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DakPara t1_iwv089e wrote

So it’s not solved. It is a “closed form approximation”.

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Rakshear OP t1_iwv2t21 wrote

Not solved, but progress to mass utilization.

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DakPara t1_iwvpucd wrote

Agreed.

When I opened the paper, I thought they were talking about an elementary function closed-form solution. I thought “Wow, what math sorcery did they use for that !”. Then I read it and they created a provably tight approximation. Good enough to use and computationally efficient. But not the same as a true math solution.

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a-bosh t1_iwvhmfd wrote

as far as i can tell, they did solve it, which allows for the approximation

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DakPara t1_iwvqgjb wrote

From the paper:

“To approach this problem, we discretize I(s) into piecewise constant segments and obtain the discrete approximation of the integral in terms of the sum of piecewise constant compartments over intervals. This piecewise constant approximation inspired us to introduce an approximate closed-form solution for the integral that is provably tight when the integral appears as the exponent of an exponential decay, which is the case for LTCs. We theoretically justify how this closed-form solution represents LTCs’ ODE semantics and is as expressive (Fig. 1).”

Not quite a math solution, but a great accomplishment if it performs as well as they hope.

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ihateshadylandlords t1_iwuvans wrote

Let’s see where this goes.

!RemindMe 5 years

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TopicRepulsive7936 t1_iwv7asm wrote

Let's see if your passive aggressiveness is ever cured.

!RemindMe 5 million years

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ihateshadylandlords t1_iwv8gi4 wrote

If you’re upset about me making reminders, that’s on you.

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