40:null 41:["$","title",null,{"children":"Overlapping Data | Dlugosdj's Workspace | Observable"}] 47:[] 45:{"id":"ec0cbade1adb7db1","slug":null,"title":"Overlapping Data","thumbnail":"6d152929fa4398baff08de68f19ee5fbafa6f094aabb45a285e2e8d2de6c8922","access_level":"public","create_time":"$D2023-10-03T12:57:47.786Z","update_time":"$D2023-12-09T23:51:13.466Z","view_time":null,"first_public_time":"$D2023-10-03T12:57:47.786Z","has_unpublished_edits":null,"fork":{"id":"ca9963845d075414","slug":null,"title":"","owner":{"id":"1bcabaa90118007f","login":"dlugosdj-ws","name":"Dlugosdj's Workspace"}},"stars":0,"starred":false,"owner":{"type":"team","id":"1bcabaa90118007f","login":"dlugosdj-ws","name":"Dlugosdj's Workspace","avatar_url":"https://avatars-next.observableusercontent.com/397dd47036e82ac0cfe8a4efce952d4250f3971d72bd54c2972383eaac870cff","tier":"starter_2024","bio":"","following":false},"version":131,"publish_version":null,"role":null,"authored":false,"authors":[{"type":"individual","id":"d5b95d2d693c2f56","login":"dlugosdj","name":"Dlugosdj","avatar_url":"https://avatars-next.observableusercontent.com/ec6b14d49a67868850f24e902f2f6eae8139ac36cd609f4053c463cd74eecb14","tier":null,"bio":"","following":false}],"members":[{"type":"individual","id":"d5b95d2d693c2f56","login":"dlugosdj","name":"Dlugosdj","avatar_url":"https://avatars-next.observableusercontent.com/ec6b14d49a67868850f24e902f2f6eae8139ac36cd609f4053c463cd74eecb14","tier":null,"role":"editor"},{"type":"team","id":"1bcabaa90118007f","login":"dlugosdj-ws","name":"Dlugosdj's Workspace","avatar_url":"https://avatars-next.observableusercontent.com/397dd47036e82ac0cfe8a4efce952d4250f3971d72bd54c2972383eaac870cff","tier":"starter_2024","role":"editor"}],"comments":[],"custom_thumbnail":false,"trashed":false,"lapsed":null,"subscribed":null,"forks":1,"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":27,"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":65,"value":"html`\n\n\n \n \n \n\n \n \n \n\n \n \n \n\n

	Predicted Negative	Predicted Positive
Actual Positive	${false_Negatives}	${true_Positives}
Actual Negative	${true_Negatives}	${false_Positives}

\n`","pinned":false,"hidden":false,"mode":"ojs","author":"$undefined","summary":"$undefined","tool":"$undefined","providerMetadata":"$undefined","attachments":"$undefined","output":"$undefined","database":"$undefined"},{"id":3,"value":"Plot.plot({\n x:{domain:[0,10]},\n y:{domain:[0,1]},\n marks:[\n Plot.ruleX([0]),\n Plot.ruleY([0]),\n Plot.dot(Xblue,{x:Xblue,y:Yblue,r:4,fill:\"Blue\"}),\n Plot.dot(Xred,{x:Xred,y:Yred,r:4,fill:\"Red\"}),\n Plot.line([[threshold,0],[threshold,1]],{strokeDasharray:\"5,5\"}),\n Plot.line([[0,.5],[10,.5]],{strokeDasharray:\"5,5\"}),\n Plot.line(x,{x:x,y:y,strokeWidth:2,stroke:\"Red\"}),\n Plot.dot(X,{x:X,y:Yhat,r:4,fill:\"Green\"})\n ]\n})","pinned":false,"hidden":false,"mode":"ojs","author":"$undefined","summary":"$undefined","tool":"$undefined","providerMetadata":"$undefined","attachments":"$undefined","output":"$undefined","database":"$undefined"},{"id":80,"value":"### Sigmoid","pinned":false,"hidden":false,"mode":"md","author":"$undefined","summary":"$undefined","tool":"$undefined","providerMetadata":"$undefined","attachments":"$undefined","output":"","database":"$undefined"},{"id":87,"value":"f = (x,a,b) => Math.exp(a * x + b) / (1 + Math.exp(a * x + b))","pinned":false,"hidden":false,"mode":"ojs","author":"$undefined","summary":"$undefined","tool":"$undefined","providerMetadata":"$undefined","attachments":"$undefined","output":"$undefined","database":"$undefined"},{"id":81,"value":"x = {\n const x = []\n for(let i = 0; i <=10; i = i + .1){\n x.push(i)\n }\n return x\n}","pinned":false,"hidden":false,"mode":"ojs","author":"$undefined","summary":"$undefined","tool":"$undefined","providerMetadata":"$undefined","attachments":"$undefined","output":"$undefined","database":"$undefined"},{"id":85,"value":"y = x.map(x => f(x,0.79000056,-4.18321431))","pinned":false,"hidden":false,"mode":"ojs","author":"$undefined","summary":"$undefined","tool":"$undefined","providerMetadata":"$undefined","attachments":"$undefined","output":"$undefined","database":"$undefined"},{"id":96,"value":"### The Loss [-y ln(Yhat) - (1-y) ln(1-Yhat)]","pinned":false,"hidden":false,"mode":"md","author":"$undefined","summary":"$undefined","tool":"$undefined","providerMetadata":"$undefined","attachments":"$undefined","output":"","database":"$undefined"},{"id":107,"value":"Yhat = X.map(X => f(X,0.79000056,-4.18321431))","pinned":false,"hidden":false,"mode":"ojs","author":"$undefined","summary":"$undefined","tool":"$undefined","providerMetadata":"$undefined","attachments":"$undefined","output":"$undefined","database":"$undefined"},{"id":120,"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":false,"hidden":false,"mode":"ojs","author":"$undefined","summary":"$undefined","tool":"$undefined","providerMetadata":"$undefined","attachments":"$undefined","output":"$undefined","database":"$undefined"},{"id":124,"value":"d3.mean(penalties)","pinned":false,"hidden":false,"mode":"ojs","author":"$undefined","summary":"$undefined","tool":"$undefined","providerMetadata":"$undefined","attachments":"$undefined","output":"$undefined","database":"$undefined"},{"id":34,"value":"### Positives and Negatives","pinned":false,"hidden":false,"mode":"md","author":"$undefined","summary":"$undefined","tool":"$undefined","providerMetadata":"$undefined","attachments":"$undefined","output":"","database":"$undefined"},{"id":35,"value":"true_Negatives = 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":"$undefined"},{"id":40,"value":"false_Negatives = Xred.filter(x => x <= threshold).length","pinned":false,"hidden":false,"mode":"ojs","author":"$undefined","summary":"$undefined","tool":"$undefined","providerMetadata":"$undefined","attachments":"$undefined","output":"$undefined","database":"$undefined"},{"id":51,"value":"true_Positives = 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":"$undefined"},{"id":58,"value":"false_Positives = Xblue.filter(x => x > threshold).length","pinned":false,"hidden":false,"mode":"ojs","author":"$undefined","summary":"$undefined","tool":"$undefined","providerMetadata":"$undefined","attachments":"$undefined","output":"$undefined","database":"$undefined"},{"id":23,"value":"### Data","pinned":false,"hidden":false,"mode":"md","author":"$undefined","summary":"$undefined","tool":"$undefined","providerMetadata":"$undefined","attachments":"$undefined","output":"","database":"$undefined"},{"id":9,"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":"$undefined"},{"id":13,"value":"Xred = [4.557295223920891, 6.8297789235508315, 4.413710405238934, 7.690735156159806, 7.343854883275675, 8.804357813742223, 9.431131316191179, 4.968596810930029, 9.914854428874769, 5.195561411674539]","pinned":false,"hidden":false,"mode":"ojs","author":"$undefined","summary":"$undefined","tool":"$undefined","providerMetadata":"$undefined","attachments":"$undefined","output":"$undefined","database":"$undefined"},{"id":16,"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":"$undefined"},{"id":19,"value":"Yred = [1, 1, 1, 1, 1, 1, 1, 1, 1, 1]","pinned":false,"hidden":false,"mode":"ojs","author":"$undefined","summary":"$undefined","tool":"$undefined","providerMetadata":"$undefined","attachments":"$undefined","output":"$undefined","database":"$undefined"},{"id":100,"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":false,"hidden":false,"mode":"ojs","author":"$undefined","summary":"$undefined","tool":"$undefined","providerMetadata":"$undefined","attachments":"$undefined","output":"$undefined","database":"$undefined"},{"id":104,"value":"Y = [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1]","pinned":false,"hidden":false,"mode":"ojs","author":"$undefined","summary":"$undefined","tool":"$undefined","providerMetadata":"$undefined","attachments":"$undefined","output":"$undefined","database":"$undefined"}],"files":"$W47","stdlib":"1"}} 46:"$45:body"