Library/Gaussian Kernels

Normalized 1D Gaussian Kernel Values

Sigma = 1
Kernel 3 [ 0.274068619061197, 0.45186276187760605, 0.274068619061197 ] Kernel 5 [ 0.054488684549642945, 0.24420134200323335, 0.40261994689424746, 0.24420134200323335, 0.054488684549642945 ] Kernel 7 [ 0.004433048175243747, 0.05400558262241449, 0.24203622937611433, 0.3990502796524549, 0.24203622937611433, 0.05400558262241449, 0.004433048175243747 ] Kernel 9 [ 0.00013383062461474183, 0.004431861620031267, 0.053991127420704416, 0.24197144565660075, 0.39894346935609776, 0.24197144565660075, 0.053991127420704416, 0.004431861620031267, 0.00013383062461474183 ] Kernel 11 [ 0.0000014867195248729367, 0.00013383022667753653, 0.004431848442160862, 0.0539909668813778, 0.24197072616925527, 0.3989422831220073, 0.24197072616925527, 0.0539909668813778, 0.004431848442160862, 0.00013383022667753653, 0.0000014867195248729367, ]

Sigma = 2
Kernel 3 [ 0.3191677684538592, 0.36166446309228156, 0.3191677684538592, ] Kernel 5 [ 0.15246914402033737, 0.22184129554377696, 0.25137912087177144, 0.22184129554377696, 0.15246914402033737, ] Kernel 7 [ 0.07015932695902607, 0.13107487896736597, 0.19071282356963737, 0.21610594100794114, 0.19071282356963737, 0.13107487896736597, 0.07015932695902607, ] Kernel 9 [ 0.027630550638898826, 0.0662822452863612, 0.1238315368057753, 0.18017382291138087, 0.20416368871516752, 0.18017382291138087, 0.1238315368057753, 0.0662822452863612, 0.027630550638898826, ] Kernel 11 [ 0.008812229292562286, 0.02714357714347937, 0.06511405659938267, 0.12164907301380959, 0.17699835683135567, 0.20056541423882082, 0.17699835683135567, 0.12164907301380959, 0.06511405659938267, 0.02714357714347937, 0.008812229292562286, ]

Sigma = 3
Kernel 3 [ 0.32710442071449247, 0.345791158571015, 0.32710442071449247, ] Kernel 5 [ 0.17820325762657838, 0.2105222740037377, 0.2225489367393678, 0.2105222740037377, 0.17820325762657838, ] Kernel 7 [ 0.10628851940631442, 0.14032133681355632, 0.1657700723919223, 0.17524014277641395, 0.1657700723919223, 0.14032133681355632, 0.10628851940631442, ] Kernel 9 [ 0.06297020422491455, 0.09290249985875561, 0.12264921034103102, 0.14489292176612587, 0.153170327618346, 0.14489292176612587, 0.12264921034103102, 0.09290249985875561, 0.06297020422491455, ] Kernel 11 [ 0.03548293455858953, 0.05850146895360722, 0.0863095932131204, 0.11394530253264402, 0.13461046964406528, 0.142300462195947, 0.13461046964406528, 0.11394530253264402, 0.0863095932131204, 0.05850146895360722, 0.03548293455858953, ]

Sigma = 4
Kernel 3 [ 0.32984321744593287, 0.3403135651081342, 0.32984321744593287, ] Kernel 5 [ 0.1876271619513901, 0.20606812388934162, 0.21260942831853658, 0.20606812388934162, 0.1876271619513901, ] Kernel 7 [ 0.12149085090551562, 0.14203719483446736, 0.15599734045770297, 0.1609492276046281, 0.15599734045770297, 0.14203719483446736, 0.12149085090551562, ] Kernel 9 [ 0.08167442225838606, 0.10164546079074019, 0.11883558317985346, 0.13051535514624765, 0.1346583572495451, 0.13051535514624765, 0.11883558317985346, 0.10164546079074019, 0.08167442225838606, ] Kernel 11 [ 0.05488379677755623, 0.07270921747207892, 0.09048808316394011, 0.10579128718548256, 0.1161889986898532, 0.11987723342217792, 0.1161889986898532, 0.10579128718548256, 0.09048808316394011, 0.07270921747207892, 0.05488379677755623, ]

Sigma = 5
Kernel 3 [ 0.33110375349715626, 0.3377924930056875, 0.33110375349715626, ] Kernel 5 [ 0.19205063398313982, 0.20392638195050403, 0.20804596813271226, 0.20392638195050403, 0.19205063398313982, ] Kernel 7 [ 0.128956033546532, 0.1425184579860148, 0.15133130724683985, 0.15438840244122673, 0.15133130724683985, 0.1425184579860148, 0.128956033546532, ] Kernel 9 [ 0.09157600332787612, 0.10533747723211816, 0.11641591642039266, 0.12361467465474295, 0.1261118567297402, 0.12361467465474295, 0.11641591642039266, 0.10533747723211816, 0.09157600332787612, ] Kernel 11 [ 0.0663416657402598, 0.07942539412266238, 0.09136094982320735, 0.10096946479237724, 0.10721306780167111, 0.1093789154396443, 0.10721306780167111, 0.10096946479237724, 0.09136094982320735, 0.07942539412266238, 0.0663416657402598, ]

Sigma = 6
Kernel 3 [ 0.3317865678454581, 0.33642686430908364, 0.3317865678454581, ] Kernel 5 [ 0.19446847812311577, 0.20274251002426188, 0.20557802370524475, 0.20274251002426188, 0.19446847812311577, ] Kernel 7 [ 0.13312013507809142, 0.14269313797075572, 0.1487642893832598, 0.15084487513578623, 0.1487642893832598, 0.14269313797075572, 0.13312013507809142, ] Kernel 9 [ 0.09728546794048122, 0.10721882581134702, 0.11492920057199446, 0.1198190823722926, 0.12149484660776938, 0.1198190823722926, 0.11492920057199446, 0.10721882581134702, 0.09728546794048122, ] Kernel 11 [ 0.07327261223290527, 0.083028747203882, 0.09150641891586254, 0.0980868750764954, 0.10226016805075756, 0.10369035704019461, 0.10226016805075756, 0.0980868750764954, 0.09150641891586254, 0.083028747203882, 0.07327261223290527, ]