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  2. Zoubin Ghahramani

    https://mlg.eng.cam.ac.uk/zoubin/rgbn.html
    27 Jan 2023: trybars. runs the bars problem. It should display weights after 200 iterations (about 30 secs on our machine).
  3. 4F13 Probabilistic Machine Learning: Coursework #1: Gaussian…

    https://mlg.eng.cam.ac.uk/teaching/4f13/1819/cw/coursework1.pdf
    19 Nov 2023: Why, why not? d) Generate 200 (essentially) noise free data points at x = linspace(-5,5,200)’; from a GP withthe following covariance function: {@covProd, {@covPeriodic, @covSEiso}}, with covariance hy-perparameters ... In order to apply the Cholesky
  4. 4F13 Probabilistic Machine Learning: Coursework #1: Gaussian…

    https://mlg.eng.cam.ac.uk/teaching/4f13/1718/cw/coursework1.pdf
    19 Nov 2023: Why, why not? d) Generate 200 (essentially) noise free data points at x = linspace(-5,5,200)’; from a GP withthe following covariance function: {@covProd, {@covPeriodic, @covSEiso}}, with covariance hy-perparameters ... In order to apply the Cholesky
  5. Unsupervised Learning Lecture 6: Hierarchical and Nonlinear Models…

    https://mlg.eng.cam.ac.uk/zoubin/course04/lect6hier.pdf
    27 Jan 2023: a data point), cyc - cycles of learning (default = 200)% eta - learning rate (default = 0.2), Winit - initial weight%% W - unmixing matrix, Mu - data mean, LL - log likelihoods during learning. ... function [W, Mu, LL]=ica(X,cyc,eta,Winit);. if nargin<2,
  6. Assessing Approximations forGaussian Process Classification Malte…

    https://mlg.eng.cam.ac.uk/pub/pdf/KusRas06.pdf
    13 Feb 2023: Results are shown in Figure 2. 200. 200. 150. 150. 130. ... 130. 160. 160. 200. 200. (1a) (1b) (1c). 0.25. 0.25. 0.5.
  7. nips.dvi

    https://mlg.eng.cam.ac.uk/pub/pdf/WilRas96.pdf
    13 Feb 2023: The sampling procedure is runfor the desired amount of time, saving the values of the hyperparameters 200 timesduring the last two-thirds of the run. ... The predictive distribution is then a mixture of 200 Gaussians.For a squared error loss, we use the
  8. nips.dvi

    https://mlg.eng.cam.ac.uk/pub/pdf/Ras96.pdf
    13 Feb 2023: The step sizes are set individually using several heuristic approximations, andscaled by an overall parameter ". We use L = 200 iterations, a window size of 20and a step size of " = 0:2 ... Allsimulations were done on a 200 MHz MIPS R4400 processor. The
  9. Occam’s Razor Carl Edward RasmussenDepartment of Mathematical…

    https://mlg.eng.cam.ac.uk/zoubin/papers/occam.pdf
    27 Jan 2023: In figure 5 we show how the evidencedepends onγ and the overall scaleC for a model of large order (D = 200). ... 0.5. 0. scaling exponent. log1. 0(C. ). log Evidence (D=200, max=27.48).
  10. nlds-final.dvi

    https://mlg.eng.cam.ac.uk/pub/pdf/GhaRow98a.pdf
    13 Feb 2023: 0 100 200 300 400 500 600 700 800 900 10004. ... 3. 2. 1. 0. 1. 2. 3. inpu. ts. a. 0 100 200 300 400 500 600 700 800 900 10003.
  11. Rasmussen

    https://mlg.eng.cam.ac.uk/pub/pdf/Ras03.pdf
    13 Feb 2023: valu. es. 0 50 100 150 200. 100. 101. 102. minus log target density. ... only 200 evaluations of the density, and 100 evaluations of its partial derivatives.
  12. Probabilistic Modelling, Machine Learning,and the Information…

    https://mlg.eng.cam.ac.uk/zoubin/talks/mit12csail.pdf
    27 Jan 2023: w/ Knowles 2011). Pitman-Yor Diffusion Tree: Results. Ntrain = 200, Ntest = 28, D = 10 Adams et al. ... 2008). Figure: Density modeling of the D = 10, N = 200 macaque skullmeasurement dataset of Adams et al.
  13. AA06.dvi

    https://mlg.eng.cam.ac.uk/pub/pdf/GirRasQuiMur03.pdf
    13 Feb 2023: Also plotted,50 samples obtained using thenumerical approximation. 100 150 200 250 300 350 400 450 500 550 6002.5. ... trueexactapproxnumerical. 100 150 200 250 300 350 400 450 500 550 6000.
  14. 13 Feb 2023: We vary the level of noise in the synthetic data, fixingN = 200, in Figure 3(b). ... Annals of the Institute of Statistical. Mathematics, 44:197–200, 1992. 10.1007/BF00048682.[5] G.
  15. SMEM Algorithm for Mixture Models

    https://mlg.eng.cam.ac.uk/pub/pdf/UedNakGha98a.pdf
    13 Feb 2023: The data size was 200/class for training and 200/class for test.
  16. ibpnips4.dvi

    https://mlg.eng.cam.ac.uk/zoubin/papers/ibp-nips05.pdf
    27 Jan 2023: 5. 10. K+. 0 100 200 300 400 500 600 700 800 900 10000. ... 2. 4. α. 0 100 200 300 400 500 600 700 800 900 10000.
  17. - 4F13: Machine Learning

    https://mlg.eng.cam.ac.uk/teaching/4f13/0708/lect10.pdf
    19 Nov 2023: 2 1.5 1 0.5 0 0.5 1 1.5 200.10.2. 0.3. 0.4.
  18. Adaptive Sequential Bayesian Change Point Detection Ryan…

    https://mlg.eng.cam.ac.uk/pub/pdf/TurSaaRas09.pdf
    13 Feb 2023: 50. 100. 150. 200. 250. 300. 350. 400. 450. Asia crisis, Dotcom bubbleDotcom bubble burst.
  19. - 4F13: Machine Learning

    https://mlg.eng.cam.ac.uk/teaching/4f13/1011/lect1011.pdf
    19 Nov 2023: 2 1.5 1 0.5 0 0.5 1 1.5 200.10.2. 0.3. 0.4.
  20. Nested sampling for Potts models Iain MurrayGatsby Computational…

    https://mlg.eng.cam.ac.uk/zoubin/papers/nips05nested.pdf
    27 Jan 2023: This. 1e-120. 1e-100. 1e-80. 1e-60. 1e-40. 1e-20. 1. 0 200 400 600 800 1000 1200 1400 1600 1800 2000. ... 100. 200. 300. (b). 5 0 50. 50. 100. 150. 200.
  21. Graph-based Semi-supervised Learning Zoubin Ghahramani Department of…

    https://mlg.eng.cam.ac.uk/zoubin/talks/lect3ssl.pdf
    27 Jan 2023: 2” (|LU| = 2200). 5 10 15 200.5. 0.6. 0.7. 0.8. ... 200-209.• Lawrence, N. D., & Jordan, M. I. (2005). Semi-supervised learning via Gaussian processes.
  22. A New Approach to Data Driven Clustering Arik Azran ...

    https://mlg.eng.cam.ac.uk/zoubin/papers/AzrGhaICML06.pdf
    27 Jan 2023: 250. 300. 350. P340 ; K=10. 50 100 150 200 250 300 350. ... 50. 100. 150. 200. 250. 300. 350. P4.8e11 ; K=4. Figure 1.
  23. Message Passing Algorithms for Dirichlet Diffusion Trees

    https://mlg.eng.cam.ac.uk/pub/pdf/KnoGaeGha11.pdf
    13 Feb 2023: Macaque skull measurements (N = 200,D = 10).We the macaque skull measurement data of Adamset al. ... We calculate predictive log like-lihoods on four splits into 1800 training and 200 testgenes.
  24. Infinite Sparse Factor Analysis and InfiniteIndependent Components…

    https://mlg.eng.cam.ac.uk/zoubin/papers/ica07knowles.pdf
    27 Jan 2023: generated data with D = 7, K =6, N = 200, the Z matrix shown in Figure 1(a), and Gaussian or Laplaciansource distributions.
  25. Gender Classification with Bayesian Kernel Methods [IJCNN1261]

    https://mlg.eng.cam.ac.uk/pub/pdf/KimKimGha06b.pdf
    13 Feb 2023: 3374. 50 100 150 200 250. 50. 100. 150. 200. 250.
  26. Factored Contextual Policy Search with Bayesian Optimization Robert…

    https://mlg.eng.cam.ac.uk/pub/pdf/PinKarKupetal19.pdf
    13 Feb 2023: If. 0 100 200 300 400 500episode. 0.20. 0.15. 0.10. 0.05. ... We compare FACESto ACES, and use 200 representer points to approximate theacquisition functions.
  27. On the Convergence of Bound Optimization Algorithms Ruslan…

    https://mlg.eng.cam.ac.uk/pub/pdf/SalRowGha03a.pdf
    13 Feb 2023: 0 100 200 300 400 500 600. 0.06. 0.04. 0.02. 0. ... EM: Hidden Markov Models. 0 100 200 300 400 500 600 700 800 900 10004.
  28. chu05a.dvi

    https://mlg.eng.cam.ac.uk/pub/pdf/ChuGha05a.pdf
    13 Feb 2023: Training data size. with Mean Imputation. 50 100 150 200 250 3000.6. ... 1032. GAUSSIAN PROCESSES FORORDINAL REGRESSION. 1 3 5 10 40 200 1000 126000.
  29. PROPAGATION OF UNCERTAINTY IN BAYESIAN KERNEL MODELS— APPLICATION TO…

    https://mlg.eng.cam.ac.uk/pub/pdf/QuiGirLarRas03.pdf
    13 Feb 2023: Averages over 200 repetitions. [5] I.J. Leontaritis and S.A. Billings, “Input-output parametricmodels for non-linear systems, part 1: Deterministic non-linear systems, part 2: Stochastic non-linear
  30. chu05a.dvi

    https://mlg.eng.cam.ac.uk/zoubin/papers/chu05a.pdf
    27 Jan 2023: Training data size. with Mean Imputation. 50 100 150 200 250 3000.6. ... 1032. GAUSSIAN PROCESSES FORORDINAL REGRESSION. 1 3 5 10 40 200 1000 126000.
  31. Learning Multiple Related Tasks using LatentIndependent Component…

    https://mlg.eng.cam.ac.uk/zoubin/papers/zgy-nips05.pdf
    27 Jan 2023: 50 100 200 5000.3. 0.35. 0.4. 0.45. 0.5. 0.55. 0.6. 0.65. ... 100 200 500 10000.1. 0.2. 0.3. 0.4. 0.5. 0.6. Training Set Size.
  32. Variational Inference for BayesianMixtures of Factor Analysers Zoubin …

    https://mlg.eng.cam.ac.uk/zoubin/papers/nips99.pdf
    27 Jan 2023: and the algorithm always found between12-14 Gaussians regardless of whether it was initialised with 0 or 200.
  33. 13 Feb 2023: pose a problem and the algorithm always found between12-14 Gaussians regardless of whether it was initialised with 0 or 200.
  34. Carl Edward Rasmussen and Marc Peter Deisenroth Probabilistic…

    https://mlg.eng.cam.ac.uk/pub/pdf/RasDei08.pdf
    13 Feb 2023: d(s)2 = x2 2xl sin(ϕ) 2l2 2l2 cos(ϕ). between the tip of the pendulum and its desired position, measured every 200 ms.The distance d is denoted by ... The x-axis is the number of 200 ms time steps,the y-axis is the immediate costs.
  35. A Kernel Approach to Tractable Bayesian Nonparametrics

    https://mlg.eng.cam.ac.uk/pub/pdf/HusLac11.pdf
    13 Feb 2023: Table 1 summarises the results of this comparisonbased on ten randomised iteration of the experimentwith 2000 training and 200 test samples. ... The data consists of two 200 200color satellite images, the background and the target(Fig.
  36. A Nonparametric Bayesian Approach toModeling Overlapping Clusters…

    https://mlg.eng.cam.ac.uk/pub/pdf/HelGha07a.pdf
    13 Feb 2023: actors,budget, recency, script, etc.) Instead, we took a semi-supervised approach, randomly selecting 200 movies,fixing the Z matrix for those data points to their cor-rect genres, and trying ... DPM inference was run semi-supervised on the same data set
  37. Manifold Gaussian Processes for Regression Roberto Calandra∗, Jan…

    https://mlg.eng.cam.ac.uk/pub/pdf/CalPetRasDei16.pdf
    13 Feb 2023: However, with. 0 1 2 3 4 5110. 140. 170. 200. ... 140. 170. 200. Time (sec). Ang. leof. the. left. Kne. e(d.
  38. 13 Feb 2023: It heard thecorrect door correctly with probability 0.85. The reward was unlikely to be behind the third door (p =. 2),. 0 50 100 150 200 250140. 120. 100. 80. 60.
  39. Nonparametric Transforms of Graph Kernels for Semi-Supervised Learning

    https://mlg.eng.cam.ac.uk/pub/pdf/ZhuKanGha04a.pdf
    13 Feb 2023: For all datasets, we usethe smallestm = 200 eigenvalue and eigenvector pairs from the graph Laplacian. ... 200 88.1 1.3 88.0 1.3 80.4 2.5 84.4 1.6 86.0 1.5 78.3 1.3 60.8 7.3 84.3
  40. Propagation Algorithms for VariationalBayesian Learning Zoubin…

    https://mlg.eng.cam.ac.uk/pub/pdf/GhaBea00a.pdf
    13 Feb 2023: We generated a 200-step time series of 10-dimensional data from three models:5(a) a factor analyser (i.e.
  41. iMGPE.dvi

    https://mlg.eng.cam.ac.uk/pub/pdf/RasGha02.pdf
    13 Feb 2023: 0 50 100 150 200. 0. 0.2. 0.4. 0.6. 0.8. 1.
  42. statmodels.dvi

    https://mlg.eng.cam.ac.uk/zoubin/papers/cohn96a.pdf
    27 Jan 2023: of 20 iterations per step.50 100 150 200 250 300 350 400 450 500. ... 140. Active Learning with Statistical Modelstraining set size. 50 100 150 200 250 300 350 400 450 500.
  43. The IBP Compound Dirichlet Process and its Application to Focused…

    https://mlg.eng.cam.ac.uk/pub/pdf/WilWanHelBle10.pdf
    13 Feb 2023: 100. 200. 300. 400. 500. Number of topics. Num. ber. of w. ... In bothmodels, topics appearing in more than 200 documents have beenexcluded to focus on the low frequency topics.
  44. statmodels.dvi

    https://mlg.eng.cam.ac.uk/pub/pdf/CohGhaJor96b.pdf
    13 Feb 2023: 0.003. 0.01. 0.03. 0.1. 0.3. 1randomvariance. 50 100 150 200 250 300 350 400 450 500. ... 140. Active Learning with Statistical Models. training set size50 100 150 200 250 300 350 400 450 500.
  45. Policy Search for Learning Robot Control Using Sparse Data

    https://mlg.eng.cam.ac.uk/pub/pdf/BisNguHooetal14.pdf
    13 Feb 2023: If onlylittle data is available, e.g. 200 data points for an 18 dim.model, the model learning performance can be improvedwhen using additional prior system knowledge [11]. ... The training data, e.g. 200 samples in an 18dimensional space after 4 episodes,
  46. Propagation Algorithms for VariationalBayesian Learning Zoubin…

    https://mlg.eng.cam.ac.uk/zoubin/papers/nips00beal.pdf
    27 Jan 2023: We generated a 200-step time series of 10-dimensional data from three models:5(a) a factor analyser (i.e.
  47. Discovering temporal patterns of differential geneexpression in…

    https://mlg.eng.cam.ac.uk/pub/pdf/SteDenMcHetal09.pdf
    13 Feb 2023: Figure 3d shows re-sults for one of the approximately 200 genes that were identified as differentially expressedright from the start of the time series.
  48. Bayesian Sets Zoubin Ghahramani∗ and Katherine A. HellerGatsby…

    https://mlg.eng.cam.ac.uk/pub/pdf/GhaHel06.pdf
    13 Feb 2023: Theanalogous priors are used for both other datasets. The EachMovie dataset was preprocessed, first by removing movies rated by less than 15people, and people who rated less than 200 movies.
  49. erice.dvi

    https://mlg.eng.cam.ac.uk/zoubin/papers/erice.pdf
    27 Jan 2023: 0. 50. 100. 150. 200. 0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 10. ... 50. 100. 150. 200. a. bFigure 7. Histograms of the average activity of the top level binary unit, after prolongedGibbs sampling, when shown novel handwritten twos and threes.
  50. Bayesian Learning in Undirected Graphical Models:Approximate MCMC…

    https://mlg.eng.cam.ac.uk/pub/pdf/MurGha04a.pdf
    13 Feb 2023: 1 0.5 0 0.5 1 1.50 50 100 150 200 250 300. ... 0. 0.2. 0.4. 0.6. 0.8. Parameters. f. 0 100 200 300 400 500 6000.
  51. iMGPE.dvi

    https://mlg.eng.cam.ac.uk/zoubin/papers/iMGPE.pdf
    27 Jan 2023: 0 50 100 150 200. 0. 0.2. 0.4. 0.6. 0.8. 1.

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