Search Results - "Afsari, Bijan"

Riemannian $L^{p}$ center of mass: Existence, uniqueness, and convexity by Afsari, Bijan

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Approximate joint diagonalization and geometric mean of symmetric positive definite matrices by Congedo, Marco, Afsari, Bijan, Barachant, Alexandre, Moakher, Maher

“…We explore the connection between two problems that have arisen independently in the signal processing and related fields: the estimation of the geometric mean…”
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Bundle Reduction and the Alignment Distance on Spaces of State-Space LTI Systems by Afsari, Bijan, Vidal, Rene

“…This paper introduces a large class of differential-geometric distances between finite-dimensional linear dynamical systems, collectively called the alignment…”
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Riemannian Consensus for Manifolds With Bounded Curvature by Tron, R., Afsari, B., Vidal, R.

“…Consensus algorithms are popular distributed algorithms for computing aggregate quantities, such as averages, in ad-hoc wireless networks. However, existing…”
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RIEMANNIAN LpCENTER OF MASS: EXISTENCE, UNIQUENESS, AND CONVEXITY by AFSARI, BIJAN

“…Let M be a complete Riemannian manifold and ν a probability measure on M. Assume 1 ≤ p ≤ ∞. We derive a new bound (in terms of p, the injectivity radius of M…”
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RIEMANNIAN LP CENTER OF MASS: EXISTENCE, UNIQUENESS, AND CONVEXITY by AFSARI, Bijan

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A Computational Modeling of Macromolecular Ensemble Conformation and Blurring in Cryo EM by Afsari, Bijan, Kim, Jin Seob, Chirikjian, Gregory

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Cross-Validation of Data Compatibility Between Small Angle X-ray Scattering and Cryo-Electron Microscopy by Kim, Jin Seob, Afsari, Bijan, Chirikjian, Gregory S

“…Cryo-electron microscopy (EM) and small angle X-ray scattering (SAXS) are two different data acquisition modalities often used to glean information about the…”
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A Computational Modeling of Macromolecular Assemblies in SAXS by Kim, Jin Seob, Afsari, Bijan, Chirikjian, Gregory S.

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Group action induced distances for averaging and clustering Linear Dynamical Systems with applications to the analysis of dynamic scenes by Afsari, B., Chaudhry, R., Ravichandran, A., Vidal, R.

“…We introduce a framework for defining a distance on the (non-Euclidean) space of Linear Dynamical Systems (LDSs). The proposed distance is induced by the…”
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What Can Make Joint Diagonalization Difficult? by Afsari, B.

“…We show that the issues of uniqueness and noise sensitivity in the problem of matrix joint diagonalization are closely related. We address other factors…”
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Estimation of non-negative ODFs using the eigenvalue distribution of spherical functions by Schwab, Evan, Afsari, Bijan, Vidal, René

“…Current methods in high angular resolution diffusion imaging (HARDI) estimate the probability density function of water diffusion as a continuous-valued…”
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Rotation invariant features for HARDI by Schwab, Evan, Cetingül, H Ertan, Afsari, Bijan, Vidal, René

“…Reducing the amount of information stored in diffusion MRI (dMRI) data to a set of meaningful and representative scalar values is a goal of much interest in…”
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Intrinsic consensus on SO(3) with almost-global convergence by Tron, Roberto, Afsari, Bijan, Vidal, Rene

“…In this paper we propose a discrete time protocol to align the states of a network of agents evolving in the space of rotations SO(3). The starting point of…”
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Group action induced averaging for HARDI processing by Cetingul, H. E., Afsari, B., Wright, M. J., Thompson, P. M., Vidal, R.

“…We consider the problem of processing high angular resolution diffusion images described by orientation distribution functions (ODFs). Prior work showed that…”
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Means and averaging on Riemannian manifolds by Afsari, Bijan

“…Processing of manifold-valued data has received considerable attention in recent years. Standard data processing methods are not adequate for such data. Among…”
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Model order reduction for discrete-time LTI systems using the alignment distance by Afsari, Bijan, Vidal, Rene

“…The alignment distance is a recently introduced (differential-geometric) distance on the manifold of LTI systems of fixed order n and output-input dimension…”
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An algebraic solution to rotation recovery in HARDI from correspondences of orientation distribution functions by Cetingul, H. E., Afsari, B., Vidal, R.

“…We consider the problem of aligning high angular resolution diffusion images characterized by orientation distribution functions (ODFs). We cast this problem…”
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Gradient flow-based matrix joint diagonalization for independent component analysis by Afsari, Bijan

“…In this thesis, employing the theory of matrix Lie groups, we develop gradient based flows for the problem of Simultaneous or Joint Diagonalization (JD) of a…”
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The alignment distance on Spaces of Linear Dynamical Systems by Afsari, Bijan, Vidal, Rene

“…We introduce a family of group action induced distances on spaces of Linear Dynamical Systems (LDSs) of fixed size and order. The distance between two LDSs is…”
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