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Discovering Interpretable Representations for Both Deep Generative…
https://mlg.eng.cam.ac.uk/adrian/ICML18-Discovering.pdf19 Jun 2024: Significant re-sults are identified using a paired t-test with p = 0.05. ... The SVHN dataset contains 73,257training digits (instances) and 26,032 test digits. -
TibGM: A Transferable and Information-Based Graphical Model Approach…
https://mlg.eng.cam.ac.uk/adrian/ICML2019-TibGM.pdf19 Jun 2024: Thick linesin the middle of each curve indicate the average performance,while the standard deviations over 50 random seeds are shownby the shaded regions. ... Significance is tested usingthe same paired t-test described above. TibGM ProMP -
From Parity to Preference-based Notionsof Fairness in Classification…
https://mlg.eng.cam.ac.uk/adrian/NeurIPS17-from-parity-to-preference.pdf19 Jun 2024: In this paper, we draw inspiration from the fair-division and envy-freeness literature in economics and game theory and proposepreference-based notions of fairness—given the choice between various sets ... Finally,we train the five classifiers -
Who owns the atmosphere?
https://mlg.eng.cam.ac.uk/carl/climate/eacc.html4 Jul 2024: Such a scheme would immediately put economic pressure on all users to reduce their utilisation of the common atmospheric resource. ... In the following years, low per capita emitters will gain immediate economic benefit from joining. -
https://mlg.eng.cam.ac.uk/zoubin/misc/karna.txt
https://mlg.eng.cam.ac.uk/zoubin/misc/karna.txt27 Jan 2023: This could take time and test our patience. Q. Once the enemy is defined, is violence the proper response? ... It may require education. It will require time and may test our patience. -
Adrian Weller
https://mlg.eng.cam.ac.uk/adrian/19 Jun 2024: Adrian serves on the boards of several organizations. He is a member of the World Economic Forum Global Future Council on the Future of AI, and is co-director of the ... Train and test tightness of LP relaxations in structured prediction. -
Bayesian Deep Learning via Subnetwork Inference · Cambridge MLG Blog
https://mlg.eng.cam.ac.uk/blog/2021/07/21/subnetwork-inference.html12 Apr 2024: Figure 9: Results on the rotated MNIST benchmark, showing the mean $pm$ std of the test error (top) and log-likelihood (bottom) across three different seeds. ... methods. Figure 10: Results on the corrupted CIFAR-10 benchmark, showing the mean $pm$ std -
Natural-Gradient Variational Inference 2: ImageNet-scale · Cambridge…
https://mlg.eng.cam.ac.uk/blog/2021/11/24/ngvi-bnns-part-2.html12 Apr 2024: Top middle plot: VOGN is about twice as slow (total time) compared to SGD and Adam. ... Reducing the prior precision $delta$ results in higher validation accuracy, but also a larger train-test gap, corresponding to more overfitting. -
https://mlg.eng.cam.ac.uk/blog/feed.xml
https://mlg.eng.cam.ac.uk/blog/feed.xml12 Apr 2024: middle-ground between expressivity and efficient determinant estimation. -
Exploring Properties of the Deep Image Prior Andreas…
https://mlg.eng.cam.ac.uk/adrian/NeurIPS_2019_DIP7.pdf19 Jun 2024: To test the nature of these outputs we introduce a novel saliencymap approach, termed MIG-SG. ... To test this, we evaluated the sensitivity of DIP to changes innetwork architecture. -
Transparency: Motivations and Challenges? Adrian…
https://mlg.eng.cam.ac.uk/adrian/transparency.pdf19 Jun 2024: truth.”. Defining criteria and tests for practical faithfulness are important open pro-blems. ... 53. Prat, A.: The wrong kind of transparency. American Economic Review 95(3),862–877 (2005). -
erice.dvi
https://mlg.eng.cam.ac.uk/zoubin/papers/erice.pdf27 Jan 2023: d) Weights from the toplayer binary logistic unit to the 24 middle layer binary logistic units. ... a) Weights from the top layer linear-Gaussian unit tothe 24 middle layer linear-Gaussian units. -
arXiv:0906.4032v1 [cs.LG] 22 Jun 2009
https://mlg.eng.cam.ac.uk/pub/pdf/BorGha09a.pdf13 Feb 2023: An associated test is called a two-sample test. Such tests are encountered invarious disciplines from the life sciences to the social sciences:. • ... 3. 3 Concept of Bayesian two-sample tests. 3.1 Bayes factor as test criterion. -
Understanding the Bethe Approximation: When and How can it ...
https://mlg.eng.cam.ac.uk/adrian/abc.pdf19 Jun 2024: Ex-periments are described in 6, where we examine test cases.Conclusions are discussed in 7. ... Given this performance, we used FW for all Bethe opti-mizations on the test cases. -
The Infinite Hidden Markov Model Matthew J. Beal Zoubin ...
https://mlg.eng.cam.ac.uk/zoubin/papers/ihmm.pdf27 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. -
Bayesian HC research talk
https://mlg.eng.cam.ac.uk/zoubin/p8-07/lect4s.ppt27 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. -
Gaussian Process Training with Input Noise Andrew McHutchonDepartment …
https://mlg.eng.cam.ac.uk/pub/pdf/MchRas11.pdf13 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. -
ency02.dvi
https://mlg.eng.cam.ac.uk/zoubin/course04/hbtnn2e-III.pdf27 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. -
ency02.dvi
https://mlg.eng.cam.ac.uk/zoubin/course03/hbtnn2e-III.pdf27 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. -
FAST ONLINE ANOMALY DETECTION USING SCAN STATISTICS Ryan Turner ...
https://mlg.eng.cam.ac.uk/pub/pdf/TurBotGha10.pdf13 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. -
Bayesian Active Learning for Classification and Preference Learning…
https://mlg.eng.cam.ac.uk/pub/pdf/HouHusGha11a.pdf13 Feb 2023: open,hard problem as it would require expensive integration over possible test datadistributions. ... Acc. ura. cy. (l) pref: cpu. Figure 4: Test set classification accuracy on classification and preference learningdatasets. -
Archipelago: Nonparametric Bayesian Semi-Supervised Learning Ryan…
https://mlg.eng.cam.ac.uk/pub/pdf/AdaGha09.pdf13 Feb 2023: The top row has three classes, the middle row hasfour classes and the bottom has five. ... In almost all of our tests, Archipelagohad lower test classification error than the NCNM. -
The Infinite Hidden Markov Model Matthew J. Beal Zoubin ...
https://mlg.eng.cam.ac.uk/pub/pdf/BeaGhaRas02.pdf13 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. -
Inferring a measure of physiological age frommultiple ageing related…
https://mlg.eng.cam.ac.uk/pub/pdf/KnoParGlaWin11.pdf13 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. -
Statistical Models for Partial Membership Katherine A. Heller…
https://mlg.eng.cam.ac.uk/pub/pdf/HelWilGha08.pdf13 Feb 2023: for πn in the middle of the range, versus at the ex-tremes. ... tower” cluster, and the middle row arethe images which have the most even membership in bothclusters. -
Scalingin a Hierar chical Unsupervised Network 1 Zoubin Ghahramani,2…
https://mlg.eng.cam.ac.uk/pub/pdf/GhaKorHin99a.pdf13 Feb 2023: b Sampleoutputsgeneratedbythemodelafter learning. a b c. Figure4: Generative weightsof a three-layeredRGBN after beingtrainedon thestereodisparityproblem.a Weightsfrom thetop layerhidden unit to the 24 middle-layerhidden units. ... Eachof the 24 -
PROPAGATION OF UNCERTAINTY IN BAYESIAN KERNEL MODELS— APPLICATION TO…
https://mlg.eng.cam.ac.uk/pub/pdf/QuiGirLarRas03.pdf13 Feb 2023: Thiscorresponds to using the model in recall/test phase under uncer-tain input. ... which we draw 100 samples (dots under it).In the middle of the figure, the solid line represents the true under-lying function. -
Scalingin a Hierar chical Unsupervised Network 1 Zoubin Ghahramani,2…
https://mlg.eng.cam.ac.uk/zoubin/papers/scaling.pdf27 Jan 2023: b Sampleoutputsgeneratedbythemodelafter learning. a b c. Figure4: Generative weightsof a three-layeredRGBN after beingtrainedon thestereodisparityproblem.a Weightsfrom thetop layerhidden unit to the 24 middle-layerhidden units. ... Eachof the 24 -
The Geometry of Random Features Krzysztof Choromanski∗1 Mark…
https://mlg.eng.cam.ac.uk/adrian/geometry.pdf19 Jun 2024: On the left: Gaussian kernel, inthe middle: kernel defined by the PD function φ(‖z‖) =(1 ‖z‖2. ... pre-dictive distribution obtained by an exactly-trained GP, and(ii) predictive RMSE on test sets. -
Statistical Models for Partial Membership Katherine A. Heller…
https://mlg.eng.cam.ac.uk/zoubin/papers/HelWilGha08.pdf27 Jan 2023: for πn in the middle of the range, versus at the ex-tremes. ... tower” cluster, and the middle row arethe images which have the most even membership in bothclusters. -
PILCO: A Model-Based and Data-Efficient Approach to Policy Search
https://mlg.eng.cam.ac.uk/pub/pdf/DeiRas11.pdf13 Feb 2023: 3)–(5). Doing this properlyrequires mapping uncertain test inputs through theGP dynamics model. ... b) Histogram (after 1,000 test runs)of the distances of the flywheel frombeing upright. -
Variational Inference for BayesianMixtures of Factor Analysers Zoubin …
https://mlg.eng.cam.ac.uk/zoubin/papers/nips99.pdf27 Jan 2023: Thick lines are accepted attempts, thin lines arerejected attempts. (middle) Exp 3: Means of the factor loading matrices. ... The variational Bayesian approachcorrectly inferred both the number of Gaussians and their intrinsic dimensionalities(Figure 3, -
LNAI 7524 - Modelling Input Varying Correlations between Multiple…
https://mlg.eng.cam.ac.uk/pub/pdf/WilGha12a.pdf13 Feb 2023: modeling through spatially varying coregionalization. Test 13(2), 263–312 (2004)Gouriéroux, C.: ARCH models and financial applications. ... The Re-. view of Economic Studies 61(2), 247–264 (1994)Murray, I., Adams, R.P., MacKay, D.J.: Elliptical -
Gaussian Process Change Point Models
https://mlg.eng.cam.ac.uk/pub/pdf/SaaTurRas10.pdf13 Feb 2023: Weevaluated the models’ ability to predict next day snow-fall using 35 years of test data. ... Method Negative Log Likelihood p-value MSE p-valueNile Data (200 Training Points, 462 Test Points). -
Bayesian Structured Prediction using Gaussian Processes Sébastien…
https://mlg.eng.cam.ac.uk/pub/pdf/BraQuaGha14a.pdf13 Feb 2023: For each session, we use 10 videosto train a chain CRF or GPstruct and the rest as test data. ... f MAP scheme, thinning at1:1 000. middle: Effect of thinning, i.e. -
Variational Inferen e for BayesianMixtures of Fa tor AnalysersZoubin…
https://mlg.eng.cam.ac.uk/pub/pdf/GhaBea99a.pdf13 Feb 2023: We used the dataset of 800 data pointsfrom a shrinking spiral from [12 as another test of how well the algorithm ould. ... The variational Bayesian approa h orre tly inferred both the number of Gaussians and their intrinsi dimensionalities(Figure 3, -
Learning to Parse Images
https://mlg.eng.cam.ac.uk/pub/pdf/HinGhaTeh99a.pdf13 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. ... The 64 middle layer units are meantto encode low level features, while each of the 4 top level units are meant to encodea digit class. -
The Case for Process Fairness in Learning:Feature Selection for ...
https://mlg.eng.cam.ac.uk/adrian/grgic.pdf19 Jun 2024: 3. Prior literature in social, economic, legal, and political sciences distinguishing between directdiscrimination and indirect discrimination makes similar observations as we do in this paper. ... For each of the classifiers, we also compute -
A Unified Approach to Quantifying Algorithmic Unfairness: Measuring…
https://mlg.eng.cam.ac.uk/adrian/KDD2018_inequality_indices.pdf19 Jun 2024: In this paper, we propose to quantify unfairness using inequal-ity indices that have been extensively studied in economics andsocial welfare [3, 10, 19]. ... For all experiments, we repeatedly split the data into 70%-30%train-test sets 10 times and -
544 The Block Diagonal Infinite Hidden Markov Model Thomas ...
https://mlg.eng.cam.ac.uk/pub/pdf/SteGhaGoretal09.pdf13 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). -
standalone.dvi
https://mlg.eng.cam.ac.uk/pub/pdf/QuiRasWil07.pdf13 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. -
Efficient Reinforcement Learning for Motor Control
https://mlg.eng.cam.ac.uk/pub/pdf/DeiRas09b.pdf13 Feb 2023: The objective is to swing the pendulum up and to balanceit in the inverted position in the middle of the track by simplypushing the cart to the left and to the ... The controller manages to keep thecart in the middle of the track, but the pendulum -
The Dynamic Beamformer Ali Bahramisharif1,2,�, Marcel A.J. van…
https://mlg.eng.cam.ac.uk/pub/pdf/BahvanSchGha12.pdf13 Feb 2023: After optimizing parameters, we computedthe performance on the test set. We used the correlation between the actual andpredicted sine and cosine of the angle as the performance measure. ... b) The prediction on the test setusing 300 sources. Red dots -
You Shouldn’t Trust Me: Learning Models WhichConceal Unfairness From…
https://mlg.eng.cam.ac.uk/adrian/ECAI20-You_Shouldn%E2%80%99t_Trust_Me.pdf19 Jun 2024: Each histogramrepresents the ranking across the test set assigned by the designated feature importance method. ... These results suggest that ourattack is successful in generalising across unseen test points. -
Human Perceptions of Fairness in Algorithmic Decision Making: A Case…
https://mlg.eng.cam.ac.uk/adrian/WWW18-HumanPerceptions.pdf19 Jun 2024: We draw these latentproperties from the existing literature in social-economic-political-moral sciences, philosophy, and the law, as detailed below.I. ... To evaluate the model, we randomly split thedata into 50%/50% train/test folds five times, and -
Occam’s Razor Carl Edward RasmussenDepartment of Mathematical…
https://mlg.eng.cam.ac.uk/pub/pdf/RasGha01.pdf13 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. ... The input points are arranged intwo lumps of16 and8 points, the step occurring in the middle of -
nips2007-final.dvi
https://mlg.eng.cam.ac.uk/pub/pdf/SilChuGha08.pdf13 Feb 2023: This setup is very closely related to the classicseemingly unrelated regressionmodel popular in economics [12]. ... The same partitions for training and test are usedto generate the results for XGP. -
Bayesian Hierarchical Clustering Katherine A. Heller…
https://mlg.eng.cam.ac.uk/zoubin/papers/bhcnew.pdf27 Jan 2023: Sec-ond our algorithm is derived from Dirichlet processmixtures. Third the hypothesis test at the core ofour algorithm tests between a single merged hypoth-esis and the alternative is exponentially many ... Note that point 18 in the middle column is -
gppl.dvi
https://mlg.eng.cam.ac.uk/zoubin/papers/icml05chuwei-pl.pdf27 Jan 2023: our algorithm. The test results of the two algorithmsare presented in the left graph of Figure 2. ... The middle crosses indicatethe average values over the 20 trials and the vertical linesindicate the standard deviations. -
Occam’s Razor Carl Edward RasmussenDepartment of Mathematical…
https://mlg.eng.cam.ac.uk/zoubin/papers/occam.pdf27 Jan 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. ... The input points are arranged intwo lumps of16 and8 points, the step occurring in the middle of
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