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Approximating the Bethe Partition Function
https://mlg.eng.cam.ac.uk/adrian/pnb.pdf19 Jun 2024: restrictions; curvMeshNew is our refinement; gradMesh is our new first derivative method. -
Clamping Variables and Approximate Inference
https://mlg.eng.cam.ac.uk/adrian/pclamp.pdf19 Jun 2024: ZBi(x) is ‘Bethe partition function constrained to singleton qi = x’•Define new function,. -
Understanding the Bethe Approximation: When and How can it go Wrong?
https://mlg.eng.cam.ac.uk/adrian/pabc.pdf19 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. -
Clamping Improves TRW and Mean Field Approximations
https://mlg.eng.cam.ac.uk/adrian/pclamp-aistats.pdf19 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. -
Uprooting and Rerooting Graphical Models
https://mlg.eng.cam.ac.uk/adrian/slides_uproot.pdf19 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. -
preferential_fairness_nips_2017.pages
https://mlg.eng.cam.ac.uk/adrian/preferential_fairness_nips_2017.pdf19 Jun 2024: 4. New notions of fairness. M (100). W (100)M (200) W (200). -
- 4F13: Machine Learning
https://mlg.eng.cam.ac.uk/teaching/4f13/1112/lect10.pdf19 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 -
Leader Stochastic Gradient Descent (LSGD) for Distributed Training of …
https://mlg.eng.cam.ac.uk/adrian/LSGD_Poster_NeurIPS2019.pdf19 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. -
Clamping Variables and Approximate Inference
https://mlg.eng.cam.ac.uk/adrian/newsclamp.pdf19 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,. -
Engineering Tripos Part IB SECOND YEAR PART IB Paper ...
https://mlg.eng.cam.ac.uk/teaching/1BP7/1819/IBP7ex75.pdf19 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? -
3F3: Signal and Pattern Processing Lecture 4: Clustering Zoubin ...
https://mlg.eng.cam.ac.uk/teaching/3f3/1011/lect4.pdf19 Nov 2023: Examples:. • cluster news stories into topics. • cluster genes by similar function. • -
Revisiting the Limits of MAP Inference by MWSS on Perfect Graphs
https://mlg.eng.cam.ac.uk/adrian/slides-revisit.pdf19 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 -
Tightness of LP Relaxations for Almost Balanced Models
https://mlg.eng.cam.ac.uk/adrian/CP_AlmostBalanced.pdf19 Jun 2024: Exponential search space, NP-hard in general. One contribution: prove that this problem is tractablefor a new class of models. -
3F3: Signal and Pattern Processing Lecture 3: Classification Zoubin…
https://mlg.eng.cam.ac.uk/teaching/3f3/1011/lect3.pdf19 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. -
Gibbs Sampling
https://mlg.eng.cam.ac.uk/teaching/4f13/2324/gibbs%20sampling.pdf19 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 -
Gibbs Sampling
https://mlg.eng.cam.ac.uk/teaching/4f13/2122/gibbs%20sampling.pdf19 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 -
Orthogonal estimation of Wasserstein distances Mark Rowland*, Jiri…
https://mlg.eng.cam.ac.uk/adrian/slicedwasserstein_poster.pdf19 Jun 2024: Exploration of a new Wasserstein-like metric,projected Wasserstein distance. Projected Wasserstein distance. -
Modelling data
https://mlg.eng.cam.ac.uk/teaching/4f13/2122/modelling%20data.pdf19 Nov 2023: generalize from observations in the training set to new test cases(interpolation and extrapolation). • -
2018 Formatting Instructions for Authors Using LaTeX
https://mlg.eng.cam.ac.uk/adrian/AIES18-crowd_signals.pdf19 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 -
- 4F13: Machine Learning
https://mlg.eng.cam.ac.uk/teaching/4f13/1213/lect12.pdf19 Nov 2023: We have introduced a new set of hidden variables zd. • How do we fit those variables? -
Document models
https://mlg.eng.cam.ac.uk/teaching/4f13/2122/document%20models.pdf19 Nov 2023: categories. We have introduced a new set of hidden variables zd.• How do we fit those variables? -
- Machine Learning 4F13, Spring 2014
https://mlg.eng.cam.ac.uk/teaching/4f13/1314/lect1314.pdf19 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. -
Latent Dirichlet Allocation for Topic Modeling
https://mlg.eng.cam.ac.uk/teaching/4f13/2122/lda.pdf19 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. -
- Machine Learning 4F13, Michaelmas 2015
https://mlg.eng.cam.ac.uk/teaching/4f13/1516/lect1314.pdf19 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. -
Exploring Properties of the Deep Image Prior Andreas…
https://mlg.eng.cam.ac.uk/adrian/NeurIPS_2019_DIP7.pdf19 Jun 2024: This was further observed fromlooking at appropriate saliency maps, where we introduced a new method. -
- Machine Learning 4F13, Spring 2015
https://mlg.eng.cam.ac.uk/teaching/4f13/1415/lect12.pdf19 Nov 2023: categories. We have introduced a new set of hidden variables zd. • -
4F13 Machine Learning: Coursework #2: Gibbs Sampling Zoubin…
https://mlg.eng.cam.ac.uk/teaching/4f13/0910/cw/coursework2.pdf19 Nov 2023: Each D-dimensional data pointy(n) is generated using a new hidden vector, s(n). -
Bounding the Integrality Distance ofLP Relaxations for Structured…
https://mlg.eng.cam.ac.uk/adrian/OPT2016_paper_3.pdf19 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. -
ML-IRL: Machine Learning in Real Life Workshop at ICLR ...
https://mlg.eng.cam.ac.uk/adrian/ML_IRL_2020-Counterfactual_Accuracy.pdf19 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 -
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.html12 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 -
ML-IRL: Machine Learning in Real Life Workshop at ICLR ...
https://mlg.eng.cam.ac.uk/adrian/ML_IRL_2020-CLUE.pdf19 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. -
Linear in the parameters regression
https://mlg.eng.cam.ac.uk/teaching/4f13/2122/linear%20in%20the%20parameters%20regression.pdf19 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 -
Gibbs Sampling
https://mlg.eng.cam.ac.uk/teaching/4f13/1819/gibbs%20sampling.pdf19 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 -
Modelling data
https://mlg.eng.cam.ac.uk/teaching/4f13/1819/modelling%20data.pdf19 Nov 2023: generalize from observations in the training set to new test cases(interpolation and extrapolation). • -
- 4F13: Machine Learning
https://mlg.eng.cam.ac.uk/teaching/4f13/1112/lect08.pdf19 Nov 2023: We have introduced a new set of hidden variables zd. • How do we fit those variables? -
Clamping Variables and Approximate Inference
https://mlg.eng.cam.ac.uk/adrian/slides_msr2.pdf19 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,. -
Document models
https://mlg.eng.cam.ac.uk/teaching/4f13/2324/document%20models.pdf19 Nov 2023: categories. We have introduced a new set of hidden variables zd.• How do we fit those variables? -
- IB Paper 7: Probability and Statistics
https://mlg.eng.cam.ac.uk/teaching/1BP7/1819/lect04.pdf19 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 -
Background material crib-sheet Iain Murray , October 2003 Here ...
https://mlg.eng.cam.ac.uk/teaching/4f13/cribsheet.pdf19 Nov 2023: The gradient Differentiationof this line, the derivative, is not constant, but a new function:. -
Document models
https://mlg.eng.cam.ac.uk/teaching/4f13/1819/document%20models.pdf19 Nov 2023: categories. We have introduced a new set of hidden variables zd.• How do we fit those variables? -
Latent Dirichlet Allocation for Topic Modeling
https://mlg.eng.cam.ac.uk/teaching/4f13/1819/lda.pdf19 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. -
- Machine Learning 4F13, Michaelmas 2015
https://mlg.eng.cam.ac.uk/teaching/4f13/1516/lect0607.pdf19 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 -
- Machine Learning 4F13, Spring 2014
https://mlg.eng.cam.ac.uk/teaching/4f13/1314/lect0607.pdf19 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 -
The Case for Process Fairness in Learning:Feature Selection for ...
https://mlg.eng.cam.ac.uk/adrian/grgic.pdf19 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 -
- Machine Learning 4F13, Spring 2015
https://mlg.eng.cam.ac.uk/teaching/4f13/1415/lect0607.pdf19 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 -
Junction Tree, BP and Variational Methods
https://mlg.eng.cam.ac.uk/adrian/2018-MLSALT4-AW3-approx.pdf19 Jun 2024: i. θixi). 35 / 32. Bad news for Markov networks. The global normalization constant Z (θ) kills decomposability:. -
4F13 Machine Learning: Course work #2: Variational and Sampling ...
https://mlg.eng.cam.ac.uk/teaching/4f13/0708/cw/coursework2.pdf19 Nov 2023: Each D-dimensional data point y(n). is generated using a new hidden vector, s(n). -
4F13 Machine Learning: Coursework #2: Variational and Sampling…
https://mlg.eng.cam.ac.uk/teaching/4f13/0809/cw/coursework2.pdf19 Nov 2023: Each D-dimensional data point y(n). is generated using a new hidden vector, s(n). -
Linear in the parameters regression
https://mlg.eng.cam.ac.uk/teaching/4f13/1819/linear%20in%20the%20parameters%20regression.pdf19 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 -
Gibbs Sampling
https://mlg.eng.cam.ac.uk/teaching/4f13/1718/gibbs%20sampling.pdf19 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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