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Software/Multimedia
1 online resource (93 p.) : ill., ports.
"Coping with the complexities of the social world in the 21st century requires deeper quantitative and predictive understanding. Forty-three internationally acclaimed scientists and thinkers share their vision for complexity science in the next decade in this invaluable book. Topics cover how complexity and big data science could help society to tackle the great challenges ahead, and how the newly established Complexity Science Hub Vienna might be a facilitator on this path."--Publisher's website.
Software/Multimedia
1 online resource (248 p.) : ill.
"This volume contains short courses and recent papers by several specialists in different fields of Mathematical Analysis. It offers a reasonably wide perspective of the current state of research, and new trends, in areas related to Geometric Analysis, Harmonic Analysis, Complex Analysis, Functional Analysis and History of Mathematics. Often the contributions are presented with a remarkable expository nature although there are also some new unpublished results and this makes the discussed topics accessible to a more general audience."--Publisher's website.
Software/Multimedia
1 online resource (701 p.) : ill. (some col.)
"All coordination between cells, organs, and organisms depends on successful biocommunicative processes. There are abundant cases of communication in the biological world, both within (intraspecific) and between (interspecific) single-cell and multicellular microorganisms and higher animal forms. Split into two parts, this book first looks at the history, development and progress within the field of biocommunication. The second part presents real-life case studies and investigation into examples of biocommunication in the biological world. Among the organisms covered are bacteria, fungi, plants, terrestrial and marine animals, including bonobos, chimpanzees and dolphins, as well as a new theory of communication between parts in developing embryos (cybernetic embryos). Contributions from international experts in the field provide up-to-date research and results, while in depth analysis expands on these findings to pave the way for future discoveries. As the first comprehensive review of its kind, it is perfect for undergraduates, graduates, professionals and researchers in the field of life sciences."--Publisher's website.
Collection
Stanford Research Data
We draw a random subset of $k$ rows from a frame with $n$ rows (vectors) and $m$ columns (dimensions), where $k$ and $m$ are proportional to $n$. For a variety of important deterministic equiangular tight frames (ETFs) and tight non-ETF frames, we consider the distribution of singular values of the $k$-subset matrix. We observe that for large $n$ they can be precisely described by a known probability distribution -- Wachter's MANOVA spectral distribution, a phenomenon that was previously known only for two types of random frames. In terms of convergence to this limit, the $k$-subset matrix from all these frames is shown to be empirically indistinguishable from the classical MANOVA (Jacobi) random matrix ensemble. Thus empirically the MANOVA ensemble offers a universal description of the spectra of randomly selected $k$-subframes, even those taken from deterministic frames. The same universality phenomena is shown to hold for notable random frames as well. This description enables exact calculations of properties of solutions for systems of linear equations based on a random choice of $k$ frame vectors out of $n$ possible vectors, and has a variety of implications for erasure coding, compressed sensing, and sparse recovery. When the aspect ratio $m/n$ is small, the MANOVA spectrum tends to the well known Mar\u cenko-Pastur distribution of the singular values of a Gaussian matrix, in agreement with previous work on highly redundant frames. Our results are empirical, but they are exhaustive, precise and fully reproducible.
Collection
Stanford Project for Open Knowledge in Epidemiology (SPOKE)
A diet high in fruits and vegetables (FV) is associated with reduced risk of chronic disease. One strategy to incentivize FV consumption among low-income households is to make them more affordable through the Supplemental Nutrition Assistance Program (SNAP). This study aims to identify the cost effectiveness of subsidizing FV purchases among the one in seven Americans who participate in SNAP. METHODS: A cost-effectiveness analysis was conducted from a societal perspective to estimate lifetime costs and health gains associated with subsidizing FV purchases. A stochastic microsimulation model of obesity, type 2 diabetes, myocardial infarction, and stroke in the 2015 U.S. population was used. Model parameters were based on nationally representative SNAP participation and dietary consumption data from the National Health and Nutrition Examination Survey (2003-2012), and data from a randomized trial of FV subsidies among SNAP users. RESULTS: Despite cycling of participants in and out of SNAP, expanding an FV subsidy nationwide through SNAP would be expected to reduce incidence of type 2 diabetes by 1.7% (95% CI=1.2, 2.2), myocardial infarction by 1.4% (95% CI=0.9, 1.9), stroke by 1.2% (95% CI=0.8, 1.6), and obesity by 0.2% (95% CI=0.1, 0.3), and be cost saving from a societal perspective. The saved costs would be largely attributable to long-term reductions in type 2 diabetes and cardiovascular diseases. CONCLUSIONS: The model suggests nationwide SNAP FV subsidies would reduce chronic disease morbidity, mortality, and costs over long time horizons that are unlikely to be observed in short-term community-based trials.
Collection
Reproducible Research Support for Statistics of the Microbiome
This item contains data, fitted models, and model evaluation data associated with the study "Latent Variable Modeling for the Microbiome." Further, we include a docker image with all dependencies preinstalled, so that analysis can be easily replicated. See the README.md for directions on using the image. The code used to generating these results are available at the github link, and inside the docker image. In addition to providing code for fitting models, our work describes ways to investigate modeling results, through relevant diagnostics and uncertainty assessments. Our experiments suggest that text modeling techniques can be a useful alternative to standard dimension-reduction methods when samples are collected with more complex dependence structure, as is often the case in microbiome data.
Software/Multimedia
1 online resource (403 p.) : ill. (some col.)
"Symmetries play a fundamental role in physics. Non-Abelian gauge symmetries are the symmetries behind theories for massless spin-1 particles, while the reparametrization symmetry is behind Einstein's gravity theory for massless spin-2 particles. In supersymmetric theories these particles can be connected also to massless fermionic particles. Does Nature stop at spin-2 or can there also be massless higher spin theories. In the past strong indications have been given that such theories do not exist. However, in recent times ways to evade those constraints have been found and higher spin gauge theories have been constructed. With the advent of the AdS/CFT duality correspondence even stronger indications have been given that higher spin gauge theories play an important role in fundamental physics. All these issues were discussed at a recent international workshop in Singapore where the leading scientists in the field participated. This volume presents an up-to-date, detailed overview of the theories including its historic background, as well as the latest accomplishments in understanding the foundational properties of higher spin physics."--Publisher's website.
Software/Multimedia
1 online resource (279 p.) : ill. (some col.)
"A unique individual with a fascinating life story, Ivar Giaever is a scientist who won the Nobel Prize in Experimental Physics in 1973. In his own words, Giaever relates an absorbing tale of how important luck and good fortune have been in shaping his life. He narrates the story of an ordinary childhood in Norway and an unremarkable undergraduate career at university. After finishing his engineering degree, he served in the Norwegian army and married his childhood sweetheart, Inger Skramstad. His desire to make a better life for his new family led Ivar to Canada and then to the United States. Even without an advanced degree in a scientific field, Ivar was given the opportunity to work with cutting-edge scientific researchers at General Electric R&D in Schenectady, New York. While there, he completed his PhD at Rensselaer Polytechnic Institute — one of the United States' oldest technological universities. His work on superconductivity led to worldwide recognition and the Nobel Prize. This memoire is more than the story of an accomplished, world-renowned scientist: it is an engaging reminiscence of an independent, highly creative thinker and problem solver who loves games and puzzles, skiing and windsurfing, and time with friends and family. Dr Ivar Giaever's fascinating story intertwines his views on the nature of science, scientific processes, contemporary issues such as global warming, and the great benefits the Nobel Prize has afforded him. Written with humor and often tongue-in-cheek, "I am the Smartest Man I know" is one man's meditation on science, intellectual inquiry, and life itself."--Publisher's website.
Software/Multimedia
1 online resource (309 p.) : ill.
"The book is aimed at graduate students and researchers with basic knowledge of Probability and Integration Theory. It introduces classical inequalities in vector and functional spaces with applications to probability. It also develops new extensions of the analytical inequalities, with sharper bounds and generalizations to the sum or the supremum of random variables, to martingales and to transformed Brownian motions. The proofs of many new results are presented in great detail. Original tools are developed for spatial point processes and stochastic integration with respect to local martingales in the plane. This second edition covers properties of random variables and time continuous local martingales with a discontinuous predictable compensator, with exponential inequalities and new inequalities for their maximum variable and their p-variations. A chapter on stochastic calculus presents the exponential sub-martingales developed for stationary processes and their properties. Another chapter devoted itself to the renewal theory of processes and to semi-Markovian processes, branching processes and shock processes. The Chapman–Kolmogorov equations for strong semi-Markovian processes provide equations for their hitting times in a functional setting which extends the exponential properties of the Markovian processes."--Publisher's website.
Software/Multimedia
1 online resource (1 map) : digital, JPG file.