The Concept of Symmetry and the Theory of Perception

Perceptual constancy refers to the fact that the perceived geometrical and physical characteristics of objects remain constant despite transformations of the objects such as rigid motion. Perceptual constancy is essential in everything we do, like recognition of familiar objects and scenes, planning and executing visual navigation, visuomotor coordination, and many more. Perceptual constancy would not exist without the geometrical and physical permanence of objects: their shape, size, and weight. Formally, perceptual constancy and permanence of objects are invariants, also known in mathematics and physics as symmetries. Symmetries of the Laws of Physics received a central status due to mathematical theorems of Emmy Noether formulated and proved over 100 years ago. These theorems connected symmetries of the physical laws to conservation laws through the least-action principle. We show how Noether's theorem is applied to mirror-symmetrical objects and establishes mental shape representation (perceptual conservation) through the application of a simplicity (least-action) principle. This way, the formalism of Noether's theorem provides a computational explanation of the relation between the physical world and its mental representation.

Impact of proprioception on the perceived size and distance of external objects in a virtual action task

Previous research has revealed changes in the perception of objects due to changes of object-oriented actions. In present study, we varied the arm and finger postures in the context of a virtual reaching and grasping task and tested whether this manipulation can simultaneously affect the perceived size and distance of external objects. Participants manually controlled visual cursors, aiming at reaching and enclosing a distant target object, and judged the size and distance of this object. We observed that a visual–proprioceptive discrepancy introduced during the reaching part of the action simultaneously affected the judgments of target distance and of target size (Experiment 1). A related variation applied to the grasping part of the action affected the judgments of size, but not of distance of the target (Experiment 2). These results indicate that perceptual effects observed in the context of actions can directly arise through sensory integration of multimodal redundant signals and indirectly through perceptual constancy mechanisms.

錯視と圏論

Tsuchiya and Saigo (2019) proposed the idea that the category theory is the powerful tool for scientific approach towards the mystery of consciousness. Perception, illusion, and consciousness are closely related, and so they also analyzed how to understand the phenomena in some types of visual illusion in terms of the category theory. In this commentary, I discuss about some perceptual phenomena and their theories, such as visual illusion, perceptual constancy, bistable figures, and ill-posed problem of perception, and the limitation of the current theory. Although the power of category theory in the cognitive science is still unclear, I also discuss the potential of category theory to understand illusion and perception from different viewpoint than the existing theories.

Perceptual Invariance of Words and Other Learned Sounds in Non-human Primates

The ability to invariably identify spoken words and other naturalistic sounds in different temporal modulations and timbres requires perceptual tolerance to numerous acoustic variations. However, the mechanisms by which auditory information is perceived to be invariant are poorly understood, and no study has explicitly tested the perceptual constancy skills of nonhuman primates. We investigated the ability of two trained rhesus monkeys to learn and then recognize multiple sounds that included multisyllabic words. Importantly, we tested their ability to group unexperienced sounds into corresponding categories. We found that the monkeys adequately categorized sounds whose formants were at close Euclidean distance to the learned sounds. Our results indicate that macaques can attend and memorize complex sounds such as words. This ability was not studied or reported before and can be used to study the neuronal mechanisms underlying auditory perception.