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Combination of physics‐based and data‐driven modeling for nonlinear structural seismic response prediction through deep residual learning

Earthquake Engineering & Structural Dynamics, 2023
Despite great progress in seeking accurate numerical approximator to nonlinear structural seismic response prediction using deep learning approaches, tedious training process and large volume of structural response data under earthquakes for training and
Jia Guo, R. Enokida, Dawei Li, K. Ikago
semanticscholar   +1 more source

Conformal Invariance in Physics

Reviews of Modern Physics, 1962
The conformal covariance of certain basic equations of modern physics is shown. This covariance is valid generally only when the requirement of constant rest masses is relaxed. It is necessary that all rest masses transform in a conformally covariant way. (L.T.W.)
Fulton, T., Rohrlich, F., Witten, L.
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Exceptional nexus with a hybrid topological invariant

Science, 2020
When all routes are exceptional The exploration of non-Hermitian physics and parity-time symmetry have provided a route to develop a wealth of exotic physical effects.
Weiyuan Tang   +9 more
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Fitting potential energy surfaces with fundamental invariant neural network. II. Generating fundamental invariants for molecular systems with up to ten atoms.

Journal of Chemical Physics, 2020
Symmetry adaptation is crucial in representing a permutationally invariant potential energy surface (PES). Due to the rapid increase in computational time with respect to the molecular size, as well as the reliance on the algebra software, the previous ...
Rongjun Chen   +3 more
semanticscholar   +1 more source

Physical invariants of biosignatures

Physics Letters A, 1999
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Invariance in Physical Theory

1995
The world is very complicated and it is clearly impossible for the human mind to understand it completely. Man has therefore devised an artifice which permits the complicated nature of the world to be blamed on something which is called accidental and thus permits him to abstract a domain in which simple laws can be found.
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Invariance in elementary particle physics

Reports on Progress in Physics, 1959
An account, as non-technical as possible, is given of the invariance properties that have important applications in elementary particle physics. These can be classified in several ways. Firstly some are related to continuous groups (rotations), others to discrete groups (inversions).
Kemmer, N.   +2 more
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Physics-like invariants for vision

Proceedings of the Workshop on Physics-Based Modeling in Computer Vision, 2002
Unlike geometric invariants, the invariants described here concern the physical processes that form images, involving shading, IR, radar, sonar, etc. The image formed by such a process depends on many variables in addition to the geometry, such as the characteristics of the lighting or other incident radiation, the imaging system, etc.
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Conformal Invariance in Physics

1976
In the last decade mathematical physicists have been especially interested by the group of conformal transformations of space-time — the so-called conformal group. What are the main physical reasons for the increasing interest in such an old subject [1]?
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On the physical implications of gauge invariance

Il Nuovo Cimento A, 1966
Gauge invariance of the equations of motion is analysed along the pattern of Noether's theorem and the physical implications of this invariance property are derived. They are not so strong as usually stated.
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