It can be thought of as an intersection point of agreement and disagreement. The convergence threshold parameters are used in iterative algorithms to determine when the algorithm has reached a satisfactory solution.
For example, imagine you have an algorithm that is trying to find the minimum value of a function. The algorithm starts with an initial guess for the minimum value, and then iteratively adjusts the guess until it converges on a solution. The convergence threshold parameter is the criterion used to determine when the algorithm has converted to a satisfactory solution.
The convergence threshold parameter typically specifies a tolerance level, which is the maximum acceptable difference between successive iterations of the algorithm. If the difference between successive iterations falls below the tolerance level, the algorithm is considered to have converged and the solution is accepted.
The choice of convergence threshold parameter can have a significant impact on the performance and accuracy of the algorithm. If the threshold is set too high, the algorithm may converge too quickly and miss the true minimum value. If the threshold is set too low, the algorithm may take too long to converge or may converge to a suboptimal solution.
In practice, the convergence threshold parameter is often determined empirically based on the specific problem being solved and the desired level of accuracy.