├── .gitignore ├── 00-NumDNN-Introduction.pdf ├── 00-NumDNN-Introduction.tex ├── 00-NumDNN-Literature.pdf ├── 00-NumDNN-Literature.tex ├── 00-NumDNN-Notation.pdf ├── 00-NumDNN-Notation.tex ├── 00-NumDNN-Overview.pdf ├── 00-NumDNN-Overview.tex ├── 01-NumDNN-Unsupervised.pdf ├── 01-NumDNN-Unsupervised.tex ├── 02-NumDNN-LinearLeastSquares.pdf ├── 02-NumDNN-LinearLeastSquares.tex ├── 03-NumDNN-LinearClassification.pdf ├── 03-NumDNN-LinearClassification.tex ├── 04-NumDNN-SingleLayer.pdf ├── 04-NumDNN-SingleLayer.tex ├── 05-NumDNN-ConvNets.pdf ├── 05-NumDNN-ConvNets.tex ├── 06-NumDNN-DeepNets.pdf ├── 06-NumDNN-DeepNets.tex ├── 07-NumDNN-ResNets.pdf ├── 07-NumDNN-ResNets.tex ├── 08-NumDNN-OptimalControl.pdf ├── 08-NumDNN-OptimalControl.tex ├── 10-NumDNN-NormalizingFlows.pdf ├── 10-NumDNN-NormalizingFlows.tex ├── LICENSE ├── NumDNN.bib ├── README.md ├── abbrv.tex ├── beamerStyle.tex ├── images ├── Alexnet-wikimedia.png ├── Circle-proptrain.png ├── Circle-train.png ├── Class_CrossEntropy.png ├── Class_Frobenius.png ├── DarkSecret.png ├── E10_Stability │ ├── Phic-Phict.png │ ├── Phic.png │ ├── Phict.png │ ├── Phif-Phift.png │ ├── Phif.png │ └── Phift.png ├── E13Conv2D-Y.png ├── E13Conv2D-Z.png ├── E13Conv2D-theta.png ├── E15-TV.png ├── NNpic.png ├── NNpic2.jpg ├── PathPlanning.png ├── PeaksStable-train-cont.png ├── PeaksStable-train.png ├── badConv.jpg ├── batchNorm.png ├── blackDogCC.jpg ├── camvidClass.jpg ├── camvidPic.jpg ├── checkDerivativeDefaultTol.tex ├── checkDerivativeLargeTol.tex ├── checkDerivativeRK4.tex ├── cifar10Sample.jpg ├── circles.jpg ├── circlesFeatSpace.jpg ├── convDiagram.pdf ├── convSD2DQuadratic.png ├── convSD2DQuadraticGood.png ├── dataSemiSup.png ├── dots.png ├── eigLap-fc.png ├── eigLap-nnc-1.png ├── eigLap-nnc-2-fiedler.png ├── eigLap-nnc-2.png ├── elmBig.png ├── elmSmall.png ├── entropy.jpg ├── exConjugateGradient2D.png ├── generalize_data.png ├── generalize_overfit.png ├── generalize_underfit.png ├── goodConv.jpg ├── groupNorm.png ├── image-model2D-data.png ├── image-model2D-spline.png ├── layerNorm.png ├── lcurve.jpg ├── lineSearch-contour.tex ├── lineSearch-linesearch.tex ├── linearClass.png ├── mayBe4.jpg ├── mayBe7.jpg ├── node │ ├── node-rk4 │ │ ├── rk4-iter-0.png │ │ ├── rk4-iter-1.png │ │ ├── rk4-iter-10.png │ │ ├── rk4-iter-100.png │ │ ├── rk4-iter-101.png │ │ ├── rk4-iter-102.png │ │ ├── rk4-iter-103.png │ │ ├── rk4-iter-104.png │ │ ├── rk4-iter-105.png │ │ ├── rk4-iter-106.png │ │ ├── rk4-iter-107.png │ │ ├── rk4-iter-108.png │ │ ├── rk4-iter-109.png │ │ ├── rk4-iter-11.png │ │ ├── rk4-iter-110.png │ │ ├── rk4-iter-111.png │ │ ├── rk4-iter-112.png │ │ ├── rk4-iter-113.png │ │ ├── rk4-iter-114.png │ │ ├── rk4-iter-115.png │ │ ├── rk4-iter-116.png │ │ ├── rk4-iter-117.png │ │ ├── rk4-iter-118.png │ │ ├── rk4-iter-119.png │ │ ├── rk4-iter-12.png │ │ ├── rk4-iter-120.png │ │ ├── rk4-iter-121.png │ │ ├── rk4-iter-122.png │ │ ├── rk4-iter-123.png │ │ ├── rk4-iter-124.png │ │ ├── rk4-iter-125.png │ │ ├── rk4-iter-126.png │ │ ├── rk4-iter-127.png │ │ ├── rk4-iter-128.png │ │ ├── rk4-iter-129.png │ │ ├── rk4-iter-13.png │ │ ├── rk4-iter-130.png │ │ ├── rk4-iter-131.png │ │ ├── rk4-iter-132.png │ │ ├── rk4-iter-133.png │ │ ├── rk4-iter-134.png │ │ ├── rk4-iter-135.png │ │ ├── rk4-iter-136.png │ │ ├── rk4-iter-137.png │ │ ├── rk4-iter-138.png │ │ ├── rk4-iter-139.png │ │ ├── rk4-iter-14.png │ │ ├── rk4-iter-140.png │ │ ├── rk4-iter-141.png │ │ ├── rk4-iter-142.png │ │ ├── rk4-iter-143.png │ │ ├── rk4-iter-144.png │ │ ├── rk4-iter-145.png │ │ ├── rk4-iter-146.png │ │ ├── rk4-iter-147.png │ │ ├── rk4-iter-148.png │ │ ├── rk4-iter-149.png │ │ ├── rk4-iter-15.png │ │ ├── rk4-iter-150.png │ │ ├── rk4-iter-151.png │ │ ├── rk4-iter-152.png │ │ ├── rk4-iter-153.png │ │ ├── rk4-iter-154.png │ │ ├── rk4-iter-155.png │ │ ├── rk4-iter-156.png │ │ ├── rk4-iter-157.png │ │ ├── rk4-iter-158.png │ │ ├── rk4-iter-159.png │ │ ├── rk4-iter-16.png │ │ ├── rk4-iter-160.png │ │ ├── rk4-iter-161.png │ │ ├── rk4-iter-162.png │ │ ├── rk4-iter-163.png │ │ ├── rk4-iter-164.png │ │ ├── rk4-iter-165.png │ │ ├── rk4-iter-166.png │ │ ├── rk4-iter-167.png │ │ ├── rk4-iter-168.png │ │ ├── rk4-iter-169.png │ │ ├── rk4-iter-17.png │ │ ├── rk4-iter-170.png │ │ ├── rk4-iter-171.png │ │ ├── rk4-iter-172.png │ │ ├── rk4-iter-173.png │ │ ├── rk4-iter-174.png │ │ ├── rk4-iter-175.png │ │ ├── rk4-iter-176.png │ │ ├── rk4-iter-177.png │ │ ├── rk4-iter-178.png │ │ ├── rk4-iter-179.png │ │ ├── rk4-iter-18.png │ │ ├── rk4-iter-180.png │ │ ├── rk4-iter-181.png │ │ ├── rk4-iter-182.png │ │ ├── rk4-iter-183.png │ │ ├── rk4-iter-184.png │ │ ├── rk4-iter-185.png │ │ ├── rk4-iter-186.png │ │ ├── rk4-iter-187.png │ │ ├── rk4-iter-188.png │ │ ├── rk4-iter-189.png │ │ ├── rk4-iter-19.png │ │ ├── rk4-iter-190.png │ │ ├── rk4-iter-191.png │ │ ├── rk4-iter-192.png │ │ ├── rk4-iter-193.png │ │ ├── rk4-iter-194.png │ │ ├── rk4-iter-195.png │ │ ├── rk4-iter-196.png │ │ ├── rk4-iter-197.png │ │ ├── rk4-iter-198.png │ │ ├── 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rk4-iter-36.png │ │ ├── rk4-iter-37.png │ │ ├── rk4-iter-38.png │ │ ├── rk4-iter-39.png │ │ ├── rk4-iter-4.png │ │ ├── rk4-iter-40.png │ │ ├── rk4-iter-41.png │ │ ├── rk4-iter-42.png │ │ ├── rk4-iter-43.png │ │ ├── rk4-iter-44.png │ │ ├── rk4-iter-45.png │ │ ├── rk4-iter-46.png │ │ ├── rk4-iter-47.png │ │ ├── rk4-iter-48.png │ │ ├── rk4-iter-49.png │ │ ├── rk4-iter-5.png │ │ ├── rk4-iter-50.png │ │ ├── rk4-iter-51.png │ │ ├── rk4-iter-52.png │ │ ├── rk4-iter-53.png │ │ ├── rk4-iter-54.png │ │ ├── rk4-iter-55.png │ │ ├── rk4-iter-56.png │ │ ├── rk4-iter-57.png │ │ ├── rk4-iter-58.png │ │ ├── rk4-iter-59.png │ │ ├── rk4-iter-6.png │ │ ├── rk4-iter-60.png │ │ ├── rk4-iter-61.png │ │ ├── rk4-iter-62.png │ │ ├── rk4-iter-63.png │ │ ├── rk4-iter-64.png │ │ ├── rk4-iter-65.png │ │ ├── rk4-iter-66.png │ │ ├── rk4-iter-67.png │ │ ├── rk4-iter-68.png │ │ ├── rk4-iter-69.png │ │ ├── rk4-iter-7.png │ │ ├── rk4-iter-70.png │ │ ├── rk4-iter-71.png │ │ ├── rk4-iter-72.png │ │ ├── rk4-iter-73.png │ │ ├── rk4-iter-74.png │ │ ├── rk4-iter-75.png │ │ ├── rk4-iter-76.png │ │ ├── rk4-iter-77.png │ │ ├── rk4-iter-78.png │ │ ├── rk4-iter-79.png │ │ ├── rk4-iter-8.png │ │ ├── rk4-iter-80.png │ │ ├── rk4-iter-81.png │ │ ├── rk4-iter-82.png │ │ ├── rk4-iter-83.png │ │ ├── rk4-iter-84.png │ │ ├── rk4-iter-85.png │ │ ├── rk4-iter-86.png │ │ ├── rk4-iter-87.png │ │ ├── rk4-iter-88.png │ │ ├── rk4-iter-89.png │ │ ├── rk4-iter-9.png │ │ ├── rk4-iter-90.png │ │ ├── rk4-iter-91.png │ │ ├── rk4-iter-92.png │ │ ├── rk4-iter-93.png │ │ ├── rk4-iter-94.png │ │ ├── rk4-iter-95.png │ │ ├── rk4-iter-96.png │ │ ├── rk4-iter-97.png │ │ ├── rk4-iter-98.png │ │ └── rk4-iter-99.png │ ├── node-tol-1e-2 │ │ ├── NODE-f64-reltol-1e-2-iter-0.png │ │ ├── NODE-f64-reltol-1e-2-iter-1.png │ │ ├── NODE-f64-reltol-1e-2-iter-10.png │ │ ├── NODE-f64-reltol-1e-2-iter-100.png │ │ ├── NODE-f64-reltol-1e-2-iter-101.png │ │ ├── NODE-f64-reltol-1e-2-iter-102.png │ │ ├── NODE-f64-reltol-1e-2-iter-103.png │ │ ├── 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│ ├── NODE-f64-reltol-1e-2-iter-253.png │ │ ├── NODE-f64-reltol-1e-2-iter-254.png │ │ ├── NODE-f64-reltol-1e-2-iter-255.png │ │ ├── NODE-f64-reltol-1e-2-iter-256.png │ │ ├── NODE-f64-reltol-1e-2-iter-257.png │ │ ├── NODE-f64-reltol-1e-2-iter-258.png │ │ ├── NODE-f64-reltol-1e-2-iter-259.png │ │ ├── NODE-f64-reltol-1e-2-iter-26.png │ │ ├── NODE-f64-reltol-1e-2-iter-260.png │ │ ├── NODE-f64-reltol-1e-2-iter-261.png │ │ ├── NODE-f64-reltol-1e-2-iter-262.png │ │ ├── NODE-f64-reltol-1e-2-iter-263.png │ │ ├── NODE-f64-reltol-1e-2-iter-264.png │ │ ├── NODE-f64-reltol-1e-2-iter-265.png │ │ ├── NODE-f64-reltol-1e-2-iter-266.png │ │ ├── NODE-f64-reltol-1e-2-iter-267.png │ │ ├── NODE-f64-reltol-1e-2-iter-268.png │ │ ├── NODE-f64-reltol-1e-2-iter-269.png │ │ ├── NODE-f64-reltol-1e-2-iter-27.png │ │ ├── NODE-f64-reltol-1e-2-iter-270.png │ │ ├── NODE-f64-reltol-1e-2-iter-271.png │ │ ├── NODE-f64-reltol-1e-2-iter-272.png │ │ ├── NODE-f64-reltol-1e-2-iter-273.png │ │ ├── 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│ ├── NODE-f64-reltol-1e-2-iter-296.png │ │ ├── NODE-f64-reltol-1e-2-iter-297.png │ │ ├── NODE-f64-reltol-1e-2-iter-298.png │ │ ├── NODE-f64-reltol-1e-2-iter-299.png │ │ ├── NODE-f64-reltol-1e-2-iter-3.png │ │ ├── NODE-f64-reltol-1e-2-iter-30.png │ │ ├── NODE-f64-reltol-1e-2-iter-300.png │ │ ├── NODE-f64-reltol-1e-2-iter-31.png │ │ ├── NODE-f64-reltol-1e-2-iter-32.png │ │ ├── NODE-f64-reltol-1e-2-iter-33.png │ │ ├── NODE-f64-reltol-1e-2-iter-34.png │ │ ├── NODE-f64-reltol-1e-2-iter-35.png │ │ ├── NODE-f64-reltol-1e-2-iter-36.png │ │ ├── NODE-f64-reltol-1e-2-iter-37.png │ │ ├── NODE-f64-reltol-1e-2-iter-38.png │ │ ├── NODE-f64-reltol-1e-2-iter-39.png │ │ ├── NODE-f64-reltol-1e-2-iter-4.png │ │ ├── NODE-f64-reltol-1e-2-iter-40.png │ │ ├── NODE-f64-reltol-1e-2-iter-41.png │ │ ├── NODE-f64-reltol-1e-2-iter-42.png │ │ ├── NODE-f64-reltol-1e-2-iter-43.png │ │ ├── NODE-f64-reltol-1e-2-iter-44.png │ │ ├── NODE-f64-reltol-1e-2-iter-45.png │ │ ├── NODE-f64-reltol-1e-2-iter-46.png │ │ ├── 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NODE-f64-reltol-1e-2-iter-69.png │ │ ├── NODE-f64-reltol-1e-2-iter-7.png │ │ ├── NODE-f64-reltol-1e-2-iter-70.png │ │ ├── NODE-f64-reltol-1e-2-iter-71.png │ │ ├── NODE-f64-reltol-1e-2-iter-72.png │ │ ├── NODE-f64-reltol-1e-2-iter-73.png │ │ ├── NODE-f64-reltol-1e-2-iter-74.png │ │ ├── NODE-f64-reltol-1e-2-iter-75.png │ │ ├── NODE-f64-reltol-1e-2-iter-76.png │ │ ├── NODE-f64-reltol-1e-2-iter-77.png │ │ ├── NODE-f64-reltol-1e-2-iter-78.png │ │ ├── NODE-f64-reltol-1e-2-iter-79.png │ │ ├── NODE-f64-reltol-1e-2-iter-8.png │ │ ├── NODE-f64-reltol-1e-2-iter-80.png │ │ ├── NODE-f64-reltol-1e-2-iter-81.png │ │ ├── NODE-f64-reltol-1e-2-iter-82.png │ │ ├── NODE-f64-reltol-1e-2-iter-83.png │ │ ├── NODE-f64-reltol-1e-2-iter-84.png │ │ ├── NODE-f64-reltol-1e-2-iter-85.png │ │ ├── NODE-f64-reltol-1e-2-iter-86.png │ │ ├── NODE-f64-reltol-1e-2-iter-87.png │ │ ├── NODE-f64-reltol-1e-2-iter-88.png │ │ ├── NODE-f64-reltol-1e-2-iter-89.png │ │ ├── NODE-f64-reltol-1e-2-iter-9.png │ │ ├── NODE-f64-reltol-1e-2-iter-90.png │ │ ├── NODE-f64-reltol-1e-2-iter-91.png │ │ ├── NODE-f64-reltol-1e-2-iter-92.png │ │ ├── NODE-f64-reltol-1e-2-iter-93.png │ │ ├── NODE-f64-reltol-1e-2-iter-94.png │ │ ├── NODE-f64-reltol-1e-2-iter-95.png │ │ ├── NODE-f64-reltol-1e-2-iter-96.png │ │ ├── NODE-f64-reltol-1e-2-iter-97.png │ │ ├── NODE-f64-reltol-1e-2-iter-98.png │ │ └── NODE-f64-reltol-1e-2-iter-99.png │ └── node-tol-1e-7 │ │ ├── NODE-f64-reltol-1e-7-iter-0.png │ │ ├── NODE-f64-reltol-1e-7-iter-1.png │ │ ├── NODE-f64-reltol-1e-7-iter-10.png │ │ ├── NODE-f64-reltol-1e-7-iter-100.png │ │ ├── NODE-f64-reltol-1e-7-iter-101.png │ │ ├── NODE-f64-reltol-1e-7-iter-102.png │ │ ├── NODE-f64-reltol-1e-7-iter-103.png │ │ ├── NODE-f64-reltol-1e-7-iter-104.png │ │ ├── NODE-f64-reltol-1e-7-iter-105.png │ │ ├── NODE-f64-reltol-1e-7-iter-106.png │ │ ├── NODE-f64-reltol-1e-7-iter-107.png │ │ ├── NODE-f64-reltol-1e-7-iter-108.png │ │ ├── NODE-f64-reltol-1e-7-iter-109.png │ │ ├── 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