CS 188: Artificial Intelligence Fall Announcements
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1 C 188: Atiiil Intllign Fll 007 Ltu : Quu-Bs 8/31/007 Dn Klin UC Bkly Mny slis om it tut Russll o Anw Moo Announmnts Nxt wk Nw oom is 105 Not Gt, stts Tusy Ck w g o stions (nw oming) L Fiy 10m to 5m in o 75 Ln Pyton Com o wtv tims you lik Pojt 1.1 ost y wkn u 9/1 1
2 Agnts tt Pln A Polms Toy Uniom Mtos Dt-Fist Bt-Fist Uniom-Cost Huisti Mtos Gy A* Rlx gnts: Coos tion s on unt t n mmoy My v mmoy o mol o t wol s unt stt Do not onsi t utu onsuns o ti tions Cn lx gnt tionl? Rlx Agnts
3 Gol Bs Agnts Gol-s gnts: Pln Disions s on (yotsiz) onsuns o tions Must v mol o ow t wol volvs in sons to tions Polms A s olm onsists o: A stt s A susso untion N, 1.0 A stt stt n gol tst E, 1.0 A solution is sun o tions wi tnsom t stt stt to gol stt 3
4 Ts N, 1.0 E, 1.0 A s t: Tis is wt i t tt stt t t oot no Ciln oson to sussos Nos ll wit stts, oson to PATH to tos stts Fo most olms, n nv tully uil t wol t o, v to in wys o using only t imotnt ts o t t! tt Gs T s som ig g in wi E stt is no E susso is n outgoing Imotnt: Fo most olms w oul nv tully uil tis g G How mny stts in Pmn? Lugly tiny s g o tiny s olm 4
5 Exml: Romni Anot T : Exn out ossil lns Mintin ing o unxn lns Ty to xn s w t nos s ossil 5
6 Gnl T Imotnt is: Fing Exnsion Exlotion sttgy Dtil suoo is in t ook! Min ustion: wi ing nos to xlo? Exml: T G 6
7 7 tt Gs vs Ts G G G W lmost lwys onstut ot on mn n w onstut s littl s ossil. E NODE in in t s t is n nti PATH in t olm g. Rviw: Dt Fist G G G ttgy: xn st no ist Imlmnttion: Fing is LIFO stk
8 Rviw: Bt Fist ttgy: xn sllowst no ist Imlmnttion: Fing is FIFO uu G Tis G G Algoitm Potis Comlt? Gunt to in solution i on xists? Otiml? Gunt to in t lst ost t? Tim omlxity? omlxity? Vils: n C* s m Num o stts in t olm T vg ning to B (t vg num o sussos) Cost o lst ost solution Dt o t sllowst solution Mx t o t s t 8
9 DF Algoitm DF Dt Fist Comlt Otiml Tim N O(B LMAX ) O(LMAX) N N N Ininit Ininit TART GOAL Ininit ts mk DF inomlt How n w ix tis? DF Wit yl king, DF is omlt. m tis 1 no nos nos m nos Algoitm DF w/ Pt Cking Comlt Otiml Tim Y N O( m+1 ) O(m) Wn is DF otiml? 9
10 BF Algoitm DF BF w/ Pt Cking Comlt Otiml Tim Y N O( m+1 ) O(m) Y N* O( s+1 ) O( s ) s tis 1 no nos nos s nos m nos Wn is BF otiml? Comisons Wn will BF outom DF? Wn will DF outom BF? 10
11 Ittiv Dning Ittiv ning uss DF s suoutin: 1. Do DF wi only ss o ts o lngt 1 o lss. (DF givs u on ny t o lngt ). I 1 il, o DF wi only ss ts o lngt o lss. 3. I il, o DF wi only ss ts o lngt 3 o lss..n so on. Algoitm DF BF ID w/ Pt Cking Comlt Otiml Tim Y N O( m+1 ) O(m) Y N* O( s+1 ) O( s ) Y N* O( s+1 ) O(s) Costs on Ations TART GOAL 1 Noti tt BF ins t sotst t in tms o num o tnsitions. It os not in t lst-ost t. W will uikly ov n lgoitm wi os in t lst-ost t. 11
12 Uniom Cost Exn st no ist: Fing is ioity uu Cost ontous G G G 1 Pioity Quu Rs A ioity uu is t stutu in wi you n inst n tiv (ky, vlu) is wit t ollowing otions:.us(ky, vlu).o() insts (ky, vlu) into t uu. tuns t ky wit t lowst vlu, n movs it om t uu. You n omot o mot kys y stting ti ioitis Unlik gul uu, instions into ioity uu not onstnt tim, usully O(log n) W ll n ioity uus o most ost-snsitiv s mtos. 1
13 Uniom Cost Algoitm DF BF UC w/ Pt Cking Comlt Otiml Tim Y N O( m+1 ) O(m) Y N O( s+1 ) O( s ) Y* Y O(C* C*/ε ) O( C*/ε ) C*/ε tis W ll tlk mo out uniom ost s s ilu ss lt Uniom Cost Polms Rmm: xlos insing ost ontous T goo: UC is omlt n otiml! 1 3 T : Exlos otions in vy ition No inomtion out gol lotion tt Gol 13
14 Bst Fist / Gy Bst Fist / Gy Exn t no tt sms losst Wt n go wong? 14
15 Bst Fist / Gy TART =1 =8 1 8 =5 =4 =11 3 = = =11 =9 GOAL =0 5 =4 5 =6 Bst Fist / Gy A ommon s: Bst-ist tks you stigt to t (wong) gol Wost-s: lik lygui DF in t wost s Cn xlo vyting Cn gt stuk in loos i no yl king Lik DF in omltnss (init stts w/ yl king) 15
16 Gon Wong? Ext Wok? Filu to tt t stts n us xonntilly mo wok. Wy? 16
17 G In BF, o xml, w souln t ot xning t il nos (wy?) G G G Vy siml ix: nv xn no twi Cn tis wk omltnss? Wy o wy not? 17
18 Bst Fist Gy Algoitm Gy Bst-Fist Comlt Otiml Tim Y* N O( m ) O( m ) m Wt o w n to o to mk it omlt? Cn w mk it otiml? Nxt lss! 18
19 19
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