Systems | Information | Learning | Optimization
 

Following Natural Language Instructions in Unknown Environments

Video: https://vimeo.com/161102509 Natural language promises an efficient and flexible means for humans to communicate with robots, whether they are assisting the physically or cognitively impaired, or performing disaster mitigation tasks as our surrogates. Recent advancements have given rise to robots that are able to interpret natural language commands that direct …

Block CUR Decompostion: Matrix Approximation Using Groups of Columns and Inferring Relationships in High-dimensional Generalized Linear Autoregressive Processes

Video: https://vimeo.com/163595515 Urvashi Oswal – Block CUR Decomposition: Matrix Approximation using Groups of Columns A common problem in large-scale data analysis is approximating a matrix using a combination of specifically sampled rows and columns. Unfortunately, in many real-world environments, the ability to sample specific individual rows or columns of the …

Combinatorial Inference

Video : https://vimeo.com/182451507 We propose the combinatorial inference to explore the global topological structures of graphical models.In particular, we conduct hypothesis tests on many combinatorial graph properties including connectivity, hub detection, perfect matching, etc. Our methods can be applied to any graph property which is invariant under the deletion of …

A big conjecture in combinatorics that unexpectedly got proved last week and what this has to do with matrix multiplication

There’s a popular folk question about the card game Set: how many cards can you have on the table before there’s necessarily a legal play? The answer, which is pretty tricky to work out, and which is larger than most people expect, is 20. This is one case of a …

Balancing Computation and Communication in Distributed Optimization

Distributed optimization methods consist of two key aspects: communication and computation. More specifically, at every iteration (or every several iterations) of a distributed algorithm, each node in the network requires some form of information exchange with its neighboring nodes (communication) and the computation of a (sub)-gradient (computation). The standard way …

Analysis and Design of First-Order Methods for Smooth Strongly Convex Optimization & Low-Complexity Channel Estimation via the Sparse Fast Fourier Transform

Optimization algorithms play a fundamental role in analyzing the vast amount of data available today. Due to the need for fast optimization algorithms, there has been recent interest in understanding the mechanisms which enable optimization algorithms to converge quickly. We gain insight into these algorithms by leveraging techniques from control …

Approximate Optimality of Finite Models in Stochastic Control and Decentralized Control

For stochastic control problems with uncountable state and action spaces, the computation of optimal policies is known to be prohibitively hard. In this talk, we will present conditions under which finite models obtained through quantization of the state and action sets can be used to construct approximately optimal policies. Under …