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🤖 AI & Machine Learning

Modeling and Simulation in computer science

This course provides a comprehensive, progressive exploration of modeling and simulation techniques within computer scie...

755
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🤖

Sections

1. Foundations of Modeling in Computer Science
47 views

Introduce core ideas of modeling, abstraction, and the model lifecycle to establish a solid base for all simulation work.

15 topics (15 versions)
1.1Introduction to Modeling Concepts
6
1.2Abstraction and Granularity
4
1.3Model Types and Taxonomies
2
1.4Requirements Elicitation for Models
3
1.5Model Formulation and Assumptions
2
1.6Model Validation vs Verification
3
1.7Model Reuse and Component Libraries
3
1.8Model Life Cycle and Lifecycle Phases
2
1.9Philosophies of Modeling in CS
4
1.10Formal vs Informal Modeling
3
1.11Model Evolution and Versioning
2
1.12Scalability Considerations in Modeling
2
1.13Ethical and Social Implications of Models
3
1.14Interdisciplinary Modeling
5
1.15Case Study: Building a Simple Model
3

2. Mathematical Foundations for Simulation
31 views

Build the mathematical toolkit essential for accurate and stable simulations, including linear algebra, calculus, probability, and numerical analysis.

15 topics (15 versions)
2.1Linear Algebra for Simulation
4
2.2Calculus for Continuous Models
1
2.3Probability Theory Essentials
1
2.4Random Variable Distributions
3
2.5Numerical Linear Algebra
2
2.6Numerical Integration and Differentiation
2
2.7Differential Equations Basics
2
2.8Stochastic Calculus Basics
2
2.9Matrix Decompositions
2
2.10Optimization Basics for Modeling
1
2.11Error Analysis and Stability
2
2.12Spectral Methods
3
2.13Monte Carlo Methods
2
2.14Graph Theory in Simulation
2
2.15Dimensionality Reduction Techniques
2

3. Discrete-Event Simulation Fundamentals
38 views

Explore discrete-event simulation (DES) as a powerful tool for modelling systems where state changes are event-driven.

15 topics (15 versions)
3.1Event Scheduling in DES
5
3.2Queueing Theory Basics
2
3.3Process Interaction and Resources
2
3.4State Charts and Event Lists
3
3.5Random Number Generation
3
3.6Interarrival Time Distributions
1
3.7Service Time Distributions
3
3.8Model Building in DES Tools
1
3.9Validation of DES Models
3
3.10Transient vs Steady-State Analysis
1
3.11Throughput and Utilization Metrics
2
3.12Blocking and Deadlocks in DES
4
3.13Cold Start and Warm-Up Periods
2
3.14Parallel DES Execution
3
3.15Case Study: Manufacturing DES
3

4. Agent-Based Modeling and Complex Systems
34 views

Study agents as autonomous decision-makers, their interactions, and how complex behavior emerges from simple rules.

15 topics (17 versions)
4.1Agents, Environments, and Interactions
3
17
4.2Emergence and Self-Organization
1
4.3Agent Communication Protocols
1
4.4Rule-Based vs Utility-Based Agents
1
4.5Topologies and Network Structures
1
4.6Heterogeneity and Adaptation
1
4.7Learning in Multi-Agent Systems
1
4.8Calibration and Validation of ABMs
1
4.9ABM Tools and Frameworks
3
4.10Applications in Social Systems
1
4.11Traffic and Crowd Modeling
1
4.12Ecological and Biological ABMs
1
4.13ABM Simulation Performance
1
4.14Reproducibility in ABM Experiments
1
4.15Ethical Considerations in ABMs
2

5. System Dynamics and Continuous Modeling
41 views

Delve into stock-and-flow models and feedback systems to capture continuous-time behavior in complex domains.

15 topics (15 versions)
5.1Stock-and-Flow Diagrams
7
5.2Differential Equations in System Dynamics
3
5.3Causal Loop Diagrams
2
5.4Feedback Mechanisms
3
5.5Delay and Time Lags
3
5.6Parameter Estimation in System Dynamics
3
5.7Model Reduction Techniques
3
5.8Sensitivity Analysis
2
5.9Validation of System Dynamics Models
2
5.10Policy Modeling and Scenario Analysis
2
5.11Continuous vs Discrete-Time Modeling
3
5.12Calibration and Verification
2
5.13Software Tools for System Dynamics
3
5.14Learning Curves and Population Models
2
5.15Case Studies: Economic and Social Systems
1

6. Numerical Methods and Scientific Computing for Simulation
28 views

Learn the numerical techniques that underlie stable and accurate simulations across domains.

15 topics (15 versions)
6.1Floating Point Arithmetic
6
6.2Linear Systems Solvers
2
6.3Numerical Integration Methods
2
6.4ODE and PDE Solvers
1
6.5Finite Difference Method
1
6.6Finite Element Method
6.7Stability and Convergence Criteria
1
6.8Mesh Generation and Adaptivity
1
6.9Time-Stepping Schemes
2
6.10Spectral Methods for PDEs
1
6.11Interpolation and Approximation
1
6.12Error Estimation and Adaptive Refinement
1
6.13Parallel Numerical Computation
3
6.14Software Libraries for Numerical Computing
3
6.15Benchmarking and Verification of Numerical Models
3

7. Stochastic Processes and Uncertainty Quantification
32 views

Incorporate randomness and quantify uncertainty to make robust predictions from simulations.

15 topics (15 versions)
7.1Random Walks and Markov Chains
5
7.2Poisson and Exponential Processes
3
7.3Brownian Motion and Diffusion
2
7.4Monte Carlo Sampling
2
7.5Variance Reduction Techniques
2
7.6Bayesian Inference for Model Parameters
2
7.7Bayesian Model Checking
2
7.8Polynomial Chaos and UQ
1
7.9Sensitivity Analysis and Sobol Indices
1
7.10Regression and Meta-modeling
2
7.11Credible Intervals and Hypothesis Testing
2
7.12Model Calibration under Uncertainty
2
7.13Scenario Analysis and Stress Testing
2
7.14Stochastic Differential Equations
2
7.15Temporal and Spatial Uncertainty Modeling
2

8. Data Structures, Algorithms, and Simulation Efficiency
30 views

Optimize the internal machinery of simulations through efficient data handling and computation.

15 topics (15 versions)
8.1Data Structures for Simulation State
6
8.2Event Queues and Priority Queues
2
8.3Hashing and Caching for Speed
1
8.4Memory Management and Profiling
1
8.5Parallelism and Concurrency
2
8.6Cache Locality and Performance
3
8.7Algorithmic Complexity and Optimization
2
8.8Data Access Patterns and Cache-Aware Design
2
8.9Random Number Streams Management
2
8.10Domain Decomposition
1
8.11Load Balancing in Simulations
1
8.12Profiling Tools and Techniques
1
8.13Vectorization and SIMD
2
8.14GPU Acceleration Concepts
2
8.15Testing and Debugging Simulations
2

9. Simulation Programming Languages and Frameworks
42 views

Survey and apply mainstream languages and frameworks used to implement different simulation paradigms.

15 topics (15 versions)
9.1Python for Simulation
14
9.2Java and C++ Performance
1
9.3SimPy and SimEvents
3
9.4NetLogo and Repast
2
9.5OMNeT++ for Network Simulation
1
9.6NS-3 for Networking
1
9.7MATLAB/Simulink Basics
1
9.8R for Simulation
2
9.9Domain-Specific Frameworks
2
9.10DSLs for Simulation
2
9.11Debugging Simulation Models
3
9.12Reproducibility in Simulation Code
3
9.13Interfacing with External Tools
2
9.14Version Control for Simulation Projects
3
9.15Case Studies in Framework Selection
2

10. Verification, Validation, and Experiment Design
34 views

Develop rigorous processes to ensure models are correct, credible, and useful for decision-making.

15 topics (15 versions)
10.1Verification Techniques and Checks
7
10.2Validation Against Real Data
1
10.3Experimental Design in Simulation
2
10.4Sensitivity and Uncertainty Analyses
3
10.5Confidence Assessment
2
10.6Hypothesis Testing in Simulation
2
10.7Reproducibility and Replicability
3
10.8Debugging and Fault Isolation
3
10.9Model Calibration Procedures
4
10.10Calibration vs Validation Data Sets
3
10.11Cross-Validation Approaches
1
10.12Statistical Metamodels
1
10.13Surrogate Modeling
1
10.14Protocols for Repeated Runs
1
10.15Documentation and Audit Trails

11. Performance Analysis and Optimization of Simulations
48 views

Learn to measure, analyze, and improve the speed and scalability of simulations.

15 topics (15 versions)
11.1Profiling for Bottlenecks
5
11.2Parallelization Strategies
2
11.3Vectorization and Hardware Utilization
3
11.4Load Balancing and Scheduling
3
11.5Cache-Aware Algorithms
2
11.6Memory Footprint Optimization
3
11.7Numerical Stability and Precision
3
11.8Benchmarking and Regression Testing
5
11.9Optimization of Parameter Sweeps
3
11.10Auto-Tuning and Auto-Configuration
2
11.11Model Reduction for Speed
3
11.12Real-time Simulation Considerations
4
11.13Energy Efficiency in Computation
4
11.14Performance Visualization
2
11.15Case Studies in Speed Gains
4

12. High-Performance Computing and Parallel Simulation
32 views

Scale simulations across clusters and accelerators, addressing challenges of HPC environments.

15 topics (15 versions)
12.1MPI and Distributed Memory
7
12.2OpenMP and Shared Memory Parallelism
2
12.3GPU Computing with CUDA/OpenCL
1
12.4Cloud-Based HPC and Resource Management
1
12.5Hybrid Parallelism
3
12.6Fault Tolerance in Large-Scale Simulations
1
12.7Scalable Data Management
2
12.8Parallel Random Number Generation
1
12.9Domain Decomposition in Practice
1
12.10Performance Modeling and Amdahl's Law
2
12.11Profiling MPI Programs
3
12.12Debugging Parallel Codes
2
12.13MPI I/O and Parallel File Systems
2
12.14Reproducibility in HPC Workloads
1
12.15Security and Compliance in HPC Environments
2

13. Data Management, Reproducibility, and Experiment Tracking
33 views

Establish robust data handling, versioning, and reproducible research practices for simulations.

15 topics (15 versions)
13.1Data Provenance and Lineage
5
13.2Data Cleaning for Simulations
1
13.3Metadata Standards for Models
1
13.4Experiment Tracking Tools
2
13.5Reproducible Environments and Containers
2
13.6Version Control for Data and Models
2
13.7Data Storage Architectures
2
13.8Secure Data Sharing and Access Control
2
13.9Benchmark Datasets for Simulation
4
13.10Data Visualization for Records
2
13.11Provenance in Collaborative Projects
2
13.12Documentation and Recording of Experiments
1
13.13Numerical Precision Management
2
13.14Ethical Data Usage and Privacy
1
13.15Long-Term Data Preservation
2

14. Visualization and Communication of Simulation Results
35 views

Develop effective visualization and storytelling skills to communicate complex simulation outcomes.

15 topics (15 versions)
14.1Static and Interactive Visualizations
5
14.2Multivariate Data Visualization
2
14.3Time-Series Visualization
2
14.4Dimensionality Reduction Visualizations
2
14.5Uncertainty Visualization
2
14.6Geographic and Spatial Visualization
2
14.7Visualization Toolchains and Dashboards
2
14.8Animation for Dynamic Systems
2
14.9Storytelling with Data and Models
2
14.10Visual Validation and Model Debugging
2
14.11Visualization for Stakeholders
2
14.123D Visualization and Immersive Tech
3
14.13Accessibility in Visualization
2
14.14Visualization of Parameter Sweeps
2
14.15Visualization of Optimization Landscapes
2

15. Applications and Case Studies in Modeling and Simulation
50 views

Apply learned techniques to real-world problems across domains to illustrate impact and best practices.

15 topics (15 versions)
15.1Network Performance and Traffic Modeling
11
15.2Healthcare System Simulation
3
15.3Supply Chain and Logistics Modeling
3
15.4Manufacturing and Industrial Engineering
3
15.5Energy Systems and Smart Grids
2
15.6Robotics and Autonomous Systems Simulation
3
15.7Environmental and Climate Modeling
3
15.8Social Dynamics and Policy Modeling
2
15.9Cybersecurity and Network Resilience
3
15.10Urban Mobility and Smart Cities
2
15.11Financial Risk and Market Simulations
2
15.12Quantum Computing Simulation Concepts
3
15.13Virtual Prototyping and Digital Twins
3
15.14Education and Pedagogical Simulations
4
15.15Ethical and Legal Considerations in Modeling
3
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