Distribution preserving quantization (DPQ) has been proposed as a lossy coding tool that yields superior quality over conventional quantization, when applied to perceptually relevant signals. DPQ aims at the optimal rate-distortion trade-off, subject to preserving the source probability distribution. In this article we investigate the optimal DPQ for stationary Gaussian processes and the mean s...

A recently developed technique for the system–and–bath quantization of open optical cavities is applied to three resonator geometries: A one dimensional dielectric, a Fabry–Perot resonator, and a dielectric disk. The system–and–bath Hamiltonian for these geometries is derived starting from Maxwell’s equations and employed to compute the electromagnetic fields, the resonances, and the cavity gai...

Canonical quantization (CQ) is built around [Q, P] = ih1l , while affine (AQ) [Q,D] ihQ, where D ≡ (PQ +QP) / 2 . The basic CQ operators must fit -∞ P, Q P ≠ 0 < ∞ AQ can also be the key to quantum gravity, as our simple outline demonstrates.

We propose a novel distance to calculate distance between high dimensional vector pairs, utilizing vector quantization generated encodings. Vector quantization based methods are successful in handling large scale high dimensional data. These methods compress vectors into short encodings, and allow efficient distance computation between an uncompressed vector and compressed dataset without decom...

The kinematic models for perturbed flames from [7, 6] are extended to account for flames with arbitrary cone angles and a burning velocity with non constant direction. This extension improves the description of the front close to the boundary and, consequently, the behaviour of the flame response to velocity perturbations. PACS: 43.28.Kt; 47.75.Pq; 02.60.Cb

Nearest Neighbor (NN) search in high dimension is an important feature in many applications (e.g., image retrieval, multimedia databases). Product Quantization (PQ) is a widely used solution which offers high performance, i.e., low response time while preserving a high accuracy. PQ represents high-dimensional vectors (e.g., image descriptors) by compact codes. Hence, very large databases can be...

[Abstract] Quantization problem in digital control system have attracted more and more attention in these years. Normally, a quantized variable is regarded as a perturbed copy of the unquantized variable in the research of quantization effect, but this model has shown many obvious disadvantages in control system analysis and design process. In this paper, we give a new model for quantization ba...

We present a numerical method for calculation of Ruelle-Pollicott resonances of dynamical systems. It constructs an effective coarse-grained propagator by considering the correlations of multiple observables over multiple timesteps. The method is compared to the usual approaches on the example of the perturbed cat map and is shown to be numerically efficient and robust. PACS numbers: 05.45.-a,9...

Background: Paraquat (PQ), an herbicide, is a very poisonous compound for both humans and animals. This study was conducted to examine the protective effect of the Coenzyme Q10 (CoQ10) in newborn rats from pregnant rats pre-treated with PQ. Methods: The experiments were conducted on 25 rats, divided in five groups randomly and equally: 1 - Control Group received normal saline (0.1ml/day); 2...

How well can one compress a dataset of points from a high-dimensional space while preserving pairwise distances? Indyk and Wagner have recently obtained almost optimal bounds for this problem, but their construction (based on hierarchical clustering) is not practical. In this talk, I will show a new practical, quadtree-based compression scheme, whose provable performance essentially matches tha...