{"id":477408,"date":"2023-08-09T09:14:25","date_gmt":"2023-08-09T09:14:25","guid":{"rendered":""},"modified":"2023-09-05T11:14:40","modified_gmt":"2023-09-05T11:14:40","slug":"hamiltonian-monte-carlo","status":"publish","type":"wiki","link":"https:\/\/oneproxy.pro\/kr\/wiki\/hamiltonian-monte-carlo\/","title":{"rendered":"\ud574\ubc00\ud134 \ubaac\ud14c\uce74\ub97c\ub85c"},"content":{"rendered":"<p>HMC(Hamiltonian Monte Carlo)\ub294 \ubca0\uc774\uc9c0\uc548 \ud1b5\uacc4 \ubc0f \uacc4\uc0b0 \ubb3c\ub9ac\ud559\uc5d0 \uc0ac\uc6a9\ub418\ub294 \uc815\uad50\ud55c \uc0d8\ud50c\ub9c1 \uae30\uc220\uc785\ub2c8\ub2e4. \uace0\uc804 \uc5ed\ud559\uc5d0\uc11c \ud30c\uc0dd\ub41c \uc218\ud559\uc801 \ud2c0\uc778 \ud574\ubc00\ud134 \ub3d9\uc5ed\ud559(Hamiltonian Dynamics)\uc744 \ud65c\uc6a9\ud558\uc5ec \uace0\ucc28\uc6d0 \ud655\ub960 \ubd84\ud3ec\ub97c \ud6a8\uc728\uc801\uc73c\ub85c \ud0d0\uc0c9\ud558\ub3c4\ub85d \uc124\uacc4\ub418\uc5c8\uc2b5\ub2c8\ub2e4. HMC\ub294 \ubb3c\ub9ac\uc801 \uc2dc\uc2a4\ud15c\uc758 \ub3d9\uc791\uc744 \uc2dc\ubbac\ub808\uc774\uc158\ud568\uc73c\ub85c\uc368 Metropolis-Hastings \uc54c\uace0\ub9ac\uc998\uacfc \uac19\uc740 \uae30\uc874 \ubc29\ubc95\uc5d0 \ube44\ud574 \ubcf5\uc7a1\ud55c \uacf5\uac04\uc744 \ud0d0\uc0c9\ud558\ub294 \ub370 \ub354 \ud6a8\uacfc\uc801\uc778 \uc0d8\ud50c\uc744 \uc0dd\uc131\ud569\ub2c8\ub2e4. HMC\uc758 \uc801\uc6a9\uc740 \ucef4\ud4e8\ud130 \uacfc\ud559 \ubc0f \ud504\ub85d\uc2dc \uc11c\ubc84 \uc6b4\uc601\uc744 \ud3ec\ud568\ud55c \ub2e4\uc591\ud55c \ubd84\uc57c\uc5d0\uc11c \uc720\ub9dd\ud55c \uc0ac\uc6a9 \uc0ac\ub840\ub97c \ud1b5\ud574 \uc6d0\ub798 \uc601\uc5ed\uc744 \ub118\uc5b4 \ud655\uc7a5\ub429\ub2c8\ub2e4.<\/p>\n<h2>\ud574\ubc00\ud134 \ubaac\ud14c\uce74\ub97c\ub85c\uc758 \uae30\uc6d0\uacfc \uadf8\uc5d0 \ub300\ud55c \uccab \ubc88\uc9f8 \uc5b8\uae09\uc758 \uc5ed\uc0ac.<\/h2>\n<p>Hamiltonian Monte Carlo\ub294 Simon Duane, Adrienne Kennedy, Brian Pendleton \ubc0f Duncan Roweth\uac00 1987\ub144 &quot;Hybrid Monte Carlo&quot;\ub77c\ub294 \uc81c\ubaa9\uc758 \ub17c\ubb38\uc5d0\uc11c \ucc98\uc74c \uc18c\uac1c\ud588\uc2b5\ub2c8\ub2e4. \uc774 \ubc29\ubc95\uc740 \ucc98\uc74c\uc5d0\ub294 \uc774\ub860 \ubb3c\ub9ac\ud559\uc758 \ud55c \ubd84\uc57c\uc778 \uaca9\uc790\uc7a5 \uc774\ub860\uc5d0\uc11c \uc591\uc790 \uc2dc\uc2a4\ud15c\uc744 \uc2dc\ubbac\ub808\uc774\uc158\ud558\uae30 \uc704\ud574 \uace0\uc548\ub418\uc5c8\uc2b5\ub2c8\ub2e4. \uc54c\uace0\ub9ac\uc998\uc758 \ud558\uc774\ube0c\ub9ac\ub4dc \uce21\uba74\uc740 \uc5f0\uc18d \ubcc0\uc218\uc640 \uc774\uc0b0 \ubcc0\uc218\uc758 \uc870\ud569\uc744 \ub098\ud0c0\ub0c5\ub2c8\ub2e4.<\/p>\n<p>\uc2dc\uac04\uc774 \uc9c0\ub0a8\uc5d0 \ub530\ub77c \ubca0\uc774\uc9c0\uc548 \ud1b5\uacc4 \uc5f0\uad6c\uc790\ub4e4\uc740 \ubcf5\uc7a1\ud55c \ud655\ub960 \ubd84\ud3ec\uc5d0\uc11c \uc0d8\ud50c\ub9c1\ud558\ub294 \uc774 \uae30\uc220\uc758 \uc7a0\uc7ac\ub825\uc744 \uc778\uc2dd\ud558\uc5ec &quot;\ud574\ubc00\ud134 \ubaac\ud14c \uce74\ub97c\ub85c&quot;\ub77c\ub294 \uc6a9\uc5b4\uac00 \uc778\uae30\ub97c \uc5bb\uc5c8\uc2b5\ub2c8\ub2e4. 1990\ub144\ub300 \ucd08\ubc18 Radford Neal\uc758 \uae30\uc5ec\ub85c HMC\uc758 \ud6a8\uc728\uc131\uc774 \ud06c\uac8c \ud5a5\uc0c1\ub418\uc5b4 \ubca0\uc774\uc9c0\uc548 \ucd94\ub860\uc744 \uc704\ud55c \uc2e4\uc6a9\uc801\uc774\uace0 \uac15\ub825\ud55c \ub3c4\uad6c\uac00 \ub418\uc5c8\uc2b5\ub2c8\ub2e4.<\/p>\n<h2>\ud574\ubc00\ud134 \ubaac\ud14c\uce74\ub97c\ub85c\uc5d0 \ub300\ud55c \uc790\uc138\ud55c \uc815\ubcf4. \ud574\ubc00\ud134 \ubaac\ud14c\uce74\ub97c\ub85c \uc8fc\uc81c \ud655\uc7a5.<\/h2>\n<p>Hamiltonian Monte Carlo\ub294 \ud45c\uc900 Metropolis-Hastings \uc54c\uace0\ub9ac\uc998\uc5d0 \ubcf4\uc870 \uc6b4\ub3d9\ub7c9 \ubcc0\uc218\ub97c \ub3c4\uc785\ud558\uc5ec \uc791\ub3d9\ud569\ub2c8\ub2e4. \uc774\ub7ec\ud55c \uc6b4\ub3d9\ub7c9 \ubcc0\uc218\ub294 \uc778\uc704\uc801\uc774\uace0 \uc5f0\uc18d\uc801\uc778 \ubcc0\uc218\uc774\uba70 \ubaa9\ud45c \ubd84\ud3ec\uc758 \uc704\uce58 \ubcc0\uc218\uc640\uc758 \uc0c1\ud638 \uc791\uc6a9\uc73c\ub85c \ud558\uc774\ube0c\ub9ac\ub4dc \uc2dc\uc2a4\ud15c\uc774 \uc0dd\uc131\ub429\ub2c8\ub2e4. \uc704\uce58 \ubcc0\uc218\ub294 \ubaa9\ud45c \ubd84\ud3ec\uc5d0\uc11c \uad00\uc2ec \uc788\ub294 \ub9e4\uac1c\ubcc0\uc218\ub97c \ub098\ud0c0\ub0b4\uace0, \uc6b4\ub3d9\ub7c9 \ubcc0\uc218\ub294 \uacf5\uac04 \ud0d0\uc0c9\uc744 \uc548\ub0b4\ud558\ub294 \ub370 \ub3c4\uc6c0\uc774 \ub429\ub2c8\ub2e4.<\/p>\n<p>Hamiltonian Monte Carlo\uc758 \ub0b4\ubd80 \uc791\uc5c5\uc740 \ub2e4\uc74c\uacfc \uac19\uc774 \uc124\uba85\ub420 \uc218 \uc788\uc2b5\ub2c8\ub2e4.<\/p>\n<ol>\n<li>\n<p><strong>\ud574\ubc00\ud134 \uc5ed\ud559:<\/strong> HMC\ub294 \ud574\ubc00\ud134\uc758 \uc6b4\ub3d9 \ubc29\uc815\uc2dd\uc5d0 \uc758\ud574 \uc9c0\ubc30\ub418\ub294 \ud574\ubc00\ud134 \ub3d9\uc5ed\ud559\uc744 \uc0ac\uc6a9\ud569\ub2c8\ub2e4. \ud574\ubc00\ud134 \ud568\uc218\ub294 \uc704\uce58 \uc5d0\ub108\uc9c0(\ubaa9\ud45c \ubd84\ud3ec\uc640 \uad00\ub828\ub428)\uc640 \uc6b4\ub3d9 \uc5d0\ub108\uc9c0(\uc6b4\ub3d9\ub7c9 \ubcc0\uc218\uc640 \uad00\ub828\ub428)\ub97c \uacb0\ud569\ud569\ub2c8\ub2e4.<\/p>\n<\/li>\n<li>\n<p><strong>\ub3c4\uc57d \ud1b5\ud569:<\/strong> \ud574\ubc00\ud134 \ub3d9\uc5ed\ud559\uc744 \uc2dc\ubbac\ub808\uc774\uc158\ud558\uae30 \uc704\ud574 \ub3c4\uc57d \ud1b5\ud569 \ubc29\uc2dd\uc774 \uc0ac\uc6a9\ub429\ub2c8\ub2e4. \uc2dc\uac04 \ub2e8\uacc4\ub97c \uc774\uc0b0\ud654\ud558\uc5ec \ud6a8\uc728\uc801\uc774\uace0 \uc815\ud655\ud55c \uc218\uce58 \uc194\ub8e8\uc158\uc744 \uc81c\uacf5\ud569\ub2c8\ub2e4.<\/p>\n<\/li>\n<li>\n<p><strong>\uba54\ud2b8\ub85c\ud3f4\ub9ac\uc2a4 \uc2b9\uc778 \ub2e8\uacc4:<\/strong> \ud2b9\uc815 \ub2e8\uacc4 \uc218\uc5d0 \ub300\ud574 \ud574\ubc00\ud134 \ub3d9\uc5ed\ud559\uc744 \uc2dc\ubbac\ub808\uc774\uc158\ud55c \ud6c4 Metropolis-Hastings \uc218\uc6a9 \ub2e8\uacc4\uac00 \uc218\ud589\ub429\ub2c8\ub2e4. \uc138\ubd80 \uc794\uc561 \uc870\uac74\uc5d0 \ub530\ub77c \uc81c\uc548\ub41c \uc0c1\ud0dc\ub97c \uc218\ub77d\ud560\uc9c0 \uac70\ubd80\ud560\uc9c0 \uacb0\uc815\ud569\ub2c8\ub2e4.<\/p>\n<\/li>\n<li>\n<p><strong>\ud574\ubc00\ud134 \ubaac\ud14c\uce74\ub97c\ub85c \uc54c\uace0\ub9ac\uc998:<\/strong> HMC \uc54c\uace0\ub9ac\uc998\uc740 \uac00\uc6b0\uc2a4 \ubd84\ud3ec\uc5d0\uc11c \uc6b4\ub3d9\ub7c9 \ubcc0\uc218\ub97c \ubc18\ubcf5\uc801\uc73c\ub85c \uc0d8\ud50c\ub9c1\ud558\uace0 \ud574\ubc00\ud134 \uc5ed\ud559\uc744 \uc2dc\ubbac\ub808\uc774\uc158\ud558\ub294 \uac83\uc73c\ub85c \uad6c\uc131\ub429\ub2c8\ub2e4. \uc2b9\uc778 \ub2e8\uacc4\uc5d0\uc11c\ub294 \uacb0\uacfc \ud45c\ubcf8\uc774 \ubaa9\ud45c \ubd84\ud3ec\uc5d0\uc11c \ucd94\ucd9c\ub418\ub3c4\ub85d \ud569\ub2c8\ub2e4.<\/p>\n<\/li>\n<\/ol>\n<h2>\ud574\ubc00\ud134 \ubaac\ud14c\uce74\ub97c\ub85c\uc758 \uc8fc\uc694 \ud2b9\uc9d5 \ubd84\uc11d.<\/h2>\n<p>Hamiltonian Monte Carlo\ub294 \uae30\uc874 \uc0d8\ud50c\ub9c1 \ubc29\ubc95\uc5d0 \ube44\ud574 \uba87 \uac00\uc9c0 \uc8fc\uc694 \uc774\uc810\uc744 \uc81c\uacf5\ud569\ub2c8\ub2e4.<\/p>\n<ol>\n<li>\n<p><strong>\ud6a8\uc728\uc801\uc778 \ud0d0\uc0c9:<\/strong> HMC\ub294 \ub2e4\ub978 \ub9ce\uc740 MCMC(Markov Chain Monte Carlo) \uae30\uc220\ubcf4\ub2e4 \ubcf5\uc7a1\ud558\uace0 \uace0\ucc28\uc6d0\uc801\uc778 \ud655\ub960 \ubd84\ud3ec\ub97c \ub354 \ud6a8\uc728\uc801\uc73c\ub85c \ud0d0\uc0c9\ud560 \uc218 \uc788\uc2b5\ub2c8\ub2e4.<\/p>\n<\/li>\n<li>\n<p><strong>\uc801\uc751\ud615 \ub2e8\uacc4 \ud06c\uae30:<\/strong> \uc54c\uace0\ub9ac\uc998\uc740 \uc2dc\ubbac\ub808\uc774\uc158 \uc911\uc5d0 \ub2e8\uacc4 \ud06c\uae30\ub97c \uc801\uc751\uc801\uc73c\ub85c \uc870\uc815\ud560 \uc218 \uc788\uc73c\ubbc0\ub85c \uace1\ub960\uc774 \ub2e4\uc591\ud55c \uc601\uc5ed\uc744 \ud6a8\uc728\uc801\uc73c\ub85c \ud0d0\uc0c9\ud560 \uc218 \uc788\uc2b5\ub2c8\ub2e4.<\/p>\n<\/li>\n<li>\n<p><strong>\uc218\ub3d9 \ud29c\ub2dd \uc5c6\uc74c:<\/strong> \uc81c\uc548 \ubd84\ud3ec\ub97c \uc218\ub3d9\uc73c\ub85c \uc870\uc815\ud574\uc57c \ud558\ub294 \uc77c\ubd80 MCMC \ubc29\ubc95\uacfc \ub2ec\ub9ac HMC\ub294 \uc77c\ubc18\uc801\uc73c\ub85c \ub354 \uc801\uc740 \uc218\uc758 \uc870\uc815 \ub9e4\uac1c\ubcc0\uc218\ub97c \ud544\uc694\ub85c \ud569\ub2c8\ub2e4.<\/p>\n<\/li>\n<li>\n<p><strong>\uac10\uc18c\ub41c \uc790\uae30\uc0c1\uad00:<\/strong> HMC\ub294 \uc790\uae30\uc0c1\uad00\uc774 \ub0ae\uc740 \uc0d8\ud50c\uc744 \uc0dd\uc131\ud558\ub294 \uacbd\ud5a5\uc774 \uc788\uc5b4 \ub354 \ube60\ub978 \uc218\ub834\uacfc \ub354 \uc815\ud655\ud55c \ucd94\uc815\uc774 \uac00\ub2a5\ud569\ub2c8\ub2e4.<\/p>\n<\/li>\n<li>\n<p><strong>\ub79c\ub364 \uc6cc\ud06c \ub3d9\uc791 \ubc29\uc9c0:<\/strong> \uae30\uc874 MCMC \ubc29\ubc95\uacfc \ub2ec\ub9ac HMC\ub294 \uacb0\uc815\ub860\uc801 \uc5ed\ud559\uc744 \ud65c\uc6a9\ud558\uc5ec \ud0d0\uc0c9\uc744 \uc548\ub0b4\ud558\uace0 \ubb34\uc791\uc704 \ubcf4\ud589 \ub3d9\uc791\uacfc \uc7a0\uc7ac\uc801\uc778 \ub290\ub9b0 \ud63c\ud569\uc744 \uc904\uc785\ub2c8\ub2e4.<\/p>\n<\/li>\n<\/ol>\n<h2>\ud574\ubc00\ud134 \ubaac\ud14c\uce74\ub97c\ub85c\uc758 \uc720\ud615<\/h2>\n<p>\ud2b9\uc815 \ubb38\uc81c\ub97c \ud574\uacb0\ud558\uac70\ub098 \ud2b9\uc815 \uc2dc\ub098\ub9ac\uc624\uc5d0 \ub300\ud55c \ubc29\ubc95\uc744 \ub9de\ucda4\ud654\ud558\uae30 \uc704\ud574 \uc81c\uc548\ub41c \ud574\ubc00\ud134 \ubaac\ud14c \uce74\ub97c\ub85c\uc758 \uc5ec\ub7ec \ubcc0\ud615 \ubc0f \ud655\uc7a5\uc774 \uc788\uc2b5\ub2c8\ub2e4. \uc8fc\ubaa9\ud560\ub9cc\ud55c HMC \uc720\ud615\uc740 \ub2e4\uc74c\uacfc \uac19\uc2b5\ub2c8\ub2e4.<\/p>\n<table>\n<thead>\n<tr>\n<th><strong>\ud604\ub300\uc790\ub3d9\ucc28\uc758 \uc885\ub958<\/strong><\/th>\n<th><strong>\uc124\uba85<\/strong><\/th>\n<\/tr>\n<\/thead>\n<tbody>\n<tr>\n<td><strong>\uc720\ud134 \uae08\uc9c0 \uc0d8\ud50c\ub7ec(NUTS)<\/strong><\/td>\n<td>NUTS\ub294 \uc2dc\ubbac\ub808\uc774\uc158 \uc911\uc5d0 \ub3c4\uc57d \ub2e8\uacc4 \uc218\ub97c \uc790\ub3d9\uc73c\ub85c \uacb0\uc815\ud558\ub294 HMC\uc758 \ud655\uc7a5\uc785\ub2c8\ub2e4. \uada4\uc801\uc774 \uc720\ud134\ud560 \ub54c \uc2dc\ubbac\ub808\uc774\uc158\uc744 \ub3d9\uc801\uc73c\ub85c \uc911\uc9c0\ud558\uc5ec \ubcf4\ub2e4 \ud6a8\uc728\uc801\uc778 \ud0d0\uc0c9\uc774 \uac00\ub2a5\ud569\ub2c8\ub2e4.<\/td>\n<\/tr>\n<tr>\n<td><strong>\ub9ac\ub9cc\ub2c8\uc548 HMC<\/strong><\/td>\n<td>Riemannian HMC\ub294 HMC \uc54c\uace0\ub9ac\uc998\uc744 \ub2e4\uc591\uccb4\uc5d0 \uc801\uc6a9\ud558\uc5ec \uace1\uc120 \uacf5\uac04\uc5d0 \uc815\uc758\ub41c \ud655\ub960 \ubd84\ud3ec\uc5d0\uc11c \ud6a8\uc728\uc801\uc778 \uc0d8\ud50c\ub9c1\uc744 \uac00\ub2a5\ud558\uac8c \ud569\ub2c8\ub2e4. \uc774\ub294 \ub2e4\uc591\uccb4\uc5d0 \ub300\ud55c \uc81c\uc57d \uc870\uac74\uc774\ub098 \ub9e4\uac1c\ubcc0\uc218\ud654\uac00 \uc788\ub294 \ubca0\uc774\uc9c0\uc548 \ubaa8\ub378\uc5d0 \ud2b9\ud788 \uc720\uc6a9\ud569\ub2c8\ub2e4.<\/td>\n<\/tr>\n<tr>\n<td><strong>\ud655\ub960\uc801 \uadf8\ub77c\ub370\uc774\uc158 HMC<\/strong><\/td>\n<td>\uc774 \ubcc0\ud615\uc740 \ud655\ub960\uc801 \uae30\uc6b8\uae30\ub97c \uc2dc\ubbac\ub808\uc774\uc158\uc5d0 \ud1b5\ud569\ud558\uc5ec \uae30\uacc4 \ud559\uc2b5 \uc751\uc6a9 \ud504\ub85c\uadf8\ub7a8\uc5d0\uc11c \ubc1c\uc0dd\ud558\ub294 \uac83\uacfc \uac19\uc740 \ub300\uaddc\ubaa8 \ubca0\uc774\uc9c0\uc548 \ucd94\ub860 \ubb38\uc81c\uc5d0 \uc801\ud569\ud569\ub2c8\ub2e4.<\/td>\n<\/tr>\n<tr>\n<td><strong>\uc77c\ubc18\ud654\ub41c HMC<\/strong><\/td>\n<td>\uc77c\ubc18\ud654\ub41c HMC\ub294 \ube44-\ud574\ubc00\ud134 \ub3d9\uc5ed\ud559\uc744 \ud3ec\ud568\ud558\ub3c4\ub85d \ubc29\ubc95\uc744 \ud655\uc7a5\ud558\uc5ec \ub354 \ub113\uc740 \ubc94\uc704\uc758 \ubb38\uc81c\uc5d0 \ub300\ud55c \uc801\uc6a9 \uac00\ub2a5\uc131\uc744 \ud655\uc7a5\ud569\ub2c8\ub2e4.<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<h2>\ud574\ubc00\ud134 \ubaac\ud14c\uce74\ub97c\ub85c(Hamiltonian Monte Carlo) \uc0ac\uc6a9\ubc29\ubc95\uacfc \uc0ac\uc6a9\uc5d0 \ub530\ub978 \ubb38\uc81c\uc810 \ubc0f \ud574\uacb0\ubc29\uc548\uc785\ub2c8\ub2e4.<\/h2>\n<p>Hamiltonian Monte Carlo\ub294 \ub2e4\uc74c\uc744 \ud3ec\ud568\ud558\uc5ec \ub2e4\uc591\ud55c \ub3c4\uba54\uc778\uc5d0\uc11c \uc751\uc6a9 \ud504\ub85c\uadf8\ub7a8\uc744 \ucc3e\uc2b5\ub2c8\ub2e4.<\/p>\n<ol>\n<li>\n<p><strong>\ubca0\uc774\uc9c0\uc548 \ucd94\ub860:<\/strong> HMC\ub294 \ubca0\uc774\uc9c0\uc548 \ub9e4\uac1c\ubcc0\uc218 \ucd94\uc815 \ubc0f \ubaa8\ub378 \uc120\ud0dd \uc791\uc5c5\uc5d0 \ub110\ub9ac \uc0ac\uc6a9\ub429\ub2c8\ub2e4. \ubcf5\uc7a1\ud55c \uc0ac\ud6c4 \ubd84\ud3ec\ub97c \ud0d0\uc0c9\ud558\ub294 \ud6a8\uc728\uc131\uc740 \ubca0\uc774\uc9c0\uc548 \ub370\uc774\ud130 \ubd84\uc11d\uc5d0 \ub9e4\ub825\uc801\uc778 \uc120\ud0dd\uc785\ub2c8\ub2e4.<\/p>\n<\/li>\n<li>\n<p><strong>\uae30\uacc4 \ud559\uc2b5:<\/strong> \ubca0\uc774\uc9c0\uc548 \ub525 \ub7ec\ub2dd \ubc0f \ud655\ub960\uc801 \uba38\uc2e0 \ub7ec\ub2dd\uc758 \ub9e5\ub77d\uc5d0\uc11c HMC\ub294 \uc2e0\uacbd\ub9dd \uac00\uc911\uce58\uc758 \uc0ac\ud6c4 \ubd84\ud3ec\uc5d0\uc11c \uc0d8\ud50c\ub9c1\ud558\ub294 \uc218\ub2e8\uc744 \uc81c\uacf5\ud558\uc5ec \uc608\uce21 \ubc0f \ubaa8\ub378 \uad50\uc815\uc758 \ubd88\ud655\uc2e4\uc131 \ucd94\uc815\uc744 \uac00\ub2a5\ud558\uac8c \ud569\ub2c8\ub2e4.<\/p>\n<\/li>\n<li>\n<p><strong>\ucd5c\uc801\ud654:<\/strong> HMC\ub294 \ubaa8\ub378 \ub9e4\uac1c\ubcc0\uc218\uc758 \uc0ac\ud6c4 \ubd84\ud3ec\uc5d0\uc11c \uc0d8\ud50c\ub9c1\ud558\uace0 \ucd5c\uc801\ud654 \ud658\uacbd\uc744 \ud6a8\uacfc\uc801\uc73c\ub85c \ud0d0\uc0c9\ud560 \uc218 \uc788\ub294 \ucd5c\uc801\ud654 \uc791\uc5c5\uc5d0 \ub9de\uac8c \uc870\uc815\ub420 \uc218 \uc788\uc2b5\ub2c8\ub2e4.<\/p>\n<\/li>\n<\/ol>\n<p>HMC \uc0ac\uc6a9\uacfc \uad00\ub828\ub41c \uacfc\uc81c\ub294 \ub2e4\uc74c\uacfc \uac19\uc2b5\ub2c8\ub2e4.<\/p>\n<ol>\n<li>\n<p><strong>\uc870\uc815 \ub9e4\uac1c\ubcc0\uc218:<\/strong> HMC\uc5d0\ub294 \ub2e4\ub978 MCMC \ubc29\ubc95\ubcf4\ub2e4 \ub354 \uc801\uc740 \ud29c\ub2dd \ub9e4\uac1c\ubcc0\uc218\uac00 \ud544\uc694\ud558\uc9c0\ub9cc \uc62c\ubc14\ub978 \ub2e8\uacc4 \ud06c\uae30\uc640 \ub3c4\uc57d \ub2e8\uacc4 \uc218\ub97c \uc124\uc815\ud558\ub294 \uac83\uc740 \ud6a8\uc728\uc801\uc778 \ud0d0\uc0c9\uc744 \uc704\ud574 \uc5ec\uc804\ud788 \uc911\uc694\ud560 \uc218 \uc788\uc2b5\ub2c8\ub2e4.<\/p>\n<\/li>\n<li>\n<p><strong>\uacc4\uc0b0 \uc9d1\uc57d\uc801:<\/strong> \ud574\ubc00\ud134 \ub3d9\uc5ed\ud559\uc744 \uc2dc\ubbac\ub808\uc774\uc158\ud558\ub824\uba74 \ud2b9\ud788 \uace0\ucc28\uc6d0 \uacf5\uac04\uc774\ub098 \ub300\uaddc\ubaa8 \ub370\uc774\ud130 \uc138\ud2b8\uc758 \uacbd\uc6b0 \uacc4\uc0b0 \ube44\uc6a9\uc774 \ub9ce\uc774 \ub4e4 \uc218 \uc788\ub294 \ubbf8\ubd84 \ubc29\uc815\uc2dd\uc744 \ud478\ub294 \uc791\uc5c5\uc774 \ud544\uc694\ud569\ub2c8\ub2e4.<\/p>\n<\/li>\n<li>\n<p><strong>\ucc28\uc6d0\uc758 \uc800\uc8fc:<\/strong> \ubaa8\ub4e0 \uc0d8\ud50c\ub9c1 \uae30\ubc95\uacfc \ub9c8\ucc2c\uac00\uc9c0\ub85c, \ucc28\uc6d0\uc758 \uc800\uc8fc\ub294 \ubaa9\ud45c \ubd84\ud3ec\uc758 \ucc28\uc6d0\uc774 \uc9c0\ub098\uce58\uac8c \ub192\uc744 \ub54c \ubb38\uc81c\ub97c \uc57c\uae30\ud569\ub2c8\ub2e4.<\/p>\n<\/li>\n<\/ol>\n<p>\uc774\ub7ec\ud55c \uacfc\uc81c\uc5d0 \ub300\ud55c \ud574\uacb0\ucc45\uc5d0\ub294 \uc801\uc751\ud615 \ubc29\ubc95 \ud65c\uc6a9, \uc900\ube44 \ubc18\ubcf5 \uc0ac\uc6a9, NUTS\uc640 \uac19\uc740 \ud2b9\uc218 \uc54c\uace0\ub9ac\uc998\uc744 \uc0ac\uc6a9\ud558\uc5ec \ub9e4\uac1c\ubcc0\uc218 \uc870\uc815\uc744 \uc790\ub3d9\ud654\ud558\ub294 \uac83\uc774 \ud3ec\ud568\ub429\ub2c8\ub2e4.<\/p>\n<h2>\uc8fc\uc694 \ud2b9\uc9d5 \ubc0f \uae30\ud0c0 \uc720\uc0ac\ud55c \uc6a9\uc5b4\uc640\uc758 \ube44\uad50\ub97c \ud45c\uc640 \ubaa9\ub85d \ud615\ud0dc\ub85c \uc81c\uacf5\ud569\ub2c8\ub2e4.<\/h2>\n<table>\n<thead>\n<tr>\n<th><strong>\ud2b9\uc131<\/strong><\/th>\n<th><strong>Metropolis-Hastings\uc640\uc758 \ube44\uad50<\/strong><\/th>\n<\/tr>\n<\/thead>\n<tbody>\n<tr>\n<td><strong>\ud0d0\uc0c9 \ud6a8\uc728\uc131<\/strong><\/td>\n<td>HMC\ub294 Metropolis-Hastings\uc758 \ub79c\ub364 \uc6cc\ud06c \ub3d9\uc791\uc5d0 \ube44\ud574 \ub354 \ube60\ub978 \uc218\ub834\uacfc \ub354 \uc815\ud655\ud55c \uc0d8\ud50c\ub9c1\uc744 \ud5c8\uc6a9\ud558\uc5ec \ub354 \ub192\uc740 \ud0d0\uc0c9 \ud6a8\uc728\uc131\uc744 \ub098\ud0c0\ub0c5\ub2c8\ub2e4.<\/td>\n<\/tr>\n<tr>\n<td><strong>\ud29c\ub2dd \ubcf5\uc7a1\uc131<\/strong><\/td>\n<td>HMC\ub294 \uc77c\ubc18\uc801\uc73c\ub85c Metropolis-Hastings\ubcf4\ub2e4 \ub354 \uc801\uc740 \ud29c\ub2dd \ub9e4\uac1c\ubcc0\uc218\ub97c \ud544\uc694\ub85c \ud558\ubbc0\ub85c \uc2e4\uc81c\ub85c \uc0ac\uc6a9\ud558\uae30\uac00 \ub354 \uc27d\uc2b5\ub2c8\ub2e4.<\/td>\n<\/tr>\n<tr>\n<td><strong>\ubcf5\uc7a1\ud55c \uacf5\uac04 \ucc98\ub9ac<\/strong><\/td>\n<td>HMC\ub294 \ubcf5\uc7a1\ud55c \uace0\ucc28\uc6d0 \uacf5\uac04\uc744 \ud6a8\uacfc\uc801\uc73c\ub85c \ud0d0\uc0c9\ud560 \uc218 \uc788\ub294 \ubc18\uba74 Metropolis-Hastings\ub294 \uc774\ub7ec\ud55c \uc2dc\ub098\ub9ac\uc624\uc5d0\uc11c \uc5b4\ub824\uc6c0\uc744 \uacaa\uc744 \uc218 \uc788\uc2b5\ub2c8\ub2e4.<\/td>\n<\/tr>\n<tr>\n<td><strong>\uc790\uae30\uc0c1\uad00<\/strong><\/td>\n<td>HMC\ub294 \uc790\uae30\uc0c1\uad00\uc774 \ub0ae\uc740 \uc0d8\ud50c\uc744 \uc0dd\uc131\ud558\ubbc0\ub85c \uc0d8\ud50c\ub9c1\ub41c \uccb4\uc778\uc758 \uc911\ubcf5\uc131\uc774 \uc904\uc5b4\ub4ed\ub2c8\ub2e4.<\/td>\n<\/tr>\n<tr>\n<td><strong>\ud655\uc7a5\uc131<\/strong><\/td>\n<td>\uace0\ucc28\uc6d0 \ubb38\uc81c\uc758 \uacbd\uc6b0 HMC\ub294 \ud5a5\uc0c1\ub41c \ud0d0\uc0c9 \uae30\ub2a5\uacfc \uac10\uc18c\ub41c \ub79c\ub364 \uc6cc\ud06c \ub3d9\uc791\uc73c\ub85c \uc778\ud574 Metropolis-Hastings\ubcf4\ub2e4 \uc131\ub2a5\uc774 \ub6f0\uc5b4\ub09c \uacbd\ud5a5\uc774 \uc788\uc2b5\ub2c8\ub2e4.<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<h2>\ud574\ubc00\ud134 \ubaac\ud14c\uce74\ub97c\ub85c\uc640 \uad00\ub828\ub41c \ubbf8\ub798\uc758 \uad00\uc810\uacfc \uae30\uc220.<\/h2>\n<p>\ud574\ubc00\ud134 \ubaac\ud14c \uce74\ub97c\ub85c(Hamiltonian Monte Carlo)\ub294 \uc774\ubbf8 \ubca0\uc774\uc9c0\uc548 \ud1b5\uacc4, \uacc4\uc0b0 \ubb3c\ub9ac\ud559 \ubc0f \uae30\uacc4 \ud559\uc2b5 \ubd84\uc57c\uc5d0\uc11c \uadc0\uc911\ud55c \uc0d8\ud50c\ub9c1 \uae30\uc220\uc784\uc774 \uc785\uc99d\ub418\uc5c8\uc2b5\ub2c8\ub2e4. \uadf8\ub7ec\ub098 \ud574\ub2f9 \ubd84\uc57c\uc758 \uc9c0\uc18d\uc801\uc778 \uc5f0\uad6c\uc640 \ubc1c\uc804\uc744 \ud1b5\ud574 \uc774 \ubc29\ubc95\uc758 \uae30\ub2a5\uc774 \uacc4\uc18d\ud574\uc11c \uac1c\uc120\ub418\uace0 \ud655\uc7a5\ub418\uace0 \uc788\uc2b5\ub2c8\ub2e4.<\/p>\n<p>HMC\uc758 \uc720\ub9dd\ud55c \uac1c\ubc1c \uc601\uc5ed\uc740 \ub2e4\uc74c\uacfc \uac19\uc2b5\ub2c8\ub2e4.<\/p>\n<ol>\n<li>\n<p><strong>\ubcd1\ub82c\ud654 \ubc0f GPU:<\/strong> \ubcd1\ub82c\ud654 \uae30\uc220\uacfc \uadf8\ub798\ud53d \ucc98\ub9ac \uc7a5\uce58(GPU)\uc758 \ud65c\uc6a9\uc740 \ud574\ubc00\ud134 \ub3d9\uc5ed\ud559\uc758 \uacc4\uc0b0\uc744 \uac00\uc18d\ud654\ud558\uc5ec HMC\ub97c \ub300\uaddc\ubaa8 \ubb38\uc81c\uc5d0 \ub354 \uc801\ud569\ud558\uac8c \ub9cc\ub4ed\ub2c8\ub2e4.<\/p>\n<\/li>\n<li>\n<p><strong>\uc801\uc751\ud615 HMC \ubc29\ubc95:<\/strong> \uc801\uc751\ud615 HMC \uc54c\uace0\ub9ac\uc998\uc758 \uac1c\uc120\uc73c\ub85c \uc218\ub3d9 \uc870\uc815\uc758 \ud544\uc694\uc131\uc774 \uc904\uc5b4\ub4e4\uace0 \ubcf5\uc7a1\ud55c \ubaa9\ud45c \ubd84\ud3ec\uc5d0 \ub354\uc6b1 \ud6a8\uacfc\uc801\uc73c\ub85c \uc801\uc751\ud560 \uc218 \uc788\uc2b5\ub2c8\ub2e4.<\/p>\n<\/li>\n<li>\n<p><strong>\ubca0\uc774\uc9c0\uc548 \ub525\ub7ec\ub2dd:<\/strong> HMC\ub97c \ubca0\uc774\uc9c0\uc548 \ub525 \ub7ec\ub2dd \ud504\ub808\uc784\uc6cc\ud06c\uc5d0 \ud1b5\ud569\ud558\uba74 \ub354\uc6b1 \uac15\ub825\ud55c \ubd88\ud655\uc2e4\uc131 \ucd94\uc815\uacfc \ub354 \ub098\uc740 \ubcf4\uc815 \uc608\uce21\uc774 \uac00\ub2a5\ud574\uc9d1\ub2c8\ub2e4.<\/p>\n<\/li>\n<li>\n<p><strong>\ud558\ub4dc\uc6e8\uc5b4 \uac00\uc18d:<\/strong> TPU(\ud150\uc11c \ucc98\ub9ac \uc7a5\uce58) \ub610\ub294 \uc804\uc6a9 HMC \uac00\uc18d\uae30\uc640 \uac19\uc740 \ud2b9\uc218 \ud558\ub4dc\uc6e8\uc5b4\ub97c \ud65c\uc6a9\ud558\uba74 HMC \uae30\ubc18 \uc560\ud50c\ub9ac\ucf00\uc774\uc158\uc758 \uc131\ub2a5\uc744 \ub354\uc6b1 \ud5a5\uc0c1\uc2dc\ud0ac \uc218 \uc788\uc2b5\ub2c8\ub2e4.<\/p>\n<\/li>\n<\/ol>\n<h2>\ud504\ub85d\uc2dc \uc11c\ubc84\ub97c \uc0ac\uc6a9\ud558\uac70\ub098 Hamiltonian Monte Carlo\uc640 \uc5f0\uacb0\ud558\ub294 \ubc29\ubc95.<\/h2>\n<p>\ud504\ub85d\uc2dc \uc11c\ubc84\ub294 \uc0ac\uc6a9\uc790\uc640 \uc778\ud130\ub137 \uc0ac\uc774\uc758 \uc911\uac1c\uc790 \uc5ed\ud560\uc744 \ud569\ub2c8\ub2e4. \uc774\ub4e4\uc740 \ub450 \uac00\uc9c0 \uc8fc\uc694 \ubc29\uc2dd\uc73c\ub85c \ud574\ubc00\ud134 \ubaac\ud14c\uce74\ub97c\ub85c\uc640 \uc5f0\uad00\ub420 \uc218 \uc788\uc2b5\ub2c8\ub2e4.<\/p>\n<ol>\n<li>\n<p><strong>\uac1c\uc778 \uc815\ubcf4 \ubcf4\ud638 \ubc0f \ubcf4\uc548 \uac15\ud654:<\/strong> Hamiltonian Monte Carlo\uac00 \ud6a8\uc728\uc801\uc778 \uc0d8\ud50c\ub9c1\uacfc \ubd88\ud655\uc2e4\uc131 \ucd94\uc815\uc744 \ud1b5\ud574 \ub370\uc774\ud130\uc758 \uac1c\uc778 \uc815\ubcf4 \ubcf4\ud638\uc640 \ubcf4\uc548\uc744 \ud5a5\uc0c1\ud560 \uc218 \uc788\ub294 \uac83\ucc98\ub7fc \ud504\ub85d\uc2dc \uc11c\ubc84\ub294 \uc0ac\uc6a9\uc790\uc758 IP \uc8fc\uc18c\ub97c \ub9c8\uc2a4\ud0b9\ud558\uace0 \ub370\uc774\ud130 \uc804\uc1a1\uc744 \uc554\ud638\ud654\ud558\uc5ec \ucd94\uac00 \uac1c\uc778 \uc815\ubcf4 \ubcf4\ud638 \uacc4\uce35\uc744 \uc81c\uacf5\ud560 \uc218 \uc788\uc2b5\ub2c8\ub2e4.<\/p>\n<\/li>\n<li>\n<p><strong>\ub85c\ub4dc \ubc38\ub7f0\uc2f1 \ubc0f \ucd5c\uc801\ud654:<\/strong> \ud504\ub85d\uc2dc \uc11c\ubc84\ub97c \ud65c\uc6a9\ud558\uba74 \uc5ec\ub7ec \ubc31\uc5d4\ub4dc \uc11c\ubc84\uc5d0 \uc694\uccad\uc744 \ubd84\uc0b0\uc2dc\ucf1c \ub9ac\uc18c\uc2a4 \ud65c\uc6a9\ub3c4\ub97c \ucd5c\uc801\ud654\ud558\uace0 \uc2dc\uc2a4\ud15c\uc758 \uc804\ubc18\uc801\uc778 \ud6a8\uc728\uc131\uc744 \ud5a5\uc0c1\uc2dc\ud0ac \uc218 \uc788\uc2b5\ub2c8\ub2e4. \uc774 \ub85c\ub4dc \ubc38\ub7f0\uc2f1 \uce21\uba74\uc740 HMC\uac00 \uace0\ucc28\uc6d0 \uacf5\uac04\uc744 \ud6a8\uc728\uc801\uc73c\ub85c \ud0d0\uc0c9\ud558\uace0 \ucd5c\uc801\ud654 \uc791\uc5c5 \uc911\uc5d0 \ub85c\uceec \ucd5c\uc18c\uac12\uc5d0 \uac07\ud788\uc9c0 \uc54a\ub294 \ubc29\ubc95\uacfc \uc720\uc0ac\uc810\uc744 \uacf5\uc720\ud569\ub2c8\ub2e4.<\/p>\n<\/li>\n<\/ol>\n<h2>\uad00\ub828\ub41c \ub9c1\ud06c\ub4e4<\/h2>\n<p>\ud574\ubc00\ud134 \ubaac\ud14c\uce74\ub97c\ub85c\uc5d0 \ub300\ud55c \uc790\uc138\ud55c \ub0b4\uc6a9\uc740 \ub2e4\uc74c \ub9ac\uc18c\uc2a4\ub97c \ucc38\uc870\ud558\uc138\uc694.<\/p>\n<ol>\n<li><a href=\"https:\/\/en.wikipedia.org\/wiki\/Hybrid_Monte_Carlo\" target=\"_new\" rel=\"noopener nofollow\">\ud558\uc774\ube0c\ub9ac\ub4dc \ubaac\ud14c\uce74\ub97c\ub85c<\/a> \u2013 \uc6d0\ub798 \ud558\uc774\ube0c\ub9ac\ub4dc \ubaac\ud14c\uce74\ub97c\ub85c \uc54c\uace0\ub9ac\uc998\uc5d0 \ub300\ud55c Wikipedia \ud398\uc774\uc9c0.<\/li>\n<li><a href=\"https:\/\/en.wikipedia.org\/wiki\/Hamiltonian_Monte_Carlo\" target=\"_new\" rel=\"noopener nofollow\">\ud574\ubc00\ud134 \ubaac\ud14c\uce74\ub97c\ub85c<\/a> \u2013 Hamiltonian Monte Carlo \uc804\uc6a9 Wikipedia \ud398\uc774\uc9c0\uc785\ub2c8\ub2e4.<\/li>\n<li><a href=\"https:\/\/mc-stan.org\/docs\/2_28\/stan-users-guide\/hmc-algorithm.html\" target=\"_new\" rel=\"noopener nofollow\">Stan \uc0ac\uc6a9\uc790 \uac00\uc774\ub4dc<\/a> \u2013 Stan\uc758 Hamiltonian Monte Carlo \uad6c\ud604\uc5d0 \ub300\ud55c \uc885\ud569 \uac00\uc774\ub4dc.<\/li>\n<li><a href=\"https:\/\/arxiv.org\/abs\/1111.4246\" target=\"_new\" rel=\"noopener nofollow\">NUTS: \uc720\ud134\uc774 \uc5c6\ub294 \uc0d8\ud50c\ub7ec<\/a> \u2013 HMC\uc758 No-U-Turn Sampler \ud655\uc7a5 \uae30\ub2a5\uc744 \uc18c\uac1c\ud558\ub294 \uc6d0\ubcf8 \ub17c\ubb38\uc785\ub2c8\ub2e4.<\/li>\n<li><a href=\"https:\/\/camdavidsonpilon.github.io\/Probabilistic-Programming-and-Bayesian-Methods-for-Hackers\/\" target=\"_new\" rel=\"noopener nofollow\">\ud574\ucee4\ub97c \uc704\ud55c \ud655\ub960 \ud504\ub85c\uadf8\ub798\ubc0d \ubc0f \ubca0\uc774\uc9c0\uc548 \ubc29\ubc95<\/a> \u2013 HMC\ub97c \ud3ec\ud568\ud55c \ubca0\uc774\uc9c0\uc548 \ubc29\ubc95\uc758 \uc2e4\uc81c \uc0ac\ub840\uac00 \ub2f4\uae34 \uc628\ub77c\uc778 \ub3c4\uc11c\uc785\ub2c8\ub2e4.<\/li>\n<\/ol>","protected":false},"featured_media":468513,"menu_order":0,"template":"","meta":{"_acf_changed":false,"content-type":"","inline_featured_image":false,"footnotes":""},"class_list":["post-477408","wiki","type-wiki","status-publish","has-post-thumbnail","hentry"],"acf":{"faq_title":"Frequently Asked Questions about <mark>Hamiltonian Monte Carlo: A Powerful Sampling Technique for Efficient Proxy Server Operations<\/mark>","faq_items":[{"question":"What is Hamiltonian Monte Carlo (HMC)?","answer":"<p>Hamiltonian Monte Carlo (HMC) is an advanced sampling technique used in Bayesian statistics and computational physics. It efficiently explores complex probability distributions by simulating Hamiltonian dynamics, offering faster convergence and more accurate results compared to traditional methods.<\/p>"},{"question":"How does Hamiltonian Monte Carlo work?","answer":"<p>HMC introduces auxiliary momentum variables to the standard Metropolis-Hastings algorithm. These continuous variables interact with the position variables representing the parameters of interest, creating a hybrid system. The algorithm uses Hamiltonian dynamics to simulate the behavior of this hybrid system, and a Metropolis acceptance step ensures the resulting samples are drawn from the target distribution.<\/p>"},{"question":"What are the advantages of Hamiltonian Monte Carlo over other methods?","answer":"<p>HMC boasts several key advantages, including efficient exploration of high-dimensional spaces, adaptive step size for varying curvature, reduced autocorrelation in samples, and fewer tuning parameters compared to some other MCMC methods.<\/p>"},{"question":"What are the different types of Hamiltonian Monte Carlo?","answer":"<p>There are several variations of HMC, each designed to address specific challenges or tailor the method for different scenarios. Some notable types include the No-U-Turn Sampler (NUTS) for adaptive trajectory length, Riemannian HMC for manifolds, Stochastic Gradient HMC for large-scale problems, and Generalized HMC for non-Hamiltonian dynamics.<\/p>"},{"question":"In which fields is Hamiltonian Monte Carlo used?","answer":"<p>HMC finds applications in various domains, such as Bayesian inference for parameter estimation and model selection, machine learning for uncertainty estimation and calibration, and optimization tasks to explore optimization landscapes effectively.<\/p>"},{"question":"What are the challenges associated with using Hamiltonian Monte Carlo?","answer":"<p>While HMC requires fewer tuning parameters, setting the appropriate step size and number of leapfrog steps is crucial for efficient exploration. Additionally, simulating Hamiltonian dynamics can be computationally intensive, especially in high-dimensional spaces or with large datasets.<\/p>"},{"question":"How can Hamiltonian Monte Carlo be used with proxy servers?","answer":"<p>Proxy servers, acting as intermediaries between users and the internet, can benefit from HMC's efficient exploration just as data analysis and optimization tasks do. Proxy servers enhance privacy and security by masking IP addresses and encrypting data, while HMC explores probability distributions effectively and avoids getting stuck in local minima during optimization tasks.<\/p>"},{"question":"Where can I find more information about Hamiltonian Monte Carlo?","answer":"<p>For more information about Hamiltonian Monte Carlo, you can explore the Wikipedia page on \"Hamiltonian Monte Carlo,\" the Stan User's Guide for practical implementation, and the No-U-Turn Sampler (NUTS) paper for the NUTS extension. Additionally, the book \"Probabilistic Programming &amp; Bayesian Methods for Hackers\" provides practical examples of Bayesian methods, including HMC.<\/p>"}]},"_links":{"self":[{"href":"https:\/\/oneproxy.pro\/kr\/wp-json\/wp\/v2\/wiki\/477408","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/oneproxy.pro\/kr\/wp-json\/wp\/v2\/wiki"}],"about":[{"href":"https:\/\/oneproxy.pro\/kr\/wp-json\/wp\/v2\/types\/wiki"}],"version-history":[{"count":0,"href":"https:\/\/oneproxy.pro\/kr\/wp-json\/wp\/v2\/wiki\/477408\/revisions"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/oneproxy.pro\/kr\/wp-json\/wp\/v2\/media\/468513"}],"wp:attachment":[{"href":"https:\/\/oneproxy.pro\/kr\/wp-json\/wp\/v2\/media?parent=477408"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}