#### About

The topic of the present workshop is stochastic optimal control theory and its relations to machine learning and robotics, statistical mechanics, quantum theory and the theory of large deviations.

For many years, the deterministic control theory has dominated control applications in robotics and autonomous systems, mainly because of computational restrictions. Relatively recently, there have been several approaches to restate the stochastic optimal control computation as an inference problem and to obtain efficient solutions using approximate inference. In these control theories, concepts from classical mechanics and control theory (variational calculus and Hamilton-Jacobi equations) and stochastic processes and large deviations theory (Feynman-Kac formula) are intimately related. This approach provides novel insights for the design of efficient algorithms to efficiently compute optimal stochastic control solutions in robotics.

The Hamilton Jacobi equation also plays a crucial role in the computation of non-equilibrium large deviations. In recent developments, this large deviation theory has provided a rather general framework in which the macrobehavior of non-equilibrium systems can be studied. In addition, there is a connection between these control formulations and Nelsons stochastic mechanics, which aims to provide a particle interpretation of quantum mechanics.

This workshop brings together researchers from control theory, machine learning, physics and mathematics to explore these connections.

To find out more please visit the workshop´s homepage.

#### Related categories

## Uploaded videos:

### The statistical physics of optimal control theory

Oct 16, 2012

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7501 Views

## Control and statistical physics

### A thermodynamical theory for nonequilibrium systems

Oct 16, 2012

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3555 Views

### Physical implementations and limitations in control theory

Oct 16, 2012

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3974 Views

### The thermodynamics of port-Hamiltonian systems

Oct 16, 2012

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3579 Views

### Stochastic Control as a Non-Equilibrium Statistical Physics: Gauge Invariant Bel...

Oct 16, 2012

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4066 Views

### Fluid Mechanics = "Single"-Particle Control: From Control to Turbulence and Back

Oct 16, 2012

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4187 Views

### Maxwell demons, feedback control, and fluctuation theorems

Oct 16, 2012

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4014 Views

### PAC-Bayesian Analysis: A Link Between Inference and Statistical Physics

Oct 16, 2012

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3949 Views

## Duality between control and inference

### Duality Between Estimation and Control

Oct 16, 2012

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4312 Views

### Path integral control from probabilistic viewpoint

Oct 16, 2012

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4243 Views

### Spontaneous Symmetry Breaking at the Fluctuating Level

Oct 16, 2012

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3028 Views

## Control of stochastic systems

### Stochastic variational principles for dissipative and conservative systems

Oct 16, 2012

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3890 Views

### Attention as a Design Criterion and Analysis Tool in Control Problems

Oct 16, 2012

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3685 Views

## Perception and action, duality in biology

### Free energy and active inference

Oct 16, 2012

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13007 Views

### How to discount Information: Information flow in sensing-acting systems and the ...

Oct 16, 2012

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4027 Views

### From linearly-solvable optimal control to trajectory optimization, and (hopefull...

Oct 16, 2012

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4187 Views

### Thermodynamics as a theory of bounded rational decision-making

Oct 16, 2012

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4656 Views

## Algorithms for control

### A message-passing approach to stochastic optimization and inverse dynamical prob...

Oct 16, 2012

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3233 Views

### Activation and control of extreme trajectories in network dynamics

Oct 16, 2012

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2820 Views

## Inference and statistical physics

### An Optimal Architecture for Decentralized Control over Posets

Oct 16, 2012

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2972 Views

### Occam's razor in massive data acquisition: a statistical physics approach

Oct 16, 2012

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4289 Views

### Making centralized (graph) computation faster, distributed and (at times) better

Oct 16, 2012

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2582 Views

## Quantum mechanics

### The Quantum Geometric Limit

Oct 16, 2012

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4002 Views

### Quantum information and stabilization of quantum states by feedback control

Oct 16, 2012

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3467 Views

## Robotics and control

### Free Energy and Relative Entropy Dualities: Connections to Path Integral Control...

Oct 16, 2012

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5564 Views

### Iterative Path Integral Method for Nonlinear Stochastic Optimal Control

Oct 16, 2012

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6726 Views

### Generalizations of the Theory of Linearly Solvable MDPs

Oct 16, 2012

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3357 Views