9 citations · 21 across the 8 of their papers we have counts for
8 papers
Signal Processing Structures for Solving Conservative Constraint Satisfaction Problems
Tarek A. Lahlou, Thomas A. Baran
This primary purpose of this paper is to succinctly state a number of verifiable and tractable sufficient conditions under which a particular class of conservative signal processin…
Web Services for Asynchronous, Distributed Optimization Using Conservative Signal Processing
Tarek A. Lahlou, Thomas A. Baran
This paper presents a systematic approach for implementing a class of nonlinear signal processing systems as a distributed web service, which in turn is used to solve optimization…
Transient Signal Spaces and Decompositions
Tarek A. Lahlou, Anuran Makur
In this paper, we study the problem of transient signal analysis. A signal-dependent algorithm is proposed which sequentially identifies the countable sets of decay rates and expan…
Trading Accuracy for Numerical Stability: Orthogonalization, Biorthogonalization and Regularization
Tarek A. Lahlou, Alan V. Oppenheim
This paper presents two novel regularization methods motivated in part by the geometric significance of biorthogonal bases in signal processing applications. These methods, in part…
Asynchronous Algorithms for Solving Linear Programs
Tarek A. Lahlou, Thomas A. Baran
In this paper we design and analyze algorithms for asynchronously solving linear programs using nonlinear signal processing structures. In particular, we discuss a general procedur…
Unveiling The Tree: A Convex Framework for Sparse Problems
Tarek A. Lahlou, Alan V. Oppenheim
This paper presents a general framework for generating greedy algorithms for solving convex constraint satisfaction problems for sparse solutions by mapping the satisfaction proble…
Conservative Signal Processing Architectures For Asynchronous, Distributed Optimization Part II: Example Systems
Thomas A. Baran, Tarek A. Lahlou
This paper provides examples of various synchronous and asynchronous signal processing systems for performing optimization, utilizing the framework and elements developed in a prec…
Conservative Signal Processing Architectures For Asynchronous, Distributed Optimization Part I: General Framework
Thomas A. Baran, Tarek A. Lahlou
This paper presents a framework for designing a class of distributed, asynchronous optimization algorithms, realized as signal processing architectures utilizing various conservati…