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Related publications (29)
The multivariate Serre conjecture ring
It is well-known that for any integral domain R, the Serre conjecture ring R(X), i.e., the localization of the univariate polynomial ring R[X] at monic polynomials, is a Bezout domain of Krull dimension
San Diego2023A fast algorithm to find reduced hyperplane unit cells and solve N-dimensional Bezout's identities
Deformation twinning on a plane is a simple shear that transforms a unit cell attached to the plane into another unit cell equivalent by mirror symmetry or 180 degrees rotation. Thus, crystallographic models of twinning require the determination of the sho ...
INT UNION CRYSTALLOGRAPHY2021Structure of multicorrelation sequences with integer part polynomial iterates along primes
Let T be a measure-preserving Zℓ-action on the probability space (X,B,μ), let q1,…,qm:R→Rℓ be vector polynomials, and let f0,…,fm∈L∞(X). For any ϵ>0 and multicorrelation sequences of the form α(n)=∫Xf0⋅T⌊q1(n)⌋f1⋯T⌊qm(n)⌋fmdμ we show that there exis ...
2021Strictly Real Fundamental Theorem Of Algebra Using Polynomial Interlacing
Without resorting to complex numbers or any advanced topological arguments, we show that any real polynomial of degree greater than two always has a real quadratic polynomial factor, which is equivalent to the fundamental theorem of algebra. The proof uses ...
CAMBRIDGE UNIV PRESS2021Sublinear Algorithms for Spectral Graph Clustering
This thesis focuses on designing spectral tools for graph clustering in sublinear time. With the emergence of big data, many traditional polynomial time, and even linear time algorithms have become prohibitively expensive. Processing modern datasets requir ...
EPFL2021SVR-AMA: An Asynchronous Alternating Minimization Algorithm With Variance Reduction for Model Predictive Control Applications
This paper focuses on the design of an asynchronous dual solver suitable for model predictive control (MPC) applications. The proposed solver relies on a state-of-the-art variance reduction (VR) scheme, previously used in the context of proximal stochastic ...
IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC2019Design and Implementation of a Neural Network Based Predistorter for Enhanced Mobile Broadband
Alexios Konstantinos Balatsoukas Stimming
Digital predistortion is the process of using digital signal processing to correct nonlinearities caused by the analog RF front-end of a wireless transmitter. These nonlinearities contribute to adjacent channel leakage, degrade the error vector magnitude o ...
IEEE2019Discrete least-squares approximations over optimized downward closed polynomial spaces in arbitrary dimension
Fabio Nobile, Giovanni Migliorati
We analyze the accuracy of the discrete least-squares approximation of a function in multivariate polynomial spaces with over the domain , based on the s ...
2017