Category: 7. Maths
-
The math problem that took nearly a century to solve
Ramsey problems, such as r(4,5) are simple to state, but as shown in this graph, the possible solutions are nearly endless, making them very difficult to solve. Credit: Jacques Verstraete / UC San Diego We’ve all been there: staring at a math test with a problem that seems impossible to solve. What if finding the…
-
Data-driven structural analysis of small cell lung cancer transcription factor network suggests potential subtype regulators and transition pathways
Dense spanning trees of the unbiased SCLC TF network Given the SCLC TF network (Fig. 1), to analyze its structure and identify the hubs (Box 1) that are potentially fundamental in terms of their roles in complex biological processes, we search for the substructures called dense spanning trees (DSTs, Box 1). Suppose G is a…
-
mitigating risks and maximizing benefits of AI in research
Artificial-intelligence models require the vast computing power of supercomputers, such as this one at the University of California, San Diego.Credit: Bing Guan/Bloomberg via Getty Science is producing data in amounts so large as to be unfathomable. Advances in artificial intelligence (AI) are increasingly needed to make sense of all this information (see ref. 1 and…
-
Structural damage detection using deep learning and FE model updating techniques
The feasibility of the proposed method was evaluated based on the experimental test. Vibrational tests were conducted to extract the dynamic characteristics of the target structure, which were then used to establish a reference FE model that adequately represents the dynamic characteristics of the target structure. Based on the reference FE model, various FE models…
-
Seasonal variations in the phenolic profile, antioxidant activity, and mineral content of south Indian black tea (Camellia sinensis (L.) O. Kuntze)
Experimental site and sampling The study was carried out in Valparai, Tamil Nadu, India, at 1050 m above MSL in the TRI (Tea Research Experimental Farm) of the UPASI (United Planters’ Association of Southern India). Three cultivars—UPASI-3, UPASI-9, and UPASI-17—that stand in for “Assam,” “China,” and “Cambod” were employed as test subjects, together with seedlings of…
-
Enhancement of various images using coefficients obtained from a class of Sakaguchi type functions
Let \(\mathcal {A}\) denote the family of analytic functions in the open unit disk \(\mathbb {U}=\{\zeta \in \mathbb {C}:|\zeta |<1\}\). These functions f are normalized under the conditions \(f(0) = 0\) and \(f^{\prime }(0)=1\) in \(\mathbb {U}\) and are given by, $$\begin{aligned} f(\zeta )=\zeta +\sum _{n=2}^{\infty } o_{n}\zeta ^{n} \end{aligned}$$ (1) and let \(\mathcal {S}\)…
-
Dynamic financial and monetary security risk assessment based on information service security assessment model and blockchain
The theoretical basis of blockchain in the application of the FM linkage mechanism Alleviating information asymmetry Growth and volatility are the most fundamental core issues in the FM fields. The solution of information asymmetry not only helps to reduce the volatility and systemic risks of the financial system but also improves the efficiency of actual…
-
Machine learning regression algorithms to predict short-term efficacy after anti-VEGF treatment in diabetic macular edema based on real-world data
Baena-Díez, J. M. et al. Risk of cause-specific death in individuals with diabetes: A competing risks analysis. Diabetes Care 39, 1987–1995 (2016). Article PubMed Google Scholar Cho, N. H. et al. IDF Diabetes Atlas: Global estimates of diabetes prevalence for 2017 and projections for 2045. Diabetes Res. Clin. Pract. 138, 271–281. https://doi.org/10.1016/j.diabres.2018.02.023 (2018). Article CAS …
-
Extracting medicinal chemistry intuition via preference machine learning
We first focus on the evaluation of the results provided by two preliminary rounds for the study (see Methods), which ultimately led us to pursue the subsequent production-level runs. This is followed by a quantitative evaluation of predictive model performance over the production rounds. We then proceed to explore several areas where we believe the…
-
Why the UK-led global AI summit is missing the point
Bletchley Park, home to the United Kingdom’s wartime code-breaking team, is hosting this week’s AI safety summit. Delegates need to work towards regulatory transparency in the technology’s underlying data and models.Credit: Justin Tallis/AFP/Getty How to maximize the benefits of artificial intelligence (AI) while minimizing its harms is a worldwide preoccupation. This week, the spotlight is…