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They can be used for non-linear regression, time-series modelling, classification, and many other problems. Differentially private database release via kernel mean embeddings.
We lay theoretical foundations for new database release mechanisms that allow third-parties to construct consistent estimators of population statistics, while ensuring that the privacy of each individual contributing to the database is protected.
The proposed framework rests on two main ideas. First, releasing an estimate of the kernel mean embedding of the data generating random variable instead of the database itself still allows third-parties to construct consistent estimators of a wide class of population statistics.
Second, the algorithm can satisfy the definition of differential privacy by basing the released kernel mean embedding on entirely synthetic data points, while controlling accuracy through the metric available in a Reproducing Kernel Hilbert Space.
We describe two instantiations of the proposed framework, suitable under different scenarios, and prove theoretical results guaranteeing differential privacy of the resulting algorithms and the consistency of estimators constructed from their outputs.
Scalable magnetic field slam in 3d using gaussian process maps. We present a method for scalable and fully 3D magnetic field simultaneous localisation and mapping SLAM using local anomalies in the magnetic field as a source of position information.
These anomalies are due to the presence of ferromagnetic material in the structure of buildings and in objects such as furniture.
The Module Directory provides information on all taught modules offered by Queen Mary during the academic year The modules are listed alphabetically, and you can search and sort the list by title, key words, academic school, module code and/or semester. Yes the mythesis web site does offer a duplex printing option. You can select this using the Duplex Printing checkbox. If you choose the duplex option and you have had to merge a university scholarship form into the front of your thesis, make sure you add an extra blank page after it, so that the title page of your thesis is not printed on the reverse side. BINDING NOTES FOR SOAS RESEARCH DEGREE THESES Visiting address: Doctoral School Section, Registry SOAS, University of London 53 Gordon Square London WC1H 0PD Postal address: Doctoral School Section, Registry SOAS, University of London For the requirements of a thesis (including any length limitations), the .
We represent the magnetic field map using a Gaussian process model and take well-known physical properties of the magnetic field into account. We build local magnetic field maps using three-dimensional hexagonal block tiling.
To make our approach computationally tractable we use reduced-rank Gaussian process regression in combination with a Rao-Blackwellised particle filter. We show that it is possible to obtain accurate position and orientation estimates using measurements from a smartphone, and that our approach provides a scalable magnetic SLAM algorithm in terms of both computational complexity and map storage.
Antithetic and Monte Carlo kernel estimators for partial rankings. In the modern age, rankings data is ubiquitous and it is useful for a variety of applications such as recommender systems, multi-object tracking and preference learning. However, most rankings data encountered in the real world is incomplete, which prevents the direct application of existing modelling tools for complete rankings.
Our contribution is a novel way to extend kernel methods for complete rankings to partial rankings, via consistent Monte Carlo estimators for Gram matrices: We also present a novel variance reduction scheme based on an antithetic variate construction between permutations to obtain an improved estimator for the Mallows kernel.
The corresponding antithetic kernel estimator has lower variance and we demonstrate empirically that it has a better performance in a variety of Machine Learning tasks.
Both kernel estimators are based on extending kernel mean embeddings to the embedding of a set of full rankings consistent with an observed partial ranking. They form a computationally tractable alternative to previous approaches for partial rankings data.
An overview of the existing kernels and metrics for permutations is also provided. Streaming sparse Gaussian process approximations.
Sparse approximations for Gaussian process models provide a suite of methods that enable these models to be deployed in large data regime and enable analytic intractabilities to be sidestepped. However, the field lacks a principled method to handle streaming data in which the posterior distribution over function values and the hyperparameters are updated in an online fashion.
The small number of existing approaches either use suboptimal hand-crafted heuristics for hyperparameter learning, or suffer from catastrophic forgetting or slow updating when new data arrive. This paper develops a new principled framework for deploying Gaussian process probabilistic models in the streaming setting, providing principled methods for learning hyperparameters and optimising pseudo-input locations.
The proposed framework is experimentally validated using synthetic and real-world datasets. The first two authors contributed equally. The unreasonable effectiveness of structured random orthogonal embeddings. We examine a class of embeddings based on structured random matrices with orthogonal rows which can be applied in many machine learning applications including dimensionality reduction and kernel approximation.
We introduce matrices with complex entries which give significant further accuracy improvement.Governor General's Foot Guard Collar Badge Pair Both 6 point Star design in bright brass metal, one has lug fasteners and marked P.W. ELLIS & CO/ on back and other has one lug removed with solder remaining where someone has attempted to reattach and .
Gaussian Processes and Kernel Methods Gaussian processes are non-parametric distributions useful for doing Bayesian inference and learning on unknown functions.
They can be used for non-linear regression, time-series modelling, classification, and many other problems. Meet Inspiring Speakers and Experts at our + Global Conferenceseries Events with over + Conferences, + Symposiums and + Workshops on Medical, Pharma, Engineering, Science, Technology and Business..
Explore and learn more about . Positions in Mathematical Physics The IAMP announces available and wanted positions in Mathematical Physics. If you want to announce an available position . Using Harvard Multiple works by the same author(s) in the same year. Identify works by the same author in the same year by adding letters a, b, c, and so forth, to the year in both the in-text reference and the reference list entry.
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