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Directed and Undirected Graphical Models
https://mlg.eng.cam.ac.uk/adrian/2018-MLSALT4-AW1-models.pdf19 Jun 2024: Z. (b). X. Y. Z. 12 / 26. D-separation (“directed separation”) in Bayesian networks. ... over A,B,C :. p(D) =a,b,c. p(A = a,B = b,C = c,D). 28 / 26. -
Understanding the Bethe Approximation: When and How can it ...
https://mlg.eng.cam.ac.uk/adrian/abc.pdf19 Jun 2024: ergy. ES. B. (a) W = 1. 0 0.5 10.8. 0.6. ... B. (b) W = 1.38. 0 0.5 10.4. 0.3. 0.2. 0.1. -
Junction Tree, BP and Variational Methods
https://mlg.eng.cam.ac.uk/adrian/2018-MLSALT4-AW3-approx.pdf19 Jun 2024: over A,B,C :. p(D) =. a,b,c. p(A = a,B = b,C = c,D). 8 / 32. ... c. b. a. p(D | c)p(c | b)p(b | a)p(a). -
A Unified Approach to Quantifying Algorithmic Unfairness: Measuring…
https://mlg.eng.cam.ac.uk/adrian/KDD2018_inequality_indices.pdf19 Jun 2024: More precisely,let b′ = ⟨b, ,b⟩ Rnk0 be a k-replication of b. ... That is, forany b R0, I(b,b, ,b) = 0. In addition to the above four principles satisfied by many in-equality indices, we also focus on the following property whichis -
Unifying Orthogonal Monte Carlo Methods
https://mlg.eng.cam.ac.uk/adrian/ICML2019-unified.pdf19 Jun 2024: Let B be a set satisfying diam(B) B for someuniversal constant B that does not depend on d (B mightbe for instance a unit sphere). ... Gretton, A., Borgwardt, K. M., Rasch, M. J., Schölkopf, B.,and Smola, A. -
Conditions Beyond Treewidth for Tightness of Higher-order LP…
https://mlg.eng.cam.ac.uk/adrian/conditions.pdf19 Jun 2024: Let P ={x Rm|Ax b} be a polytope for some A =[a1,. ... ak]. > Rkm, b Rk (for some k N). Thenfor v Ext(P), we have. -
Adversarial Graph Embeddings for Fair Influence Maximization over…
https://mlg.eng.cam.ac.uk/adrian/IJCAI20_AdversarialGraphEmbeddings.pdf19 Jun 2024: distributions of nodes from A and B in the embedding space(to have |UA||A|. ... Group AGroup BGroup AGroup B. (b) The fractions of influencednodes in the two groups. -
Blind Justice: Fairness with Encrypted Sensitive Attributes
https://mlg.eng.cam.ac.uk/adrian/ICML18-BlindJustice.pdf19 Jun 2024: Wethen multiply the sum by b/n > 2m. As long as b, b/n(and thus also n/b) can be represented with sufficient preci-sion, which is the case in ... Details about parameters and thealgorithm can be found in Section B in the appendix. -
Tightness of LP Relaxations for Almost Balanced Models Adrian ...
https://mlg.eng.cam.ac.uk/adrian/tricam.pdf19 Jun 2024: Partition thevariable indices into two subsets, A [n] = {1,. ,n}and B = [n] A. ... Proof B. We provide an alternative derivation which essen-tially incorporates the flipping into the proof. -
Bethe and Related Pairwise Entropy Approximations Adrian…
https://mlg.eng.cam.ac.uk/adrian/Weller_UAI15_BetheAndRelated.pdf19 Jun 2024: D. Schlesinger and B. Flach. Transforming an arbitrary minsumproblem into a binary one. ... a,b B = {0,1}.Note that a third ‘dimension’ restricted to the value 1 has been added for notational convenience. -
Methods for Inference in Graphical Models
https://mlg.eng.cam.ac.uk/adrian/phd_FINAL.pdf19 Jun 2024: 142. B.2.3 Some frustrated K4 structures (treewidth 3). 145. B.3 Discussion. ... i,j) E and a,b B, which we term the edge or pairwise potentials.
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