Researchers studying complex cognition have grown increasingly interested in mapping symbolic cognitive architectures onto subsymbolic brain models. Such a mapping seems essential for understanding cognition under all but the most extreme viewpoints (namely, that cognition consists exclusively of digitally implemented rules; or instead, involves no rules whatsoever). Making this mapping reduces...

This paper presents an efficient symbolic-numerical approach for generating and solving the Boundary Value Problem Differential Algebraic Equation (BVP-DAE) originating from the variational form of the Optimal Control Problem (OCP). This paper presents the Method for the symbolic derivation, by means of symbolic manipulation software (Maple), of the equations of the OCP applied to a generic mul...

We present algorithms for the symbolic and numerical factorization phases in the direct solution of sparse unsymmetric systems of linear equations. We have modified a classical symbolic factorization algorithm for unsymmetric matrices to inexpensively compute minimal elimination structures. We give an efficient algorithm to compute a near-minimal data-dependency graph for unsymmetric multifront...

In this paper, a novel scheme for representing symbolic images in a symbolic image database (SID) is proposed. The proposed scheme is based on triangular spatial relationship (TSR) [Pattern Recognition Lett. 22 (2001) 999]. The scheme preserves TSR among the components in a symbolic image by the use of quadruples. A SID is created through the construction of B-tree, an efficient multilevel inde...

This study proposes a template matching simplification method from the perspective of shape cognition based on the typical template characteristics of building distributions and representations. The method first formulates a series of templates to abstract the building shape by generalizing their polygons and analyzing their symbolic meanings, then conducts the simplification by searching and m...

This article presents a probabilistic model of polyphonic music analysis. Taking a note pattern as input, the model combines three aspects of symbolic music analysis— metrical analysis, harmonic analysis, and stream segregation—into a single process, allowing it to capture the complex interactions between these structures. The model also yields an estimate of the probability of the note pattern...

This paper presents a compositional hierarchical model for pattern discovery in symbolic music. The model can be regarded as a deep architecture with a transparent structure. It can learn a set of repeated patterns within individual works or larger corpora in an unsupervised manner, relying on statistics of pattern occurrences, and robustly infer the learned patterns in new, unknown works. A le...

HIGHLIGHTS We test whether symbolic number comparison is handled by an analog noisy system.Analog system model has systematic biases in describing symbolic number comparison.This suggests that symbolic and non-symbolic numbers are processed by different systems. Dominant numerical cognition models suppose that both symbolic and non-symbolic numbers are processed by the Analog Number System (ANS...

the aim of this study is to show that the measures derived from electrocardiogram (ecg) signals many a time perform better than the same measures obtained from heart rate (hr) signals. a comparison was made to investigate how far the nonlinear symbolic dynamics approach helps to characterize the nonlinear properties of ecg signals and hr signals, and thereby discriminate between normal and cong...

the main purpose of this research is pondering and explaining the place of women in the process of palestine’s resistance by analyzing related symbols in fadwa touqan’s poetry. she is known as the representative and the exemplary personality of women’s poetry and to some extent her reputation has been in the shadow of the literary characteristic of her brother, ibrahim touqan. fadwa has a promi...