How to get results on higher image resolution

[asrays]

I'm running the predict.py with refinement for object removal. I'm able to successfully run and get good result with image size 256x256 . But when I'm try to get the results on higher resolution say 1024x1024 or more the results are getting compromised. Is there any way to get better results with higher resolution. I'm using lama-fourier model for object removal.

python3 bin/predict.py model.path=$(pwd)/LaMa_models/lama-celeba-hq/lama-fourier indir=$(pwd)/input_256 outdir=$(pwd)/output refine=True