Given a set of multilinearly distributed data, our submission proposes an approach that produces a high-quality registration along with an improved multilinear model. This appendix provides more details on how the objective function that measures model quality depending on correspondences is optimized in Section 1. Further, the computational complexities of the multilinear method and existing l...

In this paper, we prove the sharp function inequality for the multilinear commutator related to the singular integral operator with variable Calderón-Zygmund kernel. By using the sharp inequality, we obtain the Lnorm inequality for the multilinear commutator. 2000 Mathematics Subject Classification: 42B20, 42B25.

An arithmetic read-once formula (ROF) is a formula (circuit of fan-out 1) over +,× where each variable labels at most one leaf. Every multilinear polynomial can be expressed as the sum of ROFs. In this work, we prove, for certain multilinear polynomials, a tight lower bound on the number of summands in such an expression.

We describe a cryptanalysis of the GGH15 multilinear maps. Our attack breaks the multipartite key-agreement protocol in polynomial time by generating an equivalent user private key; it also applies to GGH15 with safeguards. We also describe attacks against variants of the GGH13 multilinear maps proposed by Halevi (ePrint 2015/866) aiming at supporting graph-induced constraints, as in GGH15.

Due to the prospects for financial gain, forex is always attractive many people. However, because market analysis not simple, a computer needed assist in creating predictions using features that are understandable This study employs Multilinear Regression technique identify these kinds of features. The and prediction target have very strong correlation. With low RMSE high R square, quality quit...

We use multilinear maps to provide a solution to the long-standing problem of public-key broadcast encryption where all parameters in the system are small. In our constructions, ciphertext overhead, private key size, and public key size are all poly-logarithmic in the total number of users. The systems are fully collusion-resistant against any number of colluders. All our systems are based on a...

Two versions of Rubio de Francia’s extrapolation theorem for multivariable operators of functions are obtained. One version assumes an initial estimate with different weights in each space and implies boundedness on all products of Lebesgue spaces. Another version assumes an initial estimate with the same weight but yields boundedness on a product of Lebesgue spaces whose indices lie on a line....

This study aims to integrate multisource data model the relative soil moisture (RSM) over Chinese Loess Plateau in 2017 by stepwise multilinear regression (SMLR) order improve spatial coverage of our previously published RSM. First, 34 candidate variables (12 quantitative and 22 dummy variables) from Moderate Resolution Imaging Spectroradiometer (MODIS) topographic, properties, meteorological w...