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Updated: Feb 23, 2026

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Published on: June 3, 2013
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Lawful relation between perceptual bias and discriminability
Xue-Xin Wei1,2,3, Alan A Stocker4,5
1Grossman Center for the Statistics of Mind, Columbia University, New York, NY 10027.
Summary
Human perception involves measuring stimulus discrimination and bias. A new mathematical relation links these measures, suggesting a fundamental law of perception supported by extensive data.
Area of Science:
- Cognitive Neuroscience
- Psychophysics
- Computational Vision
Background:
- Human perception is quantified by discrimination thresholds and perceptual bias.
- Understanding the relationship between these measures is crucial for modeling perception.
Purpose of the Study:
- To identify and validate a mathematical relation between perceptual bias and discriminability.
- To explore the implications of this relation for theories of sensory encoding and decoding.
Main Methods:
- Derivation of a mathematical relation from a theory of optimal encoding and decoding.
- Analysis of existing psychophysical data, including effects of contextual modulation.
Main Results:
- A simple mathematical relation was found between perceptual bias and discriminability as functions of stimulus value.
- This relation is robust and supported by a wide range of empirical psychophysical data.
Conclusions:
- The proposed relation may constitute a fundamental law in human perception.
- Sensory encoding and perceptual decoding processes are computationally optimized and matched.
- These processes are based on shared assumptions about the statistical properties of the sensory environment.
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