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  2. mlss2003_main.dvi

    https://mlg.eng.cam.ac.uk/pub/pdf/Ras04.pdf
    13 Feb 2023: One of the primary goals computing the posterior is that it can be used tomake predictions for unseen test cases. ... n for thetraining means and analogously for the test means µ; for the covariance weuse Σ for training set covariances, Σ for
  3. Bayesian Inference for Efficient Learning in Control Marc Peter ...

    https://mlg.eng.cam.ac.uk/pub/pdf/DeiRas09.pdf
    13 Feb 2023: Required experience: 1minute. Figure 1 shows some snapshots of a test trajectory, where the controller is trained on experiencefrom 17.5 s. •
  4. 4F13 Machine Learning: Coursework #2: Latent Dirichlet Allocation…

    https://mlg.eng.cam.ac.uk/teaching/4f13/1112/cw/coursework2.pdf
    19 Nov 2023: c) 10% : Using the model from question b), what will the test set log probability be if the testset B contains a word which is not contained in the training set ... e) 10% : What is the log probability for the test document with ID 2001?
  5. Split and Merge EM Algorithm for Improving Gaussian Mixture Density…

    https://mlg.eng.cam.ac.uk/pub/pdf/UedNakGha00b.pdf
    13 Feb 2023: toimprove the likelihood of both the training data and of held-out test data. ... 2.In Fig. 2, the upper (lower) trajectory corresponds tothe training (test) data.
  6. FAST ONLINE ANOMALY DETECTION USING SCAN STATISTICS Ryan Turner ...

    https://mlg.eng.cam.ac.uk/pub/pdf/TurBotGha10.pdf
    13 Feb 2023: The compu-tational burden is small since the routine only needs to berun when configuring the test. ... We compareit to the CUSUM method, linear trend methods, and uni-formity tests.
  7. WolGha05 handout

    https://mlg.eng.cam.ac.uk/zoubin/papers/WolGha06.pdf
    27 Jan 2023: Now, imagine we get new information in the form of a positive blood test. ... Let us denote by B, the event that the blood test is positive.
  8. workshop_abstract.dvi

    https://mlg.eng.cam.ac.uk/pub/pdf/WilGha08.pdf
    13 Feb 2023: This experiment was designed to test the average predictiveperformance of the algorithms. ... The results are shown in table 1. Secondly, we designed an experiment to test the performance of the algorithm on new movieswith no, or few, reviews.
  9. Learning Depth From Stereo Fabian H. Sınz1, Joaquin Quiñonero ...

    https://mlg.eng.cam.ac.uk/pub/pdf/SinQuiBaketal04.pdf
    13 Feb 2023: The remaining 792 were used as test set. Classical calibration. During bundle adjustment, several camera parameterswere highly correlated with others. ... Fig. 5 shows the position error according to the test points actualdepth and according to the image
  10. - 4F13: Machine Learning

    https://mlg.eng.cam.ac.uk/teaching/4f13/1011/lect04.pdf
    19 Nov 2023: Moralisation test for conditional independence. (Lauritzen et al, 1990; Cowell et al, 1999)A. ... directed mixed graphs). • Marginal and conditional independence• Markov boundaries and separation tests for independence• Plate notation.
  11. Bayesian HC research talk

    https://mlg.eng.cam.ac.uk/zoubin/p8-07/lect4s.ppt
    27 Jan 2023: Unlabelled Test Images: 22,000 images. For each training and test image we can store a vector of 240 binary color and texture features. ... about 0.2 sec on this laptop to query 22,000 test images.
  12. Sparse Gaussian Processes using Pseudo-inputs Edward Snelson Zoubin…

    https://mlg.eng.cam.ac.uk/zoubin/papers/nips05spgp.pdf
    27 Jan 2023: Once the inversion is done, prediction isO(N ) for thepredictive mean andO(N 2) for the predictive variance per new test case. ... We have demonstrated a significant decrease in test error over the other methods for a givensmall pseudo/active set size.
  13. System Identification inGaussian Process Dynamical Systems Ryan…

    https://mlg.eng.cam.ac.uk/pub/pdf/TurDeiRas09.pdf
    13 Feb 2023: of test data; we trainedon daily snowfall from Jan. ... We do not report results for GPDM on the real data since it was too slow to run on the large test set.
  14. AA06.dvi

    https://mlg.eng.cam.ac.uk/pub/pdf/GirRasQuiMur03.pdf
    13 Feb 2023: the density of the actual true test output under the Gaussianpredictive distribution and use its negative log as a measure of loss. ... The training and test data consist of pH values (outputsy of the process) anda control input signal (u).
  15. Large Scale Nonparametric Bayesian Inference:Data Parallelisation in…

    https://mlg.eng.cam.ac.uk/pub/pdf/DosKnoMohGha09.pdf
    13 Feb 2023: Initially, a largenumber of features are added, which provides improvements in the test likelihood. ... Table 2 summarises the data and shows thatall approaches had similar test-likelihood performance.
  16. paper.dvi

    https://mlg.eng.cam.ac.uk/pub/pdf/KimGha08.pdf
    13 Feb 2023: Figure 1 shows the training points, test points, decision boundary from GPCand decision boundary from robust GPC. ... We created 10 pairs of training and test sets by randomlydividing the whole data set into two.
  17. Bayesian Classifier Combination Zoubin Ghahramani and Hyun-Chul Kim∗…

    https://mlg.eng.cam.ac.uk/zoubin/papers/GhaKim03.pdf
    27 Jan 2023: Satellitehas a training set of 4435, a test set of 2000 with 6 classes and 36 variables. ... UCI digit data set has a trainingset of 3823, a test set of 1797, 10 classes and 64 variables.
  18. - 4F13: Machine Learning

    https://mlg.eng.cam.ac.uk/teaching/4f13/0708/lect06.pdf
    19 Nov 2023: Constraint-Based Learning: Use statistical tests of marginal and conditionalindependence. Find the set of DAGs whose d-separation relations match theresults of conditional independence tests.
  19. Manifold Gaussian Processes for Regression Roberto Calandra∗, Jan…

    https://mlg.eng.cam.ac.uk/pub/pdf/CalPetRasDei16.pdf
    13 Feb 2023: Additionally, for the test set, wemake use of the Negative Log Predictive Probability (NLPP). ... For training we extract 400consecutive data points, while we test on the following 500data points.
  20. Randomized Nonlinear Component Analysis

    https://mlg.eng.cam.ac.uk/pub/pdf/LopSraSmo14a.pdf
    13 Feb 2023: Results are statistically significantrespect to a paired Wilcoxon test on a 95% confidence inter-val. ... Figure 3. Autoencoder reconstructions of unseen test images forthe MNIST (top) and CIFAR-10 (bottom) datasets.
  21. LNCS 5342 - Outlier Robust Gaussian Process Classification

    https://mlg.eng.cam.ac.uk/pub/pdf/KimGha08a.pdf
    13 Feb 2023: Figure 1 shows the training points, test points, decision boundary from GPCand decision boundary from robust GPC. ... We created 10 pairs of training and test sets by randomlydividing the whole data set into two.
  22. Local and global sparse Gaussian process approximations Edward…

    https://mlg.eng.cam.ac.uk/zoubin/papers/aistats07localGP.pdf
    27 Jan 2023: The nearestblock’s GP is used to predict at a given test point. ... At test time, a test point is simply assigned tothe nearest cluster center.
  23. BIOINFORMATICS ORIGINAL PAPER Vol. 21 no. 16 2005, pages ...

    https://mlg.eng.cam.ac.uk/pub/pdf/ChuGhaFal05a.pdf
    13 Feb 2023: Non-parametric tests,e.g. the Wilcoxon rank sum test, are superior to the t -test in this case. ... The integers in the parantheses is the total test error numberover the 10 folds.
  24. 13 Feb 2023: The test data is created by randomlyselecting 10% of the data points and setting them as missing. ... 0.5. 1. 1.5. 2. 2.5. 3. PARAFAC. Probabilistic NTF. Test Train.
  25. /users/joe/src/tops/dvips

    https://mlg.eng.cam.ac.uk/pub/pdf/UedNakGha00a.pdf
    13 Feb 2023: improve the likelihood of both the training dataand of held-out test data. ... The split criterion defined by equation 3.13 can be viewed as a likelihoodratio test.
  26. standalone.dvi

    https://mlg.eng.cam.ac.uk/pub/pdf/QuiRasWil07.pdf
    13 Feb 2023: test conditional: p(f|u) = N (K,uK1. u,uu, K, Q,) , (10b). ... Lower graph: assumption of conditional independencebetween training and test function values given u.
  27. 4F13 Machine Learning: Coursework #4: Reinforcement Learning Zoubin…

    https://mlg.eng.cam.ac.uk/teaching/4f13/1011/cw/coursework4.pdf
    19 Nov 2023: Test yourvalueIteration algorithm.
  28. 4F13 Machine Learning: Coursework #1: Gaussian Processes Carl Edward…

    https://mlg.eng.cam.ac.uk/teaching/4f13/1314/cw/coursework1.pdf
    19 Nov 2023: Show and comment on the fit and the hypers, and the predictions forthe test data.
  29. Relational Learning with Gaussian Processes Wei ChuCCLS Columbia…

    https://mlg.eng.cam.ac.uk/zoubin/papers/relationalgp.pdf
    27 Jan 2023: in the input space and provides proba-bilistic induction over unseen test points. ... K̃(zm, zt)]T. One can computethe Bernoulli distribution over the test labelyt by.
  30. Gaussian Process Model Based Predictive Control

    https://mlg.eng.cam.ac.uk/pub/pdf/KocMurRasGir04.pdf
    13 Feb 2023: 4. Fitting of theresponse for validation signal:• average absolute test error. AE = 0.1276 (14). • ... average squared test error. SE = 0.0373 (15). 0 1000 2000 3000 4000 5000 6000 7000 8000 9000 100002.
  31. 544 The Block Diagonal Infinite Hidden Markov Model Thomas ...

    https://mlg.eng.cam.ac.uk/pub/pdf/SteGhaGoretal09.pdf
    13 Feb 2023: Each dataset had 2000 stepsof training data and 2000 steps of test data. ... these were not significantly different (two sam-ple t-test, p = 0.3).
  32. Determinantal Clustering Process - A Nonparametric BayesianApproach…

    https://mlg.eng.cam.ac.uk/pub/pdf/ShaGha13a.pdf
    13 Feb 2023: Next anyparameters of the density model can be integrated outto produce a predictive clustering of unseen test data. ... lected wheat types) and leave 5 data points from eachwheat type as unobserved test points.
  33. The Infinite Hidden Markov Model Matthew J. Beal Zoubin ...

    https://mlg.eng.cam.ac.uk/zoubin/papers/ihmm.pdf
    27 Jan 2023: We propose estimating the likelihood of a test sequence given a learned model using particlefiltering. ... 6Different particle initialisations apply if we do not assume that the test sequence immediatelyfollows the training sequence.
  34. The Supervised IBP: Neighbourhood PreservingInfinite Latent Feature…

    https://mlg.eng.cam.ac.uk/pub/pdf/QuaShaKnoGha13.pdf
    13 Feb 2023: the in-ferred test latent variable z with respect to the train-ing latent variables Z. ... boldface is significant using a one-sided paired t-test with 95% confidence.
  35. 1 Learning the Structure of Deep Sparse Graphical Models ...

    https://mlg.eng.cam.ac.uk/pub/pdf/AdaWalGha10.pdf
    13 Feb 2023: c) (d)Figure 4: Olivetti faces a) Test images on the left, withreconstructed bottom halves on the right. ... Fig 4ashows six bottom-half test set reconstructions on theright, compared to the ground truth on the left.
  36. chu05a.dvi

    https://mlg.eng.cam.ac.uk/pub/pdf/ChuGha05a.pdf
    13 Feb 2023: 0.23370.0072. Table 2: Test results of the three algorithms using a Gaussian kernel. ... Figure 4 presents the test results of the three algorithms for different numbers ofselected genes.
  37. Archipelago: Nonparametric Bayesian Semi-Supervised Learning Ryan…

    https://mlg.eng.cam.ac.uk/pub/pdf/AdaGha09.pdf
    13 Feb 2023: In almost all of our tests, Archipelagohad lower test classification error than the NCNM. ... Itimproves over mixture-based Bayesian approaches toSSL while still modeling complex density functions.In empirical tests, our model compares favorably
  38. Dependent Indian Buffet Processes Sinead Williamson Peter Orbanz…

    https://mlg.eng.cam.ac.uk/pub/pdf/WilOrbGha10.pdf
    13 Feb 2023: The data was randomly split into atraining set of 130 countries, and a test set of 14 coun-tries. ... For each test country, one randomly selectedindicator was observed, and the remainder held outfor prediction.
  39. Learning to Control a Low-Cost Manipulator usingData-Efficient…

    https://mlg.eng.cam.ac.uk/pub/pdf/DeiRasFox11.pdf
    13 Feb 2023: Althoughdeposit failure feedback was not available to the learner, thedeposit success is good across 10 test trials and four differenttraining setups. ... Second, Tab. III reports the block-deposit success rates for10 test runs (and four different
  40. - IB Paper 7: Probability and Statistics

    https://mlg.eng.cam.ac.uk/teaching/1BP7/1819/lect01.pdf
    19 Nov 2023: Why do we need this, is it useful?• Make inference about uncertain events• Form the basis of information theory• Test the strength of statistical evidence. •
  41. Probabilistic Modelling, Machine Learning,and the Information…

    https://mlg.eng.cam.ac.uk/zoubin/talks/mit12csail.pdf
    27 Jan 2023: Some Comparisons. Table 1: Test errors and predictive accuracy (smaller is better) for the GP classifier, the supportvector machine, the informative vector machine, and the sparse pseudo-inputGP classifier. ... Data set GPC SVM IVM SPGPC. name train:test
  42. Approximate inference for the loss-calibrated Bayesian

    https://mlg.eng.cam.ac.uk/pub/pdf/LacHusGha11.pdf
    13 Feb 2023: We also assume. the transductive scenario where we are given a test setS of S points {xs}Ss=1, i.e. ... of the shift between the test and trainingdistributions (columns) and the asymmetry of loss (rows).
  43. LNAI 3944 - Evaluating Predictive Uncertainty Challenge

    https://mlg.eng.cam.ac.uk/pub/pdf/QuiRasSinetal06.pdf
    13 Feb 2023: The participants could then usethem to train their algorithms before submitting the test predictions. ... The test results were made public on December 11. The website remainsopen for submission.
  44. Gibbs sampling (an MCMC method) and relations to EM

    https://mlg.eng.cam.ac.uk/zoubin/SALD/week7at.pdf
    27 Jan 2023: Uniform U(0, θ] distribution, θ > 0. We select at random m n disks, having a common θ for failure We select n of these (at random) and test them until
  45. Bayesian Hierarchical Clustering Katherine A. Heller…

    https://mlg.eng.cam.ac.uk/zoubin/papers/bhcnew.pdf
    27 Jan 2023: As we will see, the main difference isthat our algorithm uses a statistical hypothesis test tochoose which clusters to merge. ... Sec-ond our algorithm is derived from Dirichlet processmixtures. Third the hypothesis test at the core ofour algorithm tests
  46. 27 Jan 2023: Fig 2 (a) and Fig 2 (b) shows the training set and the test set. ... Each fold were subsequently used as a test set, while the other 9.
  47. gppl.dvi

    https://mlg.eng.cam.ac.uk/zoubin/papers/icml05chuwei-pl.pdf
    27 Jan 2023: 2.3. Prediction. Now let us take a test pair (r, s) on which the pref-erence relation is unknown. ... our algorithm. The test results of the two algorithmsare presented in the left graph of Figure 2.
  48. Warped Gaussian Processes Edward Snelson∗ Carl Edward Rasmussen†…

    https://mlg.eng.cam.ac.uk/pub/pdf/SneRasGha04.pdf
    13 Feb 2023: the following table which shows the range of the targets(tmin, tmax), the number of input dimensions (D), and the size of the training and test sets(Ntrain, Ntest) that we ... We show three measuresof performance over independent test sets: mean absolute
  49. Draft version; accepted for NIPS*03 Warped Gaussian Processes Edward…

    https://mlg.eng.cam.ac.uk/zoubin/papers/gpwarp.pdf
    27 Jan 2023: the following table which shows the range of the targets(tmin, tmax), the number of input dimensions (D), and the size of the training and test sets(Ntrain, Ntest) that we ... We show three measuresof performance over independent test sets: mean absolute
  50. chu05a.dvi

    https://mlg.eng.cam.ac.uk/zoubin/papers/chu05a.pdf
    27 Jan 2023: 0.23370.0072. Table 2: Test results of the three algorithms using a Gaussian kernel. ... Figure 4 presents the test results of the three algorithms for different numbers ofselected genes.
  51. 13 Feb 2023: 6500, 1000, 797 data points were selected from the orig-inal test set as a validation set for DNA data set, Satellitedata set, UCI digit data set, respectively. ... BCCresults are based on comparing the posterior mode ofti for data points in the test set

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