Detection of non-coding RNA with comparative genomics and the sequential closure of smooth graphs in Cartesian currents by Coventry, Alex, 1972-

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Multiscale Geometric Methods for Data Sets I: Multiscale SVD, Noise and Curvature by Little, Anna V., Maggioni, Mauro, Rosasco, Lorenzo

“…Certain tools from multiscale geometric measure theory and harmonic analysis seem well-suited to be adapted to the study of samples from such probability distributions, in order to yield quantitative geometric information about them. …”
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Non-Stationary Stochastic Global Optimization Algorithms by Jonatan Gomez, Andres Rivera

“…The second step is to define a formal characterization of the iterative process in terms of measure theory and define some of such stochastic operations as stationary Markov kernels (defined in terms of transition probabilities that do not change over time). …”
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Identifying 1-rectifiable measures in Carnot groups by Badger Matthew, Li Sean, Zimmerman Scott

“…We continue to develop a program in geometric measure theory that seeks to identify how measures in a space interact with canonical families of sets in the space. …”
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Query lower bounds for log-concave sampling by Chewi, Sinho, de Dios Pont, Jaume, Li, Jerry, Lu, Chen, Narayanan, Shyam

“…Our proofs rely upon (1) a multiscale construction inspired by work on the Kakeya conjecture in geometric measure theory, and (2) a novel reduction that demonstrates that block Krylov algorithms are optimal for this problem, as well as connections to lower bound techniques based on Wishart matrices developed in the matrix-vector query literature.…”
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Integrity Constraints Revisited: From Exact to Approximate Implication by Batya Kenig, Dan Suciu

“…Finally, we show how some of the results in the paper can be derived using the I-measure theory, which relates between information theoretic measures and set theory. …”
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A study on the existence of numerical and analytical solutions for fractional integrodifferential equations in Hilfer type with simulation by Reny George, Seher Melike Aydogan, Fethiye Muge Sakar, Mehran Ghaderi, Shahram Rezapour

“…We have used the capabilities of measure theory and fixed point techniques to provide the required space to guarantee the existence of the solution. …”
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Denotational validation of higher-order Bayesian inference by Scibior, A, Kammar, O, Vakar, M, Staton, S, Yang, H, Cai, Y, Ostermann, K, Moss, SK, Heunen, C, Ghahramani, Z

“…To emphasize the connection between the semantic manipulation and its traditional measure theoretic origins, we use Kock’s synthetic measure theory.We demonstrate its usefulness by proving a quasi-Borel counterpart to the Metropolis-Hastings-Green theorem.…”

Local inference of Morse indices using finite point samples by Yim, KM

“…</p> <p>The final portion of this thesis investigates how maximum diversity, a notion of effective cardinality in geometric measure theory, can be applied to industrial applications of interest to Elsevier, who sponsor this DPhil. …”

Modeling and analysis of ensemble average solvation energy and solute–solvent interfacial fluctuations by Shao Yuanzhen, Chen Zhan, Zhao Shan

“…Drawing upon principles of statistical mechanics and geometric measure theory, we rigorously demonstrate that the proposed models effectively capture EASE during the solvation process. …”
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The ‘Reading the mind in the Eyes' test and emotional intelligence by Alberto Megías-Robles, María José Gutiérrez-Cobo, Rosario Cabello, Raquel Gómez-Leal, Simon Baron-Cohen, Pablo Fernández-Berrocal

“…The ‘Reading the Mind in the Eyes' test (Eyes Test) has been widely used to measure theory of mind (ToM) or the ability to recognize the thoughts and feelings of others. …”
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Fuzzy solutions of some variants of the fractional order Korteweg-de-Vries equations via an analytical method by Muhammad Nadeem, Jamshad Ahmad, Fatima Nusrat, Loredana Florentina Iambor

“…The numerical and graphical presentation demonstrates the symmetry between the lower and upper cut representations of the fuzzy solutions and may be helpful in improving understanding of automatic control models, measure theory, physics, biology, computer science, quantum optics, economics, artificial intelligence, and other domains, as well as non-financial analysis.…”
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Structure and dynamics of two-dimensional colloidal hard spheres by Thorneywork, A

“…Comparison to fundamental measure theory and Monte Carlo simulations confirms both the behaviour of the system as a model for hard disks and the equation of state. …”

Decomposition of random walk measures on the one-dimensional torus by Tom Gilat

“…The proof uses tools from additive combinatorics, geometric measure theory, and harmonic analysis.…”
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Comprehensive Evaluation of Blast Casting Results Based on Unascertained Measurement and Intuitionistic Fuzzy Set by Li Ma, Jianguo Zhang, Chen Xu, Xingping Lai, Qiang Luo, Chendong Liu, Kemin Li

“…The unascertained measure theory was adopted to determine the membership degree of influencing factor indicator, which expanded the expression method of fuzzy information of evaluation indicators. …”
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Transcultural Adaptation of Environmental Health Questionnaire with Attitude, Knowledge, and Skills Scales for Portuguese Nursing Students by Cristina Álvarez-García, Beatriz Edra, Goreti Marques, Catarina Simões, Mª Dolores López-Franco

“…This was carried out in two phases: the translation and adaptation process and the validation process using classical measure theory and item response theory with undergraduate nursing students. …”
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A Review on Classes of Composition Operators by Mohammadreza Azimi

“…We discuss from the point of view of measure theory and all results depend strongly to the Radon-Nikodym derivative  and the conditional expectation operator  with their various types. …”
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Transfer Free Energies of Test Proteins Into Crowded Protein Solutions Have Simple Dependence on Crowder Concentration by Valery Nguemaha, Sanbo Qin, Huan-Xiang Zhou, Huan-Xiang Zhou

“…We found that Δμe−v fits well to the generalized fundamental measure theory (Qin and Zhou, 2010), which accounts for atomic details of the test protein but approximates the crowder proteins as spherical particles. …”
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Mechanism design : from optimal transport theory to revenue maximization by Tzamos, Christos

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Bayesian Inference of Atomic Diffusivity in a Binary Ni/Al System Based on Molecular Dynamics by Rizzi, F., Salloum, M., Marzouk, Youssef M., Xu, R.-G., Falk, M. L., Weihs, T. P., Fritz, G., Knio, O. M.

“…To this end, a mixing measure theory is developed that relies on analyzing the moments of the cumulative distribution functions (CDFs) of the constituents. …”
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