Grph nrl ntwrks (GNN) r spclzd rtfcl nrl ntwrks tht r dsgnd fr tsks whs npts r grphs.
n prmnnt xmpl s mlclr drg dsgn. ch npt smpl s grph rprsnttn f mlcl, whr tms frm th nds nd chmcl bnds btwn tms frm th dgs. n ddtn t th grph rprsnttn, th npt ls nclds knwn chmcl prprts fr ch f th tms. Dtst smpls my ths dffr n lngth, rflctng th vryng nmbrs f tms n mlcls, nd th vryng nmbr f bnds btwn thm. Th tsk s t prdct th ffccy f gvn mlcl fr spcfc mdcl pplctn, lk lmntng . cl bctr.
Th ky dsgn lmnt f GNNs s th s f prws mssg pssng, sch tht grph nds trtvly pdt thr rprsnttns by xchngng nfrmtn wth thr nghbrs. Svrl GNN rchtctrs hv bn prpsd, whch mplmnt dffrnt flvrs f mssg pssng, strtd by rcrsv r cnvltnl cnstrctv pprchs. s f 2022, t s n pn qstn whthr t s pssbl t dfn GNN rchtctrs "gng bynd" mssg pssng, r nstd vry GNN cn b blt n mssg pssng vr stbly dfnd grphs.
n th mr gnrl sbjct f "gmtrc dp lrnng", crtn xstng nrl ntwrk rchtctrs cn b ntrprtd s GNNs prtng n stbly dfnd grphs. cnvltnl nrl ntwrk lyr, n th cntxt f cmptr vsn, cn b cnsdrd GNN ppld t grphs whs nds r pxls nd nly djcnt pxls r cnnctd by dgs n th grph. trnsfrmr lyr, n ntrl lngg prcssng, cn b cnsdrd GNN ppld t cmplt grphs whs nds r wrds r tkns n pssg f ntrl lngg txt.
Rlvnt pplctn dmns fr GNNs ncld ntrl lngg prcssng, scl ntwrks, cttn ntwrks, mlclr blgy, chmstry, physcs nd NP-hrd cmbntrl ptmztn prblms.
pn src lbrrs mplmntng GNNs ncld PyTrch Gmtrc (PyTrch), TnsrFlw GNN (TnsrFlw), Dp Grph Lbrry (frmwrk gnstc), jrph (Ggl JX), nd GrphNrlNtwrks.jl/GmtrcFlx.jl (Jl, Flx).