By Elizabeth Karas, Ademir Ribeiro, Claudia Sagastizabal
For fixing nonsmooth convex restricted optimization difficulties, we advise an set of rules which mixes the information of the proximal package deal equipment with the filter out technique for comparing candidate issues. The ensuing set of rules inherits a few beautiful gains from either ways. at the one hand, it permits powerful keep an eye on of the dimensions of quadratic programming subproblems through the compression and aggregation strategies of proximal package deal tools. nevertheless, the filter out criterion for accepting a candidate element because the new iterate is usually more uncomplicated to fulfill than the standard descent situation in package deal tools. a few encouraging initial computational effects also are pronounced.
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Extra resources for A bundle-filter method for nonsmooth convex constrained optimization
MOVE(N,S,E,W,F,G)? E NO BITES AT LOCATION 4 6 TOTAL LBS. THIS TRIP IS 10. SEA GULLS ATE SOME OF YOUR BAIT. CATCH IHLL [lE St1ALLER THIS TRIP . 8 HOURS. MOVE(N,S,E,W,F,B)? S YOU CAUGHT 4 FISH, EACH HEIGHING 15 LBS. AT LOCATION 4 3 TOTAL LBS. THIS TRIP IS 155. YOU CAUGHT A 50 Ul. SHARK. TOTAL LBS. THIS TRIP IS 205. 8 HOURS. t10VE (N , S , E, \1/ , F,[l)? 14 YOU CAUGHT 1 FISH, EACH HEIGIlING 3 L[lS. AT LOCATIorl 3 3 TOTAL L[lS. THIS TRIP IS 208. I-lATER SPOUT DISPLACES YOU. 6 HOURS. MOVE(H,S,E,W,F,B)?
E YOU CAUGHT 4 FISH, EACH WEIQ1ING 2 LBS. AT LOCATIOII 3 3 TOTAL LBS. THIS TRIP IS 10. 4 HOURS. MOVE(N,S,E,W,F,G)? E NO BITES AT LOCATION 4 6 TOTAL LBS. THIS TRIP IS 10. SEA GULLS ATE SOME OF YOUR BAIT. CATCH IHLL [lE St1ALLER THIS TRIP . 8 HOURS. MOVE(N,S,E,W,F,B)? S YOU CAUGHT 4 FISH, EACH HEIGHING 15 LBS. AT LOCATION 4 3 TOTAL LBS. THIS TRIP IS 155. YOU CAUGHT A 50 Ul. SHARK. TOTAL LBS. THIS TRIP IS 205. 8 HOURS. t10VE (N , S , E, \1/ , F,[l)? 14 YOU CAUGHT 1 FISH, EACH HEIGIlING 3 L[lS. AT LOCATIorl 3 3 TOTAL L[lS.
PRINT "CLEAN"; P; "UlS. 2 RETURN PRINT "YOU CAUGHT A 50 LB. " P=P+50 PRINT "TOTAL LBS. THIS TRIP IS"; P; " " RETURN GONE FISHING MODIFICATJONS Minor 1. Grid size -- lines 10, 20 , 440, 630, 720, 810, and 820 2. Maximum probability of catching fish in a square -- line 30 3. Maximum density of fish in a square -- line 40 4. Maximum time of fishing -- line 150 5. Storm probability -- line 330 6. Rating scale -- line 540 r1ajor 1. Catch different kinds of fish, such as , sharks , whales , or mermaids.