Results 51 to 60 of about 1,163,681 (226)

List Decodable Learning via Sum of Squares [PDF]

ACM-SIAM Symposium on Discrete Algorithms, 2019
In the list-decodable learning setup, an overwhelming majority (say a $1-\beta$-fraction) of the input data consists of outliers and the goal of an algorithm is to output a small list $\mathcal{L}$ of hypotheses such that one of them agrees with inliers.
P. Raghavendra, Morris Yau
semanticscholar   +1 more source

The Pythagoras number and the $u$-invariant of Laurent series fields in several variables

, 2015
We show that every sum of squares in the three-variable Laurent series field $\mathbb{R}((x,y,z))$ is a sum of 4 squares, as was conjectured in a paper of Choi, Dai, Lam and Reznick in the 1980's.
Hu, Yong
core   +1 more source

Sum of squares in discrete physical spaces

Revista Brasileira de Ensino de Física
Discretization of three-dimensional physical spaces can induce, on observable physical quantities, effects which are not present in the continuum. Consider, as an example, the problem of the radiation spectrum of a blackbody, studied in introductory ...
R. De Luca
doaj   +1 more source

A study on the sum of the squares of generalized Balancing numbers: the sum formula $\sum_{k=0}^{n}x^{k}W_{mk+j}^{2}$

Journal of Innovative Applied Mathematics and Computational Sciences, 2021
In this paper, closed forms of the sum formulas $\sum_{k=0}^{n}x^{k}W_{mk+j}^{2}$ for generalized balancing numbers are presented. As special cases, we give sum formulas of balancing, modified Lucas-balancing and Lucas-balancing numbers.
Yüksel Soykan, Erkan Taşdemir, Can Murat Dikmen   +2 more
doaj  

MODULAR SUMS OF SQUARES

Revista de la Academia Colombiana de Ciencias Exactas, Físicas y Naturales
Se calcula el número de soluciones en [K[X]/(p(X)]s = L3 ; de las ecuaciones Qr(t1, . . . , ts) = α 1(zr)t 2/1 + ... + α ,( zr )t2/s = β(zr), de coeficientes en Lr  y se calcula la correspondiente serie de Poincaré.
Acosta Solarte, Pablo A., Albis, Víctor S.   +1 more
openaire   +2 more sources

A Method for Broken Rotor Bars Diagnosis Based on Sum-Of-Squares of Current Signals

Applied Sciences, 2020
Induction motors are mainstay power components in industrial equipment. Fault diagnosis technology of induction motors can detect the incipient fault and avoid the unplanned shutdown.
Jiageng Chen, Niaoqing Hu, Lun Zhang, Ling Chen, Bozheng Wang, Yang Zhou   +5 more
doaj   +1 more source

Mixture models, robustness, and sum of squares proofs [PDF]

Symposium on the Theory of Computing, 2017
We use the Sum of Squares method to develop new efficient algorithms for learning well-separated mixtures of Gaussians and robust mean estimation, both in high dimensions, that substantially improve upon the statistical guarantees achieved by previous ...
Samuel B. Hopkins, Jerry Li
semanticscholar   +1 more source

ON SUMS OF THREE SQUARES [PDF]

International Journal of Number Theory, 2005
Let r3(n) be the number of representations of a positive integer n as a sum of three squares of integers. We give two alternative proofs of a conjecture of Wagon concerning the asymptotic value of the mean square of r3(n).
Choi, Stephen, Kumchev, Angel, Osburn, Robert   +2 more
openaire   +6 more sources

From combinatorial optimization to real algebraic geometry and back

Croatian Operational Research Review, 2014
In this paper, we explain the relations between combinatorial optimization and real algebraic geometry with a special focus to the quadratic assignment problem.
Janez Povh
doaj   +1 more source

Sums of Three Squareful Numbers [PDF]

Experimental Mathematics, 2012
We investigate the frequency of positive squareful numbers x,y,z for which x+y=z.
Browning, T. D., Van Valckenborgh, K.
openaire   +3 more sources