Mathematical models of eye movements in reading: a possible role for autonomous saccades
Mathematical models of eye movements in reading: a possible role for autonomous saccades
复制标题
DOI：
10.1007/pl00008001
复制
发表时间：
2001-08-01
影响因子：
1.9
通讯作者：
Kliegl, R
中科院分区：
文献类型：
--
作者：
Engbert, R;Kliegl, R
本文利用半马尔可夫过程精确数值模拟的有效方法研究了阅读中眼动控制的最小模型。当我们阅读文本时，典型的注视序列会形成一个相当复杂的轨迹--几乎就像随机漫步。眼球运动控制的数学模型可以使用几个离散内部状态之间的随机转换规则来解释这种行为，这些状态表示词汇访问和扫视程序的某些阶段的组合。我们表明，实验观察到的固定时间可以解释由驻留时间相关的跃迁概率。具有这种性质的随机过程被称为半马尔可夫过程。对于我们的数值模拟，我们使用的最小过程方法（吉莱斯皮算法），这是一个精确和有效的模拟算法，这类随机过程。在这个数学框架内，我们研究了阅读中眼动和内隐注意转移之间的不同形式的耦合。我们的模型支持自主扫视的存在，即，眼跳的启动并不完全由词汇通达过程决定的假说。
An efficient method for the exact numerical simulation of semi-Markov processes is used to study minimal models of the control of eye movements in reading. When we read a text, typical sequences of fixations form a rather complicated trajectory - almost like a random walk. Mathematical models of eye movement control can account for this behavior using stochastic transition rules between few discrete internal states, which represent combinations of certain stages of lexical access and saccade programs. We show that experimentally observed fixation durations can be explained by residence-time-dependent transition probabilities. Stochastic processes with this property are known as semi-Markov processes. For our numerical simulations we use the minimal process method (Gillespie algorithm), which is an exact and efficient simulation algorithm for this class of stochastic processes. Within this mathematical framework, we study different forms of coupling between eye movements and shifts of covert attention in reading. Our model lends support to the existence of autonomous saccades, i.e., the hypothesis that initiations of saccades are not completely determined by lexical access processes.