Novel atom-based molecular descriptors based on a bilinear map similar to use defined in linear algebra are presented. These molecular descriptors, called “local (atom, group and atom-type) and total (global) bilinear indices”, are proposed here as a new molecular parametrization easily calculated from the 2D molecular information. The proposed non-stochastic and stochastic molecular fingerprin...

The paper deals with the realization theory of bilinear hybrid systems, i.e. hybrid systems with continuous dynamics determined by bilinear control systems. We will formulate necessary and sufficient conditions for the existence of a bilinear hybrid system realizing a set of specified input/output maps. We will also present a characterization of a minimal bilinear hybrid realization and a proce...

fiber metal laminates (fmls) are new composite materials consisting of thin metal layers and high strength composite layers. arall (aramid aluminum laminate) is a family of the fml that consists of thin aluminum sheets along with kevlar/epoxy composite layers. this material has many advantages such as light weight, excellent corrosion, fatigue and impact resistance. since, arall is a new materi...

We introduce a kind of bilinear differential equations by generalizing Hirota bilinear operators, and explore when the linear superposition principle can apply to the resulting generalized bilinear differential equations. Together with an algorithm using weights, two examples of generalized bilinear differential equations are computed to shed light on the presented general scheme for constructi...

Texture mapping is a fundamental feature of computer graphics image generation. In current PC based acceleration hardware, MIP-mapping with bilinear and trilinear filtering are commonly used filtering techniques for reducing spatial aliasing artifacts. The effectiveness of these techniques in reducing image aliasing at the expense of blurring is dependent upon the MIP-map level selection and th...

A proxy signature scheme is useful and convenient because it allows a proxy signer to sign a message on behalf of an entity. This study proposes a novel efficient proxy signature scheme for mobile devices using bilinear pairings. The computational cost of the proposed signature scheme is extremely low, and the length of the proposed signature is limited. In addition, our scheme does not require...

Face recognition is an important area of research in cognitive science and machine learning. This is the first paper utilizing deep learning techniques to model human’s attention for face recognition. In our attention model based on bilinear deep belief network (DBDN), the discriminant information is maximized in a frame of simulating the human visual cortex and human’s perception. Comparative ...

The question whether there exist verifiable random functions with exponential-sized input space and full adaptive security based on a non-interactive, constant-size assumption is a longstanding open problem. We construct the first verifiable random functions which achieve all these properties simultaneously. Our construction can securely be instantiated in groups with symmetric bilinear map, ba...

We give a simple and efficient construction of unique signature on groups equipped with bilinear map. In contrast to prior works, our proof of security is based on computational Diffie-Hellman problem in the random oracle model. Meanwhile, the resulting signature consists of only one group element. Due to its simplicity, security and efficiency, our scheme is suitable for those situations that ...