This paper reports on the theory, design, and implementation of an artistic computer colleague that improvises and collaborates with human users in real-time. Our system, Drawing Apprentice, is based on existing theories of art, creative cognition, and collaboration synthesized into an enactive model of creativity. The implementation details of the Drawing Apprentice are provided along with ear...

We show that in a special class of theories the commonly assumed universal form of the soft supersymmetry–breaking terms is approached in the infra–red limit. The resulting universal scalar mass and trilinear coupling are predicted in terms of the gaugino mass.

In this paper, we show that the Garnier system in n-variables has affine Weyl group symmetry of type B (1) n+3. We also formulate the τ functions for the Garnier system (or the Schlesinger system of rank 2) on the root lattice Q(Cn+3) and show that they satisfy Toda equations, Hirota-Miwa equations and bilinear differential equations.

A new spatial filtering technique is proposed for improving image contrast and depth of focus in projection photolithography. The technique is based on fractional Fourier domain filtering. Unlike the current pupil filtering method, the fractional filter can be placed at any location along the projection optical path other than the pupil plane. The theory of partial coherent diffraction combined...

A causal rate distortion function (RDF) is defined, existence of extremum solution is described via weak-convergence, and its relation to filtering theory is discussed. The relation to filtering is obtained via a causal constraint imposed on the reconstruction kernel to be realizable while the extremum solution is given for the stationary case.

State estimation algorithm deals with recovering some desired state variables of a dynamic system from available noisy measurements, and estimation of the state variables is one of the fundamental and significant problems in control and signal processing areas, and many significant progresses have been made in this area. In 1940s, Wiener, the founder of the modern statistical estimation theory,...

Independent analyses using Fisher information, optimal filtering, and information theory show that matched filtering images with hypothetical patterns in the logarithmic domain provides an optimal method for pattern recognition in the presence of signal-dependent noise arising from complex Gaussian fluctuations in the received fields. This provides a mathematical justification for the use of lo...

In this report we revisit the theory introduced in [2]. We formulate it in terms of correlation functions so showing that the introduction of filtering functions is not necessary. We also describe an algorithm of equivalence checking for circuits with a known specification that is based on computation of correlation functions only (no filtering functions are computed).

We present a classification model for semi-structured documents based on statistical language modelling theory which outperforms extant approaches to spam filtering on the LingSpam email corpus [1]. We also introduce two variants of a novel discounting technique for higher-order N -gram language models developed in the light of the spam filtering problem.