Suppose a fractional order PDE of the form
$${\mathbb{D}}_{t}^{\alpha } \left( {\vartheta \left( {y,t} \right)} \right) = f\left( y \right) + {\mathbb{L}}\vartheta \left( {y,t} \right) + \mathcal{N}\vartheta \left( {y,t} \right),\,\,\,\,\,\,t >…
Category: 7. Maths
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Continuous spatio-temporal synthesis of electromagnetic fields by projected space-time Fourier transform
Spatio-temporal expansion of 4D EM field
Consider a continuous 4D EM field \(F\left(x,y,{z;t}\right)\) of duration T as the desired field within a limited three-dimensional (3D) synthesis region \({\Omega }_{{{{\rm{syn}}}}}\). Applying the Fourier…
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Learning vision-based agile flight via differentiable physics
Schedl, D. C., Kurmi, I. & Bimber, O. An autonomous drone for search and rescue in forests using airborne optical sectioning. Sci. Robot. 6, 1188 (2021).
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Xing, J., Cioffi, G.,…
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Optical solitons, bifurcation, and chaos in the nonlinear conformable Schrödinger equation with group velocity dispersion coefficients and second-order spatiotemporal terms
Here, we utilize the new direct mapping method to generate several accurate answers in closed-form for the current time-fractional nonlinear Schrödinger problem. The inquiry begins by employing the following wave transformations:
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Super-Turing synaptic resistor circuits for intelligent morphing wing
Theoretical analysis of synstor circuits in super-Turing mode
The temporal mean of the \({{\bf{z}}}\) voltage pulses applied to the output electrode of the synstor circuit:
$$\overline{{{\bf{z}}}}=0$$
(4)
and the…
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Mask-prior-guided denoising diffusion improves inverse protein folding
Discrete denoising diffusion models
Denoising diffusion models are a class of deep generative models trained to create new samples by iteratively denoising sampled noise from a prior distribution. The training stage of a diffusion model consists…
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A new perspective on the simulation of stochastic problems in fluid mechanics with diffusion models
Li, T., Biferale, L., Bonaccorso, F., Scarpolini, M. A. & Buzzicotti, M. Nat. Mach. Intell. 6, 393–403 (2024).
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Sohl-Dickstein, J., Weiss, E., Maheswaranathan, N. & Ganguli, S….
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Flying in air ducts | npj Robotics
Aerodynamic forces in air ducts
When the air is accelerated by the four rotors, it is expected to hit the floor, then circulate and potentially go back to perturbate the drone from the top or the side. The most well-known of the expected effects…
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Gold standard, multi-genre dataset for named entity recognition and linking
Gathering data to create the gold standard EL dataset is hard. This is mainly due to the lack of a precise definition of the task. The first studies in the field followed Wikipedia’s Editing policy (Wikipedia: Editing policy), which recommended…
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Dataset resulting from the user study on comprehensibility of explainable AI algorithms
Machine learning model and XAI algorithms
The dataset used to train the classifier is a publicly available dataset from the University of California Irvine Machine Learning Repository11. It contains data on 61,069 specimens from 173 mushroom…
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