Results 21 to 30 of about 3,906,906 (309)
On the stochastic behaviour of optional processes up to random times [PDF]
, 2014 In this paper, a study of random times on filtered probability spaces is undertaken. The main message is that, as long as distributional properties of optional processes up to the random time are involved, there is no loss of generality in assuming that ...
Kardaras, Constantinos
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Four lectures on probabilistic methods for data science
, 2016 Methods of high-dimensional probability play a central role in applications for statistics, signal processing theoretical computer science and related fields.
Vershynin, Roman
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When Does a Mixture of Products Contain a Product of Mixtures? [PDF]
, 2014 We derive relations between theoretical properties of restricted Boltzmann machines (RBMs), popular machine learning models which form the building blocks of deep learning models, and several natural notions from discrete mathematics and convex geometry.
Montufar, Guido F., Morton, Jason
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, 2018 Cl Fuzzy concepts are 'natural' generalizations of conventional mathematical concepts. Cl Probability and possibility are complementary. Cl Possibility theory is the attempt to be precise about uncertainty, to related statistical objects with rule-based ...
Olaf Wolkenhauer
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Molecular Oncology, EarlyView.This study develops a semi‐supervised classifier integrating multi‐genomic data (1404 training/5893 validation samples) to improve homologous recombination deficiency (HRD) detection in breast cancer. Our method demonstrates prognostic value and predicts chemotherapy/PARP inhibitor sensitivity in HRD+ tumours.
Rong Zhu +12 more
wiley +1 more source
Probabilistic Ideas and Methods in Undergraduate Mathematics: Axiological Aspects
International Electronic Journal of Mathematics Education, 2019 The goal the article is to answer the questions: “Why the probability theory and its applications should be studied?” and “What is the attitude of students to the study of probabilistic branches of mathematics?”.
Elena Kuznetsova
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An Advanced Mathematics Program for Middle School Teachers [PDF]
, 2004 The Conference Board of the Mathematical Sciences (CBMS), National Council of Teachers of Mathematics, and other organizations recommend twenty-one credits of mathematics coursework for prospective middle school teachers, beginning with a foundation ...
Carothers, D.
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Decrypting cancer's spatial code: from single cells to tissue niches
Molecular Oncology, EarlyView.Spatial transcriptomics maps gene activity across tissues, offering powerful insights into how cancer cells are organised, switch states and interact with their surroundings. This review outlines emerging computational, artificial intelligence (AI) and geospatial approaches to define cell states, uncover tumour niches and integrate spatial data with ...
Cenk Celik +4 more
wiley +1 more source
Diffusion‐based size determination of solute particles: a method adapted for postsynaptic proteins
FEBS Open Bio, EarlyView.We present a diffusion‐based approach for measuring the size of macromolecules and their complexes, and demonstrate its use on postsynaptic proteins. The method requires fluorescein‐labelled protein samples, a microfluidic device that maintains laminar flow for said samples, a microscope recording the emitted fluorescent signals, and an analytic ...
András László Szabó +7 more
wiley +1 more source
Statistics Education Research Journal, 2007 We analyze probability content within middle grades (6, 7, and 8) mathematics textbooks from a historical perspective. Two series, one popular and the other alternative, from four recent eras of mathematics education (New Math, Back to Basics ...
Dustin L. Jones, James E. Tarr
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