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  2. 3F3: Signal and Pattern Processing Lecture 1: Introduction to ...

    https://mlg.eng.cam.ac.uk/teaching/3f3/1011/lect1.pdf
    19 Nov 2023: Computational Neuroscience: neuronal networks, neural information processing,. • Economics: decision theory, game theory, operational research,.
  3. 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)
  4. 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.
  5. 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.
  6. 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.
  7. 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
  8. 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.
  9. 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.
  10. 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.
  11. paper.dvi

    https://mlg.eng.cam.ac.uk/zoubin/papers/fhmmML.pdf
    27 Jan 2023: For each randomly sampled set of parameters, aseparate training set and test set were generated and each algorithm was run once. ... Sixty-six chorales, with 40 or more events each, were divided into atraining set (30 chorales) and a test set (36 chorales
  12. Beyond Dataset Bias: Multi-task UnalignedShared Knowledge Transfer…

    https://mlg.eng.cam.ac.uk/pub/pdf/TomQuaCapLam12.pdf
    13 Feb 2023: time a leave-one-dataset-out experimentalsetup over five existing datasets that can be considered a valid test bed for anycross-dataset generalization method. ... Since the test set changes at each run, the standard de-viations are only barely indicative.
  13. Bayesian Structured Prediction using Gaussian Processes Sébastien…

    https://mlg.eng.cam.ac.uk/pub/pdf/BraQuaGha14a.pdf
    13 Feb 2023: Given f , due to the GP marginalisation property, the test point LV f aredistributed according to a multivariate Gaussian distribution (cf. ... For each session, we use 10 videosto train a chain CRF or GPstruct and the rest as test data.
  14. 868 State-Space Inference and Learning with Gaussian Processes Ryan…

    https://mlg.eng.cam.ac.uk/pub/pdf/TurDeiRas10.pdf
    13 Feb 2023: For the real data set,however, GPDM was not tested due to the computa-tional demand when running on the large test dataset. ... 0,σ2ν. ), σ2ν = 0.1. 2. The results were produced using a pseudo training setof size N = 50, T = 100 training observations
  15. BIOINFORMATICS Biomarker Discovery in Microarray GeneExpression Data…

    https://mlg.eng.cam.ac.uk/zoubin/papers/Bioinformatics05chuwei.pdf
    27 Jan 2023: Non-parametric tests, e.g. the Wilcoxon rank sum test, are superiorto the t-test in this case. ... expressed in the rank sum test atthe significance level of p=0.01.
  16. Bayesian Hierarchical Clustering Katherine A. Heller…

    https://mlg.eng.cam.ac.uk/zoubin/papers/icml05heller.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
  17. Data-Efficient Reinforcement Learning inContinuous State-Action…

    https://mlg.eng.cam.ac.uk/pub/pdf/McaRas17.pdf
    13 Feb 2023: We test ourmethod on the cartpole swing-up task, which involves nonlinear dynamics andrequires nonlinear control. ... We test our algorithm on the cartpole swing-up problem (Figure sec:app-cartpole).
  18. Minor typos in eq. (11) and (12) corrected, 2004-12-08.in ...

    https://mlg.eng.cam.ac.uk/pub/pdf/Ras00.pdf
    13 Feb 2023: Further tests on a variety of problems reveals that the infinite mixture model producesdensities whose generalisation is highly competitive with other commonly used methods.Current work is undertaken to explore performance
  19. Mind Reading by Machine Learning

    https://mlg.eng.cam.ac.uk/pub/pdf/HusNopLen10.pdf
    13 Feb 2023: In trial i of the experiment, thesubject is presented a set of test stimuli Si and gives a re-sponse ri. ... Rows correspondto different conditions, using different training distributions, and different task types to test subjects’
  20. Bayesian Learning in Undirected Graphical Models:Approximate MCMC…

    https://mlg.eng.cam.ac.uk/pub/pdf/MurGha04a.pdf
    13 Feb 2023: Our other two test systems are 100-node Boltzmannmachines and demonstrate learning where exact com-putation of Z(W ) is intractable3. ... 3These test sets are available online:http://www.gatsby.ucl.ac.uk/iam23/04blug/. 396 MURRAY & GHAHRAMANI UAI 2004.
  21. Message Passing Algorithms for Dirichlet Diffusion Trees

    https://mlg.eng.cam.ac.uk/pub/pdf/KnoGaeGha11.pdf
    13 Feb 2023: time (min) time (min) time (min). Figure 6. Per instance test set performance on the macaque skull measurement data Adams et al. ... Score is the per test point, per dimensionlog predictive likelihood. Time is the average computationtime on the system
  22. 1 Graph Kernels by Spectral Transforms Xiaojin Zhu Jaz ...

    https://mlg.eng.cam.ac.uk/zoubin/papers/ssl-book.pdf
    27 Jan 2023: We restrict. ourselves to transduction, i.e., the unlabeled data Xu is also the test data. ... the results, we perform paired t-test on test accuracy. We highlight the best accu-.
  23. Learning with Multiple Labels

    https://mlg.eng.cam.ac.uk/pub/pdf/JinGha02a.pdf
    13 Feb 2023: However, since sometimes the prior knowledge on the class label can be misleading, we need to test the robustness of the 'EMPrior Model' to such noisy prior knowledge. ... We varied the number of added classes to test reliability of our algorithm. •
  24. BIOINFORMATICS ORIGINAL PAPER Vol. 21 no. 3 2005, pages ...

    https://mlg.eng.cam.ac.uk/pub/pdf/BeaFalGha05a.pdf
    13 Feb 2023: The classical approach used in our previous work tests each‘gene–gene’ interaction by doing a hypothesis test compar-ing the bootstrap confidence interval of each parameter to. ... ALGORITHMVariational Bayesian learningThe classical approach tests
  25. btc654.tex

    https://mlg.eng.cam.ac.uk/zoubin/papers/Bioinformatics02raval.pdf
    27 Jan 2023: The RFP for a protein is defined as the fraction ofnegative test proteins (i.e. ... All of the models considered dramaticallyoutperform BLAST2 in this test of remote homologrecognition.
  26. rottpap.dvi

    https://mlg.eng.cam.ac.uk/pub/pdf/MurSbaRasGir03.pdf
    13 Feb 2023: posteriordensity function conditional on the training datax, yand the test pointsx. ... 2.2.1. Prediction at a random input If we now as-sume that the test inputx has a Gaussian distribution,x N (µµµx , ΣΣΣx ), the predictive distribution is
  27. Occam’s Razor Carl Edward RasmussenDepartment of Mathematical…

    https://mlg.eng.cam.ac.uk/pub/pdf/RasGha01.pdf
    13 Feb 2023: If the modelcomplexity is either too low or too high performance on an independent test set will suffer,giving rise to a characteristic Occam’s Hill.
  28. Learning Multiple Related Tasks using LatentIndependent Component…

    https://mlg.eng.cam.ac.uk/zoubin/papers/zgy-nips05.pdf
    27 Jan 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.
  29. 1 Robust Filtering and Smoothing with Gaussian Processes Marc ...

    https://mlg.eng.cam.ac.uk/pub/pdf/DeiTurHubetal12.pdf
    13 Feb 2023: Note that xt1serves as a test input from the perspective of the GP regression model. ... HYPOTHESIS THAT THE OTHER FILTERS ARE BETTER THAN THE GP-ADF USING A ONE-SIDED T-TEST.
  30. Continuous Relaxations for Discrete Hamiltonian Monte Carlo

    https://mlg.eng.cam.ac.uk/pub/pdf/ZhaSutSto12a.pdf
    13 Feb 2023: We test all three samplers on 36 random graphs from each of the two generating processes, usingdifferent values of c1 and c2 for each random graph. ... of messages. Our test set uses a subset of the messages which are small enough that we can run
  31. Analytic Moment-based Gaussian Process Filtering Marc Peter…

    https://mlg.eng.cam.ac.uk/pub/pdf/DeiHubHan09.pdf
    13 Feb 2023: The posterior predictive dis-tribution of the function value h = h(x) for an arbi-trary test input x is Gaussian with mean and variance. ... Consider the problem of predicting a function valueh(x) for an uncertain test input x N(µ, Σ), whereh GP with
  32. Nonlinear Set Membership Regression with Adaptive…

    https://mlg.eng.cam.ac.uk/pub/pdf/CalRobRasMac18.pdf
    13 Feb 2023: We created 555 randomised test runs of the wing rocktracking problems and tested each control algorithm on eachone of them. ... The noise bound would then becomputed as a function of the worst-case error of the POKI-LC predictor on a test sample.
  33. book

    https://mlg.eng.cam.ac.uk/zoubin/papers/CGM.pdf
    27 Jan 2023: We test these claims experimentally inthe next section. 1.4 Experiments. We test the CGM with a handwritten-word recognition task. ... We test the CGM using the 3 graphical models shown in Figure 1.2.
  34. manual.dvi

    https://mlg.eng.cam.ac.uk/pub/pdf/RasNeaHinetal96.pdf
    13 Feb 2023: 558.2 Analysis of experiments with common test sets. 588.3 Obtaining performance statistics: The mstats command. ... for the test cases, andthe normalize.n les the normalization constants used in encoding the data.
  35. A Simple Bayesian Framework for Content-Based Image Retrieval…

    https://mlg.eng.cam.ac.uk/pub/pdf/HelGha06a.pdf
    13 Feb 2023: ages were used with their labels as a training set, D, whilethe rest comprised the unlabelled test set, Du. ... at least one image in the Corel test set which is basically.
  36. Statistical tools for ultra-deep pyrosequencingof fast evolving…

    https://mlg.eng.cam.ac.uk/pub/pdf/KnoHol09.pdf
    13 Feb 2023: To test the significance of the parameters in the model a non-parametric bootstrap can beused [5].
  37. Tree-Based Inference for Dirichlet Process Mixtures Yang Xu Machine…

    https://mlg.eng.cam.ac.uk/pub/pdf/XuHelGha09.pdf
    13 Feb 2023: It then iteratively mergespairs of clusters to construct the hierarchy. The maindifference between BHC and traditional hierarchicalclustering methods is that BHC uses a statistical hy-pothesis test to choose which clusters ... For the synthetic datasets,
  38. Unsupervised Learning Week 1: Introduction, Statistical Basics,and a…

    https://mlg.eng.cam.ac.uk/zoubin/course05/lect1.pdf
    27 Jan 2023: Cognitive Science: computational linguistics, philosophy of mind,. • Economics: decision theory, game theory, operational research. •
  39. ency02.dvi

    https://mlg.eng.cam.ac.uk/zoubin/course04/hbtnn2e-III.pdf
    27 Jan 2023: statistical tests are performed on the data to determine independence and dependence re-. ... be considered for a xed amount computation, because the results of some statistical tests.
  40. ency02.dvi

    https://mlg.eng.cam.ac.uk/zoubin/course03/hbtnn2e-III.pdf
    27 Jan 2023: statistical tests are performed on the data to determine independence and dependence re-. ... be considered for a xed amount computation, because the results of some statistical tests.
  41. 4F13 Machine Learning: Coursework #3: Latent Dirichlet Allocation…

    https://mlg.eng.cam.ac.uk/teaching/4f13/2122/cw/coursework3.pdf
    19 Nov 2023: c) For the Bayesian model, what is the log probability for the test document with ID 2001? ... Explainwhether, when computing the log probability of a test document, you would use the multinomial orthe categorical distribution function?
  42. Modelling data

    https://mlg.eng.cam.ac.uk/teaching/4f13/1819/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. •
  43. - 4F13: Machine Learning

    https://mlg.eng.cam.ac.uk/teaching/4f13/0809/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.
  44. 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
  45. 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.
  46. 13 Feb 2023: 0.6. 0.8. Component Number. RM. SE. Test on Missing Values. TuckerpTucker1. ... We repeated this partition 10 times. Figure3(e) presents test performance in root mean squarederror (RMSE) averaged over the 10 trials.
  47. btc654.tex

    https://mlg.eng.cam.ac.uk/pub/pdf/RavGhaWil02a.pdf
    13 Feb 2023: The RFP for a protein is defined as the fraction ofnegative test proteins (i.e. ... All of the models considered dramaticallyoutperform BLAST2 in this test of remote homologrecognition.
  48. 4F13 Probabilistic Machine Learning: Coursework #1: Gaussian…

    https://mlg.eng.cam.ac.uk/teaching/4f13/1617/cw/coursework1.pdf
    19 Nov 2023: Show and comment on the fit and the hypers, and the predictions forthe test data.
  49. 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.
  50. 12 October N+Vs layout ok

    https://mlg.eng.cam.ac.uk/zoubin/papers/NewsViews00.pdf
    27 Jan 2023: 1b). results from tests of this material in elec-trolyte cells have shown an acceptable life-time, with a competitive energy per unitweight at reasonable rates of charge and discharge. ... To test this possibility, Keller et al.1 stud-ied three weed
  51. 4F13 Machine Learning: Coursework #1: Gaussian Processes Zoubin…

    https://mlg.eng.cam.ac.uk/teaching/4f13/1516/cw/coursework1.pdf
    19 Nov 2023: Show and comment on the fit and the hypers, and the predictions forthe test data.

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