PCA returns all 0's

[danthegoodman1]

Using with a 1536 vector, I get [0, 0, 0] printed out from a single row.

Example code:

package main

import (
	"fmt"
	"github.com/sjwhitworth/golearn/pca"
	"gonum.org/v1/gonum/mat"
)

func main() {
	embeddings := mat.NewDense(1, 1536, []float64{
		0.0051681744,
		0.017187592,
		-0.018685209,
		-0.01855924,
		-0.04725188,
		-0.030288232,
		0.027670903,
		0.0036775568,
		0.011253114,
		0.0064068567,
		-0.0016953152,
		0.015801948,
		-0.0013007914,
		-0.007872981,
		0.059904635,
		0.050247114,
		-0.027516942,
		0.009923455,
		-0.04039364,
		0.050051164,
		-0.00042557836,
		0.030232247,
		-0.01368849,
		0.032919556,
		0.017299563,
		0.016795693,
		-0.0017548,
		0.02043476,
		0.04078554,
		-0.03770633,
		-0.026117302,
		-0.049995176,
		0.024185797,
		-0.055257827,
		-0.03224773,
		0.04235314,
		0.06466342,
		0.014724224,
		-0.015647987,
		-0.041401383,
		0.022198306,
		0.007341117,
		0.04495647,
		0.007106677,
		-0.024087822,
		0.05240256,
		-0.020084849,
		-0.03224773,
		0.01622184,
		0.046412095,
		0.0237799,
		-0.018867161,
		-0.005353627,
		0.04397672,
		-0.006172417,
		0.0073271208,
		-0.014948166,
		0.072669365,
		-0.0054865927,
		-0.037678335,
		0.016081875,
		0.034263212,
		0.0071101766,
		-0.004748282,
		-0.026677158,
		0.028944576,
		-0.038546115,
		0.023206048,
		-0.0051436806,
		0.011903947,
		0.025515456,
		-0.014612253,
		-0.01111315,
		0.0038000254,
		0.0006403358,
		-0.023262033,
		-0.016291821,
		-0.0043703793,
		0.020714687,
		-0.004202422,
		0.040253676,
		-0.0028360228,
		-0.0253475,
		-0.020168828,
		-0.048203636,
		0.020658702,
		-0.07558062,
		0.02795083,
		-0.01707562,
		0.008299871,
		-0.018335298,
		-0.012064906,
		-0.022590207,
		-0.0070751854,
		-0.015885925,
		0.0055530756,
		-0.0327516,
		0.0041149445,
		-0.0058504995,
		-0.038462136,
		0.047111917,
		-0.012036913,
		-0.020056857,
		0.002643572,
		-0.031547908,
		0.011134145,
		0.011952935,
		-0.0024266276,
		-0.046803996,
		-0.021316532,
		-0.08532212,
		0.007229146,
		0.0062354007,
		0.020602716,
		0.001294668,
		0.004223417,
		0.06886234,
		-0.014514278,
		0.021722429,
		-0.022646192,
		0.025291514,
		-0.0028272748,
		0.031827837,
		-0.056909405,
		0.0036705586,
		-0.041009482,
		0.0056370543,
		-0.03555088,
		-0.037958264,
		0.0154660335,
		0.02124655,
		-0.048567545,
		-0.0111761335,
		-0.009342604,
		-0.05021912,
		-0.007124173,
		-0.04585224,
		0.041233424,
		-0.030512175,
		0.04268905,
		-0.015410048,
		-0.02975637,
		-0.0033188988,
		-0.011617021,
		-0.02464768,
		-0.018321302,
		-0.03227572,
		-0.006140925,
		-0.024269776,
		0.0187132,
		-0.035578877,
		0.034795076,
		-0.06634299,
		0.03401128,
		0.027069058,
		-0.013898435,
		0.02620128,
		-0.024451729,
		-0.044424605,
		0.0047342856,
		-0.021778414,
		-0.057077363,
		-0.0049932194,
		0.013464547,
		-0.033479415,
		-0.0460202,
		0.03790228,
		0.024353754,
		-0.0436688,
		0.023276031,
		-0.013114637,
		-0.041009482,
		-0.049267363,
		-0.0054620993,
		-0.008705767,
		0.042129196,
		0.021232555,
		-0.010077415,
		-0.021400511,
		0.048343603,
		0.021064598,
		0.04050561,
		0.008215893,
		-0.008698769,
		-0.004118444,
		-0.0066657905,
		0.03692253,
		0.02296811,
		0.008103922,
		-0.013268597,
		0.007949961,
		-0.005794514,
		0.019441014,
		0.0011319597,
		-0.01925906,
		0.02074268,
		0.03434719,
		-0.013639502,
		0.039917763,
		0.06662291,
		0.03594278,
		0.06359969,
		-0.024591694,
		-0.0050701997,
		-0.08577,
		-0.028832605,
		-0.044704534,
		0.015130119,
		0.013184618,
		0.026117302,
		0.09120061,
		-0.019566981,
		-0.0093286075,
		-0.019902896,
		-0.050331093,
		-0.037930273,
		0.0034816072,
		0.019315047,
		0.012344834,
		-0.061080337,
		-0.018307304,
		0.029448448,
		0.060072593,
		0.024983592,
		0.028468698,
		0.0072221477,
		0.025235528,
		0.022254292,
		-0.0032034284,
		0.036054753,
		0.037762314,
		-0.026859112,
		0.009580543,
		-0.03770633,
		0.023332017,
		0.015158112,
		0.00032213613,
		-0.010287361,
		0.021400511,
		0.019273058,
		-0.07182958,
		-0.025389489,
		0.080339395,
		0.04574027,
		0.020000871,
		-0.015703972,
		-0.024045832,
		-0.027209021,
		0.026117302,
		0.036054753,
		0.021820404,
		0.015759958,
		0.02054673,
		-0.0035708342,
		0.025935348,
		-0.017439527,
		-0.02054673,
		0.031016046,
		0.04781174,
		-0.04198923,
		-0.033283465,
		-0.03423522,
		-0.037734322,
		-0.0024948602,
		-0.0041744295,
		-0.00039343035,
		0.025151549,
		0.0038595102,
		-0.00045007208,
		-0.038378157,
		-0.042213175,
		-0.0046468084,
		0.028090796,
		0.04086952,
		-0.033115506,
		0.06617503,
		-0.010875211,
		-0.02054673,
		-0.002920001,
		0.019636964,
		-0.042633064,
		0.011288105,
		0.010812227,
		-0.018615225,
		-0.029028555,
		-0.021680439,
		0.028370723,
		-0.0030652138,
		0.009804485,
		0.021064598,
		0.0027835362,
		-0.032415688,
		0.022422248,
		-0.008341861,
		-0.027041065,
		0.038546115,
		-0.018041372,
		0.024241783,
		0.013401563,
		0.05240256,
		0.030344218,
		0.053774208,
		0.004538336,
		0.0027275505,
		-0.02460569,
		0.01746752,
		0.033983283,
		-0.023206048,
		0.04436862,
		-0.013940425,
		0.015494026,
		-0.027558932,
		-0.004377377,
		-0.03462712,
		-0.07513273,
		-0.010455319,
		0.06343173,
		0.02194637,
		-0.041009482,
		-0.051954675,
		0.0526265,
		-0.019524993,
		0.041513354,
		-0.0064663417,
		0.0051226863,
		0.042885,
		0.05299041,
		0.015773954,
		0.014486285,
		-0.010462317,
		0.017915405,
		-0.07233345,
		0.02639723,
		-0.016123865,
		0.0026260766,
		-0.012183875,
		0.0011485805,
		0.020280799,
		0.04047762,
		0.046300124,
		-0.0057420274,
		-0.023639938,
		0.0151161235,
		0.008824737,
		-0.006760266,
		-0.032919556,
		-0.035158984,
		0.047895715,
		0.006441848,
		0.011631017,
		0.0070751854,
		0.028258752,
		0.027362982,
		-0.041905254,
		0.0436688,
		-0.080731295,
		-0.019832913,
		0.011770981,
		0.009125659,
		0.008376852,
		-0.024507714,
		-0.011337092,
		0.017985387,
		0.0061304276,
		-0.009769495,
		0.048147652,
		-0.020378774,
		-0.0030547166,
		0.042325146,
		-0.025375493,
		-0.004205921,
		0.0036250702,
		0.022856139,
		0.0130306585,
		-0.051254854,
		0.0028272748,
		-0.03373135,
		0.041121453,
		0.030960059,
		0.0073271208,
		-0.031687874,
		0.027069058,
		-0.041793283,
		-0.016291821,
		0.025921352,
		-0.008432837,
		0.0068407455,
		0.02823076,
		-0.037986256,
		0.0097485,
		0.031687874,
		0.014094385,
		-0.0146542415,
		0.028608663,
		-0.048007686,
		0.036642604,
		0.006914227,
		0.010798231,
		0.033423427,
		-0.04823163,
		0.07843588,
		-0.014808202,
		-0.008691771,
		-0.040057726,
		-0.039161958,
		0.0050701997,
		-0.044900484,
		-0.033479415,
		0.004937234,
		-0.030820096,
		0.056489512,
		-0.030848088,
		0.03891002,
		0.012120891,
		-0.000947382,
		0.0440607,
		0.0071521658,
		0.009020686,
		0.015508023,
		-0.0073131244,
		-0.009699512,
		-0.024395743,
		-0.033507407,
		-0.026845114,
		0.0010234875,
		0.051814713,
		0.0015815943,
		-0.058001123,
		0.028832605,
		-0.0670708,
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		0.017845424,
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		0.0056335554,
		0.010000436,
		0.05475396,
		0.028104791,
		-0.027293,
		-0.027237015,
		0.015312073,
		-0.024983592,
		-0.05072299,
		-0.020098845,
		0.027782874,
		0.012393821,
		0.042605072,
		0.023877876,
		-0.009888464,
		-0.023877876,
		-0.007271135,
		-0.003360888,
		-0.033423427,
		-0.028020814,
		-0.008250884,
		-0.038210202,
		-0.009965444,
		0.031883825,
		0.059400767,
		-0.028090796,
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		0.035158984,
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		0.02635524,
		0.004632812,
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		0.10413329,
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		-0.03387131,
		-0.002802781,
		0.0016996891,
		-0.037454393,
		0.024465725,
		0.015214098,
		0.00079648325,
		0.014724224,
		0.021302536,
		-0.028860599,
		-0.010147397,
		-0.016515763,
		0.03048418,
		0.009104665,
		0.0058539985,
		0.046971954,
		-0.02366793,
		-0.027516942,
		0.0075930525,
		0.0011835714,
		0.015759958,
		-0.0067952573,
		-0.022562213,
		0.035298947,
		-0.02986834,
		-0.023108073,
		-0.0155780045,
		0.020812662,
		0.018223327,
		0.013163624,
		0.014248346,
		0.008621789,
		-0.018839167,
		0.036250703,
		-0.008663778,
		-0.016809689,
		0.005514586,
		0.007236144,
		-0.01953899,
		-0.015773954,
		0.006525826,
		0.0072921296,
		0.03333945,
		0.02308008,
		0.05119887,
		0.020630708,
		0.03255565,
		0.012365828,
		-0.0028640155,
		-0.020574722,
		0.012848705,
		0.00088133645,
		0.009636529,
		-0.00048681264,
		-0.0075860545,
		0.022940116,
		-0.018937143,
		0.013289591,
		0.031463932,
		-0.0010331101,
		-0.018979132,
		0.002585837,
		-0.014472288,
		-0.02795083,
		0.0054865927,
		0.021526478,
		-0.016207844,
		0.036250703,
		0.004604819,
		-0.044620555,
		0.011938938,
		0.010553294,
		0.030932067,
		-0.017649474,
		-0.017523507,
		-0.044844497,
		-0.011610023,
		-0.009363598,
		-0.04137339,
		0.022520224,
		0.002507107,
		0.013611509,
		-0.008439835,
		0.056685463,
		-0.013436554,
		-0.019860907,
		-0.009503563,
		-0.010623275,
	})
	p := pca.NewPCA(3)
	reducedDim := p.FitTransform(embeddings)

	rows, _ := reducedDim.Dims()

	for i := 0; i < rows; i++ {
		vector := reducedDim.RowView(i)
		fmt.Println(mat.Formatted(vector.T()))
	}
}

[dreaminglwj]

您好，您的邮件已收到，我会尽快查看，^_^

[riverlaker]

邮件已收到，谢谢！                  ——赵淼

[danthegoodman1]

It seems to be an issue with using a single vector. When modifying https://github.com/sjwhitworth/golearn/blob/master/pca/pca_test.go#L10 to use only one row, i also get 0 returned

[danthegoodman1]

With sklearn I get a similar issue:

ValueError: Expected 2D array, got 1D array instead:
array=[ 0.00516817  0.01718759 -0.01868521 ... -0.01986091 -0.00950356
 -0.01062327].
Reshape your data either using array.reshape(-1, 1) if your data has a single feature or array.reshape(1, -1) if it contains a single sample.

[danthegoodman1]

Probably should throw a similar error if it's not possible, rather than just returning 0's