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A review of symbolic dynamics and symbolic reconstruction of dynamical systems
Chaos: An Interdisciplinary Journal of Nonlinear Science, 2023Discretizing a nonlinear time series enables us to calculate its statistics fast and rigorously. Before the turn of the century, the approach using partitions was dominant. In the last two decades, discretization via permutations has been developed to a powerful methodology, while recurrence plots have recently begun to be recognized as a method of ...
Yoshito Hirata, José M. Amigó
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Skill modeling through symbolic reconstruction of operator's trajectories
IEEE Transactions on Systems, Man, and Cybernetics - Part A: Systems and Humans, 1997Controlling a complex dynamic system, such as a plane or a crane, usually requires a skilled operator. Such control skill is typically hard to reconstruct through introspection. Therefore an attractive approach to the reconstruction of control skill involves machine learning from operator's control traces, also known as behavioral cloning.
Dorian Šuc, Ivan Bratko
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Reconstruction of chaotic signals using symbolic data
Physics Letters A, 1994Abstract We discuss the reconstruction of dynamical systems from noisy time-series. In particular, we consider the use of the symbol statistics (coarse-grained signal data) as the target for reconstruction. The statistics of symbol sequences is relatively insensitive to moderate amounts of measurement noise (σ(noise)/σ(signal) ≈ 10–20%), while larger
X.Z. Tang +4 more
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Trajectory recovery and stroke reconstruction of handwritten mathematical symbols
2015 13th International Conference on Document Analysis and Recognition (ICDAR), 2015With the increasing strength of online handwriting recognition systems, it is natural to try to exploit their power also for offline handwriting recognition problems, by reconstructing the necessary information on direction of strokes using a technique called trajectory recovery.
Behrang Sabeghi Saroui, Volker Sorge
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Symbolic Localization Reduction with Reconstruction Layering and Backtracking
2002Localization reduction is an abstraction-refinement scheme for model checking which was introduced by Kurshan [12] as a means for tackling state explosion. It is completely automatic, but despite the work that has been done related to this scheme, it still suffers from computational complexity.
Sharon Barner +2 more
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Iterative carrier phase synchronization without reconstructing the soft symbols
2017 51st Annual Conference on Information Sciences and Systems (CISS), 2017In an energy-efficient receiver employing iterative decoders, phase synchronization errors reduce much of the gains that can be achieved at low SNRs. To address this problem, the concept of an iterative receiver has received much attention in the past.
Qasim Chaudhari, Brian Krongold
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Symbolic Reconstruction of Quantum Mechanics
This paper presents a concise summary of the synthesis of the Symbolic Reconstruction of Quantum Mechanics developed within the Quantum Entanglement Spacetime Theory (QuEST), a generative theory of everything. Using only finite hypergraph primitives and explicit motif dynamics, notation is standardized, validated theorems are consolidated, and inter ...openaire +1 more source
Reconstructing the World: Albert Camus and the Symbolization of Experience
The Journal of Politics, 1999Albert Camus's political philosophy of rebellion and limits is ultimately grounded in an aesthetic theory, which in turn is dependent on a broader understanding of the nature of symbols. In his essays and notes. Camus develops a theory of symbols in which he insists that human beings are symbolic creatures and that human experience and symbolization ...
Cecil L. Eubanks, Peter A. Petrakis
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General Design of Wavelet High-Pass Filters from Reconstructional Symbol
2001For given reconstructional low-pass filters, the general solutions of matrix equation M (?)M*(?) = I for the construction of orthogonal or biorthogonal wavelet filter banks are presented.
Lihua Yang, Qiuhui Chen, Yuan Y. Tang
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Collatz Conjecture — Formal Reconstruction via Symbolic Recursion
This paper presents a formal symbolic proof of the Collatz Conjecture using a recursive, trace-based representation. By defining symbolic operations (D: n → n/2, T: n → 3n+1) and constructing expression trees for each Collatz path, the method shows that all positive integers reduce to the terminal cycle (4, 2, 1) via bounded symbolic descent.openaire +1 more source

