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{G}{ustav} Fechner's 1860 delineation of psychophysics, the measurement of sensation in relation to its stimulus, is widely considered to be the advent of modern psychological science. In psychophysics, a researcher parametrically varies…

Computer Vision and Pattern Recognition · Computer Science 2022-07-07 Justin Dulay , Sonia Poltoratski , Till S. Hartmann , Samuel E. Anthony , Walter J. Scheirer

The Weber Fechner Law of psychophysics observes that human perception is logarithmic in the stimulus. We present an algorithm for incorporating the Weber Fechner law into loss functions for machine learning, and use the algorithm to enhance…

Machine Learning · Computer Science 2022-09-09 B. N. Kausik

Even though the phenomenological relations between perception and stimulus have been firmly established, a theoretical argument for Weber's and Fechner's law in terms of relevant models or from statistical physics is largely missing. We…

Statistical Mechanics · Physics 2021-03-17 Christian Maes

Autonomous neural systems must efficiently process information in a wide range of novel environments, which may have very different statistical properties. We consider the problem of how to optimally distribute receptors along a…

Neurons and Cognition · Quantitative Biology 2017-04-04 Marc W. Howard , Karthik H. Shankar

Sensory arrays made of coupled excitable elements can improve both their input sensitivity and dynamic range due to collective non-linear wave properties. This mechanism is studied in a neural network of electrically coupled (e.g. via gap…

Disordered Systems and Neural Networks · Physics 2007-05-23 Mauro Copelli , Antonio C. Roque , Rodrigo F. Oliveira , Osame Kinouchi

Psychophysics try to relate physical input magnitudes to psychological or neural correlates. Microscopic models to account for macroscopic psychophysical laws, in the sense of statistical physics, are an almost unexplored area. Here we…

Adaptation and Self-Organizing Systems · Physics 2020-07-22 Emilio F. Galera , Osame Kinouchi

Shepard's universal law of generalization is a remarkable hypothesis about how intelligent organisms should perceive similarity. In its broadest form, the universal law states that the level of perceived similarity between a pair of stimuli…

Neurons and Cognition · Quantitative Biology 2023-06-16 Raja Marjieh , Nori Jacoby , Joshua C. Peterson , Thomas L. Griffiths

The cognitive frame in which most neuropsychological research on the neural basis of behavior is conducted contains the assumption that brain mechanisms per se fully suffice to explain all psychologically described phenomena. This…

Neurons and Cognition · Quantitative Biology 2007-05-23 J. M. Schwartz , H. P. Stapp , M. Beauregard

Regular physics is unsatisfactory in that it fails to take into consideration phenomena relating to mind and meaning, whereas on the other side of the cultural divide such constructs have been studied in detail. This paper discusses a…

General Physics · Physics 2019-10-28 Brian D. Josephson

Understanding mind-brain-environment relations is one of the key topics in psychology. Kurt Lewin, inspired by theoretical physics, tried to establish topological and vector psychology analyzing patterns of interaction between the…

Neurons and Cognition · Quantitative Biology 2017-11-07 Włodzisław Duch

Human brain response is the overall ability of the brain in analyzing internal and external stimuli in the form of transferred energy to the mind/brain phase-space and thus, making the proper decisions. During the last decade scientists…

Analysis of PDEs · Mathematics 2012-04-04 Hamidreza Namazi , Vladimir V. Kulish

In physics, there is the prevailing intuition that we are part of a unique external world, and that the goal of physics is to understand and describe this world. This assumption of the fundamentality of objective reality is often seen as a…

Quantum Physics · Physics 2019-07-22 Markus P. Mueller

We apply the Weber-Fechner's law, which represents the relation between the magnitude of physical stimulus and the magnitude of psychological sense in human being, to the utility function. We conclude that the utility function of n-types of…

General Physics · Physics 2007-05-23 K. Shigemoto

Our sensory systems transform external signals into neural activity, thereby producing percepts. We are endowed with an intuitive notion of similarity between percepts, that need not reflect the proximity of the physical properties of the…

Neurons and Cognition · Quantitative Biology 2023-06-22 Nicolás Vattuone , Thomas Wachtler , Inés Samengo

Fechner's law and its modern generalizations can be regarded as manifestations of alternative forms of arithmetic, coexisting at stimulus and sensation levels. The world of sensations may be thus described by a generalization of the…

Neurons and Cognition · Quantitative Biology 2017-07-25 Marek Czachor

Even during fixation the human eye is constantly in low amplitude motion, jittering over small angles in random directions at up to 100Hz. This motion results in all features of the image on the retina constantly traversing a number of…

Computer Vision and Pattern Recognition · Computer Science 2025-06-17 David W Arathorn , Josephine C. D'Angelo , Austin Roorda

Any complete theory of physical reality must allow for the ubiquitous phenomenon of subjective experience at some level, or risk being conceptually incoherent. However, as long as the ontological status of subjectivity itself remains…

General Physics · Physics 2007-12-19 Sean Lee

Time perception is crucial for a coherent human experience. As life progresses, our perception of the passage of time becomes increasingly non-uniform, often feeling as though it accelerates with age. While various causes for this…

Neurons and Cognition · Quantitative Biology 2024-11-11 Enric Espel Sanchez

Human similarity judgments are inconsistent with Euclidean, Hamming, Mahalanobis, and the majority of measures used in the extensive literatures on similarity and dissimilarity. From intrinsic properties of brain circuitry, we derive…

Neurons and Cognition · Quantitative Biology 2017-09-27 Antonio M Rodriguez , Richard Granger

Human visual perception is a complex, dynamic and fluctuating process. In addition to the incoming visual stimulus, it is affected by many other factors including temporal context, both external and internal to the observer. In this study…

Neurons and Cognition · Quantitative Biology 2020-07-01 Urit Gordon , Shimon Marom , Naama Brenner
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