test.js

const assert = require('assert')

const test = [
  {
    title: 'hi',
    values: [
      {
        count: '1',
        value: 'fun'
      },
      {
        count: '0',
        value: 'no fun'
      }
    ]
  },
  {
    title: 'hey',
    values: []
  }
]

const final = [
  {
    title: 'hi',
    values: [
      {
        count: '1',
        value: 'fun'
      }
    ]
  }
]

const transform = categories => {
  return categories.reduce((memo, category) => {
    category.values = category.values.filter(value => +value.count)
    return category.values.length ? memo.concat([category]) : memo
  }, [])
}

const main = () => {
  const transformed = transform(test)
  assert(transformed[0].values.length === 1)
  assert(transformed.length === 1)
  console.log('it worked')
}

main()