What Is Mathematical Biology and How Useful Is It?
... good fit with the experimental data. This process may take many iterations. Hence it is crucial that each simulation does not take too much computational time. When the model simulations finally agree with experimental results, the model may be considered useful for suggesting new hypotheses that ar ...
... good fit with the experimental data. This process may take many iterations. Hence it is crucial that each simulation does not take too much computational time. When the model simulations finally agree with experimental results, the model may be considered useful for suggesting new hypotheses that ar ...
Another version - Scott Aaronson
... Then the classical sampler has “no way of knowing” which submatrix of U we care about—so even if it has 1/poly(n) error, with high probability it will return |S with probability |Per(A)|2 Then, just like before, we can use approximate counting to estimate Pr[|S]|Per(A)|2 in BPPNP, and thereby ...
... Then the classical sampler has “no way of knowing” which submatrix of U we care about—so even if it has 1/poly(n) error, with high probability it will return |S with probability |Per(A)|2 Then, just like before, we can use approximate counting to estimate Pr[|S]|Per(A)|2 in BPPNP, and thereby ...
b. Artificial Neural Networks (ANN)
... with great risk because of the uncertainty on subsurface conditions. Understanding the impact of those uncertainties on the production performance is a crucial part in the decision making process. Traditionally, uncertainty assessment is performed using experimental design and response surface metho ...
... with great risk because of the uncertainty on subsurface conditions. Understanding the impact of those uncertainties on the production performance is a crucial part in the decision making process. Traditionally, uncertainty assessment is performed using experimental design and response surface metho ...
Low Rank Language Models for Small Training Sets
... resources are scarce. On a genre-adaptation task, the LRLM obtains lower perplexity than the baseline (modified Kneser–Neysmoothed) models. The standard file formats used for interpolating different language models cannot compactly represent the low rank parameter structure of LRLMs. Thus, despite h ...
... resources are scarce. On a genre-adaptation task, the LRLM obtains lower perplexity than the baseline (modified Kneser–Neysmoothed) models. The standard file formats used for interpolating different language models cannot compactly represent the low rank parameter structure of LRLMs. Thus, despite h ...
Investigating the Height of a Stack of Cookies
... Oreo™ cookies tend to have a relatively consistent thickness; hence, a good fit of the data occurs on performing a linear regression. The accompanying interactive Excel spreadsheet allows for “Just Add Data” to produce the best-fit line. A discussion of linear regression and goodness of fit can be d ...
... Oreo™ cookies tend to have a relatively consistent thickness; hence, a good fit of the data occurs on performing a linear regression. The accompanying interactive Excel spreadsheet allows for “Just Add Data” to produce the best-fit line. A discussion of linear regression and goodness of fit can be d ...
Computer simulation
A computer simulation is a simulation, run on a single computer, or a network of computers, to reproduce behavior of a system. The simulation uses an abstract model (a computer model, or a computational model) to simulate the system. Computer simulations have become a useful part of mathematical modeling of many natural systems in physics (computational physics), astrophysics, climatology, chemistry and biology, human systems in economics, psychology, social science, and engineering. Simulation of a system is represented as the running of the system's model. It can be used to explore and gain new insights into new technology and to estimate the performance of systems too complex for analytical solutions.Computer simulations vary from computer programs that run a few minutes to network-based groups of computers running for hours to ongoing simulations that run for days. The scale of events being simulated by computer simulations has far exceeded anything possible (or perhaps even imaginable) using traditional paper-and-pencil mathematical modeling. Over 10 years ago, a desert-battle simulation of one force invading another involved the modeling of 66,239 tanks, trucks and other vehicles on simulated terrain around Kuwait, using multiple supercomputers in the DoD High Performance Computer Modernization ProgramOther examples include a 1-billion-atom model of material deformation; a 2.64-million-atom model of the complex maker of protein in all organisms, a ribosome, in 2005;a complete simulation of the life cycle of Mycoplasma genitalium in 2012; and the Blue Brain project at EPFL (Switzerland), begun in May 2005 to create the first computer simulation of the entire human brain, right down to the molecular level.Because of the computational cost of simulation, computer experiments are used to perform inference such as uncertainty quantification.