Recently developed models of decision-making have provided accounts of the cognitive processes underlying choice on tasks where responses can fall along a continuum, such as identifying the color or orientation of a stimulus. Even though nearly all of these models seek to extend diffusion decision processes to a continuum of response options, they vary in terms of complexity, tractability, and their ability to predict patterns of data such as multimodal distributions of responses. We suggest that these differences are almost entirely due to differences in how these models account for the similarity among response options. In this theoretical note, we reconcile these differences by characterizing the existing models under a common framework, where the assumptions about psychological representations of similarity, and their implications for behavioral data (e.g., multimodal responses), are made explicit. Furthermore, we implement a simulation-based approach to computing model likelihoods that allows for greater freedom in constructing and implementing continuous response models. The resulting geometric similarity representation (GSR) can supplement approaches like the circular/spherical diffusion models by allowing them to generate multimodal distributions of responses from a single drift, or simplify models like the spatially continuous diffusion model (SCDM) by condensing their representations of similarity and allowing them to generate simulations more efficiently. To illustrate its utility, we apply this approach to multimodal distributions responses, two-dimensional responses (such as locations on a computer screen), and continuous response options with nontrivial, nonlinear similarity relations between response options. (PsycInfo Database Record (c) 2021 APA, all rights reserved).

中文翻译：

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协调连续选择模型之间的相似性。

最近开发的决策模型提供了对任务选择的认知过程的解释，在这些任务中，响应可以沿着连续体下降，例如识别刺激的颜色或方向。尽管几乎所有这些模型都试图将扩散决策过程扩展到一系列响应选项，但它们在复杂性、易处理性以及预测数据模式（例如响应的多模态分布）的能力方面各不相同。我们认为这些差异几乎完全是由于这些模型如何解释响应选项之间的相似性的差异。在这篇理论笔记中，我们通过在一个共同框架下表征现有模型来调和这些差异，其中关于相似性的心理表征的假设，以及它们对行为数据（例如，多模态反应）的影响，是明确的。此外，我们实施了一种基于模拟的方法来计算模型似然性，从而在构建和实施连续响应模型方面具有更大的自由度。由此产生的几何相似性表示 (GSR) 可以通过允许它们从单个漂移生成响应的多模态分布来补充圆形/球形扩散模型等方法，或者通过压缩它们的相似性表示来简化空间连续扩散模型 (SCDM) 等模型并允许他们更有效地生成模拟。为了说明其效用，我们将这种方法应用于多模态分布响应、二维响应（例如计算机屏幕上的位置）、和响应选项之间具有非平凡非线性相似关系的连续响应选项。（PsycInfo 数据库记录 (c) 2021 APA，保留所有权利）。