Failed attempt at sequence compressor

compress.js

function add(arr1, arr2) {
  return arr1.map((x, i) => x + (arr2[i] || 0));
}

function mult(arr1, arr2) {
  return arr1.map((x, i) => x * (arr2[i] || 0));
}

function sum(arr) {
  return arr.reduce((acc, x) => acc + x);
}

const sequence = [0, 10, 20, 30, 20, 10, 0, -10];

const components = [
  "00001111",
  "00110011",
  "10101010",
].map(s => Array.from(s).map(Number));

const norm = sum(sequence);

console.log('sequence:', sequence);

const ks = components
      .map(mask => sum(mult(sequence, mask)) / norm);

console.log('coefficients:', ks);

const restoredMasks = ks
      .map((k, i) => components[i].map(x => x * k))
      .reduce((acc, mask) => add(acc, mask));

console.log('restored:', restoredMasks);