Felipe Voloch Value sets of sparse polynomials (NTWS 011) 40:47 James Maynard Primes in arithmetic progressions to large moduli (NTWS 018) 55:53 Kannan Soundararajan Equidistribution from the Chinese Remainder Theorem (NTWS 0 50:52 14 01:03:38 René Schoof Abelian varieties over Q(sqr...
40 On sums of coefficients of polynomials related to the Borwein conjectures 34:40 On the Hardy Littlewood 3-tuple prime conjecture and convolutions of Ramanujan s 44:48 Quantitative estimates for the size of an intersection of sparse automatic sets 41:09 A new explicit bound for the Riemann ...
for some ambient dimension , and some finite number of polynomials . In order to reduce the number of subscripts later on, let us say that has complexity at most if , , and the degrees of the are all less than or equal to . Note that we do not require at this stage that be irredu...
Finally, in Ramabathiran and Ramachandran [148] a Sparse, Physics-based, and partially Interpretable Neural Networks (SPINN) is proposed. The authors suggest a sparse architecture, using kernel networks, that yields interpretable results while requiring fewer parameters than fully connected solutions. T...
(which is ultimately to do with separation properties of Farey sequences), we can show that this implies that these polynomials (which exert influence over intervals ) can “infect” longer intervals with some new polynomials and various , which are related to many of the previous polynomials ...
4.3. Sparse maps We demonstrate the above approach to switch from the dense function space representation to that of sparse maps. This exploits the fact that many partial derivatives of sub-expressions are zero. Indeed, if a variable x does not occur in an expression e, the partial derivative...
12.scipy.sparseSparse matrices and associated routines. 13.scipy.spatialSpatial data structures and algorithms. 14.scipy.specialSpecial Function. 15.scipy.statsStatistics. 16.scipy.weavesIt is a tool for writing. SciPy Cluster Clustering is the task of dividing the population or data points into a...
We design a sublinear Fourier sampling algorithm for a case of sparse off-grid frequency recovery. These are signals with the form f(t)=∑ j=1 k a j e iω j t +ν ^,t∈; i.e., exponential polynomials with a noise term. The frequencies ω j satisfy ω j ∈[η,2π-η] and...
Maple 15 introduces a further significant enhancement for multiplication, division and powering of large, dense polynomials, yielding speedups of a factor of four or more. Polynomial manipulations are faster in Maple 15 more... Sparse Matrices Many operations for numeric sparse matrices are ...
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