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Electronic Colloquium on Computational Complexity

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TR17-087 | 9th May 2017
Pushkar Joglekar, Raghavendra Rao B V, Sidhartha Sivakumar

On Weak-Space Complexity over Complex Numbers

Defining a feasible notion of space over the Blum-Shub-Smale (BSS) model of algebraic computation is a long standing open problem. In an attempt to define a right notion of space complexity for the BSS model, Naurois [CiE, 2007] introduced the notion of weak-space. We investigate the weak-space bounded computations and ... more >>>


TR17-086 | 9th May 2017
C Ramya, Raghavendra Rao B V

Linear Projections of the Vandermonde Polynomial

Revisions: 1

An n-variate Vandermonde polynomial is the determinant of the n × n matrix where the ith column is the vector (1, x_i , x_i^2 , . . . , x_i^{n-1})^T. Vandermonde polynomials play a crucial role in the in the theory of alternating polynomials and occur in Lagrangian polynomial interpolation ... more >>>


TR17-085 | 4th May 2017
Daniel Kane, Shachar Lovett, Shay Moran, Jiapeng Zhang

Active classification with comparison queries

We study an extension of active learning in which the learning algorithm may ask the annotator to compare the distances of two examples from the boundary of their label-class. For example, in a recommendation system application (say for restaurants), the annotator may be asked whether she liked or disliked a ... more >>>



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ISSN 1433-8092 | Imprint