Analogy making as amortised model construction

Humans flexibly construct internal models to navigate novel situations. To be useful, these internal models must be sufficiently faithful to the environment that resource-limited planning leads to adequate outcomes; equally, they must be tractable to construct in the first place. We argue that analogy plays a central role in these processes, enabling agents to reuse solution-relevant structure from past experiences and amortise the computational costs of both model construction (construal) and planning. Formalising analogies as partial homomorphisms between Markov decision processes, we sketch a framework in which abstract modules, derived from previous construals, serve as composable building blocks for new ones. This modular reuse allows for flexible adaptation of policies and representations across domains with shared structural essence.

A Data-Centric Approach: Dimensions of Visual Complexity and How to find Them

Understanding how humans perceive visual complexity is a key area of study in visual cognition. Previous approaches to modeling visual complexity have often resulted in intricate, difficult-to-interpret solutions that employ numerous features or sophisticated deep learning architectures. While these complex models achieve high performance on specific datasets, they often sacrifice interpretability, making it challenging to understand the factors driving human perception of complexity. A recent model based on image segmentations showed promise in addressing this challenge; however, it presented limitations in capturing structural and semantic aspects of visual complexity. In this paper, we propose viable and effective features to overcome these shortcomings. Specifically, we develop multiscale features for the structural aspect of complexity, including the Multiscale Sobel Gradient (MSG), which captures spatial intensity variations across scales, and Multiscale Unique Colors (MUC), which quantifies image colorfulness by indexing quantized RGB values. We also introduce a new dataset SVG based on Visual Genome to explore the semantic aspect of visual complexity, obtaining surprise scores based on the element of surprise in images, which we demonstrate significantly contributes to perceived complexity. Overall, we suggest that the nature of the data is fundamental to understanding and modeling visual complexity, highlighting the importance of both structural and semantic dimensions in providing a comprehensive, interpretable assessment. The code for our analysis, experimental setup, and dataset will be made publicly available upon acceptance.