Category: 7. Maths
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A model-independent redundancy measure for human versus ChatGPT authorship discrimination using a Bayesian probabilistic approach
Available material Forensic science is a scientific area of judicial and social interest. Our attention was mainly directed towards this field because of its impact on society and related judgments. Forensic practice is routinely confronted with a limited amount of trace material and comparative reference samples. Forensic scientists must be able to juggle this additional…
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Quantum-aided secure deep neural network inference on real quantum computers
Quantum protocol for oblivious transfer For DNN inference in an unconditionally secure manner in real world, a practical secure quantum cryptographic primitive has to be established first. Here we propose a quantum oblivious transfer (QOT) protocol that is applicable to commercially available quantum infrastructures with limited fidelity and quantum capacity, and provide a theoretical security…
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Training large-scale optoelectronic neural networks with dual-neuron optical-artificial learning
Principle of dual-neuron optical-artificial learning (DANTE) Figure 1a, b illustrates the schematics of an artificial neural network (ANN) and a diffractive optoelectronic neural network (ONN). The ANN is composed of alternating linear computing layers and non-linear activation layers. The forward pass of an ANN layer is usually formulated as follows: $${{{{{{\bf{X}}}}}}}^{l+1}={{{{{{\rm{A}}}}}}}^{l}\left({{{{{{\bf{W}}}}}}}^{l}{{{{{\bf{X}}}}}}^{l}+{{{{{{\bf{B}}}}}}}^{l}\right)$$ (1) Where \({{{{{{\bf{X}}}}}}}^{l}\) denotes the…
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On the $$(k,\ell )$$ -anonymity of networks via their k-metric antidimension
We next include the proofs of the results presented in Section “Networks with a predetermined structure”. The proofs follow somehow a similar structure. We first give conditions that a given set of vertices must satisfy in order to be a k-ARS for a given graph. Then, we complete the computations, by constructing a k-ARS with…
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Applying self-powered sensor and support vector machine in load energy consumption modeling and prediction of relational database
Theory of self-powered electric WVS Node structure of self-powered WVS network The self-powered WVS network comprises numerous nodes, typically positioned in concealed locations. These self-powered WVS nodes harness mechanical vibration signals and energy properties to oversee the status of mechanical equipment13. They operate autonomously, and the comprehensive network architecture is depicted in Fig. 1. Figure 1…
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Threshold effect of technological innovation on carbon emission intensity based on multi-source heterogeneous data
Calculation of carbon emission intensity In order to understand the change in carbon emission intensity in various provinces and cities in China, the analysis is carried out from 2010 to 2020 as an example. Read Table 2 for details. Table 2 The carbon emission intensity of provinces and cities in China from 2010 to 2020.…
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Transformer-based convolutional forgetting knowledge tracking
In this section, we will go over each component of the model in detail. Definitions for commonly used data for knowledge tracking are included. A positional encoding construct used to keep data position information safe. A demonstration of how and what convolutional layers do. How the attention mechanism works, as well as the weight matrix…
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FAIR EVA: Bringing institutional multidisciplinary repositories into the FAIR picture
This paper aims to present the main characteristics of FAIR EVA, a new service-oriented to provide feedback for researchers, repositories administrators and developers in order to let them know the current level of FAIRness of digital objects. The goal is to provide a tool flexible enough to be adapted to different types of repositories and…
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Teen uses calculus learned through MITx to better understand his cancer treatment | MIT News
When Dustin Liang was diagnosed with T-cell acute lymphoblastic leukemia in June, the cancer consumed his life. But despite a monthlong hospital stay, aggressive chemotherapy treatments, and ongoing headaches, fatigue, loss of appetite, and nausea, the 17-year-old high school senior enrolled in MITx’s class 18.01.1x (Calculus 1A: Differentiation). MITx, part of MIT Open Learning, offers…
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Climate tipping points easier to judge with math breakthrough
A Mitchell’s diagram depicting a qualitative representation of the climate variability across a range of scales. Credit: Nature Reviews Physics (2023). DOI: 10.1038/s42254-023-00650-8 Math experts have developed new ways to provide further evidence for human-caused global heating and predict how close Earth is to reaching dangerous climate tipping points. Tipping points occur when lots of…