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Conceptfirst-order phase transitions

First-Order Phase Transition

A type of phase transition in which the order parameter of a system jumps discontinuously at a critical point, accompanied by latent heat and hysteresis, with the coexistence of ice and water as a typical example. In attention systems it means that when a control parameter crosses a critical threshold, the system abruptly jumps from one free-energy minimum to another, so a tiny perturbation of parameters can cause a sudden change in inference quality.

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Oct 14

The research identifies the existence of a first-order phase transition in attention mechanisms, where the system can switch between two截然 different phases: a glassy state and a robust inference state.

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Oct 14

A first-order phase transition refers to a type of phase transition in which the system's order parameter undergoes a discontinuous jump at the critical point, accompanied by latent heat and hysteresis phenomena; a typical example is the coexistence of ice and water.

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Oct 14

In an attention system, a first-order phase transition means that when a control parameter such as temperature or the variance of the keys crosses a critical threshold, the system suddenly jumps from one free-energy minimum to another, and the system may exhibit hysteresis—the threshold for degrading from the robust state and the threshold for recovering are not the same.

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