MCRobot (Markov Chain Robot) is a simulation program that demonstrates the principles involved with the Markov Chain Monte Carlo (or MCMC) methods currently used in Bayesian statistical analyses.
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MCRobot Crack demonstrates how MCMC methods work by sampling an approximate posterior distribution, and this is done using the Markov Chain method.
MCRobot uses various Bayesian methods to model the processes and phenomena within the simulation, and it allows the user to explore a wide range of values for the parameters. This simulator should be a fairly useful tool, because there are not many programs available to help teach the principles of Bayesian statistics.
– Calculate the approximate posterior distribution of the parameters and evaluate the parameters by considering the posterior distribution and a prior distribution
– Run simulation multiple times to see the effects of different parameter values on the model output
– Run multiple MCMC chains to explore the model space and convergence
– Visualise the MCMC output in the form of multiple parameter plots
– Optional graphics:
– histogram plots can be generated to better understand the convergence of the chains
– If two chains are run, the first chain will be split into two subsequent chains
– A per-chain summaries grid will be generated to extract information about the chain, including the acceptance rate and autocorrelation
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MCRobot is a free graphical, simulation program for simulating the following:
* **Monte Carlo without replacement**: This is used for generating samples from
any distribution (such as uniform, normal, exponential, Poisson, etc.); it is
guaranteed to generate samples randomly drawn from the correct distribution,
independent of any previous samples.
* **Random number generation**: Random number generators are used to
generate, with good aproximation, samples from any given distribution.
* **Simulated annealing**: Simulated annealing is used in many areas,
including optimization. It is possible to employ this program to implement
other meta-heuristics, although this isn’t currently the focus of our efforts.
Note: We are currently not including a random number generator, which is
implemented by the MCRobot External Library.
* **Eigenvalue calculations**: When simulating from any of the above
distributions, some additional calculations must be made to determine
variances and covariances. The results of these are stored for the later
derivations, and the results of the eigenvalue calculations are available
MCRobot Additional Features:
Other features include:
* **Boolean logic**: Boolean logic operators and functions such as OR
(“, &”, “&&”), AND (“|”, “||”), and etc. can be used to perform
arbitrary boolean operations.
* **Hardware accelerators**: Support for hardware-specific accelerators
(such as the FPU, GMP, etc.) is possible but disabled by default.
* **Graphical user interface (GUI)**: A GUI tool is provided to convert
values between various types (int, float, double, etc.) and allow
* **Online help**: Complete help instructions, including a thorough
discussion of the MCRobot code is available from within the program.
* **Export/import utilities**: Support for exporting ASCII and binary
record graphs to the standard output.
* **Manual sample sizes**: You can define the number of samples
generated (from the Monte Carlo component) at any time. This can be
used to simulate from very large data sets and then save the results to
a file for later analysis.
* **Manual saving and loading
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MCRobot is an electronic circuit simulator, which in turn simulates what the Markov Chain Monte Carlo (or MCMC) methods do in practice, thus enabling students to better understand these methods.
The principle of operation is relatively simple: a sequence of state transitions are generated by randomly sampling from the prior distribution (according to the initial guess of parameters) and then verify the a posteriori probability distribution of unknown parameters (under the model assumptions).
MCRobot’s ability to generate such sequences of state transitions from the prior distribution is still an open issue. The current version of the simulator implements a Gibbs sampling algorithm.
MCRobot is intended for use as a simulation package and does not aim at enabling users to perform any Monte Carlo simulation and generate their own.
The core simulator is implemented in Python and other programs are used to render a simulation screen which provides,
1) A general view of the whole chain of state transitions,
2) A zoom window where an “inspection” of any point of the chain is possible.
MCRobot Quick Start:
I am glad to make available a Python tutorial that will help users get started with the simulator.
To visualize the core simulator, the tutorial uses the Tkinter GUI Framework, which is part of the standard Python distribution.
This tutorial assumes that the student has previously installed the Python interpreter and can run a Python script from the command-line.
To run the tutorial, the student must have a Python-interpreter and must have Tkinter installed.
In addition, a simulation “location” can be used (such as the home directory or a university student’s PC), as well as a title for the simulation screen.
The tutorial consists of several Python scripts, which should be run in turn to enable you to access the different sections of the tutorial.
The final simulation screen is available after the execution of “demonstrate_robot.py”, which takes a few minutes.
The tutorial “demo_robot.py” is implemented in steps as to enable the user to continuously monitor and analyze the simulation.
The program is available for download from the following link (only the demo is available):
1) Markov Chain Simulation
2) Gibbs Sampling
4) Model Averaging
5) Data Assimilation
What’s New in the?
MCRobot is a markov chain reanimation robot. This means that it randomly moves around a
space, as long as it is not on top of itself.
MCRobot’s purpose is to test the capabilities of the MCMC algorithms currently
used in scientific work. To do this, it has been designed to behave like real scientists
by repeating the following operations. Note that we are describing these operations
as if they are told to be performed by the program.
1. Perform the experiment (one trial)
The program must be loaded into memory and then, after some time (a ‘burn in’
period), it must be able to estimate an experimentally determined model
2. Perform the analysis (until convergence)
The program must be able to fit statistical models to experimental data.
3. Perform the analysis for multiple parameters
The program must be able to fit multiple statistical models and determine
which of them is the best.
4. Perform the analysis for multiple experiments
The program must be able to fit multiple models to different data sets
and determine which is the best.
MCRobot consists of an instruction set and a code base written in C++. The
instruction set performs the steps described in the above list and the code
base ensures that the instruction set behaves in the correct way.
The instruction set is broken up into four classes.
1. It contains a class that represents the ‘world’, a class that stores the
Markov chain’s state, and three classes that control the Markov chain’s
2. It contains a class that represents the different possible trial
structures, and two classes that control whether or not the program will
perform trials in parallel.
3. It contains a class that controls what models the program will fit, and
three classes that control the process of fitting models.
4. It contains a class that controls the program’s behaviour before and
after a trial, and two classes that control how the Markov chain is moved
after each new data set.
The code base is split up into two classes. The code that directly
controls the Markov chain is in the class MCRobotWorker. The code that
controls the data and statistical models is in the class MCRobotCollection.
MCRobot Data Generation:
The data set used for this
OS: Windows 7, Windows 8, Windows 8.1, Windows 10 (32 or 64 bit)
Processor: Intel Core i3 (2 cores, 2 threads), Intel Core i5 (2 cores, 4 threads), Intel Core i7 (4 cores, 8 threads)
Graphics: Intel HD 4600, NVIDIA Geforce GT 750
Storage: 5GB available space
Network: Broadband internet connection