Vector of Vectors

Vector of Vectors.ipynb

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      "metadata": {
        "trusted": true
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      "cell_type": "code",
      "source": "D = 6\ntensor_size = (1:D) .+ 3\nreqrank = (1:D) .+ 1;",
      "execution_count": 1,
      "outputs": []
    },
    {
      "metadata": {
        "trusted": true
      },
      "cell_type": "code",
      "source": "using Distributions\n\nbasis_positions = [\n    [1; sample(2:tensor_size[d], reqrank[d] - 1; replace=false, ordered=true)]\n    for d in 1:6]",
      "execution_count": 2,
      "outputs": [
        {
          "output_type": "execute_result",
          "execution_count": 2,
          "data": {
            "text/plain": "6-element Vector{Vector{Int64}}:\n [1, 3]\n [1, 3, 4]\n [1, 2, 4, 6]\n [1, 4, 5, 6, 7]\n [1, 2, 3, 6, 7, 8]\n [1, 3, 4, 5, 7, 8, 9]"
          },
          "metadata": {}
        }
      ]
    },
    {
      "metadata": {
        "trusted": true
      },
      "cell_type": "code",
      "source": "using Distributions\n\nbasis_positions = ((\n        [1; sample(2:tensor_size[d], reqrank[d] - 1; replace=false, ordered=true)]\n        for d in 1:6)...,)",
      "execution_count": 3,
      "outputs": [
        {
          "output_type": "execute_result",
          "execution_count": 3,
          "data": {
            "text/plain": "([1, 2], [1, 2, 5], [1, 2, 3, 5], [1, 2, 3, 4, 5], [1, 2, 3, 5, 6, 8], [1, 2, 3, 4, 7, 8, 9])"
          },
          "metadata": {}
        }
      ]
    },
    {
      "metadata": {
        "trusted": true
      },
      "cell_type": "code",
      "source": "using Distributions\n\nbasis_positions = [\n    (1, sample(2:tensor_size[d], reqrank[d] - 1; replace=false, ordered=true)...)\n    for d in 1:6]",
      "execution_count": 4,
      "outputs": [
        {
          "output_type": "execute_result",
          "execution_count": 4,
          "data": {
            "text/plain": "6-element Vector{Tuple{Int64, Int64, Vararg{Int64}}}:\n (1, 2)\n (1, 2, 3)\n (1, 2, 3, 6)\n (1, 2, 3, 6, 7)\n (1, 2, 4, 5, 7, 8)\n (1, 2, 3, 5, 6, 7, 8)"
          },
          "metadata": {}
        }
      ]
    },
    {
      "metadata": {
        "trusted": true
      },
      "cell_type": "code",
      "source": "using Distributions\n\nbasis_positions = ((\n        (1, sample(2:tensor_size[d], reqrank[d] - 1; replace=false, ordered=true)...)\n        for d in 1:6)...,)",
      "execution_count": 5,
      "outputs": [
        {
          "output_type": "execute_result",
          "execution_count": 5,
          "data": {
            "text/plain": "((1, 4), (1, 2, 3), (1, 2, 4, 5), (1, 2, 3, 4, 6), (1, 2, 3, 4, 7, 8), (1, 2, 3, 4, 5, 7, 8))"
          },
          "metadata": {}
        }
      ]
    },
    {
      "metadata": {
        "trusted": true
      },
      "cell_type": "code",
      "source": "typeof(basis_positions)",
      "execution_count": 6,
      "outputs": [
        {
          "output_type": "execute_result",
          "execution_count": 6,
          "data": {
            "text/plain": "Tuple{Tuple{Int64, Int64}, Tuple{Int64, Int64, Int64}, NTuple{4, Int64}, NTuple{5, Int64}, NTuple{6, Int64}, NTuple{7, Int64}}"
          },
          "metadata": {}
        }
      ]
    },
    {
      "metadata": {
        "trusted": true
      },
      "cell_type": "code",
      "source": "using Distributions, StaticArrays\n\nbasis_positions = ((\n        SVector{reqrank[d]}(1, sample(2:tensor_size[d], reqrank[d] - 1; replace=false, ordered=true)...)\n        for d in 1:6)...,)",
      "execution_count": 7,
      "outputs": [
        {
          "output_type": "execute_result",
          "execution_count": 7,
          "data": {
            "text/plain": "([1, 2], [1, 2, 4], [1, 3, 4, 5], [1, 2, 3, 4, 6], [1, 2, 4, 5, 6, 7], [1, 4, 5, 6, 7, 8, 9])"
          },
          "metadata": {}
        }
      ]
    },
    {
      "metadata": {
        "trusted": true
      },
      "cell_type": "code",
      "source": "typeof(basis_positions)",
      "execution_count": 8,
      "outputs": [
        {
          "output_type": "execute_result",
          "execution_count": 8,
          "data": {
            "text/plain": "Tuple{SVector{2, Int64}, SVector{3, Int64}, SVector{4, Int64}, SVector{5, Int64}, SVector{6, Int64}, SVector{7, Int64}}"
          },
          "metadata": {}
        }
      ]
    },
    {
      "metadata": {
        "trusted": true
      },
      "cell_type": "code",
      "source": "",
      "execution_count": null,
      "outputs": []
    }
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        "description": "Vector of Vectors",
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