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Polar Codes: Characterization of Exponent, Bounds, and Constructions

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Approximate Matrix Multiplication with Application to Linear Embeddings

Michail Vlachos, Anastasios Kyrillidis

In this paper, we study the problem of approximately computing the product of two real matrices. In particular, we analyze a dimensionality-reduction-based approximation algorithm due to Sarlos [1], introducing the notion of nuclear rank as the ratio of th ...

Ieee2014

Block-Floating-Point Enhanced MMSE Filter Matrix Computation for MIMO-OFDM Communication Systems

Andreas Peter Burg, Carl Christian Sten Dominic Senning

n this paper we present an architecture for an MMSE ﬁlter matrix computation unit for signal detection in MIMO-OFDM communication systems. We propose to compute the required matrix inverse based on a Cholesky decomposition, followed by a Gauss-Jordan matri ...

2013

Low-Rank Matrix Completion By Riemannian Optimization

The matrix completion problem consists of finding or approximating a low-rank matrix based on a few samples of this matrix. We propose a new algorithm for matrix completion that minimizes the least-square distance on the sampling set over the Riemannian ma ...

Siam Publications2013

Colourful FKS subtraction

I formulate in a colour-friendly way the FKS method for the computation of QCD cross sections at the next-to-leading order accuracy. This is achieved through the definition of subtraction terms for squared matrix elements, constructed with single colour-dr ...

2011

Tg-aprotinin fusion proteins and matrices thereof

Peter Frey, Jeffrey Alan Hubbell, Kristen Lorentz

Fusion proteins containing a first domain and a second domain, where the first domain contains a crosslinkable substrate domain and the second domain contains a fibrinolysis inhibitor, are provided. In a preferred embodiment, the fibrinolysis inhibitor is ...

2011

Polar Codes: Characterization of Exponent, Bounds, and Constructions

Rüdiger Urbanke, Satish Babu Korada, Eren Sasoglu

Polar codes were recently introduced by Arikan. They achieve the capacity of arbitrary symmetric binary-input discrete memoryless channels under a low complexity successive cancellation decoding strategy. The original polar code construction is closely rel ...

2010

The role of sulfated metabolites in the wound response of siphonous green algae

Matthew Anthony Welling

The giant unicellular macroalgae exhibit an extraordinary wound repair mechanism. The rapid assimilation of cellular contents into an insoluble wound plug prevents detrimental cytoplasmic loss and limits the intrusion of extracellular components which coul ...

EPFL2010

Polar codes: Characterization of exponent, bounds, and constructions

Rüdiger Urbanke, Satish Babu Korada, Eren Sasoglu

Polar codes were recently introduced by Arikan. They achieve the symmetric capacity of arbitrary binary-input discrete memoryless channels under a low complexity successive cancellation decoding strategy. The original polar code construction is closely rel ...

Ieee Service Center, 445 Hoes Lane, Po Box 1331, Piscataway, Nj 08855-1331 Usa2009

Structured Hölder condition numbers for multiple eigenvalues

Daniel Kressner

The sensitivity of a multiple eigenvalue of a matrix under perturbations can be measured by its Hölder condition number. Various extensions of this concept are considered. A meaningful notion of structured Hölder condition numbers is introduced, and it is ...

Society for Industrial and Applied Mathematics2009

Formalisms for Specifying Markovian Population Models

Barbara Jobstmann, Verena Wolf

We compare several languages for specifying Markovian population models such as queuing networks and chemical reaction networks. These languages -matrix descriptions, stochastic Petri nets, stoichiometric equations, stochastic process algebras, and guarded ...

Springer-Verlag New York, Ms Ingrid Cunningham, 175 Fifth Ave, New York, Ny 10010 Usa2009