Information geometry

View this topic in
In mathematics and especially in statistical inference, information geometry is the study of probability and information by way of differential geometry. (Wikipedia.org)






Conferences related to Information geometry

Back to Top

2023 Annual International Conference of the IEEE Engineering in Medicine & Biology Conference (EMBC)

The conference program will consist of plenary lectures, symposia, workshops and invitedsessions of the latest significant findings and developments in all the major fields of biomedical engineering.Submitted full papers will be peer reviewed. Accepted high quality papers will be presented in oral and poster sessions,will appear in the Conference Proceedings and will be indexed in PubMed/MEDLINE.


2021 IEEE International Conference on Mechatronics (ICM)

CM focuses on recent developments and future prospects related to the synergetic integration of mechanics, electronics, and information processing.


ICC 2021 - IEEE International Conference on Communications

IEEE ICC is one of the two flagship IEEE conferences in the field of communications; Montreal is to host this conference in 2021. Each annual IEEE ICC conference typically attracts approximately 1,500-2,000 attendees, and will present over 1,000 research works over its duration. As well as being an opportunity to share pioneering research ideas and developments, the conference is also an excellent networking and publicity event, giving the opportunity for businesses and clients to link together, and presenting the scope for companies to publicize themselves and their products among the leaders of communications industries from all over the world.


2020 IEEE International Symposium on Antennas and Propagation and North American Radio Science Meeting

The joint meeting is intended to provide an international forum for the exchange of information on state of the art research in the area of antennas and propagation, electromagnetic engineering and radio science


2020 59th IEEE Conference on Decision and Control (CDC)

The CDC is the premier conference dedicated to the advancement of the theory and practice of systems and control. The CDC annually brings together an international community of researchers and practitioners in the field of automatic control to discuss new research results, perspectives on future developments, and innovative applications relevant to decision making, automatic control, and related areas.


More Conferences

Periodicals related to Information geometry

Back to Top

Aerospace and Electronic Systems Magazine, IEEE

The IEEE Aerospace and Electronic Systems Magazine publishes articles concerned with the various aspects of systems for space, air, ocean, or ground environments.


Antennas and Propagation, IEEE Transactions on

Experimental and theoretical advances in antennas including design and development, and in the propagation of electromagnetic waves including scattering, diffraction and interaction with continuous media; and applications pertinent to antennas and propagation, such as remote sensing, applied optics, and millimeter and submillimeter wave techniques.


Audio, Speech, and Language Processing, IEEE Transactions on

Speech analysis, synthesis, coding speech recognition, speaker recognition, language modeling, speech production and perception, speech enhancement. In audio, transducers, room acoustics, active sound control, human audition, analysis/synthesis/coding of music, and consumer audio. (8) (IEEE Guide for Authors) The scope for the proposed transactions includes SPEECH PROCESSING - Transmission and storage of Speech signals; speech coding; speech enhancement and noise reduction; ...


Automatic Control, IEEE Transactions on

The theory, design and application of Control Systems. It shall encompass components, and the integration of these components, as are necessary for the construction of such systems. The word `systems' as used herein shall be interpreted to include physical, biological, organizational and other entities and combinations thereof, which can be represented through a mathematical symbolism. The Field of Interest: shall ...


Biomedical Engineering, IEEE Transactions on

Broad coverage of concepts and methods of the physical and engineering sciences applied in biology and medicine, ranging from formalized mathematical theory through experimental science and technological development to practical clinical applications.


More Periodicals

Most published Xplore authors for Information geometry

Back to Top

Xplore Articles related to Information geometry

Back to Top

Hybridizing: contemporary glide slopes to provide vertical guidance for GPS approaches

IEEE 2000. Position Location and Navigation Symposium (Cat. No.00CH37062), 2000

Vertical guidance for an instrument approach to landing during conditions of reduced visibility is a crucial element with respect to safety of flight. It is noteworthy that this vertical component, to be most useful and safe, must desirably provide the pilot with no more than several feet of uncertainty. Unfortunately with GPS the vertical portion of the position information supplied ...


SEVR: A LPD Metric for a 3-D Battle Space

MILCOM 2007 - IEEE Military Communications Conference, 2007

A new metric, the spherical equivalent vulnerability radius (SEVR), for evaluating the low probability of detection (LPD) attributes of emitting systems is developed and proposed. The metric extends the classical CEVR to three dimensions. The SEVR is defined as the radius of an equivalent sphere defined by the actual detection volume around a receiver given a desired level of vulnerability. ...


Multiscale colour texture retrieval using the geodesic distance between multivariate generalized Gaussian models

2008 15th IEEE International Conference on Image Processing, 2008

This contribution concerns the retrieval of colour texture. The interband correlation structure is considered by modeling the heavy-tailed image wavelet histograms with a multivariate generalized Gaussian. As a similarity measure we propose to use the Rao geodesic distance, which, in contrast to the Kullback-Leibler divergence, exists in a closed form for any fixed value of the shape pa rameter of ...


Sensitivity of image-based and texture-based multi-view coding to model accuracy

Proceedings 2001 International Conference on Image Processing (Cat. No.01CH37205), 2001

Multi-view image coding benefits from knowledge of the depicted scene's 3D geometry. To exploit geometry information for compression, two different approaches can be distinguished. In texture-based coding, images are converted to texture maps prior to compression. In image-based predictive coding, geometry is used for disparity compensation and occlusion detection between images. Coding performance of both approaches depends on the accuracy ...


Fine: Information embedding for document classification

2008 IEEE International Conference on Acoustics, Speech and Signal Processing, 2008

The problem of document classification considers categorizing or grouping of various document types. Each document can be represented as a bag of words, which has no straightforward Euclidean representation. Relative word counts form the basis for similarity metrics among documents. Endowing the vector of term frequencies with a Euclidean metric has no obvious straightforward justification. A more appropriate assumption commonly ...


More Xplore Articles

Educational Resources on Information geometry

Back to Top

IEEE-USA E-Books

  • Hybridizing: contemporary glide slopes to provide vertical guidance for GPS approaches

    Vertical guidance for an instrument approach to landing during conditions of reduced visibility is a crucial element with respect to safety of flight. It is noteworthy that this vertical component, to be most useful and safe, must desirably provide the pilot with no more than several feet of uncertainty. Unfortunately with GPS the vertical portion of the position information supplied to the pilot by GPS signals is the least precise because of the geometries involved. Many aspects of the contemporary UHF glide slope have been studied during its half century of use. This paper reports on advances that make it realistic to claim that a glide slope can be sited for Category I operation at any runway that meets the physical requirements for this type of operation. For the UHF glide slope, siting imperfections are accommodated by using one of five available types of contemporary glide slope systems or derivatives thereof. This paper reviews how accommodations are achieved in practical cases.

  • SEVR: A LPD Metric for a 3-D Battle Space

    A new metric, the spherical equivalent vulnerability radius (SEVR), for evaluating the low probability of detection (LPD) attributes of emitting systems is developed and proposed. The metric extends the classical CEVR to three dimensions. The SEVR is defined as the radius of an equivalent sphere defined by the actual detection volume around a receiver given a desired level of vulnerability. The extension makes possible a vulnerability assessment of emitting platforms capable of maneuvering in up to six-degrees-of-freedom (e.g. aircraft) while accounting for ground, airborne, and space borne threats operating in arbitrary geometries with respect to the emitter. We demonstrate how to evaluate the LPD performance using the SEVR and its value as a single parameter summary statistic versus classic CEVR in a test case scenario. As is shown, the primary factors affecting the SEVR are the spatial selectivity of the emitting system antenna and the threat interceptors' sensitivity. A major benefit of the SEVR is eliminating explicit intercept geometry from the evaluation. Of particular interest is the application of SEVR in the design and evaluation of communications antennas for stealth aircraft, as well as in mission planning.

  • Multiscale colour texture retrieval using the geodesic distance between multivariate generalized Gaussian models

    This contribution concerns the retrieval of colour texture. The interband correlation structure is considered by modeling the heavy-tailed image wavelet histograms with a multivariate generalized Gaussian. As a similarity measure we propose to use the Rao geodesic distance, which, in contrast to the Kullback-Leibler divergence, exists in a closed form for any fixed value of the shape pa rameter of the distribution. We apply this in several retrieval experiments. The modeling of the interband correlation significantly increases retrieval rates, while the geodesic distance is shown to outperform the Kullback- Leibler divergence. A multivariate Laplace distribution yields better results than a Gaussian, indicating the potential of a model with variable shape parameter together with the geodesic distance.

  • Sensitivity of image-based and texture-based multi-view coding to model accuracy

    Multi-view image coding benefits from knowledge of the depicted scene's 3D geometry. To exploit geometry information for compression, two different approaches can be distinguished. In texture-based coding, images are converted to texture maps prior to compression. In image-based predictive coding, geometry is used for disparity compensation and occlusion detection between images. Coding performance of both approaches depends on the accuracy of the available geometry model. Texture-based and image-based coding are compared with regard to the influence of geometry accuracy on coding efficiency. The results are theoretically explained. Experiments with natural as well as synthetic image sets show that texture-based coding is more sensitive to small geometry inaccuracies than image-based coding. For approximate geometry models, image-based coding performs best, while texture-based coding yields superior coding results if scene geometry is exactly known.

  • Fine: Information embedding for document classification

    The problem of document classification considers categorizing or grouping of various document types. Each document can be represented as a bag of words, which has no straightforward Euclidean representation. Relative word counts form the basis for similarity metrics among documents. Endowing the vector of term frequencies with a Euclidean metric has no obvious straightforward justification. A more appropriate assumption commonly used is that the data lies on a statistical manifold, or a manifold of probabilistic generative models. In this paper, we propose calculating a low-dimensional, information based embedding of documents into Euclidean space. One component of our approach motivated by information geometry is the Fisher information distance to define similarities between documents. The other component is the calculation of the Fisher metric over a lower dimensional statistical manifold estimated in a nonparametric fashion from the data. We demonstrate that in the classification task, this information driven embedding outperforms both a standard PCA embedding and other Euclidean embeddings of the term frequency vector.

  • Design of shapes for precise image registration

    This correspondence deals with the problem of designing planar shapes for subpixel image registration. Basic theoretical considerations are shown to lead to a lower bound on location accuracy. Optimal registration marks achieving this bound are discussed. These optimal designs, however, require very high printing or etching resolution and are inherently very sensitive to variations in the image sampling model (like scaling of grid size and rotation). More robust, optimal and suboptimal "topology-preserving" registration marks are then introduced and analyzed.

  • Progressive hiding of a 3D object into its texture image

    This paper presents an original data-hiding application where the payload is intimately related to the host data. On the other hand, we want to preserve this relationship so that each part of the payload is hidden in the related part of the host. On the other hand, we want to ensure that a degradation of the host data implies a proportional degradation of the related part of the hidden data.

  • Data measures for three-dimensional computerized ionospheric tomography systems

    Computerized ionospheric tomography (CIT) is an emerging technique that produces two and three-dimensional images of the electron distributions in the ionosphere. The limiting factor for CIT reconstructions is the inability to accurately estimate their vertical profiles due to the geometry of the CIT systems, which limits the amount of information detected at large projection angles. A relationship exists between the amount of information that is gathered at a particular projection angle, and the positions of the ground station receivers in the data acquisition system. The proper placement of these ground station receivers can increase the information content of the dataset, and consequently increase the resolution of the resulting images. In order to measure the effect of varying the placement of the ground station receivers, a resolution metric is needed. This paper presents a resolution measure based on projections that enables observation of the information content as a function of the ray path angle. This resolution measure can be used in the development of CIT systems as well as in the evaluation of existing system configurations.

  • Matrix Constant False Alarm Rate(MCFAR) detector based on information geometry

    With the development of signal processing technology, many new requirements are put forward for radar target detection. For instance, it should accurately detect the targets in perturbed environment and with small bunch of pulses. However, in the situation of a few number of pulses, the classical methods using coherent accumulation are not very satisfactory. In order to overcome the drawbacks, a lot of new mathematical methods were introduced. Information geometry method is one of these methods which researches statistical problems on the manifold and metric space, and it provides us a new method to enhance radar detection performance. Based on the method of information geometry and Constant False Alarm Rate (CFAR) detector, the paper introduces a new detection structure called Matrix Constant False Alarm Rate (MCFAR) DETECTOR to detect targets for Pulse Doppler radar with small bunch of pulses. The paper also simulates the feasibility of MCFAR DETECTOR and compare the performance with classical method. Results show that the MCFAR DETECTOR can accurately detect the targets and improve the detection performance.

  • Geometry of the Cramer-Rao bound

    The Fisher information matrix determines how much information is given by a measurement about the parameters that index the underlying probability distribution. This paper assumes that the parameters structure the mean value vector in a multivariate normal distribution. The Fisher matrix is then a Gramian constructed from the sensitivity vectors that characterize the first- order variation in the mean with respect to the parameters. The inverse of the Fisher matrix has several geometrical properties that bring insight into the problem of identifying multiple parameters. The angle between a given sensitivity vector and the linear subspace spanned by all others determines the variance bound for identifying a given parameter. Similarly, the covariance for identifying the linear influence of two different subsets of parameters depends on the principal angles between the linear subspaces spanned by the sensitivity vectors for the respective subsets.<<ETX>>



Standards related to Information geometry

Back to Top

No standards are currently tagged "Information geometry"


Jobs related to Information geometry

Back to Top