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  1. Results that match 1 of 2 words

  2. 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). • ... make predictions on test cases• interpret the trained model, what insights is the model providing?• evaluate the accuracy of model. •
  3. nips.dvi

    https://mlg.eng.cam.ac.uk/pub/pdf/WilRas96.pdf
    13 Feb 2023: There is one trainingcase (x(1); t(1)) and one test case for which we wish to predict y. ... The dotted line represents an observation y1 = t(1). In the right-hand plot we seethe distribution of the output for the test case, obtained by conditioning on
  4. Predictive Automatic Relevance Determinationby Expectation…

    https://mlg.eng.cam.ac.uk/pub/pdf/QiMinPic04a.pdf
    13 Feb 2023: The first experiment has 30 random trainingpoints and 5000 random test points with dimension200. ... The estimated predictive performance is better correlated with the test errors thanevidence and sparsity.
  5. 13 Feb 2023: However,it gives proper consideration to the uncertainty surrounding the test point and exactly computes themoments of the correct posterior distribution. ... 0.5log(x2(sin(2x)2)1). Figure 3: Comparison of models for suite of 6 test functions.
  6. 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.
  7. 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.
  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. 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.
  10. 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.
  11. 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
  12. - 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.
  13. 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.
  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. 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.
  16. - 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.
  17. 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.
  18. 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.
  19. 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.
  20. 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.
  21. 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.
  22. 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.
  23. 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
  24. 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.
  25. 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.
  26. 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.
  27. /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.
  28. 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.
  29. Inferring a measure of physiological age frommultiple ageing related…

    https://mlg.eng.cam.ac.uk/pub/pdf/KnoParGlaWin11.pdf
    13 Feb 2023: Table 2: Hold out test. Values are log10(p) where p is the p-value for the Spearman rank correlationhypothesis test. ... The results are shown in Figure 2.2, where we are also able to include binary variables unlikefor the Spearman test.
  30. Adaptive Sequential Bayesian Change Point Detection Ryan…

    https://mlg.eng.cam.ac.uk/pub/pdf/TurSaaRas09.pdf
    13 Feb 2023: We also include the 95% error bars on the NLL and the p-value that the joint model/learned hypers hasa higher NLL using a one sided t-test. ... Industry: We test on the last 8455 points of the portfolio data, 3 July 1975–31 December 2008.
  31. Recent Advanced in Causal Modelling Using Directed Graphs

    https://mlg.eng.cam.ac.uk/zoubin/SALD/scheines.ppt
    27 Jan 2023: Can be applied to distributions where tests of conditional independence are known, but scores aren’t. ... 2) X1 - X2 into X2. Test. Test Conditions. X3. X2.
  32. 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.
  33. 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.
  34. paper8-lect0-13

    https://mlg.eng.cam.ac.uk/zoubin/p8-07/lect0.pdf
    27 Jan 2023: of belonging with the query set. The algorithm is very fast: about 0.2 sec on a laptop to query 22,000 test images.
  35. 13 Feb 2023: the test log-likelihood on a symmetric logscale as the discrepancy is very large. ... Test MSE on real-world regression problems (lower isbetter). 5.2. Approximation quality.
  36. A Kernel Approach to Tractable Bayesian Nonparametrics

    https://mlg.eng.cam.ac.uk/pub/pdf/HusLac11.pdf
    13 Feb 2023: We foundthat kst outperformed both competing methods sig-nificantly (p < 0.01, two sample T-test). ... 3. As measureof performance, we used average confusion, i. e. thefraction of misclassified test images.
  37. PROPAGATION OF UNCERTAINTY IN BAYESIAN KERNEL MODELS— APPLICATION TO…

    https://mlg.eng.cam.ac.uk/pub/pdf/QuiGirLarRas03.pdf
    13 Feb 2023: Thiscorresponds to using the model in recall/test phase under uncer-tain input. ... 3. PREDICTION WITH UNCERTAIN INPUT. Assume that the test inputx can not be observed directly and theuncertainty is modeled asx p(x) = N (u, S), with meanuand covariance
  38. Prediction on Spike DataUsing Kernel Algorithms Jan Eichhorn, Andreas …

    https://mlg.eng.cam.ac.uk/pub/pdf/EicTolZieetal04.pdf
    13 Feb 2023: Finallywe train the best model on these four folds and compute an independent test error on theremaining fold. ... Table 1 Mean test error and standard error on the low contrast dataset.
  39. 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.
  40. 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.
  41. 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.
  42. 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.
  43. 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).
  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. 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.
  46. 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.
  47. 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.
  48. 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
  49. linsys-new.dvi

    https://mlg.eng.cam.ac.uk/zoubin/papers/tr-96-2.pdf
    27 Jan 2023: Ph.D. Thesis, Graduate Group in Managerial Science and Applied Economics,University of Pennsylvania, Philadelphia, PA.Everitt, B.
  50. 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.
  51. 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.

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