Your English writing platform
Discover LudwigExact(2)
To solve it exactly per iteration is time consuming, and there is little justification to solve it exactly, especially when the iterative point is far away from the solution set.
As seen from (12), the joint ML problem is a combinatorial problem involving |Ω|2N hypothesis tests, and it is almost impossible to solve it exactly for sufficiently large Ω and N. To solve it efficiently, we propose the following strategy.
Similar(58)
If we cannot solve a problem exactly because it is NP-hard, then we must settle for solving it approximately.
A key property is that convergence to a maximum is achieved even if (13) is not solved exactly: It suffices that ĉℓ is such that Q(ĉℓ|ĉℓ−1)≥ Q(ĉℓ−1|ĉℓ−1), which is easily achieved even by a local optimization algorithm.
In this paper, we develop an approximate core for the MMKP and utilize it to solve the problem exactly.
Traditional mathematics teaching is largely about solving exactly stated problems exactly, yet life often hands us partly defined problems needing only moderately accurate solutions.
In fact, if he is in a real rush to get that reward, he might just take the most beaten path and solve the problem exactly as it has been solved before.
The master equation cannot be solved exactly but it is possible to systematically approximate it by using an expansion in powers of the inverse square root of the volume of the compartments.
It's not surprising that mere approximations are faster to solve, however it's not exactly a fair test since the solution isn't complete.
This problem is easy — just solve exactly as above.
However, many fuzzy initial or boundary value problems could not be solved exactly, sometimes it is even impossible to find their analytical solutions.
Write better and faster with AI suggestions while staying true to your unique style.
Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com