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  1. Results that match 1 of 2 words

  2. 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.
  3. 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.
  4. 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).
  5. 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.
  6. 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.
  7. 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.
  8. 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.
  9. 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.
  10. 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.
  11. 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.
  12. - 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.
  13. 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.
  14. /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.
  15. 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.
  16. Infinite Hidden Markov Models and extensions

    https://mlg.eng.cam.ac.uk/zoubin/talks/BayesHMMs10.pdf
    27 Jan 2023: IHMM evaluation in (Beal et al.,2002) is more elaborate: it allows the IHMM to con-tinue learning about new data encountered during test-ing. ... Subjecting theseresults to the same analysis as the artificial data re-veals similar compared test-set
  17. 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.
  18. Variational Inference for the Indian Buffet Process Finale…

    https://mlg.eng.cam.ac.uk/pub/pdf/DosMilVanTeh09.pdf
    13 Feb 2023: Table 1: Running times in seconds and test log-likelihoods for the Yale Faces dataset. ... Algorithm K Time Test Log-Likelihood. 2 56 -0.7444Finite Gibbs 5 120 -0.4220.
  19. 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.
  20. 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.
  21. 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.
  22. 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).
  23. 4F13 Machine Learning: Coursework #1: Gaussian Processes Carl Edward…

    https://mlg.eng.cam.ac.uk/teaching/4f13/1213/cw/coursework1.pdf
    19 Nov 2023: Show and comment on the fit and the hypers, and the predictions forthe test data.
  24. 4F13 Machine Learning: Coursework #1: Gaussian Processes Carl Edward…

    https://mlg.eng.cam.ac.uk/teaching/4f13/1415/cw/coursework1.pdf
    19 Nov 2023: Show and comment on the fit and the hypers, and the predictions forthe test data.
  25. - 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. •
  26. 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
  27. 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).
  28. 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
  29. 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
  30. 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.
  31. 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.
  32. 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
  33. 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
  34. 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
  35. 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.
  36. A Probabilistic Model for Online Document Clustering with Application …

    https://mlg.eng.cam.ac.uk/pub/pdf/ZhaGhaYan04a.pdf
    13 Feb 2023: In addition to the binary decision “novel” or “non-novel”, eachsystem is required to generated a confidence score for each test document. ... References. [1] The 2002 topic detection & tracking task definition and evaluation
  37. 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.
  38. LNAI 8189 - Variational Hidden Conditional Random Fields with Coupled …

    https://mlg.eng.cam.ac.uk/pub/pdf/BouZafMor13a.pdf
    13 Feb 2023: In each case, we evaluated their performance on a test set consist-ing of sequences from 3 debates. ... Since we have introduced parameters θ it is sensible to test our methodologyfor signs of overfitting.
  39. Learning to Parse Images

    https://mlg.eng.cam.ac.uk/pub/pdf/HinGhaTeh99a.pdf
    13 Feb 2023: Then the learning. 2,3. 2,4. 2,5. 3,4. 3,5. 4,5. Figure 1: Sample images from the test set. ... tested on the same test set.
  40. 13 Feb 2023: The predictive distribution for a novel test input. is Gaussian: ) 2! ... on random examples, the relations can already be approximated to within root meansquared errors (estimated on -& test samples and considering the mean of the predicteddistribution)
  41. Nonparametric Transforms of Graph Kernelsfor Semi-Supervised Learning …

    https://mlg.eng.cam.ac.uk/zoubin/papers/ZhuKanGhaLaf04.pdf
    27 Jan 2023: Morespecifically, we restrict ourselves to thetransductive setting where the unlabeled data alsoserve as the test data. ... All classes must be present in the labeled set. The rest is used asunlabeled (test) set in that trial.
  42. The Infinite Hidden Markov Model Matthew J. Beal Zoubin ...

    https://mlg.eng.cam.ac.uk/pub/pdf/BeaGhaRas02.pdf
    13 Feb 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.
  43. Scalable Gaussian Process Structured Prediction for Grid Factor Graph …

    https://mlg.eng.cam.ac.uk/pub/pdf/BraQuaNowGha14.pdf
    13 Feb 2023: Prediction For a previously unseen test image x X ,the predictive distribution over the latent structured outputy Y can be computed as follows:. ... Table 1. Error rate performance on test set of 143 images when training set size varies, N {25, 50, 100,
  44. Computational structure of coordinatetransformations: A…

    https://mlg.eng.cam.ac.uk/zoubin/papers/coord.pdf
    27 Jan 2023: We test this conclusion by mapping out the pattern of generalization inducedby one and two remapped points in two dimensions.In the contextual generalization study we examine the question of whether ... To test learning of the remap-ping and
  45. Bayesian Exponential Family PCA Shakir Mohamed Katherine Heller…

    https://mlg.eng.cam.ac.uk/pub/pdf/MohHelGha08.pdf
    13 Feb 2023: To evaluate the performance of BXPCA, we define training and test data from the available. ... data. The test data was created by randomly selecting 10% of the data points.
  46. Learning Multiple Related Tasks using Latent Independent Component…

    https://mlg.eng.cam.ac.uk/pub/pdf/ZhaGhaYan05a.pdf
    13 Feb 2023: For both data sets we use the standardtraining/test split, but for RCV1 since the test part of corpus is huge (around 800k docu-ments) we only randomly sample 10k as ... our test set.
  47. Variational Inference for Nonparametric Multiple Clustering Yue Guan, …

    https://mlg.eng.cam.ac.uk/pub/pdf/GuaDyNiuetal10.pdf
    13 Feb 2023: We want to test whether or not our algorithmcan deal with high dimensionality and more than two views. ... We test our method to see whether we can find thesetwo clustering views.
  48. Factorial Hidden Markov Models

    https://mlg.eng.cam.ac.uk/pub/pdf/GhaJor97a.pdf
    13 Feb 2023: The test set log likelihood forNobservation sequences is defined as. Nn=1 log P(Y. ... and test sets (p < 0.05).This may be due to insufficient sampling.
  49. erice.dvi

    https://mlg.eng.cam.ac.uk/zoubin/papers/erice.pdf
    27 Jan 2023: The 2000 digits were divided into a training set of 1400 digits,and a test set of 600 digits, with twos and threes being equally representedin both sets. ... a) Average activity fortwos in the test set. b) Average activity for threes in the test set.
  50. Scaling Multidimensional Gaussian Processes using ProjectedAdditive…

    https://mlg.eng.cam.ac.uk/pub/pdf/GilSaaCun13.pdf
    13 Feb 2023: This paper introduces and tests a novelmethod of projected additive approximationto multidimensional GPs. ... Scaling Multidimensional Gaussian Processes. Algorithm 1 Gaussian Process Regression using SSMsInput: Jointly sorted training and test input
  51. Graphical Models Zoubin Ghahramani Department of…

    https://mlg.eng.cam.ac.uk/zoubin/talks/lect2gm.pdf
    27 Jan 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.

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