Notebooks/RepresentationCapacity.ipynb

{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\u001b[32m\u001b[1m  Activating\u001b[22m\u001b[39m project at `~/Projects/HTM/Notebooks`\n"
     ]
    }
   ],
   "source": [
    "] activate ."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "WARNING: using ProgressMeter.update! in module Main conflicts with an existing identifier.\n"
     ]
    }
   ],
   "source": [
    "include(string(@__DIR__, \"/../Scripts/jupic.jl\"))\n",
    "\n",
    "using Random\n",
    "using Plots\n",
    "using ProgressMeter\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "flatten_and_hcat (generic function with 1 method)"
      ]
     },
     "execution_count": 20,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "\"\"\"\n",
    "    make_marker_seq(marker_char, marker_char_count, mean_distance_btw_markers, random_char_pool)\n",
    "\"\"\"\n",
    "function make_marker_seq(marker_char, marker_char_count, mean_distance_btw_markers, random_char_pool)\n",
    "    seq_len = mean_distance_btw_markers * marker_char_count\n",
    "    char_list = rand(random_char_pool, seq_len)\n",
    "    marker_idxs = Random.randperm(seq_len)[1:marker_char_count]\n",
    "    for i in marker_idxs\n",
    "        char_list[i] = marker_char\n",
    "    end\n",
    "    seq = join(char_list)\n",
    "    return seq\n",
    "end\n",
    "\n",
    "\"\"\"\n",
    "    encode(seq)\n",
    "\"\"\"\n",
    "function encode(seq, encoding_size)\n",
    "    unique_letters = Set([s for s in seq])\n",
    "    encodings = Dict{Char, Array{Int, 1}}()\n",
    "    for ul in unique_letters\n",
    "        encodings[ul] = randperm(num_cols)[1:encoding_size]\n",
    "    end\n",
    "    return encodings\n",
    "end\n",
    "\n",
    "\"\"\"\n",
    "    train!(tm, encodings, seq, epochs)\n",
    "\"\"\"\n",
    "function train!(tm, encodings, seq, epochs)\n",
    "    for i in 1:epochs\n",
    "        for char in seq\n",
    "            update!(tm, encodings[char])\n",
    "        end\n",
    "    end\n",
    "end\n",
    "\n",
    "\"\"\"\n",
    "    marker_representations(tm, encodings, seq, marker_char)\n",
    "\"\"\"\n",
    "function marker_representations(tm, encodings, seq, marker_char)\n",
    "    cell_reps = Array{Int, 1}[]\n",
    "    col_reps = Array{Int, 1}[]\n",
    "    for char in seq\n",
    "        update!(tm, encodings[char])\n",
    "        if char == marker_char\n",
    "            push!(cell_reps, predicted_cells(tm))\n",
    "            push!(col_reps, predicted_columns(tm))\n",
    "        end\n",
    "    end\n",
    "\n",
    "    return cell_reps, col_reps\n",
    "end\n",
    "\n",
    "overlap(x::Array{Int, 1}, y::Array{Int, 1}) = length(intersect(x, y))\n",
    "\n",
    "\"\"\"\n",
    "    pairwise_overlap_matrix(true_col_encoding, cell_reps, col_reps, accuracy_threshold=0.5)\n",
    "\"\"\"\n",
    "function pairwise_overlap_matrix(true_col_encoding, cell_reps, col_reps, overlap_threshold=4)\n",
    "\n",
    "    num_marker_chars = length(cell_reps)\n",
    "    R = zeros(num_marker_chars, num_marker_chars)\n",
    "\n",
    "    for (i, cell_rep_i) in enumerate(cell_reps)\n",
    "        for (j, cell_rep_j) in enumerate(cell_reps)\n",
    "            if overlap(col_reps[i], true_col_encoding) < overlap_threshold\n",
    "                R[i, j] = NaN\n",
    "            else\n",
    "                R[i, j] = overlap(cell_rep_i, cell_rep_j)\n",
    "            end\n",
    "        end\n",
    "    end\n",
    "\n",
    "    return R\n",
    "end\n",
    "\n",
    "function flatten_and_hcat(X)\n",
    "    flats = map(x -> reshape(x, :), X)\n",
    "    stacked = hcat(flats...)\n",
    "end"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\u001b[32mProgress: 100%|█████████████████████████████████████████| Time: 0:07:36\u001b[39m\n"
     ]
    }
   ],
   "source": [
    "num_cols = 128\n",
    "cells_per_col = 16\n",
    "synapse_sample_size = 32\n",
    "encoding_size = 8\n",
    "random_char_pool_size = 25\n",
    "marker_char_count = 10\n",
    "mean_distance_btw_markers = 5\n",
    "\n",
    "\n",
    "\n",
    "tm = TempMem(\n",
    "    num_cols, \n",
    "    cells_per_col,\n",
    "    synapse_sample_size = synapse_sample_size,\n",
    "    initial_segments_per_cell = 0,\n",
    "    initial_permanence = 0.495,\n",
    ")\n",
    "\n",
    "marker_char = 'A'\n",
    "random_char_pool = collect('B':'z')[1:random_char_pool_size]\n",
    "seq = make_marker_seq(marker_char, marker_char_count, mean_distance_btw_markers, random_char_pool)\n",
    "encodings = encode(seq, encoding_size)\n",
    "\n",
    "overlap_matrices = []\n",
    "epochs_per_iter = 1\n",
    "num_matrices = 50\n",
    "@showprogress for i in 1:num_matrices\n",
    "    train!(tm, encodings, seq, epochs_per_iter)\n",
    "    col_reps, cell_reps = marker_representations(tm, encodings, seq, marker_char)\n",
    "    push!(overlap_matrices, pairwise_overlap_matrix(encodings[marker_char], cell_reps, col_reps))\n",
    "end"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
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transform=\"translate(169, 47)\"/>\n</g>\n<defs>\n  <clipPath id=\"clip583\">\n    <rect x=\"2160\" y=\"47\" width=\"73\" height=\"1440\"/>\n  </clipPath>\n</defs>\n</svg>\n"
     },
     "execution_count": 9,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "GKS: Possible loss of precision in routine SET_WINDOW\n",
      "GKS: Rectangle definition is invalid in routine SET_WINDOW\n",
      "GKS: Rectangle definition is invalid in routine CELLARRAY\n",
      "invalid range\n"
     ]
    }
   ],
   "source": [
    "overlap_through_training = flatten_and_hcat(overlap_matrices)\n",
    "max_overlap = maximum(overlap_through_training)\n",
    "overlap_through_training[isnan.(overlap_through_training)] .= -max_overlap\n",
    "\n",
    "normalized_matrix = overlap_through_training ./ max_overlap\n",
    "heatmap(\n",
    "    normalized_matrix,\n",
    "    c = cgrad([:orange, :green])\n",
    ")\n",
    "\n",
    "\n",
    "\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 42,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "5000"
      ]
     },
     "execution_count": 42,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "sum(isnan.(overlap_through_training))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Synapse density: 0.15358352661132812\n"
     ]
    }
   ],
   "source": [
    "println(\"Synapse density: $(num_synapses(tm, 1:tm.ps.num_cols) / length(tm.cells) ^ 2)\")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "I think we need to refresh the state each time, and then introduce a start character with no segments from other cells\n",
    "\n",
    "Or maybe all we need is the same initial condition every time.\n",
    "\n",
    "What do we need?\n",
    "\n",
    "`encoding_len` active and winner cells\n",
    "\n",
    "No, those get computed.\n",
    "\n",
    "We need an initial set of random segments"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 40,
   "metadata": {},
   "outputs": [
    {
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     },
     "execution_count": 40,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "num_active_cells = length.([tm.active_cells[t] for t in 1:tm.t])\n",
    "active_segments = length.([tm.active_segments[t] for t in 1:tm.t])\n",
    "\n",
    "p1 = plot(size=(1000, 300), title=\"Active Cells\")\n",
    "plot!(num_active_cells[end-100:end])\n",
    "xticks!(1:100, [string(s) for s in seq*seq])\n",
    "\n",
    "p2 = plot(size=(1000, 300), title=\"Active Segments\")\n",
    "plot!(active_segments[end-100:end])\n",
    "xticks!(1:100, [string(s) for s in seq*seq])\n",
    "\n",
    "plot(p1, p2, layout=@layout [a ; b])"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Try again with a refresh in between"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 43,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\u001b[32mProgress: 100%|█████████████████████████████████████████| Time: 0:08:07\u001b[39m\n"
     ]
    }
   ],
   "source": [
    "num_cols = 128\n",
    "cells_per_col = 16\n",
    "synapse_sample_size = 32\n",
    "encoding_size = 8\n",
    "random_char_pool_size = 25\n",
    "marker_char_count = 10\n",
    "mean_distance_btw_markers = 5\n",
    "\n",
    "\n",
    "\n",
    "tm = TempMem(\n",
    "    num_cols, \n",
    "    cells_per_col,\n",
    "    synapse_sample_size = synapse_sample_size,\n",
    "    initial_segments_per_cell = 0,\n",
    "    initial_permanence = 0.495,\n",
    ")\n",
    "\n",
    "marker_char = 'A'\n",
    "random_char_pool = collect('B':'z')[1:random_char_pool_size]\n",
    "seq = make_marker_seq(marker_char, marker_char_count, mean_distance_btw_markers, random_char_pool)\n",
    "encodings = encode(seq, encoding_size)\n",
    "\n",
    "overlap_matrices = []\n",
    "epochs_per_iter = 1\n",
    "num_matrices = 50\n",
    "@showprogress for i in 1:num_matrices\n",
    "    train!(tm, encodings, seq, epochs_per_iter)\n",
    "    col_reps, cell_reps = marker_representations(tm, encodings, seq, marker_char)\n",
    "    push!(overlap_matrices, pairwise_overlap_matrix(encodings[marker_char], cell_reps, col_reps))\n",
    "    # REFRESH\n",
    "    update!(tm, Int[])\n",
    "end"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 44,
   "metadata": {},
   "outputs": [
    {
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     },
     "execution_count": 44,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "GKS: Rectangle definition is invalid in routine SET_WINDOW\n",
      "GKS: Rectangle definition is invalid in routine CELLARRAY\n",
      "invalid range\n"
     ]
    }
   ],
   "source": [
    "overlap_through_training = flatten_and_hcat(overlap_matrices)\n",
    "max_overlap = maximum(overlap_through_training)\n",
    "overlap_through_training[isnan.(overlap_through_training)] .= -max_overlap\n",
    "\n",
    "normalized_matrix = overlap_through_training ./ max_overlap\n",
    "heatmap(\n",
    "    normalized_matrix,\n",
    "    c = cgrad([:orange, :green])\n",
    ")\n",
    "\n",
    "\n",
    "\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 45,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "5000"
      ]
     },
     "execution_count": 45,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "sum(isnan.(overlap_through_training))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 46,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Synapse density: 0.1523144245147705\n"
     ]
    }
   ],
   "source": [
    "println(\"Synapse density: $(num_synapses(tm, 1:tm.ps.num_cols) / length(tm.cells) ^ 2)\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 47,
   "metadata": {},
   "outputs": [
    {
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     },
     "execution_count": 47,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "num_active_cells = length.([tm.active_cells[t] for t in 1:tm.t])\n",
    "active_segments = length.([tm.active_segments[t] for t in 1:tm.t])\n",
    "\n",
    "p1 = plot(size=(1000, 300), title=\"Active Cells\")\n",
    "plot!(num_active_cells[end-100:end])\n",
    "xticks!(1:100, [string(s) for s in seq*seq])\n",
    "\n",
    "p2 = plot(size=(1000, 300), title=\"Active Segments\")\n",
    "plot!(active_segments[end-100:end])\n",
    "xticks!(1:100, [string(s) for s in seq*seq])\n",
    "\n",
    "plot(p1, p2, layout=@layout [a ; b])"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Run the experiment with an initial condition of active and winner cells."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "set_initial! (generic function with 2 methods)"
      ]
     },
     "execution_count": 12,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "function set_initial!(tm::TempMem, init_cells::Array{Cell{T}, 1}) where T\n",
    "    for c in init_cells\n",
    "        push!(tm.active_cells[tm.t], c)\n",
    "        push!(tm.winner_cells[tm.t], c)\n",
    "    end\n",
    "end"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\u001b[32mProgress: 100%|█████████████████████████████████████████| Time: 0:07:14\u001b[39m\n"
     ]
    }
   ],
   "source": [
    "num_cols = 128\n",
    "cells_per_col = 16\n",
    "synapse_sample_size = 32\n",
    "encoding_size = 8\n",
    "random_char_pool_size = 25\n",
    "marker_char_count = 10\n",
    "mean_distance_btw_markers = 5\n",
    "\n",
    "\n",
    "\n",
    "tm = TempMem(\n",
    "    num_cols, \n",
    "    cells_per_col,\n",
    "    synapse_sample_size = synapse_sample_size,\n",
    "    initial_segments_per_cell = 0,\n",
    "    initial_permanence = 0.495,\n",
    ")\n",
    "\n",
    "marker_char = 'A'\n",
    "random_char_pool = collect('B':'z')[1:random_char_pool_size]\n",
    "seq = make_marker_seq(marker_char, marker_char_count, mean_distance_btw_markers, random_char_pool)\n",
    "encodings = encode(seq, encoding_size)\n",
    "\n",
    "# Initial condition\n",
    "init_active = rand(tm.cells, encoding_size)\n",
    "set_initial!(tm, init_active)\n",
    "\n",
    "overlap_matrices = []\n",
    "epochs_per_iter = 1\n",
    "num_matrices = 50\n",
    "@showprogress for i in 1:num_matrices\n",
    "    train!(tm, encodings, seq, epochs_per_iter)\n",
    "    col_reps, cell_reps = marker_representations(tm, encodings, seq, marker_char)\n",
    "    push!(overlap_matrices, pairwise_overlap_matrix(encodings[marker_char], cell_reps, col_reps))\n",
    "    # REFRESH\n",
    "    update!(tm, Int[])\n",
    "    # SET INITIAL CONDITION\n",
    "    set_initial!(tm, init_active)\n",
    "end"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "metadata": {},
   "outputs": [
    {
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     },
     "execution_count": 21,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "GKS: Possible loss of precision in routine SET_WINDOW\n",
      "GKS: Rectangle definition is invalid in routine SET_WINDOW\n",
      "GKS: Rectangle definition is invalid in routine CELLARRAY\n",
      "invalid range\n"
     ]
    }
   ],
   "source": [
    "overlap_through_training = flatten_and_hcat(overlap_matrices)\n",
    "max_overlap = maximum(overlap_through_training)\n",
    "overlap_through_training[isnan.(overlap_through_training)] .= -max_overlap\n",
    "\n",
    "normalized_matrix = overlap_through_training ./ max_overlap\n",
    "heatmap(\n",
    "    normalized_matrix,\n",
    "    c = cgrad([:orange, :green])\n",
    ")\n",
    "\n",
    "\n",
    "\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "5000"
      ]
     },
     "execution_count": 22,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "sum(isnan.(overlap_through_training))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Synapse density: 0.13999223709106445\n"
     ]
    }
   ],
   "source": [
    "println(\"Synapse density: $(num_synapses(tm, 1:tm.ps.num_cols) / length(tm.cells) ^ 2)\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "metadata": {},
   "outputs": [
    {
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     },
     "execution_count": 24,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "num_active_cells = length.([tm.active_cells[t] for t in 1:tm.t])\n",
    "active_segments = length.([tm.active_segments[t] for t in 1:tm.t])\n",
    "\n",
    "p1 = plot(size=(1000, 300), title=\"Active Cells\")\n",
    "plot!(num_active_cells[end-100:end])\n",
    "xticks!(1:100, [string(s) for s in seq*seq])\n",
    "\n",
    "p2 = plot(size=(1000, 300), title=\"Active Segments\")\n",
    "plot!(active_segments[end-100:end])\n",
    "xticks!(1:100, [string(s) for s in seq*seq])\n",
    "\n",
    "plot(p1, p2, layout=@layout [a ; b])"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# More tests"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 31,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\u001b[32mProgress: 100%|█████████████████████████████████████████| Time: 0:07:24\u001b[39m\n"
     ]
    }
   ],
   "source": [
    "num_cols = 128\n",
    "cells_per_col = 16\n",
    "synapse_sample_size = 32\n",
    "encoding_size = 8\n",
    "random_char_pool_size = 25\n",
    "marker_char_count = 10\n",
    "mean_distance_btw_markers = 5\n",
    "\n",
    "\n",
    "\n",
    "tm = TempMem(\n",
    "    num_cols, \n",
    "    cells_per_col,\n",
    "    synapse_sample_size = synapse_sample_size,\n",
    "    initial_segments_per_cell = 0,\n",
    "    initial_permanence = 0.495,\n",
    ")\n",
    "\n",
    "marker_char = 'A'\n",
    "random_char_pool = collect('B':'z')[1:random_char_pool_size]\n",
    "seq = make_marker_seq(marker_char, marker_char_count, mean_distance_btw_markers, random_char_pool)\n",
    "encodings = encode(seq, encoding_size);\n",
    "\n",
    "# Initial condition\n",
    "init_active = rand(tm.cells, encoding_size)\n",
    "set_initial!(tm, init_active)\n",
    "\n",
    "overlap_matrices = []\n",
    "tot_synapse = []\n",
    "epochs_per_iter = 1\n",
    "num_matrices = 50\n",
    "@showprogress for i in 1:num_matrices\n",
    "    train!(tm, encodings, seq, epochs_per_iter)\n",
    "    col_reps, cell_reps = marker_representations(tm, encodings, seq, marker_char)\n",
    "    push!(overlap_matrices, pairwise_overlap_matrix(encodings[marker_char], cell_reps, col_reps))\n",
    "    # REFRESH\n",
    "    update!(tm, Int[])\n",
    "    # SET INITIAL CONDITION\n",
    "    set_initial!(tm, init_active)\n",
    "    push!(tot_synapse, num_synapses(tm, 1:tm.ps.num_cols))\n",
    "end"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 35,
   "metadata": {},
   "outputs": [
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     },
     "execution_count": 35,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "plot(append!([0], tot_synapse))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 33,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "1-element Vector{Int64}:\n",
       " 2"
      ]
     },
     "execution_count": 33,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
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