The echo train ordering is randomly shuffled during the acquisition according to variable density Poisson disk sampling masks. We confirm these with simulations on a small example. Distributed Learning in Routing Games: Spring Syrine Krichene Stochastic optimization with applications to distributed routing. In the context of model predictive control, the algorithm is shown to be robust to noise in the initial data and boundary conditions. We illustrate these results on numerical examples.

Delle Monache and J. On Learning How Players Learn: This scale is an opportunity to collect and analyze large, high-dimensional data sets, and a way that enables us to conduct experiments at scale. We also prove a general lower bound on the worst-case regret for any online algorithm. We also develop an adaptive averaging heuristic that empirically speeds up the convergence, and in many cases performs significantly better than popular heuristics such as restarting. The method mitigates image blur and rerospectively synthesizes T1-weighted and T2-weighted volumetric images. We study the resulting rest points, and relate them to the Nash equilibria of the one-shot congestion game.

We confirm these with simulations on a small example. The numerical approximation is carried out using a Godunov scheme, modified to take into account the effects of talm onramp buffer. In particular, the discounted Hedge algorithm is proved to belong to this class, which guarantees its convergence. We provide guarantees on adaptive averaging in continuous-time, prove that it preserves the quadratic convergence rate of accelerated first-order methods in discrete-time, and give numerical experiments to compare it with existing berkeeley, such as adaptive restarting.

As an example, we show that the replicator dynamics an example of mirror descent on the simplex can be accelerated using a simple averaging scheme.

## Kate Harrison

Adjoint-based optimization on a network of discretized scalar conservation law PDEs with applications to coordinated ramp metering. Online learning and tall optimization algorithms have become essential tools for solving problems in modern machine learning, statistics and engineering.

Kristin Stephens-Martinez is a Ph. We show that the gradient of this term can be efficiently computed by maintaining estimates of the Gramians, and develop variance reduction schemes to improve the quality of the estimates.

By varying the repetition times TR accross the different echo trains, T1 sensitivity is encoded in the imaging data.

We study the resulting rest points, and relate them to the Nash equilibria of the one-shot congestion game. A characterization of Nash equilibria is given, and it is shown, in particular, that there may exist multiple equilibria that have different total costs. This is motivated by the fact that this spatiotemporal information can easily be used as the basis for inferences for a person’s activities. My thesis was on Continuous and discrete time dynamics for online learning and convex optimization.

Many algorithms for online learning and convex optimization can be tslk as a discretization of a continuous time process, and studying the continuous time dynamics offers many advantages: We develop a method to design an ODE for the problem using an inverse Disssertation argument: We make a connection between the discrete Hedge algorithm dissertagion online learning, and an ODE on the simplex, known as the replicator dynamics.

Estimation of Learning Dynamics in the Routing Game. The method accounts for temporal dynamics during the echo trains to reduce image blur and resolve multiple image contrasts along the T2 relaxation curve. In Summer I interned at Arterys. Optimization Methods for Finance. We are concerned with convergence of the actual sequence. I was awarded the Leon O. This is a common problem in first-order methods for convex optimization and online-learning algorithms, such as mirror descent.

We prove a bound on the rate of change of an energy function associated disserttaion the problem, then use it to derive estimates of convergence rates of talo function values almost surely and in expectationboth for persistent and asymptotically vanishing noise.

A simple Stackelberg strategy, the non-compliant first NCF strategy, is introduced, which can be computed in polynomial time, and it is shown to be optimal for this new class of latency on dissertationn networks.

The method is applied to the problem of coordinated ramp metering on freeway networks.

# Jon Tamir – Home

This work is applied to disserfation and simulating congestion mitigation on transportation networks, in which a coordinator traffic management agency can choose to route a fraction of compliant drivers, while the rest of the drivers choose their routes selfishly. In particular, we show how the asymptotic rate of covariation affects the choice of parameters and, ultimately, the convergence rate.

We give different interpretations of the ODE, inspired from physics and statistics. In this thesis, we apply this paradigm to two problems: The rest dissertwtion of the replicator dynamics, also called evolutionary stable points, are known to coincide with a superset dissergation Nash equilibria, called restricted equilibria. Then, by carefully discretizing the ODE, we obtain a family of accelerated algorithms with optimal rate of convergence. We provide a simple polynomial-time algorithm for computing the best Nash equilibrium, i.

I like working with undergraduates on interesting projects.