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%252C+a+prediction+algorithm+that+performs+effective+Bayesian+inference+by+tightly+coupling+the+top-down+(prior)+information+with+the+bottom-up+(data-driven)+procedure+via+joint+diffusion+processes.+We+show+the+effectiveness+of+BDM+on+the+3D+shape+reconstruction+task.+Compared+to+prototypical+deep+learning+data-driven+approaches+trained+on+paired+(supervised)+data-labels+(e.g.+image-point+clouds)+datasets%252C+our+BDM+brings+in+rich+prior+information+from+standalone+labels+(e.g.+point+clouds)+to+improve+the+bottom-up+3D+reconstruction.+As+opposed+to+the+standard+Bayesian+frameworks+where+explicit+prior+and+likelihood+are+required+for+the+inference%252C+BDM+performs+seamless+information+fusion+via+coupled+diffusion+processes+with+learned+gradient+computation+networks.+The+specialty+of+our+BDM+lies+in+its+capability+to+engage+the+active+and+effective+information+exchange+and+fusion+of+the+top-down+and+bottom-up+processes+where+each+itself+is+a+diffusion+process.+We+demonstrate+state-of-the-art+results+on+both+synthetic+and+real-world+benchmarks+for+3D+shape+reconstruction.&cdnurl=https%3a%2f%2fth.bing.com%2fth%2fid%2fR.13c7d6c14f2fed0b2520bfd6d0140177%3frik%3dBXjyvFLCjssUEA%26pid%3dImgRaw%26r%3d0&exph=630&expw=1200&q=Bayesian+Diffusion+Model&FORM=IRPRST&ck=05A262DF160FC1B02488E42208F7A2EB&selectedIndex=18&itb=0)
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