{ localUrl: '../page/8xc.html', arbitalUrl: 'https://arbital.com/p/8xc', rawJsonUrl: '../raw/8xc.json', likeableId: '0', likeableType: 'page', myLikeValue: '0', likeCount: '0', dislikeCount: '0', likeScore: '0', individualLikes: [], pageId: '8xc', edit: '1', editSummary: '', prevEdit: '0', currentEdit: '1', wasPublished: 'true', type: 'comment', title: '"No, this kind of factorization is used for *any..."', clickbait: '', textLength: '303', alias: '8xc', externalUrl: '', sortChildrenBy: 'recentFirst', hasVote: 'false', voteType: '', votesAnonymous: 'false', editCreatorId: 'KevinVanHorn', editCreatedAt: '2017-12-28 00:05:53', pageCreatorId: 'KevinVanHorn', pageCreatedAt: '2017-12-28 00:05:53', seeDomainId: '0', editDomainId: '2916', submitToDomainId: '0', isAutosave: 'false', isSnapshot: 'false', isLiveEdit: 'true', isMinorEdit: 'false', indirectTeacher: 'false', todoCount: '0', isEditorComment: 'false', isApprovedComment: 'false', isResolved: 'false', snapshotText: '', anchorContext: 'A causal model goes beyond the graph by including specific probability functions $\\mathbb P(X_i | \\mathbf{pa}_i)$ for how to calculate the probability of each node $X_i$ taking on the value $x_i$ given the values $\\mathbf {pa}_i$ of $x_i$'s immediate ancestors\\. It is implicitly assumed that the causal model factorizes, so that the probability of any value assignment $\\mathbf x$ to the whole graph can be calculated using the product:', anchorText: 'A causal model goes beyond the graph by including specific probability functions $\\mathbb P(X_i | \\mathbf{pa}_i)$ for how to calculate the probability of each node $X_i$ taking on the value $x_i$ given the values $\\mathbf {pa}_i$ of $x_i$', anchorOffset: '0', mergedInto: '', isDeleted: 'false', viewCount: '436', text: 'No, this kind of factorization is used for *any* probabilistic graphical model (PGM), whether or not it is causal. The difference is that for a causal model an arc from node x to node y *additionally* indicates that x has a causal influence on y, whereas there is no such assumption in general for PGMs.', metaText: '', isTextLoaded: 'true', isSubscribedToDiscussion: 'false', isSubscribedToUser: 'false', isSubscribedAsMaintainer: 'false', discussionSubscriberCount: '1', maintainerCount: '1', userSubscriberCount: '0', lastVisit: '', hasDraft: 'false', votes: [], voteSummary: 'null', muVoteSummary: '0', voteScaling: '0', currentUserVote: '-2', voteCount: '0', lockedVoteType: '', maxEditEver: '0', redLinkCount: '0', lockedBy: '', lockedUntil: '', nextPageId: '', prevPageId: '', usedAsMastery: 'false', proposalEditNum: '0', permissions: { edit: { has: 'false', reason: 'You don't have domain permission to edit this page' }, proposeEdit: { has: 'true', reason: '' }, delete: { has: 'false', reason: 'You don't have domain permission to delete this page' }, comment: { has: 'false', reason: 'You can't comment in this domain because you are not a member' }, proposeComment: { has: 'true', reason: '' } }, summaries: {}, creatorIds: [ 'KevinVanHorn' ], childIds: [], parentIds: [ 'ldt_intro_compsci' ], commentIds: [], questionIds: [], tagIds: [], relatedIds: [], markIds: [], explanations: [], learnMore: [], requirements: [], subjects: [], lenses: [], lensParentId: '', pathPages: [], learnMoreTaughtMap: {}, learnMoreCoveredMap: {}, learnMoreRequiredMap: {}, editHistory: {}, domainSubmissions: {}, answers: [], answerCount: '0', commentCount: '0', newCommentCount: '0', linkedMarkCount: '0', changeLogs: [ { likeableId: '0', likeableType: 'changeLog', myLikeValue: '0', likeCount: '0', dislikeCount: '0', likeScore: '0', individualLikes: [], id: '22955', pageId: '8xc', userId: 'KevinVanHorn', edit: '1', type: 'newEdit', createdAt: '2017-12-28 00:05:53', auxPageId: '', oldSettingsValue: '', newSettingsValue: '' }, { likeableId: '0', likeableType: 'changeLog', myLikeValue: '0', likeCount: '0', dislikeCount: '0', likeScore: '0', individualLikes: [], id: '22956', pageId: '8xc', userId: 'KevinVanHorn', edit: '1', type: 'newEdit', createdAt: '2017-12-28 00:05:53', auxPageId: '', oldSettingsValue: '', newSettingsValue: '' } ], feedSubmissions: [], searchStrings: {}, hasChildren: 'false', hasParents: 'true', redAliases: {}, improvementTagIds: [], nonMetaTagIds: [], todos: [], slowDownMap: 'null', speedUpMap: 'null', arcPageIds: 'null', contentRequests: {} }