invariance
Americannoun
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invariances
plural
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the property of being invariant or of not being altered by transformations or other operations in mathematics or physics, such as rotation or translation.
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the quality of not being altered by circumstances or of not varying from the norm.
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The property of remaining unchanged regardless of changes in the conditions of measurement. For example, the area of a surface remains unchanged if the surface is rotated in space; thus the area exhibits rotational invariance. In physics, invariance is related to conservation laws. For example, conservation of angular momentum is directly related to rotational invariance (the laws of physics don't depend on the angle of the reference point), conservation of energy is related to invariance over time (the laws of physics remain the same over time), and conservation of momentum is related to invariance over translations through space (the laws of physics don't depend on the position of the reference point). A form of invariance called Lorenz invariance is fundamental to the theory of Special Relativity. Invariance is also called symmetry.
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See also Noether's theorem
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Given this track record, it may seem strange to question Lorentz invariance after more than a century of success.
From Science Daily ● Jan. 8, 2026
This single neuron thus has semantic invariance for the concept of your grandmother.
From Salon ● Mar. 25, 2025
The lower-dimensional theory also had an additional symmetry, called conformal invariance, where the physical laws don’t change for all transformations of spacetime that preserve angles.
From Scientific American ● Nov. 30, 2022
The company is saying, “Amidst all this enthusiasm, what fundamental invariance can you bet on?”
From The Verge ● Mar. 22, 2022
The basic characteristic of a model in PSM is its invariance.
From The Brain, A Decoded Enigma by Dorin Teodor Moisa
"They have learned to be invariant to these particular dimensions in the stimulus space, and it's model-specific, so other models don't have those same invariances."
From Science Daily ● Oct. 16, 2023
"It could also be used to evaluate how idiosyncratic the invariances are within a given model, which could help uncover potential ways to improve our models in the future."
From Science Daily ● Oct. 16, 2023
"The key inference from that is that these models seem to have what we call idiosyncratic invariances," McDermott says.
From Science Daily ● Oct. 16, 2023
The researchers wondered if deep neural networks that are trained to perform classification tasks might develop similar invariances.
From Science Daily ● Oct. 16, 2023
This suggests that these models build up their own idiosyncratic "invariances" -- meaning that they respond the same way to stimuli with very different features.
From Science Daily ● Oct. 16, 2023
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