From 14f5038a6ebeb8270b50b90c1e2cb7ab62bc1872 Mon Sep 17 00:00:00 2001 From: EtienneCmb Date: Thu, 4 Jul 2024 18:57:18 +0000 Subject: [PATCH] =?UTF-8?q?Deploying=20to=20gh-pages=20from=20@=20brainets?= =?UTF-8?q?/hoi@cd95dd7c0a72a21b4d658dac9f5c9a863129a458=20=F0=9F=9A=80?= MIME-Version: 1.0 Content-Type: text/plain; charset=UTF-8 Content-Transfer-Encoding: 8bit --- .../auto_examples_python.zip | Bin 68162 -> 70695 bytes .../plot_sim_red_syn.ipynb | 262 +++++++++++++++++- .../auto_examples_jupyter.zip | Bin 96854 -> 102987 bytes .../plot_sim_red_syn.py | 140 ++++++++-- _images/sphx_glr_plot_bootstrapping_001.png | Bin 15254 -> 15979 bytes _images/sphx_glr_plot_bootstrapping_002.png | Bin 23016 -> 23854 bytes _images/sphx_glr_plot_bootstrapping_003.png | Bin 22295 -> 22542 bytes _images/sphx_glr_plot_bootstrapping_thumb.png | Bin 18794 -> 19438 bytes _images/sphx_glr_plot_entropies_001.png | Bin 61526 -> 61785 bytes _images/sphx_glr_plot_entropies_002.png | Bin 41897 -> 42159 bytes _images/sphx_glr_plot_entropies_003.png | Bin 55941 -> 55763 bytes _images/sphx_glr_plot_entropies_thumb.png | Bin 44763 -> 45375 bytes _images/sphx_glr_plot_infotopo_001.png | Bin 24536 -> 24333 bytes _images/sphx_glr_plot_infotopo_002.png | Bin 20417 -> 20400 bytes _images/sphx_glr_plot_infotopo_thumb.png | Bin 17394 -> 17242 bytes _images/sphx_glr_plot_mi_001.png | Bin 62637 -> 63264 bytes _images/sphx_glr_plot_mi_thumb.png | Bin 45565 -> 46081 bytes _images/sphx_glr_plot_ml_vs_it_001.png | Bin 153385 -> 155873 bytes _images/sphx_glr_plot_ml_vs_it_002.png | Bin 147804 -> 146208 bytes _images/sphx_glr_plot_ml_vs_it_003.png | Bin 45537 -> 44649 bytes _images/sphx_glr_plot_ml_vs_it_thumb.png | Bin 25643 -> 25914 bytes _images/sphx_glr_plot_oinfo_001.png | Bin 41033 -> 38683 bytes _images/sphx_glr_plot_oinfo_thumb.png | Bin 29137 -> 27315 bytes _images/sphx_glr_plot_rsi_001.png | Bin 33725 -> 33911 bytes _images/sphx_glr_plot_rsi_thumb.png | Bin 23437 -> 23603 bytes _images/sphx_glr_plot_sim_red_syn_001.png | Bin 22883 -> 23060 bytes _images/sphx_glr_plot_sim_red_syn_002.png | Bin 25914 -> 24871 bytes _images/sphx_glr_plot_sim_red_syn_thumb.png | Bin 16552 -> 16492 bytes _images/sphx_glr_plot_syn_phiID_001.png | Bin 12884 -> 13550 bytes _images/sphx_glr_plot_syn_phiID_002.png | Bin 13420 -> 13095 bytes _images/sphx_glr_plot_syn_phiID_thumb.png | Bin 13971 -> 14559 bytes .../hoi.simulation.simulate_hoi_gauss.html | 10 +- auto_examples/it/plot_entropies.html | 2 +- auto_examples/it/plot_mi.html | 2 +- auto_examples/it/plot_tutorial_core.html | 6 +- auto_examples/it/sg_execution_times.html | 8 +- auto_examples/metrics/plot_infotopo.html | 68 ++--- auto_examples/metrics/plot_oinfo.html | 130 ++++----- auto_examples/metrics/plot_rsi.html | 89 +++--- auto_examples/metrics/plot_syn_phiID.html | 32 +-- auto_examples/metrics/sg_execution_times.html | 16 +- .../miscellaneous/plot_inspect_results.html | 16 +- auto_examples/miscellaneous/plot_jax.html | 6 +- .../miscellaneous/sg_execution_times.html | 6 +- .../statistics/plot_bootstrapping.html | 12 +- .../statistics/sg_execution_times.html | 4 +- auto_examples/tutorials/plot_ml_vs_it.html | 2 +- auto_examples/tutorials/plot_sim_red_syn.html | 202 +++++++++++--- .../tutorials/sg_execution_times.html | 6 +- objects.inv | Bin 3472 -> 3479 bytes searchindex.js | 2 +- sg_execution_times.html | 38 +-- 52 files changed, 772 insertions(+), 287 deletions(-) diff --git a/_downloads/07fcc19ba03226cd3d83d4e40ec44385/auto_examples_python.zip b/_downloads/07fcc19ba03226cd3d83d4e40ec44385/auto_examples_python.zip index 142c5251cc06b88afca2ead5c134228d49485fc3..5ff3ba736115d93224f51b9e0b29316de2498063 100644 GIT binary patch delta 1622 zcmb_dU1(fI6yCW_H_4i&+ilj8*2tuhSm9c-6_uo}HBv481GS|j^dUQYcXoHe-nrL1 zv+gc}Y0)>IWMt<>P(l0w36ufxp-||9h%X9J%9gfIP18_B3=M%kdG5{6HnoBexv+od z9L~@8edp}ePdmQ(wxj2*liND_V&U_kd8sGUV?Ah^BRzJ~+OCcJ)bX^{tIdy@pORKe zn+vb|d#v5sEKS}YwvyW1z3_6{8q{X6`B%ys&?fcW(H&M=n~5Jz@9kY`-kz9!W@&kJ zI2IcnHs-fatmlh?=i;)*4hrU0D?~DnW9Ir^An}@oPJw%>M5;olcV8S*#krMZ5GvVw zBw$2R9Jv_bI5OlbG%hs^{^vB!K6K3X* zpOJE}AD%hR+xa$CDG*6)%p_(4`<@UC3SsHt66G`q+Yk--Qfgqr3(!D73sqhq+-cx^ z0}Co8<0UN16#FC~E`|C6d&S7&cv0uvp?C&53|RdjK3j%5OhBeunMmxwczKEo9;dh} z)>9R$+zAnbs4=HPgc!?hhH@R%hcL{+5Iibd^ePpv7Ursv##jQ9)Uo<{e&3mY1Aica z;gKXLQJH;{R0Op#pAy9ND^z4NBO@a=hQ8sKoN~%Apab(|_pd>+Kk=N(-04%l-l(hd zg&oSY_NdvrJ5{Tdj<1HOmDVf0fGPu4L;8R!m09Xn6W7z~*tJ6n)A;Fe5t^gU+u+)` zMk8=GXprTAK1LJ5#(qEri}}HGTZUqL+BT3Mc7$lD zb2m?PZ@3j&d=fO=w<}Uy)y1A4Diidf#ur~O@mqCd_TBgr0ivlW#_{~dS`gqpzL*(E z48i#Cw51!$j=CUg3Nlm|Tf5Eo*YcLa3w`GD%~NqCOxJCWvUw_NlyXegMGz``eH)`) zgrx|*k$|8?+t;qcIyV2Wlwe@5-I`zoa)}|X} l@iJWUS6d(1@At=I;cIX7cd`2R)y17FI+;Lr{Av<`=^t91ROtW! delta 490 zcmZ3!g5}T@7M=iaW)=|!5IEklk;jmS>3GX#dmbGDrVA~bb7ee5nQpdh-eGu5fayWY z<_4z%ai)hYn?FT8pepB?nB z<;_d3USXUZ@IYvC^DTwR{vX+7GExGCBZ*Zu(?F zp!kE9={E%#U4cP2T|tP^5g2sSlZ6=Vfk8KYi4aiyb<6bELX3gHpqp+d%;>|18g$cV z2s7F$90CTX-OU!AYDoqL5S9YR8H8BUsP%TT_IDYv0B=?{kPr_L`ZF^y++||~@&Jt8 Bw3`3` diff --git a/_downloads/2a4afa62d27b153aa605e093f9600e6b/plot_sim_red_syn.ipynb b/_downloads/2a4afa62d27b153aa605e093f9600e6b/plot_sim_red_syn.ipynb index 197ff328..a4283453 100644 --- a/_downloads/2a4afa62d27b153aa605e093f9600e6b/plot_sim_red_syn.ipynb +++ b/_downloads/2a4afa62d27b153aa605e093f9600e6b/plot_sim_red_syn.ipynb @@ -15,14 +15,14 @@ }, "outputs": [], "source": [ - "import numpy as np\n\nfrom hoi.metrics import Oinfo, GradientOinfo\n\nimport matplotlib.pyplot as plt\n\nnp.random.seed(42)\nplt.style.use(\"ggplot\")" + "import numpy as np\n\nfrom hoi.metrics import Oinfo, GradientOinfo\nfrom hoi.simulation import simulate_hoi_gauss\n\nimport matplotlib.pyplot as plt\n\nnp.random.seed(42)\nplt.style.use(\"ggplot\")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ - "## Redundant and synergistic behavior\n\nIn this first part, we are going to create a random variable `x`, a network\ncomposed of three nodes (1, 2, 3). Then we need a function to estimate\nwhether the interactions between the three nodes are more redundant or more\nsynergistic. To estimate whether the interactions between the three nodes are\nredundant or # synergistic, we are gonig to use the\n:class:`hoi.metrics.Oinfo`. When the Oinfo is positive, it means that the\ninteractions are redundant and if the Oinfo is negative, the interactions are\nsynergistic.\n\n" + "## Redundant and synergistic behavior\n\nIn this first part, we are going to create a multivariate gaussian variable\n`x` with specific information patterns. Then we need a function to estimate\nwhether the interactions between the three nodes are more redundant or more\nsynergistic. To estimate whether the interactions between the three nodes are\nredundant or synergistic, we are gonig to use the\n:class:`hoi.metrics.Oinfo`. When the Oinfo is positive, it means that the\ninteractions are redundant and if the Oinfo is negative, the interactions are\nsynergistic.\n\n" ] }, { @@ -40,7 +40,7 @@ "cell_type": "markdown", "metadata": {}, "source": [ - "### Simulating redundant behavior\n\nThe redundancy means that the nodes (1, 2, 3) in the system `x` are receiving\nmultiple copies of the same information. A simple way to simulate redundancy\nconsists in taking the signal of one node, let's say the first one, and copy\nthis signal to the two other nodes.\n\n" + "### Simulating synergistic behavior\n\nIn gaussian multivariate data, it is possible to generate synergy and\nredundancy by setting the parameters of the covariance matrix. This is\nwhat can be done using the function\n:class:`hoi.simulation.simulate_hoi_gauss`, in the following way:\n\n" ] }, { @@ -51,7 +51,68 @@ }, "outputs": [], "source": [ - "# x = (n_samples, n_nodes)\nx = np.random.rand(1000, 3)\n\nx[:, 1] = x[:, 1] + x[:, 0] # 1 = 1 & 0\nx[:, 2] = x[:, 2] + x[:, 0] # 2 = 2 & 0" + "# x = (n_samples, n_nodes)\nx = simulate_hoi_gauss(\n target=False, n_samples=1000, triplet_character=\"synergy\"\n)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "compute hoi using the Oinfo\n\n" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "collapsed": false + }, + "outputs": [], + "source": [ + "hoi = compute_hoi_beh(x)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Print HOI value\n\n" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "collapsed": false + }, + "outputs": [], + "source": [ + "print(f\"HOI between nodes (1, 2, 3) : {hoi}\")" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "As we can see, the estimated HOI is negative which is the hallmark of\nsynergy when using the Oinfo. Be careful because some metrics are positive\nfor synergistic interactions.\n\n" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Simulating redundant behavior\n\nAs for the redundancy, we can generate three gaussian variables, presenting\nsynergistic behavior, using the funciton,\n:class:`hoi.simulation.simulate_hoi_gauss`, in the following way:\n\n" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "collapsed": false + }, + "outputs": [], + "source": [ + "# x = (n_samples, n_nodes)\nx = simulate_hoi_gauss(\n target=False, n_samples=1000, triplet_character=\"redundancy\"\n)" ] }, { @@ -94,14 +155,14 @@ "cell_type": "markdown", "metadata": {}, "source": [ - "As we can see, the estimated HOI is positive which is the hallmark of\nredundancy when using the Oinfo. Be careful because some metrics are negative\nfor redundant interactions.\n\n" + "Now HOI is positive, therefore the interaction between the three nodes is\ndominated by redundancy.\n\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ - "### Simulating synergistic behavior\n\nA synergy is obtained when elements of a system work together to produce an\neffect that is greater than the sum of their individual contributions. A\nsimple example is the sum. When a variable `A` is defined as the sum of two\nother variables $A = B + C$ then we need both `B` and `C` to know `A`.\nThat's what we are going to use here to simulate synergy.\n\n" + "### Simulating synergistic behavior by sum operation\n\nA synergy is obtained when elements of a system work together to produce an\neffect that is greater than the sum of their individual contributions. A\nsimple example is the sum. When a variable `A` is defined as the sum of two\nother variables $A = B + C$ then we need both `B` and `C` to know `A`.\nThat's what we are going to use here to simulate synergy.\n\n" ] }, { @@ -158,6 +219,67 @@ "Now HOI is negative, therefore the interaction between the three nodes is\ndominated by synergy.\n\n" ] }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Simulating redundant behavior by copy operator\n\nRedundancy can emerge when nodes (1, 2, 3) in the system `x` are receiving\nmultiple copies of the same information. A simple way to simulate redundancy\nconsists in taking the signal of one node, let's say the first one, and copy\nthis signal to the two other nodes.\n\n" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "collapsed": false + }, + "outputs": [], + "source": [ + "# x = (n_samples, n_nodes)\nx = np.random.rand(1000, 3)\n\nx[:, 1] = x[:, 1] + x[:, 0] # 1 = 1 & 0\nx[:, 2] = x[:, 2] + x[:, 0] # 2 = 2 & 0" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "compute hoi using the Oinfo\n\n" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "collapsed": false + }, + "outputs": [], + "source": [ + "hoi = compute_hoi_beh(x)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Print HOI value\n\n" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "collapsed": false + }, + "outputs": [], + "source": [ + "print(f\"HOI between nodes (1, 2, 3) : {hoi}\")" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "As we can see, the estimated HOI is positive which is the hallmark of\nredundancy when using the Oinfo.\n\n" + ] + }, { "cell_type": "markdown", "metadata": {}, @@ -180,7 +302,7 @@ "cell_type": "markdown", "metadata": {}, "source": [ - "## Redundant and synergistic encoding\n\nIn this second part, we are going to switch for encoding measure, in the sens\nthat elements of a network areg going to carry redundant or synergistic\ninformation about an external variable. To estimate HOI about a target\nvariable `y`, we're going to use the :class:`hoi.metrics.GradientOinfo`. To\nsimulate redundancy and synergy, we're going to use the same method as\nbefore.\n\n" + "## Redundant and synergistic encoding\n\nIn this second part, we are going to switch for encoding measure, in the sens\nthat elements of a network areg going to carry redundant or synergistic\ninformation about an external variable. To estimate HOI about a target\nvariable `y`, we're going to use the :class:`hoi.metrics.GradientOinfo`. To\nsimulate redundancy and synergy, we're going to use the same methods as\nbefore.\n\n" ] }, { @@ -198,7 +320,129 @@ "cell_type": "markdown", "metadata": {}, "source": [ - "### Simulating redundant encoding\n\nTo simulate redundancy, we copy the y variable into each node of x\n\n" + "### Simulating redundant encoding\n\nTo simulate redundancy, between a triplet of variable `x` and a target\nvariable `y`\n\n" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "collapsed": false + }, + "outputs": [], + "source": [ + "# x = (n_samples, n_nodes)\nx, y = simulate_hoi_gauss(\n target=True, n_samples=1000, triplet_character=\"redundancy\"\n)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "compute hoi\n\n" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "collapsed": false + }, + "outputs": [], + "source": [ + "hoi = compute_hoi_enc(x, y)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Print HOI value\n\n" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "collapsed": false + }, + "outputs": [], + "source": [ + "print(f\"HOI between nodes (1, 2, 3) about y : {hoi}\")" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "the estimated HOI is positive which represents redundant interactions between\nthe three nodes about y.\n\n" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Simulating synergistic encoding\n\nTo simulate synergy, between a triplet of variable `x` and a target\nvariable `y`\n\n" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "collapsed": false + }, + "outputs": [], + "source": [ + "# x = (n_samples, n_nodes)\nx, y = simulate_hoi_gauss(\n target=True, n_samples=1000, triplet_character=\"synergy\"\n)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "compute hoi\n\n" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "collapsed": false + }, + "outputs": [], + "source": [ + "hoi = compute_hoi_enc(x, y)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Print HOI value\n\n" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "collapsed": false + }, + "outputs": [], + "source": [ + "print(f\"HOI between nodes (1, 2, 3) about y : {hoi}\")" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "the estimated HOI is negative which represents synergistic interactions\nbetween the three nodes about y.\n\n" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Simulating redundant encoding by copy operation\n\nTo simulate redundancy, we copy the y variable into each node of x\n\n" ] }, { @@ -259,7 +503,7 @@ "cell_type": "markdown", "metadata": {}, "source": [ - "### Simulating synergistic encoding\n\nTo simulate synergy, we define the y variable as the sum of the three nodes\n\n" + "### Simulating synergistic encoding by sum operation\n\nTo simulate synergy, we define the y variable as the sum of the three nodes\n\n" ] }, { diff --git a/_downloads/6f1e7a639e0699d6164445b55e6c116d/auto_examples_jupyter.zip b/_downloads/6f1e7a639e0699d6164445b55e6c116d/auto_examples_jupyter.zip index 75d1cc2ef154a78aab9137bfdccf20f41f654e56..1895409968b22d6afca727d5e49f788c7c93700c 100644 GIT binary patch delta 1644 zcmb`IUuYaf9LMjs$sHlNq?)8Hu_T>KgFRtwFTpCF4YbC#SA9?<{v&Je=I-Wh2kvH% zow;0A#pshzq*NF3(-+ZF^+74EXITXm8tRiEK8QZp2OoS=tPSXc0sqWia!Hf)K_Lsf z%>HI}<~N_;cfR}G@6oT$$KsDY($P5>39sdaOYy(^jVLzb1IvR(A2z#^Gkc8Nu*s&5 z4H*O2{Ls3#*Vu{8(=S}O$LPmq`ci4w7{%tfuSbTB1U46c$qgFAczF!o-PiZW!cR|M zJbI&RDHDk-WrFYb!I_S`ORiHTw!;rdUaeQC;*KD^T60`QRwFE{yR&6lm(ovU_v7jP z@bhs!R`FTta;g|<^>HdlE0C`+OXTKqq`{R_7M8`ddOMNPsL;gZxGDY;&XD2J4pU~ZU*^mL=_5h{w7 za9Ob~ic}OllJ|&YN^wyp%4VcSU0P*214*0`@h|r5oH; z7^%zlho!nGgoG@SE>x(L>D)$gZHPA^%bETzddz?Ole75ONf>!@E7YVVh`tnc%S=rk 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