100,773 research outputs found
V-structure
No full textThis structure is generated by the following equations:
V^{(1)}_t = 0.2 * V^{(1)}_{t - 1} + 0.1 * \eps^1_t
V^{(2)}_t = 0.2 * V^{(2)}_{t - 1} + 0.1 * \eps^2_t
V^{(3)}_t = 0.2 * V^{(3)}_{t - 1} + 0.4 * V^{(1)}_{t - 1} + 0.3 * V^{(2)}_{t - 1} + 0.1 * \eps^3_t
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v structure
No full text
V^{(1)}_t = a_{11}^{t-1} * V^{(1)}_{t - 1} + b_{1}^{t} * \eps^1_t
V^{(2)}_t = a_{22}^{t-1} * V^{(2)}_{t - 1} + b_{2}^{t} * \eps^2_t
V^{(3)}_t = a_{33}^{t-1} * V^{(3)}_{t - 1} + a_{13}^{t-2} * g(V^{(1)}_{t - 2}) + a_{23}^{t-1} * g(V^{(2)}_{t - 1}) + b_{3}^{t} * \eps^3_t
We present below the characteristics of each dataset in the following form: (f(), g(), a_{11}^{t-1} b_{1}^{t} a_{22}^{t-1} b_{2}^{t} a_{33}^{t-1} b_{3}^{t} a_{13}^{t-2} a_{23}^{t-1})
Dataset 1: (tanh, tanh, -0.45088901737058884 0.1 -0.5049523437439734 0.1 -0.23912014762598788 0.1 -0.10325271020569993 0.7873766287095652)
Dataset 2: (abso, tanh, 0.7943275308593616 0.1 -0.7759848046608431 0.1 -0.623677017045875 0.1 -0.7383399199106677 -0.11855529995628933)
Dataset 3: (sin, abso, 0.6747045268600222 0.1 0.649657313651451 0.1 0.7784498897392678 0.1 0.38390606423309004 -0.9649074283617511)
Dataset 4: (abso, abso, 0.5284812027494568 0.1 -0.1725023723393413 0.1 0.45721703518389356 0.1 -0.6942436019409397)
Dataset 5: (cos, cos, 0.6125159746673405 0.1 -0.7233943050608049 0.1 -0.13702376727771082 0.1 -0.14928558123954971 -0.11666721635492361)
Dataset 6: (cos, tanh, 0.6644969432799552 0.1 0.9407464970999357 0.1 0.44945132799683596 0.1 -0.7060163442837146 0.15681140184217734)
Dataset 7: (sin, sin, -0.5497126489579025 0.1 0.2849732727847174 0.1 0.4725914957333084 0.1 -0.42985480896234907 0.4112407421239732)
Dataset 8: (sin, sin, -0.6834672911363326 0.1 0.38426123989386074 0.1 0.9341063772829692 0.1 0.48236928466122797 0.1943403918087625)
Dataset 9: (sin, tanh, 0.33892872454094913 0.1 0.5148639129962742 0.1 -0.4569622735764802 0.1 0.9477074909578327 0.6377908667571701)
Dataset 10: (abso, cos, -0.6228341001882012 0.1 -0.9825061607468175 0.1 -0.9919617137990564 0.1 -0.4649381489765938 0.2517408817185083
Phase diagram of the 1-dimensional t--J mode
No full textThe phase diagram of the one-dimensional t-J model is investigated by analyzing the results of exact diagonalization and the exact solutions at J/t=0 and 2. Phase separation takes place above a critical value of J around Jc/t=2.5 3.5 depending on the electron density. In the small-J region, Tomonaga-Luttinger liquid theory holds and its correlation exponents are calculated as a function of J/t and the electron density. Superconducting correlations become dominant in a region between the solvable case (J/t=2) and phase separation. A spin-gap region is also found at low density. © 1991 The American Physical Society
7ts2h with different sampling rate
No full textThis structure is generated by the following equations:
H^{(8)}_t = a_{88}^{t-1} * H^{(8)}_{t - 1} + b_{8}^{t} * \eps^8_t
H^{(9)}_t = a_{99}^{t-1} * H^{(9)}_{t - 1} + b_{9}^{t} * \eps^9_t
V^{(1)}_t = a_{91}^{t-1} * f10(H^{(9)}_{t - 1}) + a_{11}^{t-1} * V^{(1)}_{t - 1} + a_{21}^{t-1} * f1(V^{(2)}_{t - 1}) + b_{1}^{t} * \eps^1_t for t%2!=0
V^{(2)}_t = a_{82}^{t-1} * f9(H^{(8)}_{t - 1}) + a_{22}^{t-1} * V^{(2)}_{t - 1} + a_{32}^{t-1} * f2(V^{(3)}_{t - 1}) + b_{2}^{t} * \eps^2_t for t%2==0
V^{(3)}_t = a_{33}^{t-1} * V^{(3)}_{t - 1} + a_{43}^{t-1} * f3(V^{(4)}_{t - 1}) + b_{3}^{t} * \eps^3_t
V^{(4)}_t = a_{44}^{t-1} * V^{(4)}_{t - 1} + b_{4}^{t} * \eps^4_t
V^{(5)}_t = a_{55}^{t-1} * V^{(5)}_{t - 1} + a_{45}^{t-1} * f5(V^{(4)}_{t - 1}) + b_{5}^{t} * \eps^5_t
V^{(6)}_t = a_{96}^{t-1} * f11(H^{(9)}_{t - 1}) + a_{66}^{t-1} * V^{(6)}_{t - 1} + a_{56}^{t-1} * f6(V^{(5)}_{t - 1}) + b_{6}^{t} * \eps^6_t
V^{(7)}_t = a_{87}^{t-1} * f8(H^{(8)}_{t - 1}) + a_{77}^{t-1} * V^{(7)}_{t - 1} + a_{67}^{t-1} * f7(V^{(6)}_{t - 1}) + b_{7}^{t} * \eps^7_t for t%2==0
We present below the characteristics of each dataset in the following form: (f10(), f9(), f11, f8(), f1(), f2(), f3(), f5(), f6(), f7(), a_{88}^{t-1} b_{8}^{t} a_{99}^{t-1} b_{9}^{t} a_{11}^{t-1} b_{1}^{t} a_{22}^{t-1} b_{2}^{t} a_{33}^{t-1} b_{3}^{t} a_{44}^{t-1} b_{4}^{t} a_{55}^{t-1} b_{5}^{t} a_{66}^{t-1} b_{6}^{t} a_{77}^{t-1} b_{7}^{t} a_{91}^{t-1} a_{82}^{t-1} a_{96}^{t-1} a_{87}^{t-1} a_{21}^{t-1} a_{32}^{t-1} a_{43}^{t-1} a_{45}^{t-1} a_{56}^{t-1} a_{67}^{t-1})
Dataset 1: (cos, cos, tanh, cos, cos, tanh, sin, sin, cos, cos, 0.4690047938595834 0.1 0.9479395907855845 0.1 -0.29836394982267844 0.1 0.6166910968112946 0.1 -0.7607663922852423 0.1 0.48472191233851225 0.1 -0.8291799516287115 0.1 0.4364828031175205 0.1 0.5268354929774564 0.1 -0.19300869563585188 -0.12191052050753881 0.992930439066902 -0.19300869563585188 0.2855027465512183 0.6459192165734338 0.2713659185844768 0.20383470102736645 -0.796545823357069 -0.3399476272107236)
Dataset 2: (tanh, tanh, tanh, sin, abso, abso, cos, tanh, sin, cos, -0.3358101964117972 0.1 0.5447388334483942 0.1 0.5082633759535873 0.1 0.40617918107666995 0.1 -0.46459276971425 0.1 -0.6851570258267166 0.1 -0.20555335046522538 0.1 -0.760348443323906 0.1 -0.593586653252502 0.1 0.20051244835975846 0.7515100303159525 -0.24492376826010887 0.20051244835975846 -0.6620830194043714 -0.5387740887791161 -0.1621695721174352 0.8193555241065384 -0.19869964710418042 0.849009571915287)
Dataset 3: (sin ,tanh, abso, sin, sin, sin, abso, tanh, cos, cos, -0.3103409580696437 0.1 0.19157917654309542 0.1 0.8426129833739384 0.1 -0.7785931638047321 0.1 -0.2736216345620959 0.1 0.14770635555285816 0.1 -0.7179880560115182 0.1 0.653761128421966 0.1 0.7201756767517731 0.1 -0.6309508974170932 -0.8767640693586936 0.7494840368372981 -0.6309508974170932 -0.8006289329648033 -0.9428603336487935 0.7896662128845298 -0.18586585246320375 0.627319023438303 -0.8846881280610717)
Dataset 4: (cos, abso, tanh, sin, tanh, tanh, cos, abso, cos, sin, 0.5660587484803361 0.1 0.47755069621613533 0.1 0.4381340205670323 0.1 0.9393505225427887 0.1 0.3656772262816901 0.1 0.4857863582309987 0.1 0.24976386266936368 0.1 -0.9793254574897177 0.1 -0.7429317544856375 0.1 -0.27170267925698743 -0.1298682334142911 0.4037067134576622 -0.27170267925698743 0.48452571339971384 -0.5406549997619869 0.8856923241775136 -0.7213255591853303 0.4291578543681691 -0.935729535716358)
Dataset 5: (cos, tanh, tanh, abso, tanh, abso, cos, abso, tanh, cos, -0.4515693667452767 0.1 0.8688127262664711 0.1 0.8028844799520938 0.1 0.21166703751962834 0.1 0.2997384375385874 0.1 0.5178068614229168 0.1 0.9321157939268161 0.1 -0.4327175549763074 0.1 0.8937925603149124 0.1 -0.18935075192165818 0.6051300561023223 -0.45848715361818226 -0.18935075192165818 -0.11001891076419312 -0.14774866126893316 -0.899020848460091 -0.11692120806183981 0.8906255182910714 0.6865463349381786)
Dataset 6: (sin, abso, sin, abso, cos, abso, cos, sin, abso, sin, 0.13789374331826032 0.1 -0.8572497357974211 0.1 0.6532219131540213 0.1 0.7176426973103909 0.1 0.10703254609435198 0.1 -0.24780360785385924 0.1 -0.7941666311583362 0.1 -0.746883608238494 0.1 -0.6032283124007425 0.1 -0.8153517578253651 -0.915954705975357 -0.3574092417804282 -0.8153517578253651 0.3578617903248109 -0.15583396852082876 0.8871277503575612 0.456595767106835 -0.2634834641765724 0.6987299609768283)
Dataset 7: (tanh, cos, abso, tanh, cos, abso, tanh, abso, abso, sin, 0.3419187109634674 0.1 -0.5030340420904331 0.1 0.5285886663743655 0.1 0.29670785570237657 0.1 0.5235518393245164 0.1 -0.7011177931845314 0.1 -0.6011658595445111 0.1 0.3665603050569055 0.1 -0.31956231453851514 0.1 -0.3039431585394128 0.32522024085766543 -0.28271759792215057 -0.3039431585394128 0.4630971950858358 0.5156037354807526 -0.6955964348207855 0.599419937131366 0.8931889119773166 -0.5234924893818189)
Dataset 8: (tanh, cos, abso, abso, cos, cos, cos, sin, cos, tanh, 0.8317248486186986 0.1 -0.8403220343242301 0.1 0.44081072169639857 0.1 -0.4081907684569219 0.1 0.9110827240715147 0.1 -0.8879223103663403 0.1 -0.7019225248137875 0.1 -0.7027337629717276 0.1 0.5142907242113686 0.1 0.3193487914461812 -0.9518771556520282 -0.4470039387919378 0.3193487914461812 -0.320250691131825 -0.9626204379237815 0.7926319106510715 0.19224167179500395 0.48017063552868966 0.9159652739414339)
Dataset 9: (tanh, sin, tanh, tanh, cos, abso, tanh, cos, cos, abso, -0.21433143804375399 0.1 0.7106303179780467 0.1 -0.4043599992956515 0.1 -0.4739075499050336 0.1 -0.5319858525655499 0.1 0.33008135626490676 0.1 -0.7461843545418902 0.1 0.22206114361940887 0.1 0.13768409633544243 0.1 0.48251057063493263 0.415078068093081 0.4480149095132864 0.48251057063493263 -0.37751669778911956 0.23767037216560905 0.1649026796325208 0.8643023923292661 -0.4529816883528124 -0.5986410260748003)
Dataset 10: (cos, cos, abso, cos, sin, sin, sin, cos, sin, abso, -0.8930925430538972 0.1 -0.554550604752432 0.1 0.8746807898600222 0.1 0.2582102484789708 0.1 0.46259092304635074 0.1 0.5123028191188166 0.1 -0.15232149289922603 0.1 -0.23542594375377068 0.1 -0.9926898627440199 0.1 0.5459267915197077 -0.2747273273613835 0.18694760312846181 0.5459267915197077 0.614606088471146 -0.9023995756694536 -0.9963797368721001 0.23363244823550922 0.19621989802649908 0.1625139174036352
7ts2h structure
No full textThis structure is generated by the following equations:
H^{(8)}_t = a_{88}^{t-1} * H^{(8)}_{t - 1} + b_{8}^{t} * \eps^8_t
H^{(9)}_t = a_{99}^{t-1} * H^{(9)}_{t - 1} + b_{9}^{t} * \eps^9_t
V^{(1)}_t = a_{91}^{t-1} * f10(H^{(9)}_{t - 1}) + a_{11}^{t-1} * V^{(1)}_{t - 1} + a_{21}^{t-1} * f1(V^{(2)}_{t - 1}) + b_{1}^{t} * \eps^1_t
V^{(2)}_t = a_{82}^{t-1} * f9(H^{(8)}_{t - 1}) + a_{22}^{t-1} * V^{(2)}_{t - 1} + a_{32}^{t-1} * f2(V^{(3)}_{t - 1}) + b_{2}^{t} * \eps^2_t
V^{(3)}_t = a_{33}^{t-1} * V^{(3)}_{t - 1} + a_{43}^{t-1} * f3(V^{(4)}_{t - 1}) + b_{3}^{t} * \eps^3_t
V^{(4)}_t = a_{44}^{t-1} * V^{(4)}_{t - 1} + b_{4}^{t} * \eps^4_t
V^{(5)}_t = a_{55}^{t-1} * V^{(5)}_{t - 1} + a_{45}^{t-1} * f5(V^{(4)}_{t - 1}) + b_{5}^{t} * \eps^5_t
V^{(6)}_t = a_{96}^{t-1} * f11(H^{(9)}_{t - 1}) + a_{66}^{t-1} * V^{(6)}_{t - 1} + a_{56}^{t-1} * f6(V^{(5)}_{t - 1}) + b_{6}^{t} * \eps^6_t
V^{(7)}_t = a_{87}^{t-1} * f8(H^{(8)}_{t - 1}) + a_{77}^{t-1} * V^{(7)}_{t - 1} + a_{67}^{t-1} * f7(V^{(6)}_{t - 1}) + b_{7}^{t} * \eps^7_t
We present below the characteristics of each dataset in the following form: (f10(), f9(), f11, f8(), f1(), f2(), f3(), f5(), f6(), f7(), a_{88}^{t-1} b_{8}^{t} a_{99}^{t-1} b_{9}^{t} a_{11}^{t-1} b_{1}^{t} a_{22}^{t-1} b_{2}^{t} a_{33}^{t-1} b_{3}^{t} a_{44}^{t-1} b_{4}^{t} a_{55}^{t-1} b_{5}^{t} a_{66}^{t-1} b_{6}^{t} a_{77}^{t-1} b_{7}^{t} a_{91}^{t-1} a_{82}^{t-1} a_{96}^{t-1} a_{87}^{t-1} a_{21}^{t-1} a_{32}^{t-1} a_{43}^{t-1} a_{45}^{t-1} a_{56}^{t-1} a_{67}^{t-1})
Dataset 1: (cos, cos, tanh, cos, cos, tanh, sin, sin, cos, cos, 0.4690047938595834 0.1 0.9479395907855845 0.1 -0.29836394982267844 0.1 0.6166910968112946 0.1 -0.7607663922852423 0.1 0.48472191233851225 0.1 -0.8291799516287115 0.1 0.4364828031175205 0.1 0.5268354929774564 0.1 -0.19300869563585188 -0.12191052050753881 0.992930439066902 -0.19300869563585188 0.2855027465512183 0.6459192165734338 0.2713659185844768 0.20383470102736645 -0.796545823357069 -0.3399476272107236)
Dataset 2: (tanh, tanh, tanh, sin, abso, abso, cos, tanh, sin, cos, -0.3358101964117972 0.1 0.5447388334483942 0.1 0.5082633759535873 0.1 0.40617918107666995 0.1 -0.46459276971425 0.1 -0.6851570258267166 0.1 -0.20555335046522538 0.1 -0.760348443323906 0.1 -0.593586653252502 0.1 0.20051244835975846 0.7515100303159525 -0.24492376826010887 0.20051244835975846 -0.6620830194043714 -0.5387740887791161 -0.1621695721174352 0.8193555241065384 -0.19869964710418042 0.849009571915287)
Dataset 3: (sin ,tanh, abso, sin, sin, sin, abso, tanh, cos, cos, -0.3103409580696437 0.1 0.19157917654309542 0.1 0.8426129833739384 0.1 -0.7785931638047321 0.1 -0.2736216345620959 0.1 0.14770635555285816 0.1 -0.7179880560115182 0.1 0.653761128421966 0.1 0.7201756767517731 0.1 -0.6309508974170932 -0.8767640693586936 0.7494840368372981 -0.6309508974170932 -0.8006289329648033 -0.9428603336487935 0.7896662128845298 -0.18586585246320375 0.627319023438303 -0.8846881280610717)
Dataset 4: (cos, abso, tanh, sin, tanh, tanh, cos, abso, cos, sin, 0.5660587484803361 0.1 0.47755069621613533 0.1 0.4381340205670323 0.1 0.9393505225427887 0.1 0.3656772262816901 0.1 0.4857863582309987 0.1 0.24976386266936368 0.1 -0.9793254574897177 0.1 -0.7429317544856375 0.1 -0.27170267925698743 -0.1298682334142911 0.4037067134576622 -0.27170267925698743 0.48452571339971384 -0.5406549997619869 0.8856923241775136 -0.7213255591853303 0.4291578543681691 -0.935729535716358)
Dataset 5: (cos, tanh, tanh, abso, tanh, abso, cos, abso, tanh, cos, -0.4515693667452767 0.1 0.8688127262664711 0.1 0.8028844799520938 0.1 0.21166703751962834 0.1 0.2997384375385874 0.1 0.5178068614229168 0.1 0.9321157939268161 0.1 -0.4327175549763074 0.1 0.8937925603149124 0.1 -0.18935075192165818 0.6051300561023223 -0.45848715361818226 -0.18935075192165818 -0.11001891076419312 -0.14774866126893316 -0.899020848460091 -0.11692120806183981 0.8906255182910714 0.6865463349381786)
Dataset 6: (sin, abso, sin, abso, cos, abso, cos, sin, abso, sin, 0.13789374331826032 0.1 -0.8572497357974211 0.1 0.6532219131540213 0.1 0.7176426973103909 0.1 0.10703254609435198 0.1 -0.24780360785385924 0.1 -0.7941666311583362 0.1 -0.746883608238494 0.1 -0.6032283124007425 0.1 -0.8153517578253651 -0.915954705975357 -0.3574092417804282 -0.8153517578253651 0.3578617903248109 -0.15583396852082876 0.8871277503575612 0.456595767106835 -0.2634834641765724 0.6987299609768283)
Dataset 7: (tanh, cos, abso, tanh, cos, abso, tanh, abso, abso, sin, 0.3419187109634674 0.1 -0.5030340420904331 0.1 0.5285886663743655 0.1 0.29670785570237657 0.1 0.5235518393245164 0.1 -0.7011177931845314 0.1 -0.6011658595445111 0.1 0.3665603050569055 0.1 -0.31956231453851514 0.1 -0.3039431585394128 0.32522024085766543 -0.28271759792215057 -0.3039431585394128 0.4630971950858358 0.5156037354807526 -0.6955964348207855 0.599419937131366 0.8931889119773166 -0.5234924893818189)
Dataset 8: (tanh, cos, abso, abso, cos, cos, cos, sin, cos, tanh, 0.8317248486186986 0.1 -0.8403220343242301 0.1 0.44081072169639857 0.1 -0.4081907684569219 0.1 0.9110827240715147 0.1 -0.8879223103663403 0.1 -0.7019225248137875 0.1 -0.7027337629717276 0.1 0.5142907242113686 0.1 0.3193487914461812 -0.9518771556520282 -0.4470039387919378 0.3193487914461812 -0.320250691131825 -0.9626204379237815 0.7926319106510715 0.19224167179500395 0.48017063552868966 0.9159652739414339)
Dataset 9: (tanh, sin, tanh, tanh, cos, abso, tanh, cos, cos, abso, -0.21433143804375399 0.1 0.7106303179780467 0.1 -0.4043599992956515 0.1 -0.4739075499050336 0.1 -0.5319858525655499 0.1 0.33008135626490676 0.1 -0.7461843545418902 0.1 0.22206114361940887 0.1 0.13768409633544243 0.1 0.48251057063493263 0.415078068093081 0.4480149095132864 0.48251057063493263 -0.37751669778911956 0.23767037216560905 0.1649026796325208 0.8643023923292661 -0.4529816883528124 -0.5986410260748003)
Dataset 10: (cos, cos, abso, cos, sin, sin, sin, cos, sin, abso, -0.8930925430538972 0.1 -0.554550604752432 0.1 0.8746807898600222 0.1 0.2582102484789708 0.1 0.46259092304635074 0.1 0.5123028191188166 0.1 -0.15232149289922603 0.1 -0.23542594375377068 0.1 -0.9926898627440199 0.1 0.5459267915197077 -0.2747273273613835 0.18694760312846181 0.5459267915197077 0.614606088471146 -0.9023995756694536 -0.9963797368721001 0.23363244823550922 0.19621989802649908 0.1625139174036352
fork structure with different sampling rate
No full textThis structure is generated by the following equations:
V^{(1)}_t = a_{11}^{t-1} * V^{(1)}_{t - 1} + b_{1}^{t} * \eps^1_t
V^{(2)}_t = a_{22}^{t-1} * V^{(2)}_{t - 1} + a_{12}^{t-1} * f(V^{(1)}_{t - 1}) + b_{2}^{t} * \eps^2_t
V^{(3)}_t = a_{33}^{t-2} * V^{(3)}_{t -2} + a_{13}^{t-2} * g(V^{(1)}_{t - 2}) + b_{3}^{t} * \eps^3_t for t%2 == 0
We present below the characteristics of each dataset in the following form: (f(), g(), a_{11}^{t-1} b_{1}^{t} a_{22}^{t-1} b_{2}^{t} a_{33}^{t-1} b_{3}^{t} a_{12}^{t-1} a_{13}^{t-2})
Dataset 1: (abso, tanh, -0.3699361331241453 0.1 0.3161208615068922 0.1 -0.2363490322338957 0.1 -0.22880097522132448 0.24306200315342608)
Dataset 2: (tanh, tanh, -0.45088901737058884 0.1 -0.5049523437439734 0.1 -0.23912014762598788 0.1 -0.10325271020569993 0.7873766287095652)
Dataset 3: (tanh, sin, 0.7930103819840089 0.1 0.19504243966386414 0.1 0.8840652564435134 0.1 0.6629027828151408 0.23547876432744697)
Dataset 4: (abso, tanh, 0.7943275308593616 0.1 -0.7759848046608431 0.1 -0.623677017045875 0.1 -0.7383399199106677 -0.11855529995628933)
Dataset 5: (sin, sin, 0.256086048358537 0.1 -0.14477078888448647 0.1 0.30103146916183454 0.1 -0.9673057274489223 0.5287051820012552)
Dataset 6: (sin, abso, 0.6747045268600222 0.1 0.649657313651451 0.1 0.7784498897392678 0.1 0.38390606423309004 -0.9649074283617511)
Dataset 7: (cos, abso, 0.14573687608102737 0.1 -0.7059698692397858 0.1 -0.3245043416841211 0.1 -0.5811576720181868 -0.8263972836584903)
Dataset 8: (abso, abso, 0.5284812027494568 0.1 -0.1725023723393413 0.1 0.45721703518389356 0.1 -0.6942436019409397 0.7077795117202967)
Dataset 9: (tanh, cos, 0.41729031657734783 0.1 -0.21854259329506664 0.1 0.20616273064126855 0.1 -0.7797294278325508 -0.1260612794202709)
Dataset 10: (cos, cos, 0.6125159746673405 0.1 -0.7233943050608049 0.1 -0.13702376727771082 0.1 -0.14928558123954971 -0.11666721635492361
mediator structure
No full text
V^{(1)}_t = a_{11}^{t-1} * V^{(1)}_{t - 1} + b_{1}^{t} * \eps^1_t
V^{(2)}_t = a_{22}^{t-1} * V^{(2)}_{t - 1} + a_{12}^{t-1} * f(V^{(1)}_{t - 1}) + b_{2}^{t} * \eps^2_t
V^{(3)}_t = a_{33}^{t-1} * V^{(3)}_{t - 1} + a_{13}^{t-2} * g(V^{(1)}_{t - 2}) + a_{23}^{t-1} * h(V^{(2)}_{t - 1}) + b_{3}^{t} * \eps^3_t
We present below the characteristics of each dataset in the following form: (f(), g(), h(), a_{11}^{t-1} b_{1}^{t} a_{22}^{t-1} b_{2}^{t} a_{33}^{t-1} b_{3}^{t} a_{12}^{t-1} a_{13}^{t-2} a_{23}^{t-1})
Dataset 1: (abso, abso, cos, 0.4690047938595834 0.1 0.9479395907855845 0.1 0.5268354929774564 0.1 0.48472191233851225 0.6166910968112946 0.4364828031175205)
Dataset 2: (sin, abso, tanh,-0.3358101964117972 0.1 0.5447388334483942 0.1 -0.593586653252502 0.1 -0.6851570258267166 0.40617918107666995 -0.760348443323906)
Dataset 3: (sin, tanh, tanh, -0.3103409580696437 0.1 0.19157917654309542 0.1 0.7201756767517731 0.1 0.14770635555285816 -0.7785931638047321 0.653761128421966)
Dataset 4: (tanh, abso, cos, 0.5660587484803361 0.1 0.47755069621613533 0.1 -0.7429317544856375 0.1 0.4857863582309987 0.9393505225427887 -0.9793254574897177)
Dataset 5: (abos, abso, sin, -0.4515693667452767 0.1 0.8688127262664711 0.1 0.8937925603149124 0.1 0.5178068614229168 0.21166703751962834 -0.4327175549763074)
Dataset 6: (abso, abso, tanh, 0.13789374331826032 0.1 -0.8572497357974211 0.1 -0.6032283124007425 0.1 -0.24780360785385924 0.7176426973103909 -0.746883608238494)
Dataset 7: (tanh, cos, tanh, 0.3419187109634674 0.1 -0.5030340420904331 0.1 -0.31956231453851514 0.1 -0.7011177931845314 0.29670785570237657 0.3665603050569055)
Dataset 8: (tanh, abso, cos, 0.8317248486186986 0.1 -0.8403220343242301 0.1 0.5142907242113686 0.1 -0.8879223103663403 -0.4081907684569219 -0.7027337629717276)
Dataset 9: (tanh, tanh, sin, -0.21433143804375399 0.1 0.7106303179780467 0.1 0.13768409633544243 0.1 0.33008135626490676 -0.4739075499050336 0.22206114361940887)
Dataset 10: (sin, cos, sin, -0.8930925430538972 0.1 -0.554550604752432 0.1 -0.9926898627440199 0.1 0.5123028191188166 0.2582102484789708 -0.23542594375377068
fork structure
No full textThis structure is generated by the following equations:
V^{(1)}_t = a_{11}^{t-1} * V^{(1)}_{t - 1} + b_{1}^{t} * \eps^1_t
V^{(2)}_t = a_{22}^{t-1} * V^{(2)}_{t - 1} + a_{12}^{t-1} * f(V^{(1)}_{t - 1}) + b_{2}^{t} * \eps^2_t
V^{(3)}_t = a_{33}^{t-1} * V^{(3)}_{t - 1} + a_{13}^{t-2} * g(V^{(1)}_{t - 2}) + b_{3}^{t} * \eps^3_t
We present below the characteristics of each dataset in the following form: (f(), g(), a_{11}^{t-1} b_{1}^{t} a_{22}^{t-1} b_{2}^{t} a_{33}^{t-1} b_{3}^{t} a_{12}^{t-1} a_{13}^{t-2})
Dataset 1: (abso, tanh, -0.3699361331241453 0.1 0.3161208615068922 0.1 -0.2363490322338957 0.1 -0.22880097522132448 0.24306200315342608)
Dataset 2: (tanh, tanh, -0.45088901737058884 0.1 -0.5049523437439734 0.1 -0.23912014762598788 0.1 -0.10325271020569993 0.7873766287095652)
Dataset 3: (tanh, sin, 0.7930103819840089 0.1 0.19504243966386414 0.1 0.8840652564435134 0.1 0.6629027828151408 0.23547876432744697)
Dataset 4: (abso, tanh, 0.7943275308593616 0.1 -0.7759848046608431 0.1 -0.623677017045875 0.1 -0.7383399199106677 -0.11855529995628933)
Dataset 5: (sin, sin, 0.256086048358537 0.1 -0.14477078888448647 0.1 0.30103146916183454 0.1 -0.9673057274489223 0.5287051820012552)
Dataset 6: (sin, abso, 0.6747045268600222 0.1 0.649657313651451 0.1 0.7784498897392678 0.1 0.38390606423309004 -0.9649074283617511)
Dataset 7: (cos, abso, 0.14573687608102737 0.1 -0.7059698692397858 0.1 -0.3245043416841211 0.1 -0.5811576720181868 -0.8263972836584903)
Dataset 8: (abso, abso, 0.5284812027494568 0.1 -0.1725023723393413 0.1 0.45721703518389356 0.1 -0.6942436019409397 0.7077795117202967)
Dataset 9: (tanh, cos, 0.41729031657734783 0.1 -0.21854259329506664 0.1 0.20616273064126855 0.1 -0.7797294278325508 -0.1260612794202709)
Dataset 10: (cos, cos, 0.6125159746673405 0.1 -0.7233943050608049 0.1 -0.13702376727771082 0.1 -0.14928558123954971 -0.11666721635492361
mediator structure with different sampling rate
No full text
V^{(1)}_t = a_{11}^{t-1} * V^{(1)}_{t - 1} + b_{1}^{t} * \eps^1_t
V^{(2)}_t = a_{22}^{t-1} * V^{(2)}_{t - 1} + a_{12}^{t-1} * f(V^{(1)}_{t - 1}) + b_{2}^{t} * \eps^2_t
V^{(3)}_t = a_{33}^{t-2} * V^{(3)}_{t - 2} + a_{13}^{t-2} * g(V^{(1)}_{t - 2}) + a_{23}^{t-1} * h(V^{(2)}_{t - 1}) + b_{3}^{t} * \eps^3_t for t%2==0
We present below the characteristics of each dataset in the following form: (f(), g(), h(), a_{11}^{t-1} b_{1}^{t} a_{22}^{t-1} b_{2}^{t} a_{33}^{t-1} b_{3}^{t} a_{12}^{t-1} a_{13}^{t-2} a_{23}^{t-1})
Dataset 1: (abso, abso, cos, 0.4690047938595834 0.1 0.9479395907855845 0.1 0.5268354929774564 0.1 0.48472191233851225 0.6166910968112946 0.4364828031175205)
Dataset 2: (sin, abso, tanh,-0.3358101964117972 0.1 0.5447388334483942 0.1 -0.593586653252502 0.1 -0.6851570258267166 0.40617918107666995 -0.760348443323906)
Dataset 3: (sin, tanh, tanh, -0.3103409580696437 0.1 0.19157917654309542 0.1 0.7201756767517731 0.1 0.14770635555285816 -0.7785931638047321 0.653761128421966)
Dataset 4: (tanh, abso, cos, 0.5660587484803361 0.1 0.47755069621613533 0.1 -0.7429317544856375 0.1 0.4857863582309987 0.9393505225427887 -0.9793254574897177)
Dataset 5: (abos, abso, sin, -0.4515693667452767 0.1 0.8688127262664711 0.1 0.8937925603149124 0.1 0.5178068614229168 0.21166703751962834 -0.4327175549763074)
Dataset 6: (abso, abso, tanh, 0.13789374331826032 0.1 -0.8572497357974211 0.1 -0.6032283124007425 0.1 -0.24780360785385924 0.7176426973103909 -0.746883608238494)
Dataset 7: (tanh, cos, tanh, 0.3419187109634674 0.1 -0.5030340420904331 0.1 -0.31956231453851514 0.1 -0.7011177931845314 0.29670785570237657 0.3665603050569055)
Dataset 8: (tanh, abso, cos, 0.8317248486186986 0.1 -0.8403220343242301 0.1 0.5142907242113686 0.1 -0.8879223103663403 -0.4081907684569219 -0.7027337629717276)
Dataset 9: (tanh, tanh, sin, -0.21433143804375399 0.1 0.7106303179780467 0.1 0.13768409633544243 0.1 0.33008135626490676 -0.4739075499050336 0.22206114361940887)
Dataset 10: (sin, cos, sin, -0.8930925430538972 0.1 -0.554550604752432 0.1 -0.9926898627440199 0.1 0.5123028191188166 0.2582102484789708 -0.23542594375377068
diamond structure
No full text
V^{(1)}_t = a_{11}^{t-1} * V^{(1)}_{t - 1} + b_{1}^{t} * \eps^1_t
V^{(2)}_t = a_{22}^{t-1} * V^{(2)}_{t - 1} + a_{12}^{t-1} * f(V^{(1)}_{t - 1}) + b_{2}^{t} * \eps^2_t
V^{(3)}_t = a_{33}^{t-1} * V^{(3)}_{t - 1} + a_{13}^{t-2} * g(V^{(1)}_{t - 2}) + b_{3}^{t} * \eps^3_t
V^{(4)}_t = a_{44}^{t-1} * V^{(4)}_{t - 1} + a_{24}^{t-1} * h(V^{(2)}_{t - 1}) + a_{34}^{t-1} * k(V^{(3)}_{t - 1}) + b_{4}^{t} * \eps^4_t
We present below the characteristics of each dataset in the following form: (f(), g(), h(), k(), a_{11}^{t-1} b_{1}^{t} a_{22}^{t-1} b_{2}^{t} a_{33}^{t-1} b_{3}^{t} a_{12}^{t-1} a_{13}^{t-2} a_{24}^{t-1} a_{34}^{t-1})
Dataset 1: (sin, abso, cos, abso, 0.9309567078069418 0.1 -0.778529554582533 0.1 0.2300116194112345 0.1 -0.22296240378428722 0.1 -0.9016841569972256 -0.6896374472205666 0.10106602963375222 0.48008049653674933)
Dataset 2: (sin, abso, cos, sin, -0.6445525445106195 0.1 -0.3780525405462092 0.1 -0.701796066340127 0.1 0.20731717253819482 0.1 0.8131051091268042 -0.890858737148861 0.2653890918892732 0.23697535900073197)
Dataset 3: (tanh, sin, sin, sin, 0.41729031657734783 0.1 -0.21854259329506664 0.1 0.20616273064126855 0.1 -0.7797294278325508 0.1 -0.1260612794202709 0.6310044264068297 -0.18787068647253413 0.5650656324046182)
Dataset 4: (abso, cos, tanh, cos, 0.14478485711277966 0.1 -0.28216629933091975 0.1 -0.26674061963976925 0.1 0.18504798424111368 0.1 -0.7996863438191957 -0.867099397739937 -0.9951612487921924 -0.14521085818905433)
Dataset 5: (cos, tanh, sin, tanh, -0.9837934337769325 0.1 -0.43394819890144753 0.1 0.3884834328535811 0.1 -0.8536098912129784 0.1 0.5213495591191433 0.3165955847380819 0.9091455508726818 0.510568968961665)
Dataset 6: (sin, abso, tanh, abso , 0.33892872454094913 0.1 0.5148639129962742 0.1 -0.4569622735764802 0.1 0.9477074909578327 0.1 0.6377908667571701 -0.46830609659539135 -0.5798139877544422 0.4356478854733741)
Dataset 7: (abso, tanh, sin, sin, 0.5121641023339085 0.1 0.694715274534131 0.1 0.9837227558611266 0.1 -0.3105830731679686 0.1 -0.527918758018074 -0.2370548163098869 -0.2833005908651798 -0.5871738972215943)
Dataset 8: (cos, abso, cos, cos, -0.7061341235944874 0.1 -0.9331272275300622 0.1 -0.18701994675742517 0.1 -0.16023556394146676 0.1 -0.10950368295420954 -0.4933970461539452 -0.6146655566431816 0.7923388730694947)
Dataset 9: (sin, sin, cos, abso, 0.1434182590382893 0.1 0.850704862471533 0.1 0.4613899443716907 0.1 0.7205483099170031 0.1 -0.2720159082576563 0.42184537910443054 -0.13289914190854013 0.9474762557759804)
Dataset 10: (sin, sin, abso, abso, -0.9626878741800082 0.1 -0.9906819486585603 0.1 -0.20280713860380106 0.1 0.14333518073117246 0.1 -0.39449807494635114 -0.7905654574225724 -0.14839637300417796 -0.3380778677752805
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