# Manifolds

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# 6,724 resources related to Manifolds

### Conferences related to Manifolds

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.

2020 IEEE Conference on Computer Vision and Pattern Recognition (CVPR)

CVPR is the premier annual computer vision event comprising the main conference and several co-located workshops and short courses. With its high quality and low cost, it provides an exceptional value for students, academics and industry researchers.

2020 IEEE International Conference on Image Processing (ICIP)

The International Conference on Image Processing (ICIP), sponsored by the IEEE SignalProcessing Society, is the premier forum for the presentation of technological advances andresearch results in the fields of theoretical, experimental, and applied image and videoprocessing. ICIP 2020, the 27th in the series that has been held annually since 1994, bringstogether leading engineers and scientists in image and video processing from around the world.

2020 IEEE International Conference on Systems, Man, and Cybernetics (SMC)

The 2020 IEEE International Conference on Systems, Man, and Cybernetics (SMC 2020) will be held in Metro Toronto Convention Centre (MTCC), Toronto, Ontario, Canada. SMC 2020 is the flagship conference of the IEEE Systems, Man, and Cybernetics Society. It provides an international forum for researchers and practitioners to report most recent innovations and developments, summarize state-of-the-art, and exchange ideas and advances in all aspects of systems science and engineering, human machine systems, and cybernetics. Advances in these fields have increasing importance in the creation of intelligent environments involving technologies interacting with humans to provide an enriching experience and thereby improve quality of life. Papers related to the conference theme are solicited, including theories, methodologies, and emerging applications. Contributions to theory and practice, including but not limited to the following technical areas, are invited.

### Periodicals related to Manifolds

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.

Contains articles on the applications and other relevant technology. Electronic applications include analog and digital circuits employing thin films and active devices such as Josephson junctions. Power applications include magnet design as well asmotors, generators, and power transmission

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; ...

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 ...

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.

### Xplore Articles related to Manifolds

SCC 2013; 9th International ITG Conference on Systems, Communication and Coding, 2013

We consider unitary codebook design problems for various precoded MIMO scenarios, and interprete them as generalized discretization problems of flag manifolds. As a concrete example, we consider codebooks for MIMO transmission with linear receivers. In this case, the problem reduces to discretizing permutation-invariant flag manifolds. A corresponding Lloyd algorithm is given, providing low-distortion codebooks. The achievable rate of the system ...

Tsinghua Science and Technology, 2006

This paper analyzes the reduction of the well known Kadomtsev-Petviashvili hierarchy. The reduction yields a previously unknown dispersion counterpart of the dispersionless hierarchy which has a Lax function of the form p+ This paper also describes the This paper also describes the bihamiltonian structure of the reduced hierarchy using Dirac reduction and proves that the approximation for the reduced hierarchy ...

IEEE Transactions on Signal Processing, 2011

The author presents revisions to various equations and formulas from the above-named article.

Tsinghua Science and Technology, 2006

The objective of this paper is to analyze the stability of equilibrium manifolds for a ratio-dependent two-predators one-prey model. Some model results are presented first with the bifurcation without parameters method, and then the method was used to study bifurcation along the equilibrium manifold for the model. The model does not lose stability even when some equilibria are locally unstable ...

A rigorous orthogonal basis is described for the representation of high- frequency wave fields using beam superpositions parameterized by both spatial position and spatial direction of each beam. This representation has many desirable features not found in conventional phase-space-based expansions such as the discrete or continuous Gabor schemes. The representation is highly efficient in the geometrical optics limit, that is, ...

### Educational Resources on Manifolds

#### IEEE-USA E-Books

• We consider unitary codebook design problems for various precoded MIMO scenarios, and interprete them as generalized discretization problems of flag manifolds. As a concrete example, we consider codebooks for MIMO transmission with linear receivers. In this case, the problem reduces to discretizing permutation-invariant flag manifolds. A corresponding Lloyd algorithm is given, providing low-distortion codebooks. The achievable rate of the system applying the generated codebooks is compared by simulations. We find that for a N-by-N full-rank MIMO system with N > 2 and a linear receiver, the gain of precoding with a small number of feedback bits is small. This differs from the behavior of low-rank transmissions, where it is known that a small number of feedback bits allows near-optimal channel adaptation.

• This paper analyzes the reduction of the well known Kadomtsev-Petviashvili hierarchy. The reduction yields a previously unknown dispersion counterpart of the dispersionless hierarchy which has a Lax function of the form p+ This paper also describes the This paper also describes the bihamiltonian structure of the reduced hierarchy using Dirac reduction and proves that the approximation for the reduced hierarchy up to the second order of the dispersion parameter coincides with the hierarchy of integrable systems constructed from a particular twodimensional Frobenius manifold using the approach of Dubrovin and Zhang.

• The author presents revisions to various equations and formulas from the above-named article.

• The objective of this paper is to analyze the stability of equilibrium manifolds for a ratio-dependent two-predators one-prey model. Some model results are presented first with the bifurcation without parameters method, and then the method was used to study bifurcation along the equilibrium manifold for the model. The model does not lose stability even when some equilibria are locally unstable because the equilibrium manifold is stable when treated as a whole. The ecological implications of the results are discussed.

• A rigorous orthogonal basis is described for the representation of high- frequency wave fields using beam superpositions parameterized by both spatial position and spatial direction of each beam. This representation has many desirable features not found in conventional phase-space-based expansions such as the discrete or continuous Gabor schemes. The representation is highly efficient in the geometrical optics limit, that is, when it is strongly localized in the phase-space.

• This paper studied the conditions such that an n-dimensional complete space- like submanifold M with a parallel mean curvature vector field in an indefinite space form Sn+p(c)(p ≥ 2, n≥ 3) is a totally umbilical submanifold. By means of Laplacian estimation and the choice of a diagonal frame field, the following theorem is proved: if Mis quasi-conformally flat and H2≤ c, Ric$(M) \leq \delta_{M} < [(n-1)-(1)/(t)](c-H^{2})$, then M is a totally umbilical submanifold.

• This paper is concerned with the ambiguity problem which is of major concern in a number of statistical signal processing applications. Initially, the concept of ‘hyperhelical’ parameterisation is presented and then a compact algorithm for the classification and calculation of ambiguities is proposed, in conjunction with two application areas: the array processing and the harmonic retrieval problem. Furthermore, it is demonstrated that in the harmonic retrieval problem, under certain conditions, the sampling rate can even be lower than the Nyquist rate.

• I discuss the Euler-Poincar’e equation as described in Poincaré’s original paper. I consider, then, Lagrangian systems with lot of symmetries, and for which this equation simplifies. Typical examples are furnished by semi- invariant Riemannian metrics on Lie groups. In that case, the Euler-Poincaré equation reduces to a generalization (to an arbitrary Lie group) of the Euler equation for the rigid body. I present several applications of this formalism in mathematical physics.

• 3D caricature generation is becoming an interesting and important research program, but it is impossible for the computer to draw an elegant caricature without any background. In this paper, we build a training set which contains 110 true face photographs and corresponsive 3D caricature models. Based on that training set, the LLE manifold learning is performed to discover the low dimensional embeddings. Between the 2D true face embeddings and 3D caricature embeddings, a regressive model is learnt by the Extreme Learning Machine. Experiments show that, the regressive manifold model is effective to generate the final 3D caricature for a 2D facial photograph.

• In this paper the robust stabilization problem for a class nonlinear systems with incomplete state availability is addressed and solved by using a second order sliding mode approach. In previous works a discontinuous control input that guarantees the asymptotic stabilization of a class of systems expressed in the Brunowsky normal form, in which the last state variable was assumed to be not measurable, has been derived. The aim of the present paper is to exploit the on-line approximate availability of the equivalent control, obtained by means of a suitable filtering procedure, in order to improve the accuracy and to reduce the amplitude of the discontinuous control effort. As a result, the actual control has two components: the first one is continuous, while the second one is discontinuous with arbitrarily-small magnitude. Simulation results are provided to show the effectiveness of the proposed scheme.