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This all depends a bit on which task we're talking about. But if it's image upscaling, then let me say:
The problem with linear filters is that they don't treat high-contrast edges any differently than smooth areas. If you downscale a "groundtruth" image, then upscale it again, using linear filters, and if you then use PSSR or SSIM to compare the down+upscaled image to the original image, all linear filters produce *very* bad results. So no offense, but IMHO no linear filter is even remotely mathematically accurate, at least when talking about upscaling. If you want accurate results, you need an algorithm which adapts to high contrast edges.
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