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m.ts
51
m.ts
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export type V = Array<number>;
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export type M = Array<V>;
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export type HandleLoop = (indexComponent:number, indexRow:number, array:Array<number>) => number;
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export type HandleEdit = (component:number, index:number, array:Array<number>) => number;
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export namespace Cloud
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{
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export type V = Array<number>
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export type M = Array<Array<number>>
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export type HandleLoop = (indexComponent:number, indexRow:number, array:Array<number>) => number
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export type HandleEdit = (component:number, index:number, array:Array<number>) => number
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};
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const Methods = {
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Iterate:
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{
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Loop: (inDimensions:number, inCount:number, inFunction:HandleLoop):M =>
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Loop: (inDimensions:number, inCount:number, inFunction:Cloud.HandleLoop):Cloud.M =>
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{
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let i:number, j:number, outputVector:V;
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const outputCloud:M = [];
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let i:number, j:number, outputVector:Cloud.V;
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const outputCloud:Cloud.M = [];
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for(i=0; i<inCount; i++)
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{
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outputVector = [];
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@ -21,35 +24,37 @@ const Methods = {
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}
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return outputCloud;
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},
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Edit: (inCloud:M, inFunction:HandleEdit):M=> inCloud.map((row:V):V=>row.map(inFunction))
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Edit: (inCloud:Cloud.M, inFunction:Cloud.HandleEdit):Cloud.M=> inCloud.map((row:Cloud.V):Cloud.V=>row.map(inFunction))
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},
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Create:
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{
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Box: (inV1:V, inV2:V, inCount:number):M=> Methods.Iterate.Loop(inV1.length, inCount, i=> inV1[i]+(inV2[i]-inV1[i])*Math.random()),
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Transpose: (inCloud:M):M=> Methods.Iterate.Loop(inCloud.length, inCloud[0].length, (i, row)=> inCloud[i][row]),
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Outer: (inV1:V, inV2:V):M=> Methods.Iterate.Loop(inV1.length, inV2.length, (i, row)=> inV1[i]*inV2[row]),
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Clone: (inCloud:M):M=> Methods.Iterate.Edit(inCloud, i=> i)
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Box: (inV1:Cloud.V, inV2:Cloud.V, inCount:number):Cloud.M=> Methods.Iterate.Loop(inV1.length, inCount, i=> inV1[i]+(inV2[i]-inV1[i])*Math.random()),
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Transpose: (inCloud:Cloud.M):Cloud.M=> Methods.Iterate.Loop(inCloud.length, inCloud[0].length, (i, row)=> inCloud[i][row]),
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Outer: (inV1:Cloud.V, inV2:Cloud.V):Cloud.M=> Methods.Iterate.Loop(inV1.length, inV2.length, (i, row)=> inV1[i]*inV2[row]),
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Clone: (inCloud:Cloud.M):Cloud.M=> Methods.Iterate.Edit(inCloud, i=> i)
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},
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Mutate:
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{
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Pad: (inCloud:M):void=> inCloud.forEach(row=> row.push(1)),
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Unpad: (inCloud:M):void=> inCloud.forEach(row=> row.pop())
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Pad: (inCloud:Cloud.M):Cloud.M=> {inCloud.forEach((row:Cloud.V)=> row.push(1)); return inCloud; },
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Unpad: (inCloud:Cloud.M):Cloud.M=> {inCloud.forEach((row:Cloud.V)=> row.pop()); return inCloud; }
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},
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Single:
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{
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Subtract: (inV1:V, inV2:V):V=> inV1.map((component, i)=> component-inV2[i]),
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Multiply: (inV1:V, inV2:V):V=> inV1.map((component, i)=> component*inV2[i]),
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Affine: (inV:V, inMatrix:M):V=> inMatrix.map(row=> row.reduce((sum, current, index)=> sum + current*inV[index]))
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Subtract: (inV1:Cloud.V, inV2:Cloud.V):Cloud.V=> inV1.map((component, i)=> component-inV2[i]),
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Multiply: (inV1:Cloud.V, inV2:Cloud.V):Cloud.V=> inV1.map((component, i)=> component*inV2[i]),
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Affine: (inV:Cloud.V, inMatrix:Cloud.M):Cloud.V=> inMatrix.map((row:Cloud.V)=> row.reduce((sum, current, index)=> sum + current*inV[index]))
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},
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Batch:
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{
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Subtract: (inCloud1:M, inCloud2:M):M=> inCloud1.map((row, rowIndex)=> Methods.Single.Subtract(row, inCloud2[rowIndex])),
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Multiply: (inCloud1:M, inCloud2:M):M=> inCloud1.map((row, rowIndex)=> Methods.Single.Multiply(row, inCloud2[rowIndex])),
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Affine: (inCloud:M, inMatrix:M):M=> inCloud.map(row=> Methods.Single.Affine(row, inMatrix)),
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Sigmoid: (inCloud:M):M=> Methods.Iterate.Edit(inCloud, i=>1/(1+Math.pow(Math.E, -i))),
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Derivative: (inCloud:M):M=> Methods.Iterate.Edit(inCloud, i=>i*(1-i)),
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Scale: (inCloud:M, inScalar:number):M=> Methods.Iterate.Edit(inCloud, i=>i*inScalar)
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Subtract: (inCloud1:Cloud.M, inCloud2:Cloud.M):Cloud.M=> inCloud1.map((row:Cloud.V, rowIndex:number)=> Methods.Single.Subtract(row, inCloud2[rowIndex])),
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Multiply: (inCloud1:Cloud.M, inCloud2:Cloud.M):Cloud.M=> inCloud1.map((row:Cloud.V, rowIndex:number)=> Methods.Single.Multiply(row, inCloud2[rowIndex])),
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Affine: (inCloud1:Cloud.M, inCloud2:Cloud.M):Cloud.M=> inCloud1.map((row:Cloud.V)=> Methods.Single.Affine(row, inCloud2)),
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Sigmoid: (inCloud:Cloud.M):Cloud.M=> Methods.Iterate.Edit(inCloud, i=>1/(1+Math.pow(Math.E, -i))),
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Derivative: (inCloud:Cloud.M):Cloud.M=> Methods.Iterate.Edit(inCloud, i=>i*(1-i)),
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Scale: (inCloud:Cloud.M, inScalar:number):Cloud.M=> Methods.Iterate.Edit(inCloud, i=>i*inScalar)
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}
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};
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export default Methods;
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14
nn.test.js
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14
nn.test.js
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import { assert, assertEquals } from "https://deno.land/std@0.102.0/testing/asserts.ts";
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import * as NN from "./nn.ts";
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Deno.test("NN.Observe", ()=>
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{
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console.log(NN.Observe([[[1, 2, 3]]], [[[0.4, 0.5, 0.6]]]));
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});
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Deno.test("NN.Train", ()=>
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{
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const stages = [[[1, 2, 3]]];
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const layers = [[[0.4, 0.5, 0.6]]];
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console.log(NN.Train(stages, layers, [[0, 0, 1]], 0.1));
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});
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nn.ts
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36
nn.ts
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import { default as M, Cloud } from "./m.ts";
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const Observe = (inStages:Array<Cloud.M>, inLayers:Array<Cloud.M>):Cloud.M =>
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{
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let i:number;
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let process = (index:number):Cloud.M => M.Batch.Sigmoid(M.Batch.Affine(inStages[index], inLayers[index]));
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for(i=0; i<inLayers.length-1; i++)
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{
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inStages[i+1] = M.Mutate.Pad(process(i));
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}
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inStages[i+1] = process(i);
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return inStages[i+1];
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};
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const Train = (inStages:Array<Cloud.M>, inLayers:Array<Cloud.M>, inGoals:Cloud.M, inRate:number):void =>
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{
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let i:number;
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let errorBack:Cloud.M = M.Batch.Subtract(Observe(inStages, inLayers), inGoals);
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for(i=inLayers.length-1; i>=0; i++)
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{
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let layerMatrix:Cloud.M = inLayers[i];
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let layerInput:Cloud.M = inStages[i];
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let layerOutput:Cloud.M = inStages[i+1];
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let errorScaled:Cloud.M = M.Batch.Multiply(errorBack, M.Batch.Derivative(layerOutput));
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errorBack = M.Batch.Affine(errorScaled, M.Create.Transpose(layerMatrix));
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errorScaled.forEach((inScaledError:Cloud.V, inIndex:number)=> {
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const deltas = M.Batch.Scale(M.Create.Outer(layerInput[inIndex], inScaledError), inRate);
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layerMatrix = M.Batch.Subtract(layerMatrix, deltas);
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});
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}
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};
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export { Observe, Train };
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export type { Cloud };
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