7 papers
Binary Deterministic Sensing Matrix Construction Using Manifold Optimization
Mohamad Mahdi Mohades, Hossein Mohades, S. Fatemeh Zamanian
Binary deterministic sensing matrices are highly desirable for sampling sparse signals, as they require only a small number of sum-operations to generate the measurement vector. Fu…
Riemannian Trust Region Method for Haplotype Assembly
Mohamad Mahdi Mohades, Mohammad Hossein Kahaei
In this letter we model the Haplotype assembly problem (HAP) as a maximization problem over an -dimensional sphere. Due to nonconvexity of the feasible set, we propose a man…
Haplotype Assembly Using Manifold Optimization and Error Correction Mechanism
Mohamad Mahdi Mohades, Sina Majidian, Mohammad Hossein Kahaei
Recent matrix completion based methods have not been able to properly model the Haplotype Assembly Problem (HAP) for noisy observations. To cope with such a case, in this letter we…
Matrix Completion with Side Information using Manifold Optimization
Mohamad Mahdi Mohades, Mohammad Hossein Kahaei
We solve the Matrix Completion (MC) problem based on manifold optimization by incorporating the side information under which the columns of the intended matrix are drawn from a uni…
Matrix Completion with Weighted Constraint for Haplotype Estimation
Sina Majidian, M. Mohades, M. H. Kahaei
A new optimization design is proposed for matrix completion by weighting the measurements and deriving the corresponding error bound. Accordingly, the Haplotype reconstruction usin…
Application of Lowner-John Ellipsoid in the Steganography of Lattice Vectors and a Review of The Gentry's FHE
Hossein Mohades, Mohamad Kadkhoda, Mohamad Mahdi Mohades
In this paper, first, we utilize the Lowner-John ellipsoid of a convex set to hide the lattice data information. We also describe the algorithm of information recovery in polynomia…