鎽� 瑕�锛氶潪绶氭€х郴绲�(t菕ng)寤ｆ硾瀛樺湪浜庤嚜鐒剁晫锛屼汉宸ョ缍�(j墨ng)缍�(w菐ng)绲�(lu貌)鏈夎〃绀轰换鎰忛潪绶氭€ч棞(gu膩n)绯诲拰鑷(xu茅)缈�(x铆)绛夎兘鍔涳紝鐐烘椤�(l猫i)鍟�(w猫n)椤屾彁渚涗簡瑙ｆ焙鏂规硶銆傛湰鏂囧湪宸叉彁渚涚殑涓€绯诲垪鍦颁笅姘翠綅娓�(c猫)閲忔暩(sh霉)鎿�(j霉)鐨勫墠鎻愪笅锛屽垎鍒ュ埄鐢ㄥ緫鍚戝熀鍑芥暩(sh霉)绁炵稉(j墨ng)缍�(w菐ng)绲�(lu貌)锛孊P绁炵稉(j墨ng)缍�(w菐ng)绲�(lu貌)灏�(du矛)鍦颁笅姘翠綅鏁�(sh霉)鎿�(j霉)閫�(j矛n)琛岃〒(x霉n)绶存ǎ鏈泦鑸囨娓�(c猫)妯ｆ湰闆嗙殑妲�(g貌u)寤�锛屽苟鍒嗗垾灏�(du矛)浠跨湡绲�(ji茅)鏋滈€�(j矛n)琛屼簡姣旇純瑭�(p铆ng)鍍�(ji脿)銆� 闂�(gu膩n) 閸� 瑭�锛氬墠鍚戠缍�(j墨ng)缍�(w菐ng)绲�(lu貌)锛涢潪绶氭€�锛汻BF绁炵稉(j墨ng)缍�(w菐ng)绲�(lu貌)锛汢P绁炵稉(j墨ng)缍�(w菐ng)绲�(lu貌) 涓湒鍒嗛(l猫i)铏�(h脿o)锛歍P118 鏂囩嵒(xi脿n)妯�(bi膩o)蹇楃⒓锛欰 [align=center]Data processing method for feedward neural network based on measure of groundwater level ZOU Jing, YU Yang, CHEN Liang 锛圫chool of Information science &Engineering, Shenyang Ligong University, Shenyang, Liaoning 110168, China锛塠/align] Abstract: Nonlinear system exist extensively in nature, artificial neural network have the ability that can express arbitrarily nonlinear relation and self study, and offer a method that solve these problems. Under the premise of the groundwater level鈥檚 data which had already provided, this paper use RBFNN and BPNN respectively to train and test the sample gather of these data, and set up corresponding network. In the last, this paper compare and critique the corresponding simulation result. Keywords: feedforward neural network; nonlinear; RBF neural network; BP neural network 鍓嶅悜绁炵稉(j墨ng)缍�(w菐ng)绲�(lu貌)绲�(ji茅)妲�(g貌u)鏄殠灞ゅ瀷鐨�锛屼俊鎭€煎彲浠ュ緸杓稿叆灞ゅ柈鍏冨偝鎾埌瀹冧笂涓€灞ょ殑鍠厓銆傜涓€灞ょ殑鍠厓鑸囩浜屽堡鎵€鏈夌殑鍠厓鐩搁€�锛岀浜屽堡鍙堣垏鍏朵笂涓€灞ゅ柈鍏冪浉閫ｏ紝鍚屼竴灞や腑鍚勫柈鍏冧箣闁撴矑(m茅i)鏈夐€ｆ帴[1] 銆傚墠鍚戠恫(w菐ng)绲�(lu貌)涓缍�(j墨ng)鍏冪殑杓稿叆杓稿嚭闂�(gu膩n)绯伙紝鍙噰鐢ㄧ窔鎬ч柧鍊肩‖璁婃彌鎴栧柈鍏冧笂鍗囩殑闈炵窔鎬ц畩鎻�锛屽潎閲囩敤鐩�(ji膩n)鐫ｅ(xu茅)缈�(x铆)鏂瑰紡[2]锛屽叾涓殑RBF绁炵稉(j墨ng)缍�(w菐ng)绲�(lu貌)鍜孊P绁炵稉(j墨ng)缍�(w菐ng)绲�(lu貌)鍦ㄩ€艰繎浠绘剰鐨勯潪绶氭€ф槧灏勪腑閮芥槸寰堝ソ鐨勮В姹烘柟娉昜3]銆� 鏈枃鎶婁竴绯诲垪鍦颁笅姘翠綅娓�(c猫)閲忔暩(sh霉)鎿�(j霉)浣滅偤妯ｆ湰锛屽苟鎶婃墍鏈夌殑鏁�(sh霉)鎿�(j霉)妯ｆ湰鍒嗙偤瑷�(x霉n)绶存ǎ鏈拰妾㈡脯(c猫)妯ｆ湰灏�(du矛)鍏堕€�(j矛n)琛岀缍�(j墨ng)缍�(w菐ng)绲�(lu貌)鐨勬(g貌u)寤�锛屽垎鍒ョ敤鍏╃ó鍓嶅悜鍨嬬缍�(j墨ng)缍�(w菐ng)绲�(lu貌)瑷�(x霉n)绶存ǎ鏈拰妾㈡脯(c猫)妯ｆ湰锛屽垎鏋愭瘮杓冨叐绋恫(w菐ng)绲�(lu貌)鐨勯€艰繎瑾ゅ樊锛屽苟鐢辨绲﹀嚭瑭�(p铆ng)鍍�(ji脿)绲�(ji茅)璜�銆� 1. 鍓嶆湡婧�(zh菙n)鍌� 鍦颁笅姘翠綅涓昏鍙楁渤閬撴祦閲�銆佹埃婧�銆侀＝鍜屽樊銆侀檷姘撮噺鍜岃捀鐧�(f膩)閲忕瓑閲嶈鍥犲瓙褰遍熆锛岀敱姝ゆ绱嶅嚭24绲勬暩(sh霉)鎿�(j霉)锛屽琛�1.1鎵€绀�銆傞伕瀹氬叾涓殑1鈥�19绲勪綔鐐鸿〒(x霉n)绶存ǎ鏈�锛�20鈥�24绲勪綔鐐烘脯(c猫)瑭︽ǎ鏈�銆傦紙鏁�(sh霉)鎿�(j霉)宸插仛閬�(gu貌)姝镐竴鍖栬檿鐞嗭級 [align=center]琛�1.1 鍦颁笅姘翠綅鍙婂叾褰遍熆鍥犲瓙鐩�(ji膩n)娓�(c猫)鏁�(sh霉)鎿�(j霉)琛� [/align] 2. RBF缍�(w菐ng)绲�(lu貌)鐨勫壍(chu脿ng)寤�銆佽〒(x霉n)绶村拰娓�(c猫)瑭� 寰戝悜鍩哄嚱鏁�(sh霉)锛圧BF锛夌缍�(j墨ng)缍�(w菐ng)绲�(lu貌)鐢变笁灞ょ祫鎴�銆傝几鍏ュ堡绡€(ji茅)榛�(di菐n)鍙偝閬炶几鍏ヤ俊铏�(h脿o)鍒伴毐灞�锛岄毐灞ょ瘈(ji茅)榛�(di菐n)鐢卞儚楂樻柉鍑芥暩(sh霉)閭ｆǎ鐨勮蓟灏勭媭浣滅敤鍑芥暩(sh霉)妲�(g貌u)鎴愶紝鑰岃几鍑哄堡绡€(ji茅)榛�(di菐n)閫氬父鏄啊(ji菐n)鍠殑绶氭€у嚱鏁�(sh霉)[4]銆傞毐灞ょ瘈(ji茅)榛�(di菐n)涓殑浣滅敤鍑芥暩(sh霉)锛堝熀鍑芥暩(sh霉)锛夊皪(du矛)杓稿叆淇¤櫉(h脿o)灏囧湪灞€閮ㄧ敘(ch菐n)鐢熼熆鎳�(y墨ng)锛屼篃鍗崇暥(d膩ng)杓稿叆淇¤櫉(h脿o)闈犺繎鍩哄嚱鏁�(sh霉)鐨勪腑澶寖鍦嶆檪(sh铆)锛岄毐灞ょ瘈(ji茅)榛�(di菐n)灏囩敘(ch菐n)鐢熻純澶х殑杓稿嚭锛岀敱姝ゅ彲浠ョ湅鍑洪€欑ó缍�(w菐ng)绲�(lu貌)鍏锋湁灞€閮ㄩ€艰繎鑳藉姏锛屾墍浠ュ緫鍚戝熀鍑芥暩(sh霉)缍�(w菐ng)绲�(lu貌)涔熺ū(ch膿ng)鐐哄眬閮ㄦ劅鐭ュ牬(ch菐ng)缍�(w菐ng)绲�(lu貌)[5]銆� 鐢变笂琛�锛屽緱鍒拌几鍏ュ悜閲弍鑸囩洰妯�(bi膩o)鍚戦噺t銆傦紙瑷�(x霉n)绶存ǎ鏈級 杓稿叆娓�(c猫)瑭︽ǎ鏈琾_test,鐩(bi膩o)娓�(c猫)瑭︽ǎ鏈瑃_test銆傦紙娓�(c猫)瑭︽ǎ鏈級 閲囩敤绮剧⒑瑷�(sh猫)瑷�(j矛)鍑芥暩(sh霉)newrbe鍓�(chu脿ng)寤轰竴鍊�(g猫)0瑾ゅ樊鐨凴BF绁炵稉(j墨ng)缍�(w菐ng)绲�(lu貌)锛岃嚜鍕�(d貌ng)閬告搰闅卞惈灞ょ殑鏁�(sh霉)鐩�銆� SPREAD=1.5; Net=newrbe锛坧,t,SPREAD锛�; SPREAD鐐哄緫鍚戝熀鍑芥暩(sh霉)鐨勫垎甯冨瘑搴�锛岃秺澶у嚱鏁�(sh霉)瓒婂钩婊�銆傜敱浜庣恫(w菐ng)绲�(lu貌)鐨勫缓绔嬮亷(gu貌)绋嬪氨鏄〒(x霉n)绶撮亷(gu貌)绋�锛屽洜姝�锛屾鏅�(sh铆)寰楀埌鐨勭恫(w菐ng)绲�(lu貌)net宸茬稉(j墨ng)鏄〒(x霉n)绶村ソ浜嗙殑銆傚鍦�2.1鐨凴BF绁炵稉(j墨ng)缍�(w菐ng)绲�(lu貌)妯″瀷銆� [align=center] 鍦�2.1 RBF绁炵稉(j墨ng)缍�(w菐ng)绲�(lu貌)妯″瀷[/align] 鐒跺悗灏�(du矛)缍�(w菐ng)绲�(lu貌)閫�(j矛n)琛屼豢鐪�锛岄(y脿n)璀夊叾闋�(y霉)娓�(c猫)瑾ゅ樊濡傚湒2.2鎵€绀�銆� y=sim锛坣et,p_test锛� 閬�(y霉n)琛岀祼(ji茅)鏋測=0.6455 1.0844 0.3816 0.0064 0.1837 plot锛�1:5,y-t_test锛�;%寰楀嚭闋�(y霉)娓�(c猫)瑾ゅ樊濡傚湒2.2锛岀敱鍦栧彲瑕�(ji脿n)锛屽皪(du矛)浜庡湴涓嬫按浣嶇殑闋�(y霉)鍫�(b脿o)渚�(l谩i)瑾�(shu艒)锛岀恫(w菐ng)绲�(lu貌)鐨勯爯(y霉)鍫�(b脿o)瑾ゅ樊骞朵笉澶с€� 姝ゅ锛孲PREAD鍊肩殑澶у皬褰遍熆缍�(w菐ng)绲�(lu貌)鐨勯爯(y霉)娓�(c猫)绮惧害銆傛帴涓嬩締(l谩i)锛屽垎鍒ュ湪SPREAD=2锛�3锛�4锛�5鐨勬儏娉佷笅瑷�(j矛)绠楃恫(w菐ng)绲�(lu貌)鐨勯爯(y霉)鍫�(b脿o)绮惧害锛屼唬纰肩偤锛� y=rands锛�4锛�5锛�锛� for i=1:4 net=newrbe锛坧,t,i+1锛�; y锛坕,:锛�=sim锛坣et,p_test锛�; end plot锛�1:5,y锛�1,:锛�-t_test,鈥檙鈥欙級; hold on; plot锛�1:5,y锛�2,:锛�-t_test,鈥檅鈥欙級; hold on; plot锛�1:5,y锛�3,:锛�-t_test,鈥檊鈥欙級; hold on; plot锛�1:5,y锛�4,:锛�-t_test,鈥�.鈥欙級; hold on; [align=center] 鍦�2.2 RBF缍�(w菐ng)绲�(lu貌)瑷�(x霉n)绶磋宸洸绶� 鍦�2.3 SPREAD鍙栦笉鍚屽€兼檪(sh铆)鐨勯爯(y霉)鍫�(b脿o)瑾ゅ樊[/align] 鐢卞湒鍙互鐪嬪嚭锛岀暥(d膩ng)SPREAD=2鎴�3鏅�(sh铆)锛岀恫(w菐ng)绲�(lu貌)鐨勯爯(y霉)鍫�(b脿o)瑾ゅ樊鏈€灏�锛屽彲寰楀埌鐞嗘兂鐨勭祼(ji茅)鏋溿€� 3. BP缍�(w菐ng)绲�(lu貌)鐨勫壍(chu脿ng)寤�銆佽〒(x霉n)绶村拰娓�(c猫)瑭� 鍒╃敤BP缍�(w菐ng)绲�(lu貌)灏�(du矛)鍦颁笅姘翠綅閫�(j矛n)琛岄噸鏂伴爯(y霉)鍫�(b脿o)锛岄伕鎿囩殑BP缍�(w菐ng)绲�(lu貌)鐐�5锛�11锛�1鐨勭祼(ji茅)妲�(g貌u)銆傞毐灞ょ缍�(j墨ng)鍏冨€�(g猫)鏁�(sh霉)鐢�5锛�2+1寰�銆傝〒(x霉n)绶村嚱鏁�(sh霉)鐐簍rainlm銆傝ō(sh猫)瑷�(x霉n)绶存鏁�(sh霉)鐐�1000. 鍓�(chu脿ng)寤轰竴鍊�(g猫)浜屽堡缍�(w菐ng)绲�(lu貌)锛屽叾缍�(w菐ng)绲�(lu貌)妯″瀷濡傚湒3.1鎵€绀�銆� [align=center] 鍦�3.1 BP缍�(w菐ng)绲�(lu貌)绲�(ji茅)妲�(g貌u)妯″瀷[/align] net=newff锛圼0 0.6814;0 0.9697;0 1.0000;0 0.6129;0 1.0000],[11 1],锝涒€榯ansig鈥�,鈥檒ogsig鈥欙綕, 鈥榯rainlm鈥欙級; net.trainParam.epochs=1000; net=tran锛坣et,p,t锛�; 瑷�(x霉n)绶存鏁�(sh霉)鍦栧鍦�3.2 [align=center] 鍦�3.2 BP缍�(w菐ng)绲�(lu貌)瑷�(x霉n)绶磋宸甗/align] %娓�(c猫)瑭︽ǎ鏈豢鐪� y=sim锛坣et,p_test锛�; 浠_bp=y-t_test plot锛�1:5,y_bp,鈥欙紛鈥欙級; hold off; 鍓囪宸湒鍦ㄥ湒2.3涓珨鐝�(xi脿n)鍑轰締(l谩i)銆� 4. 姣旇純瑭�(p铆ng)鏋� 寰炲湒2.3涓彲浠ョ湅鍑猴紝灏�(du矛)浜庨爯(y霉)鍫�(b脿o)绮惧害渚�(l谩i)瑾�(shu艒)锛孊P缍�(w菐ng)绲�(lu貌)鏄庨’涓嶅RBF缍�(w菐ng)绲�(lu貌)锛岃€屼笖BP缍�(w菐ng)绲�(lu貌)鐨勮〒(x霉n)绶存檪(sh铆)闁撴槑椤ぇ浜嶳BF缍�(w菐ng)绲�(lu貌)锛屽叾瑷�(x霉n)绶撮€熷害姣旇純鎱�銆俁BF绁炵稉(j墨ng)缍�(w菐ng)绲�(lu貌)鐢变簬鍏惰几鍑哄堡鏄皪(du矛)涓枔灞ょ殑绶氭€у姞娆�(qu谩n)锛屼娇寰楅伩鍏嶄簡鍍廈P缍�(w菐ng)绲�(lu貌)閭ｆǎ绻佺懀鍐楅暦(zh菐ng)鐨勮▓(j矛)绠�锛屽叿鏈夎純楂樼殑閬�(y霉n)绠楅€熷害鍜屽鎺ㄨ兘鍔涳紝鍚屾檪(sh铆)浣垮緱缍�(w菐ng)绲�(lu貌)鏈夎純寮�(qi谩ng)鐨勯潪绶氭€ф槧灏勫姛鑳�銆傝垏BP绁炵稉(j墨ng)缍�(w菐ng)绲�(lu貌)鐩告瘮锛岀敱浜庨渶瑕佽(di脿o)鏁寸殑鍙冩暩(sh霉)姣旇純灏�锛屽彧鏈変竴鍊�(g猫)鍏夋粦鍥犲瓙锛屽洜姝ゅ彲浠ユ洿蹇湴鎵惧埌鍚堥仼鐨勯爯(y霉)娓�(c猫)缍�(w菐ng)绲�(lu貌)锛屽叿鏈夎純澶х殑瑷�(j矛)绠楀劒(y艒u)鍕�(sh矛)銆� 5. 绲�(ji茅)瑾�(y菙) 寰炵悊璜栦笂鑰岃█锛孯BF缍�(w菐ng)绲�(lu貌)鍜孊P缍�(w菐ng)绲�(lu貌)涓€妯ｅ彲杩戜技浠讳綍鐨勯€ｇ簩(x霉)闈炵窔鎬у嚱鏁�(sh霉)銆傚叐鑰呯殑涓昏宸垾鍦ㄤ簬鍚勪娇鐢ㄤ笉鍚岀殑浣滅敤鍑芥暩(sh霉)锛孊P缍�(w菐ng)绲�(lu貌)涓殑闅卞堡绡€(ji茅)榛�(di菐n)浣跨敤鐨勬槸sigmoid鍑芥暩(sh霉)锛屽叾鍑芥暩(sh霉)鍊煎湪杓稿叆绌洪枔涓劇(w煤)闄愬ぇ鐨勮寖鍦嶅収(n猫i)鐐洪潪闆跺€�锛岃€孯BF缍�(w菐ng)绲�(lu貌)鐨勪綔鐢ㄥ嚱鏁�(sh霉)鍓囨槸灞€閮ㄧ殑銆� 鍙冭€冩枃鐛�(xi脿n) [1]寮甸埓锛屽嫉鎷�銆備汉宸ョ缍�(j墨ng)缍�(w菐ng)绲�(lu貌)鐞嗚珫鍙婃噳(y墨ng)鐢╗M]銆傛禉姹燂細娴欐睙绉戝(xu茅)鎶€琛�(sh霉)鍑虹増绀�锛�1997 [2]娌堟竻锛岃儭寰锋枃锛屾檪(sh铆)鏄�銆傜缍�(j墨ng)缍�(w菐ng)绲�(lu貌)鎳�(y墨ng)鐢ㄦ妧琛�(sh霉)[M]銆傞暦(zh菐ng)娌欙細鍦�(gu贸)闃茬鎶€澶у(xu茅)鍑虹増绀�锛�1993 [3]鑱炴柊绛�銆侻ATLAB绁炵稉(j墨ng)缍�(w菐ng)绲�(lu貌)浠跨湡鑸囨噳(y墨ng)鐢╗M]?锛熻寲W(xu茅)鍑虹増绀撅紝2003.7 [4]榛冨姞浜�銆俁BF绁炵稉(j墨ng)缍�(w菐ng)绲�(lu貌)鍦ㄨ埞鐢ㄤ綆閫熸煷娌规(j墨)鏁呴殰瑷烘柗涓殑鎳�(y墨ng)鐢ㄧ爺绌禰纰╁＋瀛�(xu茅)浣嶈珫鏂嘳銆傚ぇ閫ｆ捣浜嬪ぇ瀛�(xu茅)锛�2000.3 [5]鍙㈢埥銆傞潰鍚慚ATLAB宸ュ叿绠辩殑绁炵稉(j墨ng)缍�(w菐ng)绲�(lu貌)鐞嗚珫鑸囨噳(y墨ng)鐢�銆傚悎鑲ワ細涓湅(gu贸)绉戞妧澶у(xu茅)鍑虹増绀撅紝1998