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This commit is contained in:
Jens True
2024-02-02 14:53:38 +00:00
parent 968c78d989
commit 3dddfc05db
46 changed files with 156 additions and 55 deletions
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16
tests/Numerics/GaussianDistributionTest.php
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@ -1,5 +1,7 @@
<?php
declare(strict_types=1);
namespace DNW\Skills\Tests\Numerics;
use DNW\Skills\Numerics\BasicMath;
@ -39,9 +41,9 @@ class GaussianDistributionTest extends TestCase
public function testMultiplication(): void
{
// I verified this against the formula at http://www.tina-vision.net/tina-knoppix/tina-memo/2003-003.pdf
$standardNormal = new GaussianDistribution(0, 1);
$standardNormal = new GaussianDistribution(0, 1);
$shiftedGaussian = new GaussianDistribution(2, 3);
$product = GaussianDistribution::multiply($standardNormal, $shiftedGaussian);
$product = GaussianDistribution::multiply($standardNormal, $shiftedGaussian);
$this->assertEqualsWithDelta(0.2, $product->getMean(), GaussianDistributionTest::ERROR_TOLERANCE);
$this->assertEqualsWithDelta(3.0 / sqrt(10), $product->getStandardDeviation(), GaussianDistributionTest::ERROR_TOLERANCE);
@ -61,15 +63,15 @@ class GaussianDistributionTest extends TestCase
public function testDivision(): void
{
// Since the multiplication was worked out by hand, we use the same numbers but work backwards
$product = new GaussianDistribution(0.2, 3.0 / sqrt(10));
$product = new GaussianDistribution(0.2, 3.0 / sqrt(10));
$standardNormal = new GaussianDistribution(0, 1);
$productDividedByStandardNormal = GaussianDistribution::divide($product, $standardNormal);
$this->assertEqualsWithDelta(2.0, $productDividedByStandardNormal->getMean(), GaussianDistributionTest::ERROR_TOLERANCE);
$this->assertEqualsWithDelta(3.0, $productDividedByStandardNormal->getStandardDeviation(), GaussianDistributionTest::ERROR_TOLERANCE);
$product2 = new GaussianDistribution((4 * BasicMath::square(7) + 6 * BasicMath::square(5)) / (BasicMath::square(5) + BasicMath::square(7)), sqrt(((BasicMath::square(5) * BasicMath::square(7)) / (BasicMath::square(5) + BasicMath::square(7)))));
$m4s5 = new GaussianDistribution(4, 5);
$product2 = new GaussianDistribution((4 * BasicMath::square(7) + 6 * BasicMath::square(5)) / (BasicMath::square(5) + BasicMath::square(7)), sqrt(((BasicMath::square(5) * BasicMath::square(7)) / (BasicMath::square(5) + BasicMath::square(7)))));
$m4s5 = new GaussianDistribution(4, 5);
$product2DividedByM4S5 = GaussianDistribution::divide($product2, $m4s5);
$this->assertEqualsWithDelta(6.0, $product2DividedByM4S5->getMean(), GaussianDistributionTest::ERROR_TOLERANCE);
$this->assertEqualsWithDelta(7.0, $product2DividedByM4S5->getStandardDeviation(), GaussianDistributionTest::ERROR_TOLERANCE);
@ -93,7 +95,7 @@ class GaussianDistributionTest extends TestCase
// Verified with Ralf Herbrich's F# implementation
$m1s2 = new GaussianDistribution(1, 2);
$m3s4 = new GaussianDistribution(3, 4);
$lrn = GaussianDistribution::logRatioNormalization($m1s2, $m3s4);
$lrn = GaussianDistribution::logRatioNormalization($m1s2, $m3s4);
$this->assertEqualsWithDelta(2.6157405972171204, $lrn, GaussianDistributionTest::ERROR_TOLERANCE);
}
@ -101,7 +103,7 @@ class GaussianDistributionTest extends TestCase
{
// Verified with Ralf Herbrich's F# implementation
$standardNormal = new GaussianDistribution(0, 1);
$absDiff = GaussianDistribution::absoluteDifference($standardNormal, $standardNormal);
$absDiff = GaussianDistribution::absoluteDifference($standardNormal, $standardNormal);
$this->assertEqualsWithDelta(0.0, $absDiff, GaussianDistributionTest::ERROR_TOLERANCE);
$m1s2 = new GaussianDistribution(1, 2);