Category: 7. Maths
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A hybrid CNN-Random Forest algorithm for bacterial spore segmentation and classification in TEM images
We design our algorithm as a CNN-RF algorithm to optimally segment spores and classify layers. The CNN is first trained on image data to convert high-dimensional 2D TEM images into vectors of real values, which are then used as input features for decision trees in the RF algorithm. By preserving the inter-pixel relationships in the…
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Comparison of anterior column reconstruction techniques after en bloc spondylectomy: a finite element study
Sundaresan, N., Rosen, G. & Boriani, S. Primary malignant tumors of the spine. Orthop. Clin. N. Am. 40, 21–36. https://doi.org/10.1016/j.ocl.2008.10.004 (2009). Article Google Scholar Wise, J. J., Fischgrund, J. S., Herkowitz, H. N., Montgomery, D. & Kurz, L. T. Complication, survival rates, and risk factors of surgery for metastatic disease of the spine. Spine (Phila.…
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Breast density analysis of digital breast tomosynthesis
Study data Study data was obtained from women participating in one of two studies collected under the same Institutional Review Board (IRB) of the University of South Florida, Tampa, FL (08/13/2007) selection protocol. Data was collected both retrospectively on a waiver for informed consent and prospectively with informed consent, both approved by the IRB referenced…
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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…
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A new record for Math Prize for Girls wins | MIT News
Florida Virtual School senior Jessica Wan was the winner of the 15th Math Prize for Girls (MP4G) annual contest for female-identifying contestants, held Oct. 6-8 at MIT. She scored 17 out of 20 questions, which added up to make Wan the MP4G’s most successful contestant in its history; she also won the contest last year…
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Discovering golden ratio in the world’s first five-agent network in ancient China
Modeling Wuxing network as a weighted graph The operation of Wuxing pictograph can be summarized into the following three principles: (a) Two Agents’ relative position determines the attribute of their relationship. Whether the relationship is cooperative or antagonistic is not determined by the physical property of the agents, but by their relative positions in the…
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Module of Axis-based Nexus Attention for weakly supervised object localization
Felzenszwalb, P. F., Girshick, R. B., McAllester, D. & Ramanan, D. Object detection with discriminatively trained part-based models. IEEE Trans. Pattern Anal. Mach. Intell. 32, 1627–1645 (2009). Article Google Scholar Girshick, R., Donahue, J., Darrell, T. & Malik, J. Rich feature hierarchies for accurate object detection and semantic segmentation. In Proceedings of the IEEE Conference…
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Performance comparison of instrument automation pipelines using different programming languages
Brief details about the UCT system The automated UCT system comprises two non-contact ultrasound (NCU) transducers, an arbitrary wave generator (AWG), a digital storage oscilloscope (DSO), a microcontroller, electromechanical components, and a processing system, as shown in Fig. 1. The AWG, DSO, and microcontroller are connected to the PC via a USB port. The AWG is…
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The use of a Mamdani-type fuzzy model for assessing the performance of a boom stabilization systems in a field sprayer
Dubois, D. & Prade, H. Fundamentals of Fuzzy Sets (Springer, 2000). https://doi.org/10.1007/978-1-4615-4429-6. Book MATH Google Scholar Czabanski, R., Jezewski, M. & Leski, J. Introduction to fuzzy systems. In Theory and Applications of Ordered Fuzzy Numbers Studies in Fuzziness and Soft Computing Vol. 356 (eds Prokopowicz, P. et al.) (Springer, 2017). https://doi.org/10.1007/978-3-319-59614-3_2. Chapter MATH Google Scholar …
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Transmission of drug-resistant bacteria in a hospital-community model stratified by patient risk
The spread of bacteria within a single hospital-community pair can be modelled by a modified version of a susceptible-infectious-susceptible (SIS) model, considered e.g. in Piotrowska et al.17. To distinguish two patient risk groups, we introduce additional variables to the model, indexed by \(i\in \{1,2\}\). Here \(i=1\) denotes the low-risk group and \(i=2\) the high-risk group.…