Polynomial representations of threshold functions and algorithmic applications

J Alman, TM Chan, R Williams - 2016 IEEE 57th Annual …, 2016 - ieeexplore.ieee.org
We design new polynomials for representing threshold functions in three different regimes:
probabilistic polynomials of low degree, which need far less randomness than previous …

An amplitude-dependent autoregressive model based on a radial basis functions expansion

JM Vesin - 1993 IEEE International Conference on Acoustics …, 1993 - ieeexplore.ieee.org
The author presents a new type of nonlinear signal model which constitutes a natural
extension of the classical exponential autoregressive (EXPAR) model introduced by T. Ozaki …

[PDF][PDF] On the generating function of discrete Chebyshev polynomials

N Gogin, M Hirvensalo - Journal of Mathematical Sciences, 2017 - users.dimi.uniud.it
We give a closed form for the generating function of the discrete Chebyshev polynomials.
The closed form consists of the MacWilliams transform of Jacobi polynomials together with a …

[HTML][HTML] Detection and Estimation of Diffuse Signal Components Using the Periodogram

J Selva - Sensors, 2024 - mdpi.com
One basic limitation of using the periodogram as a frequency estimator is that any of its
significant peaks may result from a diffuse (or spread) frequency component rather than a …

Multidimensional Polynomial Phase Estimation

H Do, N Lee, A Lozano - arxiv preprint arxiv:2411.06885, 2024 - arxiv.org
An estimation method is presented for polynomial phase signals, ie, those adopting the form
of a complex exponential whose phase is polynomial in its indices. Transcending the scope …

Recurrent construction of MacWilliams and Chebyshev matrices

N Gogin, M Hirvensalo - Fundamenta Informaticae, 2012 - content.iospress.com
We give two recursive expressions for both MacWilliams and Chebyshev matrices. The
expressions give rise to simple recursive algorithms for constructing the matrices. In order to …

[PDF][PDF] Indexed bibliography of genetic algorithms in the Nordic and Baltic countries

JT Alander - 1994 - researchgate.net
An Indexed Bibliography of Genetic Algorithms in the Nordic and Baltic Countries Page 1 An
Indexed Bibliography of Genetic Algorithms in the Nordic and Baltic Countries compiled by …

Linear algebraic techniques in algorithms and complexity

J Alman - 2019 - dspace.mit.edu
Our main limitation result is that a large class of tensors generalizing the Coppersmith-
Winograd tensors (the family of tensors used in all record-holding algorithms for the past 30+ …

[PDF][PDF] An Indexed Bibliography of Genetic Algorithm Theses

JT Alander - 1994 - researchgate.net
An Indexed Bibliography of Genetic Algorithm Theses Page 1 An Indexed Bibliography of
Genetic Algorithm Theses compiled by Jarmo T. Alander Department of Electrical Engineering …

On self-dual bases of the extensions of the binary field

M Hirvensalo, J Lahtonen - Theory Is Forever: Essays Dedicated to Arto …, 2004 - Springer
There are at least two points of view when representing elements of \mathbbF_2^n, the field
of 2 n elements. We could represent the (nonzero) elements as powers of a generating …