I've found this suggestion for v2.0
https://aurora2.pentarch.org/index.php?topic=13020.msg166200#msg166200while I was overthinking about more or less the same item for accuracy of weapons.
No answer to this and no other similar proposal i found.
High speed/high power computing can increase the aiming ability of weapons (turrets, CIWS, STOs) I think.
Using this feature they can perform better and faster calculation of the target future position, and therefore the direction to aim to, increasing the probability that a shot hits the target.
I've done some hypothesis.
The research cost could start at 1,000 (one thousand) research points, then increases e.g. like
RP_lev(X) = RP_lev(1)*(1+int((lev(X)-1)^3)).
While, at each level, the multiplicative factor for the accuracy could be
ACC_lev(X) = int(10,000*(1.2+(1.0025-1.2)/(1+(lev(X)/10)^4)))/10,000
starting from 1.0025 and capped at 1.20 for high levels.
For the first 20 levels, the values from these formulas are:
RP;Acc:
1,000.00;1.0025 - 2,000.00;1.0028 - 9,000.00;1.004 - 28,000.00;1.0074 - 65,000.00;1.0141 - 126,000.00;1.0251 - 217,000.00;1.0407 - 344,000.00;1.0598 - 513,000.00;1.0807 - 730,000.00;1.1012 - 1,001,000.00;1.1198 - 1,332,000.00;1.1357 - 1,729,000.00;1.1487 - 2,198,000.00;1.1592 - 2,745,000.00;1.1674 - 3,376,000.00;1.1738 - 4,097,000.00;1.1788 - 4,914,000.00;1.1828 - 5,833,000.00;1.1859 - 6,860,000.00;1.1883
The mass of the computers should influence the outcome too: the ability of small units (e.g. 50 kg, or 0.001 HS) could be reduced (e.g., dividing this factor by 4 or 5); the listed numbers could be obtained with at least 1 ton (0.2 HS) computer, while large ones (50 or 100 tons, i.e. 1 or 2 HS) could increase it a bit more (30% maximum).
But, as BwenGun said, computers can really be applied to everything in the game: research, factories, tracking stations, shipyards, finance, terraforming, ship components, prisoners interrogation, etc. etc..
Apart coding it, the hard point is the balance of this with the rest of the mechanics in the game.