩散过程的性质可以刻画为欧氏距离Bessel过程的函数。预测报告的精度等于决策标准和漂移幅度的乘积，服从冯·米塞斯分布，与工作记忆文献中关于精度的处理一致。标准和漂移率的试验间变异性分别导致报告准确性和决策时间之间的正向和反向关系，符合并推广了二选一决策的标准扩散模型。二维模型提供了工作记忆精确度的过程描述及其与扩散模型的关系，并通过决策时间的分布提供了一种研究工作记忆特性的新途径。(SqucINFO数据库记录
I present a diffusion model for decision making in continuous report tasks, in which a continuous, circularly distributed, stimulus attribute in working memory is matched to a representation of the attribute in the stimulus display. Memory retrieval is modeled as a 2-dimensional diffusion process with vector-valued drift on a disk, whose bounding circle represents the decision criterion. The direction and magnitude of the drift vector describe the identity of the stimulus and the quality of its representation in memory, respectively. The point at which the diffusion exits the disk determines the reported value of the attribute and the time to exit the disk determines the decision time. Expressions for the joint distribution of decision times and report outcomes are obtained by means of the Girsanov change-of-measure theorem, which allows the properties of the nonzero-drift diffusion process to be characterized as a function of a Euclidian-distance Bessel process. Predicted report precision is equal to the product of the decision criterion and the drift magnitude and follows a von Mises distribution, in agreement with the treatment of precision in the working memory literature. Trial-to-trial variability in criterion and drift rate leads, respectively, to direct and inverse relationships between report accuracy and decision times, in agreement with, and generalizing, the standard diffusion model of 2-choice decisions. The 2-dimensional model provides a process account of working memory precision and its relationship with the diffusion model, and a new way to investigate the properties of working memory, via the distributions of decision times. (PsycINFO Database Record
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