Robots used for tasks in space have strict requirements. Modular reconfigurable robots have a variety of attributes that are advantageous for these conditions including the ability to serve as many tools at once saving weight, packing into compressed forms saving space and having large redundancy to increase robustness. Self-reconfigurable systems can also self-repair as well as automatically a...

A new scheme of probabilistic subgroup-related encryption is introduced. Some applications of this scheme based on the RSA, Diffie-Hellman and ElGamal encryption algorithms are described. Security assumptions and main advantages of this scheme are discussed. We outline that this scheme is potentially semantically secure under reasonable cryptographic assumptions. 1. Some algorithmic problems fo...

This paper investigates a novel computational problem, namely the Composite Residuosity Class Problem, and its applications to public-key cryptography. We propose a new trapdoor mechanism and derive from this technique three encryption schemes: a trapdoor permutation and two homomorphic probabilistic encryption schemes computationally comparable to RSA. Our cryptosystems, based on usual modular...

This project proposal applies to the statistical and machine learning models used in speech and language research. It aims to develop a more general theoretical framework for the use of state-space models in speech and language, and to expand the set of models currently used in these fields. Probabilistic Models State-Space Models Generalized SSMs Nonlinear SSMs Bayesian Learning Inferring Traj...

Let p be a prime number. It’s well known that classical modular Hecke eigenforms can satisfy nontrivial congruence relations modulo powers of p; for example the standard Eisenstein seriesEk satisfiesEp−1 = 1 (mod p), and more generally E(p−1)pr = 1 (mod p) for all integers r ≥ 0. We’d like to construct some kind of p-adic space of modular forms in which this really represents a limiting process...

The prime number decomposition of a finite dimensional Hilbert space reflects itself in the representations that the space accommodates. The representations appear in conjugate pairs for factorization to two relative prime factors which can be viewed as two distinct degrees freedom. These, Schwinger’s quantum degrees of freedom, are uniquely related to a von Neumann lattices in the phase space ...