Precipitation is the main source of fresh water in cycle. Climate change, because global warming and consequent change cycle, a security issue. It would significantly influence food security. Disasters such as floods droughts lead to an adverse effect on economy, peace, geo-political situation around world. In present study, precipitation patterns at Gwadar port quantified context climate since...

We construct an Identity-Based Key Encapsulation Mechanism (IBKEM) in a generic “leveled” multilinear map setting and prove its security under multilinear decisional Diffie-Hellmanin assumption in the selective-ID model. Then, we make our IB-KEM translated to the GGH framework, which defined an “approximate” version of a multilinear group family from ideal lattices, and modify our proof of secu...

We consider new complexity measures for the model of multilinear circuits with general multilinear gates introduced by Goldreich and Wigderson (ECCC, 2013). These complexity measures are related to the size of canonical constant-depth Boolean circuits, which extend the definition of canonical depth-three Boolean circuits. We obtain matching lower and upper bound on the size of canonical constan...

Embedded feature selection is effective when both prediction and interpretation are needed. The Lasso and its extensions are standard methods for selecting a subset of features while optimizing a prediction function. In this paper, we are interested in embedded feature selection for multidimensional data, wherein (1) there is no need to reshape the multidimensional data into vectors and (2) str...

The head-related transfer function (HRTF) captures most of the auditory cues used to discern sound source direction and therefore is essential for synthesizing convincing spatial audio. HRTFs are, however, difficult to measure and highly person-specific. This has created significant interest in alternative methods for generating custom HRTFs. We present a multilinear modeling framework for HRTF...

In this paper, we exploit the advantages of tensor representations and propose a Supervised Multilinear Learning Model for regression. The model is based on the Canonical (CANDECOMP)/Parallel Factors (PARAFAC) decomposition of tensors of multiple modes and allows the simultaneous projection of an input tensor to more than one discriminative directions along each mode. These projection weights a...

A systematic treatment of multilinear Calderón-Zygmund operators is presented. The theory developed includes strong type and endpoint weak type estimates, interpolation, the multilinear T1 theorem, and a variety of results regarding multilinear multiplier operators.

In 1983, A. Pietsch [20] presented his “designs of a theory” for ideals of multilinear forms. This work provided a general framework from which different lines of investigation developed. Some ideals of multilinear forms appeared as the multilinear natural extension of ideals of linear operators (e.g., nuclear and integral multilinear forms). However, it is not always clear what the multilinear...

We introduce a general definition of almost p-summing mappings and give several concrete examples of such mappings. Some known results are considerably generalized and we present various situations in which the space of almost p-summing multilinear mappings coincides with the whole space of continuous multilinear mappings.