Perfect-reconstruction filter banks, wavelets, and multiresolution analysis have generated many new results in harmonic analysis and function theory. Traditionally, these techniques are based on families of convolutions and decimation/interpolation operations. When viewed as linear-algebraic operations, those building blocks can be generalized to unitary operators and related projections. We ha...

The loach (Misgurnus anguillicaudatus) is an excellent animal model to elucidate biological origin and evolutionary significance of genome duplication and unisexual reproduction because artificially induced and naturally occurring polyploids and parthenogenetic (gynogenetic, androgenetic) animals can be compared. First, we summarize the chromosome manipulation techniques to induce triploids and...

Lin and Tessaro (Eprint 2017/250) recently proposed indistinguishability obfuscation and functional encryption candidates and proved their security based on a standard assumption on bilinear maps and a non-standard assumption on “Goldreich-like” pseudorandom generators (PRG). In a nutshell, they require the existence of pseudo-random generatorsG : Σ → {0, 1}m for some poly(n)-size alphabet Σ wh...

Collision resistant hash functions are functions that shrink their input, but for which it is computationally infeasible to find a collision, namely two strings that hash to the same value (although collisions are abundant). In this work we study multi-collision resistant hash functions (MCRH) a natural relaxation of collision resistant hash functions in which it is difficult to find a t-way co...

An important task of multidatabase systems is the integration of existing databases. Database Integration is achieved primarily through the use of generalization. Hence, it is important to develop good tactics for processing queries over generalization hierarchies. This paper defines the class of conjunctive generalization queries, and it describes four tactics for processing those queries that...