Top suggestions for Neural Operators Neuran NetworksExplore more searches like Neural Operators Neuran NetworksPeople interested in Neural Operators Neuran Networks also searched for |
Related Products
Explore more searches like Neural
Operators NeuranNetworks
- 850×1100
+is+a+popular+architecture+that+performs+global+convolutions+in+the+Fourier+space.+However%252C+such+global+operations+are+often+prone+to+over-smoothing+and+may+fail+to+capture+local+details.+In+contrast%252C+convolutional+neural+networks+(CNN)+can+capture+local+features+but+are+limited+to+training+and+inference+at+a+single+resolution.+In+this+work%252C+we+present+a+principled+approach+to+operator+learning+that+can+capture+local+features+under+two+frameworks+by+learning+differential+operators+and+integral+operators+with+locally+supported+kernels.+Specifically%252C+inspired+by+stencil+methods%252C+we+prove+that+we+obtain+differential+operators+under+an+appropriate+scaling+of+the+kernel+values+of+CNNs.+To+obtain+local+integral+operators%252C+we+utilize+suitable+basis+representations+for+the+kernels+based+on+discrete-continuous+convolutions.+Both+these+approaches+preserve+the+properties+of+operator+learning+and%252C+hence%252C+the+ability+to+predict+at+any+resolution.+Adding+our+layers+to+FNOs+significantly+improves+their+performance%252C+reducing+the+relative+L2-error+by+34-72%2525+in+our+experiments%252C+which+include+a+turbulent+2D+Navier-Stokes+and+the+spherical+shallow+water+equations.&cdnurl=https%3a%2f%2fth.bing.com%2fth%2fid%2fR.cd56c9a8a84e3fa0cd4a32e12622f3ce%3frik%3dSefcWz3uf18kYQ%26pid%3dImgRaw%26r%3d0&exph=630&expw=1200&q=Neural+Operators+Neuran+Networks&FORM=IRPRST&ck=BB01CD9D3EC744F91C1C340929174610&selectedIndex=20&itb=0)
Some results have been hidden because they may be inaccessible to you.Show inaccessible results
Feedback