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  2. Approximating the Bethe Partition Function

    https://mlg.eng.cam.ac.uk/adrian/pnb.pdf
    19 Jun 2024: restrictions; curvMeshNew is our refinement; gradMesh is our new first derivative method.
  3. Clamping Variables and Approximate Inference

    https://mlg.eng.cam.ac.uk/adrian/pclamp.pdf
    19 Jun 2024: ZBi(x) is ‘Bethe partition function constrained to singleton qi = x’•Define new function,.
  4. 19 Jun 2024: global. consistency) called the local polytope (pairwise consistency). •We examine each aspect, improve understanding of the effect of each: analyticand experimental results using new methods.
  5. Clamping Improves TRW and Mean Field Approximations

    https://mlg.eng.cam.ac.uk/adrian/pclamp-aistats.pdf
    19 Jun 2024: We introduce new ways to select variables to clamp, including:stripping to the core, identifying highly frustrated cycles, andchecking singleton entropies. ... perform poorly to select variables to clamp but our new methods perform well.
  6. Uprooting and Rerooting Graphical Models

    https://mlg.eng.cam.ac.uk/adrian/slides_uproot.pdf
    19 Jun 2024: Uprooting and Rerooting Graphical Models. Adrian WellerUniversity of Cambridge. ICML, New York, NYJune 21, 2016. ... 5 / 19. Idea: Uprooting (not new). Add a new variable X0.
  7. preferential_fairness_nips_2017.pages

    https://mlg.eng.cam.ac.uk/adrian/preferential_fairness_nips_2017.pdf
    19 Jun 2024: 4. New notions of fairness. M (100). W (100)M (200) W (200).
  8. - 4F13: Machine Learning

    https://mlg.eng.cam.ac.uk/teaching/4f13/1112/lect10.pdf
    19 Nov 2023: Variants of the Metropolis algorithm. Instead of proposing a new state by changing simultaneously all components ofthe state, you can concatenate different proposals changing one component at atime. ... Note, that the average is done in the log space. A
  9. Leader Stochastic Gradient Descent (LSGD) for Distributed Training of …

    https://mlg.eng.cam.ac.uk/adrian/LSGD_Poster_NeurIPS2019.pdf
    19 Jun 2024: Improvements in Step Direction. When the landscape is locally convex, we expect that the new leader term will bring the step direction closer to the global minimizer.
  10. Clamping Variables and Approximate Inference

    https://mlg.eng.cam.ac.uk/adrian/newsclamp.pdf
    19 Jun 2024: Then argue as above to yield simple new proof of ZB ZClamping any variable and summing can only improve ZB. ... Note: ZBi (0) = ZB|Xi =0, ZBi (x) = ZB, ZBi (1) = ZB|Xi =1Define new function,.
  11. Engineering Tripos Part IB SECOND YEAR PART IB Paper ...

    https://mlg.eng.cam.ac.uk/teaching/1BP7/1819/IBP7ex75.pdf
    19 Nov 2023: b) To improve safety, new more stringent regulations require that pilots pass all five tests. ... What should the new individualfailure rate be if the overall certification probability should remain unchanged?
  12. 3F3: Signal and Pattern Processing Lecture 4: Clustering Zoubin ...

    https://mlg.eng.cam.ac.uk/teaching/3f3/1011/lect4.pdf
    19 Nov 2023: Examples:. • cluster news stories into topics. • cluster genes by similar function. •
  13. Revisiting the Limits of MAP Inference by MWSS on Perfect Graphs

    https://mlg.eng.cam.ac.uk/adrian/slides-revisit.pdf
    19 Jun 2024: ︸ ︷︷ ︸. new unary potentialsψ′i (xi ) ψ. ′j (xj ). (d dd d. )︸ ︷︷ ︸. constant. • This can be very powerful, allows us after pruning to end up withjust ... Though this may introduce new NMRF nodes for the unary terms.• To show
  14. Tightness of LP Relaxations for Almost Balanced Models

    https://mlg.eng.cam.ac.uk/adrian/CP_AlmostBalanced.pdf
    19 Jun 2024: Exponential search space, NP-hard in general. One contribution: prove that this problem is tractablefor a new class of models.
  15. 3F3: Signal and Pattern Processing Lecture 3: Classification Zoubin…

    https://mlg.eng.cam.ac.uk/teaching/3f3/1011/lect3.pdf
    19 Nov 2023: D = {(x(1),y(1)). ,(x(N),y(N))}. where y(n) {1,. ,C} and C is the number of classes.The goal is to classify new inputs correctly (i.e. ... For example:. (x1,x2) (x1,x2,x1x2,x21,x22). Then do logistic classification using these new inputs.
  16. Gibbs Sampling

    https://mlg.eng.cam.ac.uk/teaching/4f13/2324/gibbs%20sampling.pdf
    19 Nov 2023: x x′ x′′ x′′′. One such algorithm is called Gibbs sampling: for each component i of x in turn,sample a new value from the conditional distribution of xi given all
  17. Gibbs Sampling

    https://mlg.eng.cam.ac.uk/teaching/4f13/2122/gibbs%20sampling.pdf
    19 Nov 2023: x x′ x′′ x′′′. One such algorithm is called Gibbs sampling: for each component i of x in turn,sample a new value from the conditional distribution of xi given all
  18. Orthogonal estimation of Wasserstein distances Mark Rowland*, Jiri…

    https://mlg.eng.cam.ac.uk/adrian/slicedwasserstein_poster.pdf
    19 Jun 2024: Exploration of a new Wasserstein-like metric,projected Wasserstein distance. Projected Wasserstein distance.
  19. Modelling data

    https://mlg.eng.cam.ac.uk/teaching/4f13/2122/modelling%20data.pdf
    19 Nov 2023: generalize from observations in the training set to new test cases(interpolation and extrapolation). •
  20. 2018 Formatting Instructions for Authors Using LaTeX

    https://mlg.eng.cam.ac.uk/adrian/AIES18-crowd_signals.pdf
    19 Jun 2024: political biases varying from liberal to neutral to con-servative: Slate, Salon, New York Times, CNN, AP, Reuters,Politico, Fox News, Drudge Report, and Breitbart News;giving us a total of ... ACM.Lichterman, J. 2010. New Pew data: More Amer-icans are
  21. - 4F13: Machine Learning

    https://mlg.eng.cam.ac.uk/teaching/4f13/1213/lect12.pdf
    19 Nov 2023: We have introduced a new set of hidden variables zd. • How do we fit those variables?
  22. Document models

    https://mlg.eng.cam.ac.uk/teaching/4f13/2122/document%20models.pdf
    19 Nov 2023: categories. We have introduced a new set of hidden variables zd.• How do we fit those variables?
  23. - Machine Learning 4F13, Spring 2014

    https://mlg.eng.cam.ac.uk/teaching/4f13/1314/lect1314.pdf
    19 Nov 2023: Note, that the average is done in the log space. A perplexity of g corresponds to the uncertainty associated with a die with gsides, which generates each new word.
  24. Latent Dirichlet Allocation for Topic Modeling

    https://mlg.eng.cam.ac.uk/teaching/4f13/2122/lda.pdf
    19 Nov 2023: Note, that the average is done in the log space.A perplexity of g corresponds to the uncertainty associated with a die with gsides, which generates each new word.
  25. - Machine Learning 4F13, Michaelmas 2015

    https://mlg.eng.cam.ac.uk/teaching/4f13/1516/lect1314.pdf
    19 Nov 2023: Note, that the average is done in the log space. A perplexity of g corresponds to the uncertainty associated with a die with gsides, which generates each new word.
  26. Exploring Properties of the Deep Image Prior Andreas…

    https://mlg.eng.cam.ac.uk/adrian/NeurIPS_2019_DIP7.pdf
    19 Jun 2024: This was further observed fromlooking at appropriate saliency maps, where we introduced a new method.
  27. - Machine Learning 4F13, Spring 2015

    https://mlg.eng.cam.ac.uk/teaching/4f13/1415/lect12.pdf
    19 Nov 2023: categories. We have introduced a new set of hidden variables zd. •
  28. 4F13 Machine Learning: Coursework #2: Gibbs Sampling Zoubin…

    https://mlg.eng.cam.ac.uk/teaching/4f13/0910/cw/coursework2.pdf
    19 Nov 2023: Each D-dimensional data pointy(n) is generated using a new hidden vector, s(n).
  29. Bounding the Integrality Distance ofLP Relaxations for Structured…

    https://mlg.eng.cam.ac.uk/adrian/OPT2016_paper_3.pdf
    19 Jun 2024: 7 Discussion. We have introduced a new measure of approximation quality for LP-relaxed inference, which wecall the integrality distance. ... Approximation algorithms for the metric labeling. problem via a new linear programming formulation.
  30. ML-IRL: Machine Learning in Real Life Workshop at ICLR ...

    https://mlg.eng.cam.ac.uk/adrian/ML_IRL_2020-Counterfactual_Accuracy.pdf
    19 Jun 2024: The idea that multiple classifiers can fit a training dataset well, leading to different stories about therelationship between the input features and output response, is not new (Breiman, 2001), but hasreceived ... We can highlight the set of training
  31. What Keeps a Bayesian Awake At Night? Part 2: Night Time · Cambridge…

    https://mlg.eng.cam.ac.uk/blog/2021/03/31/what-keeps-a-bayesian-awake-at-night-part-2.html
    12 Apr 2024: This is because the standard Dutch book setup is static: it does not involve a step where beliefs are updated on the basis of new information. ... For example, in online or continual learning the goal is to incorporate new observations sequentially
  32. ML-IRL: Machine Learning in Real Life Workshop at ICLR ...

    https://mlg.eng.cam.ac.uk/adrian/ML_IRL_2020-CLUE.pdf
    19 Jun 2024: 4.2 QUALITATIVE UTILITY OF CLUE: USER STUDY. We conduct a human subject experiment to assess how well CLUEs help users identify whethera model will be uncertain on new datapoints.
  33. Linear in the parameters regression

    https://mlg.eng.cam.ac.uk/teaching/4f13/2122/linear%20in%20the%20parameters%20regression.pdf
    19 Nov 2023: 4. 3. 2. 1. 0. 1. 2. 3. xi. yi. • In order to predict at a new x we need to postulate a model of the data.We will estimate y
  34. Gibbs Sampling

    https://mlg.eng.cam.ac.uk/teaching/4f13/1819/gibbs%20sampling.pdf
    19 Nov 2023: x x′ x′′ x′′′. One such algorithm is called Gibbs sampling: for each component i of x in turn,sample a new value from the conditional distribution of xi given all
  35. Modelling data

    https://mlg.eng.cam.ac.uk/teaching/4f13/1819/modelling%20data.pdf
    19 Nov 2023: generalize from observations in the training set to new test cases(interpolation and extrapolation). •
  36. - 4F13: Machine Learning

    https://mlg.eng.cam.ac.uk/teaching/4f13/1112/lect08.pdf
    19 Nov 2023: We have introduced a new set of hidden variables zd. • How do we fit those variables?
  37. Clamping Variables and Approximate Inference

    https://mlg.eng.cam.ac.uk/adrian/slides_msr2.pdf
    19 Jun 2024: 17 / 21. New work: what does clamping do for MF and TRW? ... Note: ZBi (0) = ZB|Xi =0, ZBi (x) = ZB, ZBi (1) = ZB|Xi =1Define new function,.
  38. Document models

    https://mlg.eng.cam.ac.uk/teaching/4f13/2324/document%20models.pdf
    19 Nov 2023: categories. We have introduced a new set of hidden variables zd.• How do we fit those variables?
  39. - IB Paper 7: Probability and Statistics

    https://mlg.eng.cam.ac.uk/teaching/1BP7/1819/lect04.pdf
    19 Nov 2023: 0.2. 0.4. 0.6. 0.8. 1. p(y). We want the probability of an event in the old variables x to be equal to theprobability in the new ... The Jacobian for Non-linear Transformations. For a linear transformation the Jacobian is just a constant, which makes
  40. Background material crib-sheet Iain Murray , October 2003 Here ...

    https://mlg.eng.cam.ac.uk/teaching/4f13/cribsheet.pdf
    19 Nov 2023: The gradient Differentiationof this line, the derivative, is not constant, but a new function:.
  41. Document models

    https://mlg.eng.cam.ac.uk/teaching/4f13/1819/document%20models.pdf
    19 Nov 2023: categories. We have introduced a new set of hidden variables zd.• How do we fit those variables?
  42. Latent Dirichlet Allocation for Topic Modeling

    https://mlg.eng.cam.ac.uk/teaching/4f13/1819/lda.pdf
    19 Nov 2023: Note, that the average is done in the log space.A perplexity of g corresponds to the uncertainty associated with a die with gsides, which generates each new word.
  43. - Machine Learning 4F13, Michaelmas 2015

    https://mlg.eng.cam.ac.uk/teaching/4f13/1516/lect0607.pdf
    19 Nov 2023: x x′ x′′ x′′′. One such algorithm is called Gibbs sampling: for each component i of x in turn,sample a new value from the conditional distribution of xi given all
  44. - Machine Learning 4F13, Spring 2014

    https://mlg.eng.cam.ac.uk/teaching/4f13/1314/lect0607.pdf
    19 Nov 2023: x x′ x′′ x′′′. One such algorithm is called Gibbs sampling: for each component i of x in turn,sample a new value from the conditional distribution of xi given all
  45. 19 Jun 2024: 1 Motivation and New Measures of Process Fairness. As machine learning methods are increasingly being used in decision making scenarios that affecthuman lives, there is a growing concern about the fairness ... In contrast, our empirical analysis of the
  46. - Machine Learning 4F13, Spring 2015

    https://mlg.eng.cam.ac.uk/teaching/4f13/1415/lect0607.pdf
    19 Nov 2023: x x′ x′′ x′′′. One such algorithm is called Gibbs sampling: for each component i of x in turn,sample a new value from the conditional distribution of xi given all
  47. Junction Tree, BP and Variational Methods

    https://mlg.eng.cam.ac.uk/adrian/2018-MLSALT4-AW3-approx.pdf
    19 Jun 2024: i. θixi). 35 / 32. Bad news for Markov networks. The global normalization constant Z (θ) kills decomposability:.
  48. 4F13 Machine Learning: Course work #2: Variational and Sampling ...

    https://mlg.eng.cam.ac.uk/teaching/4f13/0708/cw/coursework2.pdf
    19 Nov 2023: Each D-dimensional data point y(n). is generated using a new hidden vector, s(n).
  49. 4F13 Machine Learning: Coursework #2: Variational and Sampling…

    https://mlg.eng.cam.ac.uk/teaching/4f13/0809/cw/coursework2.pdf
    19 Nov 2023: Each D-dimensional data point y(n). is generated using a new hidden vector, s(n).
  50. Linear in the parameters regression

    https://mlg.eng.cam.ac.uk/teaching/4f13/1819/linear%20in%20the%20parameters%20regression.pdf
    19 Nov 2023: 4. 3. 2. 1. 0. 1. 2. 3. xi. yi. • In order to predict at a new x we need to postulate a model of the data.We will estimate y
  51. Gibbs Sampling

    https://mlg.eng.cam.ac.uk/teaching/4f13/1718/gibbs%20sampling.pdf
    19 Nov 2023: x x′ x′′ x′′′. One such algorithm is called Gibbs sampling: for each component i of x in turn,sample a new value from the conditional distribution of xi given all

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