Deterministic and probabilistic discrepancies

Deterministic and probabilistic discrepancies

In this paper, we compare some deterministic and probabilistic techniques in the study of upper bounds in problems related to certain mean square discrepancie with respect to balls in the d-dimensional unit torus, and show that the quality of these techniques depends in an intricate way on the dimension d under consideration.

Probabilistic and Deterministic Crypto Analysis

In Network Security various attacks have been identified at different stages of intrusion and attempts. Security measures are designed for overcoming individual attacks. These attacks are random in nature and an attempt is made to the multi scale autoregressive model to combine all attempts to attack a network and to measure the total damage done to the machine or network.

Probabilistic Deterministic Infinite Automata

We propose a novel Bayesian nonparametric approach to learning with probabilistic deterministic finite automata (PDFA). We define and develop a sampler for a PDFA with an infinite number of states which we call the probabilistic deterministic infinite automata (PDIA). Posterior predictive inference in this model, given a finite training sequence, can be interpreted as averaging over multiple PD...

Probabilistic Deterministic Infinite Automata

We propose a novel Bayesian nonparametric approach to learning with probabilistic deterministic finite automata (PDFA). We define a PDFA with an infinite number of states (probabilistic deterministic infinite automata, or PDIA) and show how to average over its connectivity structure and state-specific emission distributions. Given a finite training sequence, posterior inference in the PDIA can ...

Probabilistic Crowding: Deterministic Crowding with Probabilistic Replacement