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Quantum complexity of time evolution with chaotic Hamiltonians
Published 2020-01-01“…In contrast, we also study the case with N = 2 fermions (which is integrable) and find short-time linear complexity growth followed by oscillations. Our analysis relates complexity to familiar properties of physical theories like their spectra and the structure of energy eigenstates and has implications for the hypothesized computational complexity class separations PSPACE BQP/poly and PSPACE BQSUBEXP/subexp, and the “fast-forwarding” of quantum Hamiltonians.…”
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Computably Enumerable Semisimple Rings
Published 2025-01-01“…We study the complexity of the problem of semisimple rings using the tools of computability theory. …”
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Quantum computing universal thermalization dynamics in a (2 + 1)D Lattice Gauge Theory
Published 2025-07-01“…Our work, therefore, establishes quantum computers as robust tools for studying universal features of thermalization in complex many-body systems, including in gauge theories.…”
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Rough Set Theory and Soft Computing Methods for Building Explainable and Interpretable AI/ML Models
Published 2025-05-01Get full text
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Reassessing Christopher Alexander’s theory of urban morphogenesis
Published 2025-07-01Get full text
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ON PARAMETERIZED COMPLEXITY OF HITTING SET PROBLEM FOR AXIS–PARALLEL SQUARES INTERSECTING A STRAIGHT LINE
Published 2016-12-01“…The Hitting Set Problem (HSP) is the well known extremal problem adopting research interest in the fields of combinatorial optimization, computational geometry, and statistical learning theory for decades. …”
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Synthesis and Characterization of Cu(I)-Folic Acid Complex A Theoretical and Experimental Study
Published 2016-06-01Get full text
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Understanding the Complex Adoption Behavior of Cloud Services by SMEs Based on Complexity Theory: A Fuzzy Sets Qualitative Comparative Analysis (fsQCA)
Published 2021-01-01“…To understand how SMEs adopt cloud computing in a complex digital environment, this study examines how antecedents combine with each other to explain the high adoption of cloud computing. …”
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ϵ-Confidence Approximately Correct (ϵ-CoAC) Learnability and Hyperparameter Selection in Linear Regression Modeling
Published 2025-01-01“…Drawbacks of these methods include introducing new hyperparameters with their own new challenges and uncertainties, potential increase of the computational complexity or requiring large set of training data sets. …”
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THE DISCIPLINE «COMPUTER-BASED PRODUCT LIFECYCLE MANAGEMENT» AND ITS ROLE IN TECHNICAL UNIVERSITY
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Low-light image enhancement method based on retinex theory and dual-tree complex wavelet transform
Published 2025-06-01“…Therefore, this paper proposes a novel LIE framework based on Retinex theory and Dual-Tree Complex Wavelet Transform (DTCWT). …”
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Integrated Computational Approach to Rational Drug Design Targeting SIK2/3: From Theory to Practice
Published 2024-11-01Get full text
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Methodological Problems and Strategic Goals of the Work on Creation of the Theory and Technology of New Generation Intelligent Computer Systems
Published 2024-03-01“…The main methodological problems and strategic goals of work on creating the theory and technology of intelligent computer systems of a new generation are considered. …”
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Tangent complexes and the Diamond Lemma
Published 2024-12-01“…Specifically, our main result states that every such resolution of an algebra with monomial relations gives rise to its own Diamond Lemma, where Bergman’s condition of “resolvable ambiguities” is precisely the first nontrivial component of the Maurer–Cartan equation in the corresponding tangent complex. The same approach works for many other algebraic structures, emphasizing the relevance of computing resolutions of algebras with monomial relations.…”
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More Theory About Infinite Numbers and Important Applications
Published 2025-04-01Get full text
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