brain_topo_doc.ipynb

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     "input": [
      "%pylab inline\n",
      "import sys\n",
      "sys.path.insert(0,'./code/')\n",
      "from dionysus import PairwiseDistances\n",
      "from mayavi import mlab\n",
      "import scipy\n",
      "import scipy.sparse.linalg\n",
      "import topology"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "output_type": "stream",
       "stream": "stdout",
       "text": [
        "Populating the interactive namespace from numpy and matplotlib\n"
       ]
      },
      {
       "output_type": "stream",
       "stream": "stderr",
       "text": [
        "WARNING: pylab import has clobbered these variables: ['mlab']\n",
        "`%pylab --no-import-all` prevents importing * from pylab and numpy\n"
       ]
      }
     ],
     "prompt_number": 38
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "loading some anatomical connectivity data, normalizing by the size of the ROIs\n",
      "\n",
      "we then select only the cortical ROIs (the 19 first ROIs are subcortical), and we normalize by the maximum connectivity \"density\".\n",
      "\n",
      "The CorrelationDistance object is just a proxy because the software is working usually from coordinates, this class just enables to give either correlation matrix or any matrix bounded by 1 and return 1-<this value> as the distance used for filtration in persistent homology."
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "cens=np.load('../tmp_data/rois_cens_wld_800.npy')\n",
      "conn819=np.loadtxt('../tmp_data/connect_800.csv')\n",
      "conn819_2=(conn819+conn819.T)/(1+np.eye(819))\n",
      "voxcount=np.load('../tmp_data/labels_voxcount800.npy')\n",
      "voxprob=voxcount/float(voxcount.sum())\n",
      "voxpairprob=voxprob[:,np.newaxis]*voxprob[np.newaxis]\n",
      "nconn819=conn819_2/conn819_2.sum()/voxpairprob\n",
      "dists=topology.CorrelationDistance(nconn819[19:,19:]/nconn819[19:,19:].max())"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [],
     "prompt_number": 9
    },
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     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "This creates the sorted simplicial complex (or filtration).\n",
      "It can take a few minutes if the number of points is important or the maximum value of the filtration is high.\n",
      "\n",
      "- The first argument is the distance object\n",
      "- The second is the maximum size of simplices we want to create in that case 3=tetrahedron, it is necessary to compute tetrahedron to find 2-cycles (voids), because tetrahedron will \"kill the voids and enable to find the end of the cycle. In the case we only want [0-1]-cycles, 2 is enough.\n",
      "- The last argument is the maximum filtration value so it defines the extent of the barcode we are going to compute.\n",
      "\n",
      "The output is a list of simplices ordered by increasing filtration value (which is necessary to compute (co)-homology)"
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "order=3\n",
      "max_filt_value=.98\n",
      "filt=topology.create_filtration(dists,order,max_filt_value)"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "output_type": "stream",
       "stream": "stdout",
       "text": [
        "103770 simplices\n"
       ]
      }
     ],
     "prompt_number": 12
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    {
     "cell_type": "markdown",
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     "source": [
      "This function computes homology of the simplicial complex filtration, up to the order (sometimes also called skeleton size) specified, in that case 3.\n",
      "\n",
      "(Computation can be long if the filtration is huge, I added a progress display.).\n",
      "\n",
      "cyc is a list of tuples describing the cycles as :\n",
      "\n",
      "- the order of the cycle (0=clusters,1=cycle,2=voids,...)\n",
      "- the birth value = the filtration value at which the cycle appear\n",
      "- the death value = the filtration value at which the cycle is killed, infinite if still alive\n",
      "- the simplex that killed the cycle if dead                                                                               \n",
      "- the simplices of a representative of the cycle "
     ]
    },
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     "input": [
      "cyc=topology.homology_cycles(filt,order)"
     ],
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    {
     "cell_type": "markdown",
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     "source": [
      "This function computes cohomology of the simplicial complex filtration, similarly to the homology.\n",
      "\n",
      "outputs is a list of tuples with:                                                                                         \n",
      "\n",
      "- cocycle order                                                                                                           \n",
      "- birth filtration value                                                                                                  \n",
      "- death filtration value, inf is still alive                                                                              \n",
      "- the simplex that killed the cycle if dead                                                                               \n",
      "- the zcolumn if dead or the cocycle object                                                                               \n",
      "- the simplices of a representative of the cocycle          "
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "ccyc,ch=topology.cohomology_cycles(filt,3)"
     ],
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     ],
     "prompt_number": 22
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "Plotting the barcode, horizontal axis indexes the filtration value and each bar is a cycle, each section is for the different orders of cycles, 0,1,2"
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "barcode=topology.plot_barcode(cyc,order,max_filt_value)"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "metadata": {},
       "output_type": "display_data",
       "png": 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       "text": [
        "<matplotlib.figure.Figure at 0x8b479d0>"
       ]
      }
     ],
     "prompt_number": 20
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "We here compute the boundary matrices as sparse matrices, which are the incidence matrices for simplices of increasing order"
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "mxs=topology.boundary_mx(filt,3)\n",
      "mxs"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "metadata": {},
       "output_type": "pyout",
       "prompt_number": 24,
       "text": [
        "[<800x8285 sparse matrix of type '<type 'numpy.int64'>'\n",
        "\twith 16570 stored elements in COOrdinate format>,\n",
        " <8285x30478 sparse matrix of type '<type 'numpy.int64'>'\n",
        "\twith 91434 stored elements in COOrdinate format>,\n",
        " <30478x64207 sparse matrix of type '<type 'numpy.int64'>'\n",
        "\twith 256828 stored elements in COOrdinate format>]"
       ]
      }
     ],
     "prompt_number": 24
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "computing the laplacian of order 0, still using sparse matrices, this is easy"
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "l0 = mxs[0].dot(mxs[0].T)"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [],
     "prompt_number": 25
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "we compute the svd of the laplacian, we first convert the laplacian to dense matrix as it is small enough and thus faster to decompose using standard algorithm, and a quick display of the eigenvalues and eigenvectors matrix.\n",
      "\n",
      "In that case there is only one zero eigenvalue as there is only one connected component in the simplicial complex."
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "el0=np.linalg.svd(np.asarray(l0.todense()))\n"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [],
     "prompt_number": 32
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "plot(el0[1])\n",
      "matshow(el0[0],vmin=-.1,vmax=.1)"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "metadata": {},
       "output_type": "pyout",
       "prompt_number": 33,
       "text": [
        "<matplotlib.image.AxesImage at 0xe687b50>"
       ]
      },
      {
       "metadata": {},
       "output_type": "display_data",
       "png": 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       "text": [
        "<matplotlib.figure.Figure at 0xecab210>"
       ]
      },
      {
       "metadata": {},
       "output_type": "display_data",
       "png": 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MQ2TqUhZZ5Nz37nT5W7fplOWKp+a44rU5SjS4ec+rLTfWWiNUHztbsUadshwX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UoAzZHbqCEQP133tBU3TvV4mD3KeY4pR7BhYNX5NLIVH3xoYEfIHJqVt3HGgouyldWHN+jv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\nRK5CYII=\n",
       "text": [
        "<matplotlib.figure.Figure at 0xd29d190>"
       ]
      }
     ],
     "prompt_number": 33
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "then compute the laplacian at order 1, which is the sum of laplacians \"up\" and \"down\""
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "l1 = mxs[1].dot(mxs[1].T) + mxs[0].T.dot(mxs[0])\n",
      "l1.shape"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "metadata": {},
       "output_type": "pyout",
       "prompt_number": 34,
       "text": [
        "(8285, 8285)"
       ]
      }
     ],
     "prompt_number": 34
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "this is a quite big matrix to decompose, we are here forced to use some sparse algorithm and choose a subset of eigenvectors/values to get, either from the top or bottom of the spectrum, we here do both for 100 evs.\n",
      "this can take quite a long time to compute (the longer is for the small eigenvalues), please be patient.\n",
      "\n",
      "we then plot the eigenvalues."
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "el1_top=scipy.sparse.linalg.svds(l1.astype(np.float32),k=100)\n",
      "el1_bot=scipy.sparse.linalg.svds(l1.astype(np.float32),k=100,which='SM')"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "output_type": "stream",
       "stream": "stderr",
       "text": [
        "/home_local/bpinsard/.virtualenvs/processing_virtenv/lib64/python2.6/site-packages/scipy/sparse/linalg/eigen/arpack/arpack.py:1652: RuntimeWarning: invalid value encountered in sqrt\n",
        "  s = np.sqrt(eigvals)\n"
       ]
      }
     ],
     "prompt_number": 39
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "plot(el1_top[1])\n",
      "figure()\n",
      "plot(el1_bot[1])"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "metadata": {},
       "output_type": "pyout",
       "prompt_number": 42,
       "text": [
        "[<matplotlib.lines.Line2D at 0x14a72150>]"
       ]
      },
      {
       "metadata": {},
       "output_type": "display_data",
       "png": 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       "text": [
        "<matplotlib.figure.Figure at 0xc46f690>"
       ]
      },
      {
       "metadata": {},
       "output_type": "display_data",
       "png": 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IMPc87dRJfeYi0jzUgm9GhgFHj4LLZXahlJSYAb5lCxw6BNdfD/37Q2Sk2fJu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\n",
       "text": [
        "<matplotlib.figure.Figure at 0xda24c90>"
       ]
      }
     ],
     "prompt_number": 42
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "now we can display the results on the brain coordinates in 3d, "
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "mlab.points3d(cens[:,0],cens[:,1],cens[:,2],scale_factor=2)"
     ],
     "language": "python",
     "metadata": {},
     "outputs": []
    }
   ],
   "metadata": {}
  }
 ]
}