Top suggestions for Optimal Transport ConfoundingExplore more searches like Optimal Transport ConfoundingPeople interested in Optimal Transport Confounding also searched for |
Explore more searches like Optimal Transport
Confounding
+has+fueled+machine+learning+(ML)+across+many+domains.+When+paired+data+measurements+%2524(boldsymbol%7bmu%7d%252C+boldsymbol%7bnu%7d)%2524+are+coupled+to+covariates%252C+a+challenging+conditional+distribution+learning+setting+arises.+Existing+approaches+for+learning+a+%2524textit%7bglobal%7d%2524+transport+map+parameterized+through+a+potentially+unseen+context+utilize+Neural+OT+and+largely+rely+on+Brenier%27s+theorem.+Here%252C+we+propose+a+first-of-its-kind+quantum+computing+formulation+for+amortized+optimization+of+contextualized+transportation+plans.+We+exploit+a+direct+link+between+doubly+stochastic+matrices+and+unitary+operators+thus+unravelling+a+natural+connection+between+OT+and+quantum+computation.+We+verify+our+method+(QontOT)+on+synthetic+and+real+data+by+predicting+variations+in+cell+type+distributions+conditioned+on+drug+dosage.+Importantly+we+conduct+a+24-qubit+hardware+experiment+on+a+task+challenging+for+classical+computers+and+report+a+performance+that+cannot+be+matched+with+our+classical+neural+OT+approach.+In+sum%252C+this+is+a+first+step+toward+learning+to+predict+contextualized+transportation+plans+through+quantum+computing.&cdnurl=https%3a%2f%2fth.bing.com%2fth%2fid%2fR.0d11875a1e6bc16dff937627ad9d9eb1%3frik%3d5q8jB5Rejstr6Q%26pid%3dImgRaw%26r%3d0&exph=630&expw=1200&q=Optimal+Transport+Confounding&FORM=IRPRST&ck=51F75014C680299B4CA5FF17FA2B43EE&selectedIndex=11&itb=0)
Some results have been hidden because they may be inaccessible to you.Show inaccessible results
Feedback
