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<!doctype html> | ||
<html lang="en"> | ||
<head> | ||
<meta charset="utf-8"> | ||
<title>Particles background</title> | ||
<style> | ||
html, body { | ||
font-family: "Helvetica Neue",Helvetica,Arial,sans-serif; | ||
font-size: 24px; | ||
margin:0; | ||
height: 100%; | ||
/* Resize the background image to cover the entire container */ | ||
} | ||
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.bg { | ||
width:100%; | ||
height:100%; | ||
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background-image: url('/talks/assets/LSST_stills_0009b.jpg'); | ||
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background-position: center; | ||
background-repeat: no-repeat; | ||
background-size: cover; | ||
} | ||
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.part { | ||
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width:100%; | ||
height:100%; | ||
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} | ||
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</style> | ||
</head> | ||
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<body> | ||
<div class="bg" > | ||
<div class="part" id="particles-js"></div> | ||
</div> | ||
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</body> | ||
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<script src="particles.min.js"></script> | ||
<script> | ||
/* particlesJS.load(@dom-id, @path-json, @callback (optional)); */ | ||
particlesJS.load('particles-js', 'particles.json', function() { | ||
console.log('callback - particles.js config loaded'); | ||
}); | ||
</script> | ||
</html> |
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<!DOCTYPE html> | ||
<html> | ||
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<head> | ||
<title>Generative Models as Priors for Inverse Problems</title> | ||
<style> | ||
body { | ||
height: 500px; | ||
width: 500px; | ||
} | ||
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/* #animation { | ||
position: absolute; | ||
top: 0px; | ||
left: 0px; | ||
background: #000; | ||
} body { | ||
text-align: center; | ||
} | ||
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#mynetwork { | ||
height: 500px; | ||
} */ | ||
</style> | ||
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<!-- Import TensorFlow.js --> | ||
<script src="https://cdn.jsdelivr.net/npm/@tensorflow/tfjs@1.1.0/dist/tf.min.js"></script> | ||
<script src="https://d3js.org/d3.v5.min.js"></script> | ||
</head> | ||
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<body> | ||
<canvas id="animation" height="500" width="500"></canvas> | ||
<script> | ||
(async function animation() { | ||
// This function is closely modeled on http://bl.ocks.org/newby-jay/767c5ffdbbe43b65902f | ||
const model = await tf.loadGraphModel('models/js/export3/model.json'); | ||
const grads = tf.grad(x => model.predict(x)); | ||
const vfunc = (x, y) => { | ||
c = tf.concat([tf.reshape(x, [-1, 1]), tf.reshape(y, [-1, 1])], axis = 1); | ||
gr = grads(c); | ||
gn = tf.sum(tf.mul(gr, gr), axis = 1, keepDims = true); | ||
gr = tf.mul(tf.div(gr, gn), tf.clipByValue(gn, 0, 100)); | ||
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return tf.split(gr, 2, axis = 1); | ||
}; | ||
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// vector field data | ||
var dt = 0.003, | ||
X0 = [], | ||
Y0 = [], // to store initial starting locations | ||
X = [], | ||
Y = [], // to store current point for each curve | ||
Xd = [], | ||
Yd = [], | ||
xb = 4, | ||
yb = 3; | ||
var sigma = 0.2; | ||
var X1 = 0.5, | ||
Y1 = 0.5, | ||
X2 = 0, | ||
Y2 = 0; | ||
var XC = 1, | ||
YC = 1; | ||
var width = 500, | ||
height = 500; | ||
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// First draw the modelled density in the background | ||
var N = 128 | ||
var xd = d3.range(N).map( | ||
function(i) { | ||
return -1.5 + xb * i / N; | ||
}), | ||
yd = d3.range(N).map( | ||
function(i) { | ||
return -1 + yb * i / N; | ||
}); | ||
// array of starting positions for each curve on a uniform grid | ||
for (var i = 0; i < N; i++) { | ||
for (var j = 0; j < N; j++) { | ||
Xd.push(xd[j]), Yd.push(yd[i]); | ||
} | ||
} | ||
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// Compute the density field in this input resolution and rescale it to output res | ||
const logp = tf.tidy(() => { | ||
const c = tf.concat([tf.reshape(Xd, [-1, 1]), tf.reshape(Yd, [-1, 1])], axis = 1); | ||
const out = model.predict(c); | ||
const out_resized = tf.exp(tf.image.resizeBilinear(tf.reshape(out, [N, N, 1]), [width, height])); | ||
return out_resized.dataSync(); | ||
}); | ||
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// Store this array as image data | ||
var g = d3.select("#animation").node().getContext("2d"); | ||
var imagedata = g.createImageData(width, height); | ||
for (var x = 0; x < width; x++) { | ||
for (var y = 0; y < height; y++) { | ||
var pixelindex = (y * width + x) * 4; | ||
// Generate a xor pattern with some random noise | ||
var po = logp[((height - 1 - y) * width + x)] * 0.5; | ||
if (isNaN(po)) { | ||
po = 0; | ||
} | ||
c = d3.rgb(d3.interpolateInferno(po)); | ||
// Set the pixel data | ||
imagedata.data[pixelindex] = c.r; // Red | ||
imagedata.data[pixelindex + 1] = c.g; // discretize the vfield coordsgreen; // Green | ||
imagedata.data[pixelindex + 2] = c.b; // Blue | ||
imagedata.data[pixelindex + 3] = 255; // Alpha | ||
} | ||
} | ||
g.putImageData(imagedata, 0, 0); | ||
for (var x = 0; x < width; x++) { | ||
for (var y = 0; y < height; y++) { | ||
var pixelindex = (y * width + x) * 4; | ||
// Generate a xor pattern with some random noise | ||
var po = logp[((height - 1 - y) * width + x)] * 0.5; | ||
if (isNaN(po)) { | ||
po = 0; | ||
} | ||
c = d3.rgb(d3.interpolateInferno(po)); | ||
// Set the pixel data | ||
imagedata.data[pixelindex] = c.r; // Red | ||
imagedata.data[pixelindex + 1] = c.g; // discretize the vfield coordsgreen; // Green | ||
imagedata.data[pixelindex + 2] = c.b; // Blue | ||
imagedata.data[pixelindex + 3] = 25; // Alpha | ||
} | ||
} | ||
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var N = 50; | ||
var xp = d3.range(N).map( | ||
function(i) { | ||
return -1.5 + xb * i / N; | ||
}), | ||
yp = d3.range(N).map( | ||
function(i) { | ||
return -1 + yb * i / N; | ||
}); | ||
// array of starting positions for each curve on a uniform grid | ||
for (var i = 0; i < N; i++) { | ||
for (var j = 0; j < N; j++) { | ||
X.push(xp[j]), Y.push(yp[i]); | ||
X0.push(xp[j]), Y0.push(yp[i]); | ||
} | ||
} | ||
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// // vfield | ||
function F(x, y) { | ||
const [px, py] = tf.tidy(() => { | ||
const [predx, predy] = vfunc(x, y); | ||
return [predx.dataSync(), predy.dataSync()]; | ||
}); | ||
return [px, py]; | ||
} | ||
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//// frame setup | ||
var mw = 0; | ||
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g.lineWidth = 0.8; | ||
g.strokeStyle = "#FF8000"; // html color code | ||
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//// mapping from vfield coords to web page coords | ||
var xMap = d3.scaleLinear() | ||
.domain([-1.5, 2.5]) | ||
.range([mw, width - mw]), | ||
yMap = d3.scaleLinear() | ||
.domain([-1, 2.]) | ||
.range([height - mw, mw]); | ||
//// animation setup | ||
var animAge = 0, | ||
frameRate = 30, // ms per timestep (yeah I know it's not really a rate) | ||
M = X.length, | ||
thr = 200, | ||
MaxAge = 100, // # timesteps before restart | ||
age = []; | ||
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for (var i = 0; i < M; i++) { | ||
age.push(randage()); | ||
} | ||
var drawFlag = false; | ||
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d3.timer(function() { | ||
if (drawFlag) { | ||
draw(); | ||
} | ||
}, frameRate); | ||
d3.select("#animation") | ||
.on("click", function() { | ||
var mouse = d3.mouse(this); | ||
XC = xMap.invert(mouse[0]); | ||
YC = yMap.invert(mouse[1]); | ||
}) | ||
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d3.select("body").on("keypress", function() { | ||
if (d3.event.keyCode === 32 || d3.event.keyCode === 13) { | ||
drawFlag = (drawFlag) ? false : true; | ||
} | ||
if (d3.event.keyCode === 61) { | ||
sigma = sigma * 2.; | ||
} | ||
if (d3.event.keyCode === 45) { | ||
sigma /= 2.; | ||
} | ||
}) | ||
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function randage() { | ||
// to randomize starting ages for each curve | ||
return Math.round(Math.random() * 100); | ||
} | ||
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var overlayCanvas = document.createElement("canvas"); | ||
overlayCanvas.width = width; | ||
overlayCanvas.height = height; | ||
overlayCanvas.getContext("2d").putImageData(imagedata, 0, 0); | ||
g.imageSmoothingEnabled = false; | ||
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// for info on the global canvas operations see | ||
// http://bucephalus.org/text/CanvasHandbook/CanvasHandbook.html#globalcompositeoperation | ||
g.globalCompositeOperation = "source-over"; | ||
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function draw() { | ||
var s = (xMap(sigma) - xMap(0)); | ||
//g.fillRect(0, 0, width, height); // fades all existing curves by a set amount determined by fillStyle (above), which sets opacity using rgba | ||
//g.putImageData(imagedata,0,0); | ||
g.drawImage(overlayCanvas, 0, 0); | ||
// Compute dr for all points | ||
g.lineWidth = 1.5; | ||
g.strokeStyle = "#FF8000"; // html color code | ||
var [dx, dy] = F(X, Y); | ||
for (var i = 0; i < M; i++) { // draw a single timestep for every curve | ||
// if dx dy is larger than our threshold, we don't need to move this point | ||
if ((dx[i] ** 2 + dy[i] ** 2) < thr) { | ||
g.beginPath(); | ||
g.moveTo(xMap(X[i]), yMap(Y[i])); // the start point of the path | ||
g.lineTo(xMap(X[i] += dx[i] * dt), yMap(Y[i] += dy[i] * dt)); // the end point | ||
g.stroke(); // final draw command | ||
}; | ||
if (age[i]++ > MaxAge) { | ||
// incriment age of each curve, restart if MaxAge is reached | ||
age[i] = randage(); | ||
X[i] = X0[i], Y[i] = Y0[i]; | ||
} | ||
} | ||
// Computes gradients of the solution | ||
var [dx, dy] = F([X1, X2], [Y1, Y2]); | ||
dx[0] += 0.5 * (XC - X1) / sigma / sigma; | ||
dx[1] += 0.5 * (XC - X2) / sigma / sigma; | ||
dy[0] += 0.5 * (YC - Y1) / sigma / sigma; | ||
dy[1] += 0.5 * (YC - Y2) / sigma / sigma; | ||
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// Draw solution points | ||
g.lineWidth = 14; | ||
g.strokeStyle = g.fillStyle = "#96CDFF"; // html color code | ||
XS = X1; //+X2; YS=Y1+Y2; | ||
YS = Y1; | ||
g.beginPath(); | ||
g.moveTo(xMap(X1), yMap(Y1)); | ||
g.lineTo(xMap(X1 += dx[0] * dt), yMap(Y1 += dy[0] * dt)); | ||
g.stroke(); | ||
g.beginPath(); | ||
g.arc(xMap(X1), yMap(Y1), 7, 0, 2 * Math.PI); | ||
g.fill(); | ||
// | ||
// g.strokeStyle = g.fillStyle = "#96CDFF"; // html color code | ||
// g.beginPath(); | ||
// g.moveTo(xMap(X2), yMap(Y2)); | ||
// g.lineTo(xMap(X2+=dx[1]*dt), yMap(Y2+=dy[1]*dt)); | ||
// g.stroke(); | ||
// g.beginPath(); | ||
// g.arc(xMap(X2), yMap(Y2), 7, 0, 2 * Math.PI); | ||
// g.fill(); | ||
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// g.strokeStyle = g.fillStyle = "#E32E52";//#896ED1"; // html color code | ||
// g.beginPath(); | ||
// g.moveTo(xMap(XS), yMap(YS)); | ||
// XS=X1+X2; YS=Y1+Y2; | ||
// g.lineTo(xMap(XS), yMap(YS)); | ||
// g.stroke(); | ||
// g.beginPath(); | ||
// g.arc(xMap(XS), yMap(YS), 7, 0, 2 * Math.PI); | ||
// g.fill(); | ||
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g.beginPath(); | ||
g.strokeStyle = "#C94277"; | ||
g.lineWidth = 1.5; | ||
g.arc(xMap(XC), yMap(YC), 7, 0, 2 * Math.PI); | ||
g.arc(xMap(XC), yMap(YC), s, 0, 2 * Math.PI); | ||
g.stroke(); | ||
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} | ||
})() | ||
</script> | ||
</body> | ||
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</html> |
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