Big file sizes after saving DeNoise edited pictures

Hello. I’m using DeNoise mainly to recover scanned pictures from slides in tif format that already weight about 50 Mb.

As soon as I process them through DeNoise Ai, their size almost double. I tried the stand alone way and the Lightroom plug in method but both of them duplicate the size of the original file (more than 90 Gb).

Is it any way to do it without increasing so much the size of the file?. Thanks. Regards.

I have the same issues with both DeNoiseAI and Sharpen AI, except the my files expand from about 55Mb DNG to to DNG with the size more than 258Mb !!!
If I save the file en TIF, it is even bigger!
I have no idea, why the files get that big - please explain Topaz?