40:null 41:["$","title",null,{"children":"Overlapping Data | Jack Wallace's Workspace | Observable"}] 47:[] 45:{"id":"f5772c1bf9921bf7","slug":null,"title":"Overlapping Data","thumbnail":"3a89c5a49c56243d39d4c5d1818508f0f32aad3e115a42f2f5ccb9fa2ed19180","access_level":"public","create_time":"$D2023-10-05T12:42:35.144Z","update_time":"$D2023-10-05T13:08:54.415Z","view_time":null,"first_public_time":"$D2023-10-05T12:42:35.144Z","has_unpublished_edits":null,"fork":{"id":"008eefc1950c5641","slug":null,"title":"Overlapping Data","owner":{"id":"66151b62b45d9fca","login":"credmond","name":"Charles Redmond"}},"stars":0,"starred":false,"owner":{"type":"team","id":"324e05bca736b362","login":"jack-wallace-ws","name":"Jack Wallace's Workspace","avatar_url":"https://avatars-next.observableusercontent.com/c233ab1750f27330e8c93f4c7fe15fabbb34003d521a8f8f186042cc68dde824","tier":"starter_2024","bio":"","following":false},"version":233,"publish_version":null,"role":null,"authored":false,"authors":[{"type":"individual","id":"5e0ce93b27667e82","login":"jack-wallace","name":"Jack Wallace","avatar_url":"https://avatars-next.observableusercontent.com/765e69f73a62709f08bfd9197d31b8598976196b623afdc629446d2939963369","tier":null,"bio":"","following":false}],"members":[{"type":"individual","id":"5e0ce93b27667e82","login":"jack-wallace","name":"Jack Wallace","avatar_url":"https://avatars-next.observableusercontent.com/765e69f73a62709f08bfd9197d31b8598976196b623afdc629446d2939963369","tier":null,"role":"editor"},{"type":"team","id":"324e05bca736b362","login":"jack-wallace-ws","name":"Jack Wallace's Workspace","avatar_url":"https://avatars-next.observableusercontent.com/c233ab1750f27330e8c93f4c7fe15fabbb34003d521a8f8f186042cc68dde824","tier":"starter_2024","role":"editor"}],"comments":[],"custom_thumbnail":false,"trashed":false,"lapsed":null,"subscribed":null,"forks":0,"collection":null,"type":"notebook","body":{"titling":"auto","title":"Overlapping Data","cells":[{"id":0,"value":"# Overlapping Data","pinned":false,"hidden":false,"mode":"md","author":"$undefined","summary":"$undefined","tool":"$undefined","providerMetadata":"$undefined","attachments":"$undefined","output":"","database":"$undefined"},{"id":144,"value":"viewof threshold = Inputs.range([0,10],{step:.1})","pinned":false,"hidden":false,"mode":"ojs","author":"$undefined","summary":"$undefined","tool":"$undefined","providerMetadata":"$undefined","attachments":"$undefined","output":"$undefined","database":"$undefined"},{"id":168,"value":"html`\n\n \n \n \n \n\n \n \n \n\n \n \n \n\n

	Predicted Negative	Predicted Postive
Actual Positive	${falseNegatives}	${truePositives}
Actual Negative	${trueNegatives}	${falsePositives}

\n\n`","pinned":false,"hidden":false,"mode":"ojs","author":"$undefined","summary":"$undefined","tool":"$undefined","providerMetadata":"$undefined","attachments":"$undefined","output":"$undefined","database":"$undefined"},{"id":5,"value":"Plot.plot({\n x:{domain:[0,10]},\n y:{domain:[0,1]},\n marks:[\n Plot.ruleX([0]),\n Plot.ruleY([0]),\n Plot.dot(Xblue,{x:Xblue,y:Yblue,fill:\"blue\",r:5}),\n Plot.dot(Xred,{x:Xred,y:Yred,fill:\"red\",r:5}),\n Plot.line([[threshold,0],[threshold,1]],{strokeDasharray:\"5,5\"}),\n Plot.line(x,{x:x,y:y,stroke:'red'}),\n Plot.line([[0,.5],[10,.5]],{strokeDasharray:\"5,5\"}),\n Plot.dot(X,{x:X, y:yhat, fill:'green', r:5})\n ]\n})","pinned":true,"hidden":false,"mode":"ojs","author":"$undefined","summary":"$undefined","tool":"$undefined","providerMetadata":"$undefined","attachments":"$undefined","output":"$undefined","database":"$undefined"},{"id":188,"value":"### Sigmoid","pinned":false,"hidden":false,"mode":"md","author":"$undefined","summary":"$undefined","tool":"$undefined","providerMetadata":"$undefined","attachments":"$undefined","output":"","database":"$undefined"},{"id":192,"value":"f = (x,a,b) => Math.exp(a*x + b)/(1+Math.exp(a*x + b))","pinned":true,"hidden":false,"mode":"ojs","author":"$undefined","summary":"$undefined","tool":"$undefined","providerMetadata":"$undefined","attachments":"$undefined","output":"$undefined","database":"$undefined"},{"id":190,"value":"x = {\n const x = []\n for(let i = 0; i <= 10; i = i + .1){\n x.push(i)\n }\n return x\n}","pinned":true,"hidden":false,"mode":"ojs","author":"$undefined","summary":"$undefined","tool":"$undefined","providerMetadata":"$undefined","attachments":"$undefined","output":"$undefined","database":"$undefined"},{"id":194,"value":"y = x.map(x => f(x,0.79000056,-4.18321431))","pinned":true,"hidden":false,"mode":"ojs","author":"$undefined","summary":"$undefined","tool":"$undefined","providerMetadata":"$undefined","attachments":"$undefined","output":"$undefined","database":"$undefined"},{"id":205,"value":"# Loss","pinned":false,"hidden":false,"mode":"md","author":"$undefined","summary":"$undefined","tool":"$undefined","providerMetadata":"$undefined","attachments":"$undefined","output":"","database":"$undefined"},{"id":212,"value":"yhat = X.map(X => f(X,0.79000056,-4.18321431))","pinned":true,"hidden":false,"mode":"ojs","author":"$undefined","summary":"$undefined","tool":"$undefined","providerMetadata":"$undefined","attachments":"$undefined","output":"$undefined","database":"$undefined"},{"id":221,"value":"penalties = X.map((X,i) =>\n -Y[i]*Math.log(yhat[i])\n -\n (1-Y[i])*Math.log(1 - yhat[i])\n )","pinned":true,"hidden":false,"mode":"ojs","author":"$undefined","summary":"$undefined","tool":"$undefined","providerMetadata":"$undefined","attachments":"$undefined","output":"$undefined","database":"$undefined"},{"id":229,"value":"loss = d3.mean(penalties)","pinned":true,"hidden":false,"mode":"ojs","author":"$undefined","summary":"$undefined","tool":"$undefined","providerMetadata":"$undefined","attachments":"$undefined","output":"$undefined","database":"$undefined"},{"id":149,"value":"### Positives and Negatives","pinned":false,"hidden":false,"mode":"md","author":"$undefined","summary":"$undefined","tool":"$undefined","providerMetadata":"$undefined","attachments":"$undefined","output":"","database":"$undefined"},{"id":153,"value":"trueNegatives = Xblue.filter(x => x <= threshold).length","pinned":false,"hidden":false,"mode":"ojs","author":"$undefined","summary":"$undefined","tool":"$undefined","providerMetadata":"$undefined","attachments":"$undefined","output":"$undefined","database":"$undefined"},{"id":157,"value":"falseNegatives = Xred.filter(x => x <= threshold).length","pinned":false,"hidden":false,"mode":"ojs","author":"$undefined","summary":"$undefined","tool":"$undefined","providerMetadata":"$undefined","attachments":"$undefined","output":"$undefined","database":"$undefined"},{"id":159,"value":"truePositives = Xred.filter(x => x > threshold).length","pinned":false,"hidden":false,"mode":"ojs","author":"$undefined","summary":"$undefined","tool":"$undefined","providerMetadata":"$undefined","attachments":"$undefined","output":"$undefined","database":"$undefined"},{"id":161,"value":"falsePositives = Xblue.filter(x => x > threshold).length","pinned":false,"hidden":false,"mode":"ojs","author":"$undefined","summary":"$undefined","tool":"$undefined","providerMetadata":"$undefined","attachments":"$undefined","output":"$undefined","database":"$undefined"},{"id":136,"value":"### Data","pinned":false,"hidden":false,"mode":"md","author":"$undefined","summary":"$undefined","tool":"$undefined","providerMetadata":"$undefined","attachments":"$undefined","output":"","database":"$undefined"},{"id":124,"value":"Xblue = [0.23172273283556077, 6.261636528327473, 4.6010247891667335, 1.660132912093145, 1.2024450601909025, 4.746559515821619, 4.9280744954032425, 5.250737883974269, 1.7705201542833398, 5.349311712251664]","pinned":false,"hidden":false,"mode":"ojs","author":"$undefined","summary":"$undefined","tool":"$undefined","providerMetadata":"$undefined","attachments":"$undefined","output":"$undefined","database":"$undefined"},{"id":126,"value":"Xred = [4.557295223920891, 6.8297789235508315, 4.413710405238934, 7.690735156159806, 7.343854883275675, 8.804357813742223, 9.431131316191179, 4.968596810930029, 9.914854428874769, 5.195561411674539]","pinned":false,"hidden":false,"mode":"ojs","author":"$undefined","summary":"$undefined","tool":"$undefined","providerMetadata":"$undefined","attachments":"$undefined","output":"$undefined","database":"$undefined"},{"id":128,"value":"Yblue = [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]","pinned":false,"hidden":false,"mode":"ojs","author":"$undefined","summary":"$undefined","tool":"$undefined","providerMetadata":"$undefined","attachments":"$undefined","output":"$undefined","database":"$undefined"},{"id":130,"value":"Yred = [1, 1, 1, 1, 1, 1, 1, 1, 1, 1]","pinned":false,"hidden":false,"mode":"ojs","author":"$undefined","summary":"$undefined","tool":"$undefined","providerMetadata":"$undefined","attachments":"$undefined","output":"$undefined","database":"$undefined"},{"id":208,"value":"X = [0.23172273, 6.26163653, 4.60102479, 1.66013291, 1.20244506,\n 4.74655952, 4.9280745 , 5.25073788, 1.77052015, 5.34931171,\n 4.55729522, 6.82977892, 4.41371041, 7.69073516, 7.34385488,\n 8.80435781, 9.43113132, 4.96859681, 9.91485443, 5.19556141]","pinned":true,"hidden":false,"mode":"ojs","author":"$undefined","summary":"$undefined","tool":"$undefined","providerMetadata":"$undefined","attachments":"$undefined","output":"$undefined","database":"$undefined"},{"id":210,"value":"Y = [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1]","pinned":true,"hidden":false,"mode":"ojs","author":"$undefined","summary":"$undefined","tool":"$undefined","providerMetadata":"$undefined","attachments":"$undefined","output":"$undefined","database":"$undefined"}],"files":"$W47","stdlib":"1"}} 46:"$45:body"