NME 130 is a new class on "information systems" that we are planning.
Participants:
Discussion sessions
Date
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Topics
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Discussion leaders
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Unavailable
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15 May (Fri) @ 3 pm, 110 Steele
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Optimization
- Linear programming/duality
- Optimization and lower bounds, with applications in control
- Computational complexity?
- Convex analysis
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John, Ben
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Nader, Michelle, Tracy, Pablo, Ufuk
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20 May (Wed) @ 12 pm
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Distributed/networked systems
- Graph theory
- Distributed optimization and computation (large scale)
- Network algorithms (optimization; exploit networked structure)
- Graphical models
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Steven, Javad
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Richard (phone?), Nader
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28 May (Thu) @ 12 pm
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Information theory
- Method of types, large numbers, AEP
- Source/channel coding theorem
- Coding/network coding
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Tracey, Michelle
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Richard, Ufuk, Nader
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3 Jun (Wed) @ 12 pm
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Uncertainty
- Robustness and uncertainty (controls-ish)
- Bayesian theory, belief propogation
- Hypothesis testing, inference, decision making
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Ufuk, Nader
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Richard
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16 Jun (Tue) @ 3 pm
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Dynamical Systems
- Stability (including Lyapunov and Nyquist)
- Specifications (control versus CS)
- Equivalence and abstraction (simulation, bisimulation, model reduction?)
- Hybrid systems, automata theory
- Time delay, time-varying systems
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Nader, Andy
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Michelle, John, Tracey
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19 Jun (Fri) @ 11 am
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Graphical models
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Andreas
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John (phone?)
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24 Jun (Wed) @ 4 pm
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Synthesis theory
- Synthesis theory and hardbounds (Bode, Shannon, Carnot, Turing)
- Bayesian theory, belief propogation
- Hypothesis testing, inference, decision making
- Computational complexity
- Estimation and detection
- Coding/network coding
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TBD
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26 Jun (Fri) @ 11 am
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Course planning
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Richard
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2009-10 course plan
Track
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Fall
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Winter
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Spring
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ACM/EE 116 (Owhadi)
Introduction to Stochastic Processes and Modeling
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ACM 216 (???)
Markov Chains, Discrete Stochastic Processes and Applications
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NME 130
- Discrete systems
- Graphs and optimization (shortest distance, max cut, etc)
- Temporal logic, automata, SAT
- Algorithm complexity (build on CS/EE/Ma 129)
- Dynamics and stability
- Nonlinear discrete time systems, hybrid systems
- Stability and stability certificates (Lyapunov, SOS)
- Feedback systems, small gain theorems
- Uncertainty and robustness
- Representation of uncertainty
- Operator bounds; links to small gain
- Robust performance: discrete time, NL?
- Need to say all of this in a non-control specific way
- Fundamental limits: Bode, Shannon, Bode/Shannon
- Case studies
- Internet: layering as optimization
- One more (not the cell)
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Optimization and algorithms
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- Note: ACM 104/CDS 201 is a possibility for students who need more linear algebra and applied analysis
- Perhaps rename this row "Linear algebra and optimization"
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ACM 113 (???)
- Convex analysis
- Linear programming/duality
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Information and complexity
- Information theory and coding
- Finite state automata, Turing machines, computability
- Data compression
- Note: EE 126 is an alternative to this course for people who have already seen automata, computability, etc
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Information and complexity
- Channel coding, capacity and rate theorem
- Time complexity of algorithms; P vs NP
- Formal logic and provability
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Data-driven modeling
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CS 155 (Krause)
- Graphical models
- Will eventually move to second term
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ACM
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- ACM 104/CDS 201 - Linear Algebra and Applied Operator Theory
- ACM 118 - Methods in Applied Statistics and Data Analysis
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- ACM 105 - Applied Real and Functional Analysis
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- ACM 217 - Advanced Topics in Stochastic Analysis
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CS
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- CS/EE 143 - Communication Networks (Low)
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- CS/EE 146 - Advanced Networking (Low)
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- CS/EE 145 - Projects in Networking
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CDS
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CDS 210a - Control theory
- State space models, Lyapunov stability
- Reachability, observability, state space design
- Frequency domain techniques
- Fundamental limits and robustness
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CDS 110b - Optimization-based control
- Optimal control theory
- Trajectory generation, receding horizon control
- Kalman filtering
CDS 212- Modern control theory
- Robust control of nonlinear systems
- Fundamental limits of performance
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- CDS 142 - Stochastic System Analysis and Bayesian Updating
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EE
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- EE 126a - Information Theory (Effros)
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- EE 126b - Information Theory (Effros)
- EE 163a - Communications Theory (Quirk?)
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- EE 163b - Communications Theory (Quirk?)
- EE 164 - Stochastic and Adaptive Signal Processing
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