{\displaystyle \mathrm {LSE} (x_{1},\dots ,x_{n})=\log \left(\exp(x_{1})+\cdots +\exp(x_{n})\right).} The LogSumExp function domain is R n {\displaystyle \mathbb...
7 KB (1,152 words) - 17:21, 23 June 2024
Smooth maximum (section LogSumExp)
Boltzmann distribution. Another smooth maximum is LogSumExp: L S E α ( x 1 , … , x n ) = 1 α log ∑ i = 1 n exp α x i {\displaystyle \mathrm {LSE} _{\alpha...
6 KB (1,073 words) - 08:38, 6 July 2023
\mathbb {R} ^{K},} where the LogSumExp function is defined as LSE ( z 1 , … , z n ) = log ( exp ( z 1 ) + ⋯ + exp ( z n ) ) {\displaystyle \operatorname...
30 KB (4,737 words) - 05:00, 9 July 2024
The multivariable generalization of single-variable softplus is the LogSumExp with the first argument set to zero: L S E 0 + ( x 1 , … , x n ) :=...
17 KB (2,281 words) - 21:10, 5 August 2024
then the exponential function of Y, X = exp(Y) , has a log-normal distribution. A random variable which is log-normally distributed takes only positive...
71 KB (9,576 words) - 13:28, 5 August 2024
Logarithm (redirect from Log (mathematics))
(log multiplication), and takes addition to log addition (LogSumExp), giving an isomorphism of semirings between the probability semiring and the log semiring...
97 KB (11,592 words) - 10:32, 17 August 2024
operation, logadd (for multiple terms, LogSumExp) can be viewed as a deformation of maximum or minimum. The log semiring has applications in mathematical...
6 KB (1,025 words) - 22:15, 28 March 2023
Exponential function (redirect from Exp(x))
function is a mathematical function denoted by f ( x ) = exp ( x ) {\displaystyle f(x)=\exp(x)} or e x {\displaystyle e^{x}} (where the argument x is...
44 KB (5,755 words) - 12:46, 8 July 2024
system Logarithmic scale Logarithmic spiral Logarithmic timeline Logit LogSumExp Mantissa is a disambiguation page; see common logarithm for the traditional...
3 KB (230 words) - 13:14, 17 December 2022