Results 51 to 60 of about 185,457 (163)

Noisy tensor completion via the sum-of-squares hierarchy. [PDF]

Math Program, 2022
Barak B, Moitra A.
europepmc   +1 more source

Sparse Regularization With Reverse Sorted Sum of Squares via an Unrolled Difference-of-Convex Approach

IEEE Open Journal of Signal Processing
This paper proposes a sparse regularization method with a novel sorted regularization function. Sparse regularization is commonly used to solve underdetermined inverse problems.
Takayuki Sasaki, Kazuya Hayase, Masaki Kitahara, Shunsuke Ono   +3 more
doaj   +1 more source

On sums of squares

Linear Algebra and its Applications, 1978
AbstractWe show that the fourth order form in five variables, ∑i=15∏i=≠i(xi−xi), is nonnegative, but cannot be written as a sum of squares of quadratic forms.
Lax, Anneli, Lax, Peter D.
openaire   +2 more sources

A Heuristic Method for Certifying Isolated Zeros of Polynomial Systems

Mathematics, 2018
In this paper, by transforming the given over-determined system into a square system, we prove a necessary and sufficient condition to certify the simple real zeros of the over-determined system by certifying the simple real zeros of the square system ...
Xiaojie Dou, Jin-San Cheng
doaj   +1 more source

On leap Zagreb indices of graphs

Communications in Combinatorics and Optimization, 2017
The first and second Zagreb indices of a graph are equal‎, ‎respectively‎, ‎to‎ ‎the sum of squares of the vertex degrees‎, ‎and the sum of the products of‎ ‎the degrees of pairs of adjacent vertices‎.
A.M‎. ‎Naji, N.D‎. ‎Soner, ‎Ivan Gutman   +2 more
doaj   +1 more source

Sums of squares over totally real fields are rational sums of squares [PDF]

Proceedings of the American Mathematical Society, 2008
10 pages, final version to appear in Proceedings of the ...
openaire   +3 more sources

Sum of Squares Circuits

Proceedings of the AAAI Conference on Artificial Intelligence
Designing expressive generative models that support exact and efficient inference is a core question in probabilistic ML. Probabilistic circuits (PCs) offer a framework where this tractability-vs-expressiveness trade-off can be analyzed theoretically. Recently, squared PCs encoding subtractive mixtures via negative parameters have emerged as tractable ...
Loconte, Lorenzo, Mengel, Stefan, Vergari, Antonio   +2 more
openaire   +2 more sources

Development of regional stem taper models for some important tree species of Turkey: Case study of Bucak

Turkish Journal of Forestry, 2019
Compatible stem taper and volume models were developed for Brutian pine (Pinus brutia Ten.), Cedar of Lebanon (Cedrus libani A. Rich.), and Cilicica fir (Abies cilicica Carr.) in Bucak forest region of Southern Turkey.
Onur ALKAN, Ramazan OZÇELİK, Hasan ALKAN   +2 more
doaj   +1 more source

High-Performance Hybrid Algorithm for Minimum Sum-of-Squares Clustering of Infinitely Tall Data

Mathematics
This paper introduces a novel formulation of the clustering problem, namely, the minimum sum-of-squares clustering of infinitely tall data (MSSC-ITD), and presents HPClust, an innovative set of hybrid parallel approaches for its effective solution.
Ravil Mussabayev, Rustam Mussabayev
doaj   +1 more source

Component Analysis When Testing for Fixed Effects in Unbalanced ANOVAs

Stats
In possibly unbalanced fixed effects in ANOVAs, we examine both parametric and nonparametric tests for main and two-way interaction effects when the levels of each factor may be ordered or unordered.
J. C. W. Rayner, G. C. Livingston
doaj   +1 more source