Results 81 to 90 of about 1,944,105 (329)

Noncommutative algebraic geometry

open access: yesRevista Matemática Iberoamericana, 2003
The need for a noncommutative algebraic geometry is apparent in classical invariant and moduli theory. It is, in general, impossible to find commuting parameters parametrizing all orbits of a Lie group acting on a scheme. When one orbit is contained in the closure of another, the orbit space cannot, in a natural way, be given a scheme structure.
openaire   +5 more sources

Interpretability and Representability of Commutative Algebra, Algebraic Topology, and Topological Spectral Theory for Real‐World Data

open access: yesAdvanced Intelligent Discovery, EarlyView.
This article investigates how persistent homology, persistent Laplacians, and persistent commutative algebra reveal complementary geometric, topological, and algebraic invariants or signatures of real‐world data. By analyzing shapes, synthetic complexes, fullerenes, and biomolecules, the article shows how these mathematical frameworks enhance ...
Yiming Ren, Guo‐Wei Wei
wiley   +1 more source

A High‐Precision and Robust Geometric Relationships‐Inspired Neural Network for the Inverse Kinematic Modeling of the Tendon‐Actuated Continuum Manipulator

open access: yesAdvanced Intelligent Systems, EarlyView.
An online learning control framework with a data cache pool based on a constant‐curvature model inspired neural network (CCMINN) model to obtain the inverse kinematics model of tendon‐actuated continuum manipulators is proposed. Combining the fast‐converging CCMINN with an online learning control framework enables high‐precision and highly robust ...
Jinyu Duan   +5 more
wiley   +1 more source

Thom series of contact singularities [PDF]

open access: yes, 2010
Thom polynomials measure how global topology forces singularities. The power of Thom polynomials predestine them to be a useful tool not only in differential topology, but also in algebraic geometry (enumerative geometry, moduli spaces) and algebraic ...
Fehér, L. M., Rimányi, R.
core  

Robotic Needle Steering for Percutaneous Interventions: Sensing, Modeling, and Control

open access: yesAdvanced Intelligent Systems, EarlyView.
This review examines recent advances in robotic needle steering for percutaneous interventions, highlighting closed‐loop sensing, physics‐informed tissue‐needle interaction modeling, and real‐time trajectory planning and control. It synthesizes innovations in deep learning, fiber‐optic feedback, and adaptive control strategies, and outlines emerging ...
Fangjiao Zhao   +5 more
wiley   +1 more source

Review of Memristors for In‐Memory Computing and Spiking Neural Networks

open access: yesAdvanced Intelligent Systems, EarlyView.
Memristors uniquely enable energy‐efficient, brain‐inspired computing by acting as both memory and synaptic elements. This review highlights their physical mechanisms, integration in crossbar arrays, and role in spiking neural networks. Key challenges, including variability, relaxation, and stochastic switching, are discussed, alongside emerging ...
Mostafa Shooshtari   +2 more
wiley   +1 more source

Efficient Dynamics: Reduced‐Order Modeling of the Time‐Dependent Schrödinger Equation

open access: yesAdvanced Physics Research, EarlyView.
Reduced‐order modeling (ROM) approaches for the time‐dependent Schrödinger equation are investigated, highlighting their ability to simulate quantum dynamics efficiently. Proper Orthogonal Decomposition, Dynamic Mode Decomposition, and Reduced Basis Methods are compared across canonical systems and extended to higher dimensions.
Kolade M. Owolabi
wiley   +1 more source

Risk‐aware safe reinforcement learning for control of stochastic linear systems

open access: yesAsian Journal of Control, EarlyView.
Abstract This paper presents a risk‐aware safe reinforcement learning (RL) control design for stochastic discrete‐time linear systems. Rather than using a safety certifier to myopically intervene with the RL controller, a risk‐informed safe controller is also learned besides the RL controller, and the RL and safe controllers are combined together ...
Babak Esmaeili   +2 more
wiley   +1 more source

Uniform Gas Flow Distribution into Several Partial Flows under Consideration of Closable Outlets

open access: yesChemie Ingenieur Technik, EarlyView.
The uniform distribution of a gas flow into several partial flows poses a challenge in various technical fields. This study presents a static flow distributor design that ensures an equal distribution of an inlet gas flow regardless of the flow rate and the number of open outlets.
Nikolas Schmidt   +3 more
wiley   +1 more source

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