Page 134 - 《水资源与水工程学报》2025年第1期
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                 thefullyconnectedlayerofAM togetthefinaloptimizedpredictionresults.Thepredictionresultsofa
                 hydraulicengineeringslopebasedonGNSSsurveillancedatademonstratethattheproposedhybridmodel
                 achievedanaverageenhancementof63.92%,62.06%,and89.10% inpredictionaccuracyinthree
                 dimensions (h,x,y),comparedwiththeclassicdeeplearningensemblemodels.Thismodelcanoffera
                 novelmodelingapproachfortheanalysisofGNSSsurveillancedatainhydraulicengineeringslopes.
                 Keywords:slopedeformation;predictionmodel;GlobalNavigationSatelliteSystem(GNSS);timese
                 riesprediction ;deeplearning
                                                               ˆ; ÌÍÎ.    [9] 9°›b–^k—(empiricalmode
            1 ./01
                                                               decomposition,EMD) úŠV/º»´òüXù¡²
                 WXT]dem%&•ë'WXT]m()                          ü݊³´。ϕfk–^k—(variationalmode
            ~"W@N…†-I, **Î, ɕ+,ª-./”                          decomposition,VMD) øùýд”üÝ[oŠ—m
            01m2È34, de5%~6eK789, Æíd                          k—~µˆ„ã        [10] , Ñ45﹬ VMDί°
            e@N:î“;<†¥。fgUt†=>?w                             GNSS Oiz{mªˆ。
            x, ã@ABCDE’deF‹WTäGm@NH                                úG$½ÂŒOi–«½, LÁmüÝÒÓ
            I [12] 。ʺOidefg、 klËÌz{mfԖ                      s8üÝ    [1113] 、 ¨U&Ö [1417] ~Հ&Ö  [1823] 。Õ
            Å, J$K½ÂŒhi–«, LFhMdefgm                          €&ÖUt¨U&ÖmxûÔz, 0y’±m¾¿
            NO, tde@N‚ƒ‘"}Ômz{PQ。                              ‘¼ã§ß›tÕÖ45m-., ×yjúØÙÕ
                                                               èÚz{¾¿üX         [24] 。žŸ ¡¢£¤œ(bi
                 RSOiTUjdefgOim'V。úWs
                                                               directionallongshortterm memory ,BiLSTM) j'•
            mOiüÝ», ôXfgƬWêT、 NYT~iZ
                                                               ›öm ¡¢£ ¤ œ  (longshortterm memory,
            T.T[i}, ßÕèfg\ʺ]^m/._`
                                                               LSTM) ÛG, Åܓ½ÂŒÖ3ÝކrmV
            8~abTÎcífgz{。ɕd!e/WXT
                                                               —, ³0•ŠêëCÀÁ½ŒfÔ。
            ]$f½Âgh, ijT]»kjlmdeOiT
                                                                   äȘ ™ š › œ  (convolutionalneuralnet
            U, kjn³mOifo0pÔß5´, kjOif
                                                               works,CNN) ~¥¦§¨© (attentionmechanism,
                                        [3]
            oƬqrSWXfstøu                 。0v, ³wI¹
                                                               AM), JS BiLSTMz›, nߤaãÅÜՀ&Ö
            ¬#«WxUÎyzdefgmz{。NnFop                                                [23,25]
                                                               –«mz{ØÙ´ã              , JßG$’„㊎m
            qrs(GlobalNavigationSatelliteSystem,GNSS) f
                                                               deOi–«。
            gOijx”#{mdeOi|}, ~X¬CXç
                                                                   Ñàáú—âWXT]»de GNSS fgOi
            yUçyÎ#pqmŽ€&_Ï, ʺ—lt
                                                               z{mŽ€$–。ãäå¬ VMDz{¯
            €½Â.m‚ƒ?„…Îë&_`}。øù•@
                                                               °ªˆŠVF‘à|}~Læ„, $3ñÈ CNN、
            †3‡FfˆmWs‰ÙÅTU,GNSSOiTU
                                                               BiLSTM~ AMÎÕÙØÙ›ºªˆm½ÂŒ¾
            Š‹¬Œ•Ž, JL{a‘’“”•–á_
                                                               ¿, ʺ–ÇÚÛ(simulatedannealing,SA) ÜÝÓ
            S~z}, ㊗C˜òdeOim’“。™š
                                                               Ԗ«mç×z, ÞìG$“xû'• VMD-SA-
            GNSS &_€m‘Ž, i+|}úWXT]»m
                                                               CNN-BiLSTM-AMmde GNSS fgz{ªˆS
            ò¬nN•›œ        [4] 。ž, Ÿ .    [5] ¡¢£M@
                                                               hi–«, JʺT]èklb¤“ð–«m³
            NOi›åmùkl¤õ“ GNSSrsmêë
                                                               ´„~hi€。
            „; ¥¦§¨© 86 ªW«¬ØÙ“ GNSS #ˆÔf
            gOirs      [6] , Fi­y˜¬„。                         2 ./23
                 ®¯ GNSS|}údefgOiüXô°’                         2.1 >MWXMY(VMD)
            ±, ²¬X³´Lµ¶: xjÉY·è¸¹、 /º»                             fk–^k—Utx”ÏŠVüÝ, 鬕
            ´ò~¼½Ø¾mˆ‰              [7] ; ¿jhi–«m           µ¶Ï»mˆ‰        [26] 。GNSS ÏÉt€8êmÔ
            €:À•–«mÁÂ~×zmÓÔ, FÃhiĄ                            ÏëÆß›,VMD,?jïijÔÏìk, 
            mtë&„ÅÆ。t“ÇÈ GNSSOiz{m|                            Ž8ϯ°ŠV。
            }, ÉÊË.     [8] ò¬¡²f–+LÒݯ°µ                         ãä, ïÑÙÏk—txrí³–^îz
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