What is partition function
时间: 2024-06-04 15:10:53 浏览: 3
The partition function is a mathematical function that describes the distribution of energy among the different possible states of a system in thermodynamics. It is a fundamental concept used to calculate the thermodynamic properties of a system, such as its internal energy, entropy, and free energy, based on the number of particles, their energy levels, and the temperature of the system. The partition function is typically denoted by the letter Z and can be expressed in various forms, depending on the type of system being studied.
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What is partition function in ML
In machine learning, the partition function is a normalization constant that is used in probabilistic models to ensure that the probabilities computed for each possible outcome sum up to 1. It is also known as the normalizing constant, the Z function, or the evidence. The partition function is calculated by summing up the probabilities of all possible outcomes of a model or distribution, and it is typically used in models such as the Boltzmann machine, the Ising model, and the maximum entropy model. The partition function is an important concept in statistical physics and is used to calculate the thermodynamic properties of physical systems.
partition function
“划分函数”(partition function)是指将一个正整数n划分为若干个正整数之和的 方案数。例如,n=4时,有5种划分方式:4、3+1、2+2、2+1+1、1+1+1+1 。因此,n=4的划分函数为P(4)=5。 划分函数在数学上有着广泛的应用,特别是在组合数学中。
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