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no code implementations • 18 Nov 2023 • Sihan Zeng, Sujay Bhatt, Eleonora Kreacic, Parisa Hassanzadeh, Alec Koppel, Sumitra Ganesh

We introduce the notion of "exploitability" of a mechanism to measure the relative gain in utility from misreport, and make the following important contributions in the paper: (i) Using sophisticated techniques inspired by differentiable convex programming literature, we design a numerically efficient approach for computing the exploitability of the PF mechanism.

no code implementations • 11 Oct 2023 • Jingxuan Zhu, Alec Koppel, Alvaro Velasquez, Ji Liu

In decentralized cooperative multi-armed bandits (MAB), each agent observes a distinct stream of rewards, and seeks to exchange information with others to select a sequence of arms so as to minimize its regret.

no code implementations • 3 Aug 2023 • Souradip Chakraborty, Amrit Singh Bedi, Alec Koppel, Dinesh Manocha, Huazheng Wang, Mengdi Wang, Furong Huang

We present a novel unified bilevel optimization-based framework, \textsf{PARL}, formulated to address the recently highlighted critical issue of policy alignment in reinforcement learning using utility or preference-based feedback.

no code implementations • 27 Jun 2023 • Zhan Gao, Aryan Mokhtari, Alec Koppel

Interestingly, our established non-asymptotic superlinear convergence rate demonstrates an explicit trade-off between the convergence speed and memory requirement, which to our knowledge, is the first of its kind.

no code implementations • 9 Jun 2023 • Bhrij Patel, Kasun Weerakoon, Wesley A. Suttle, Alec Koppel, Brian M. Sadler, Tianyi Zhou, Amrit Singh Bedi, Dinesh Manocha

We introduce Ada-NAV, a novel adaptive trajectory length scheme designed to enhance the training sample efficiency of reinforcement learning algorithms in robotic navigation tasks.

no code implementations • 8 Jun 2023 • Yifan Yang, Alec Koppel, Zheng Zhang

In this paper, we propose a novel gradient-based approach to enable the detection of noisy labels for the online learning of model parameters, named Online Gradient-based Robust Selection (OGRS).

no code implementations • 26 May 2023 • Aakash Lahoti, Spandan Senapati, Ketan Rajawat, Alec Koppel

On the other hand, the incremental Quasi-Newton method incurs a per-iteration complexity of $O(d^2)$ but its superlinear convergence rate has only been characterized asymptotically.

no code implementations • 15 Feb 2023 • Donghao Ying, Yuhao Ding, Alec Koppel, Javad Lavaei

The objective is to find a localized policy that maximizes the average of the team's local utility functions without the full observability of each agent in the team.

Multi-agent Reinforcement Learning
reinforcement-learning
**+1**

no code implementations • 28 Jan 2023 • Wesley A. Suttle, Amrit Singh Bedi, Bhrij Patel, Brian M. Sadler, Alec Koppel, Dinesh Manocha

Many existing reinforcement learning (RL) methods employ stochastic gradient iteration on the back end, whose stability hinges upon a hypothesis that the data-generating process mixes exponentially fast with a rate parameter that appears in the step-size selection.

no code implementations • 28 Jan 2023 • Souradip Chakraborty, Amrit Singh Bedi, Alec Koppel, Mengdi Wang, Furong Huang, Dinesh Manocha

Directed Exploration is a crucial challenge in reinforcement learning (RL), especially when rewards are sparse.

Model-based Reinforcement Learning
reinforcement-learning
**+1**

no code implementations • 24 Aug 2022 • Muhammad Aneeq uz Zaman, Alec Koppel, Sujay Bhatt, Tamer Başar

Given that the underlying Markov Decision Process (MDP) of the agent is communicating, we provide finite sample convergence guarantees in terms of convergence of the mean-field and control policy to the mean-field equilibrium.

no code implementations • 22 Jun 2022 • Amrit Singh Bedi, Chen Fan, Alec Koppel, Anit Kumar Sahu, Brian M. Sadler, Furong Huang, Dinesh Manocha

In this work, we quantitatively calibrate the performance of global and local models in federated learning through a multi-criterion optimization-based framework, which we cast as a constrained program.

no code implementations • 12 Jun 2022 • Souradip Chakraborty, Amrit Singh Bedi, Alec Koppel, Pratap Tokekar, Dinesh Manocha

In this paper, we present a novel Heavy-Tailed Stochastic Policy Gradient (HT-PSG) algorithm to deal with the challenges of sparse rewards in continuous control problems.

no code implementations • 2 Jun 2022 • Souradip Chakraborty, Amrit Singh Bedi, Alec Koppel, Brian M. Sadler, Furong Huang, Pratap Tokekar, Dinesh Manocha

Model-based approaches to reinforcement learning (MBRL) exhibit favorable performance in practice, but their theoretical guarantees in large spaces are mostly restricted to the setting when transition model is Gaussian or Lipschitz, and demands a posterior estimate whose representational complexity grows unbounded with time.

no code implementations • 28 Jan 2022 • Amrit Singh Bedi, Souradip Chakraborty, Anjaly Parayil, Brian Sadler, Pratap Tokekar, Alec Koppel

Doing so incurs a persistent bias that appears in the attenuation rate of the expected policy gradient norm, which is inversely proportional to the radius of the action space.

no code implementations • 21 Jan 2022 • Wesley A. Suttle, Alec Koppel, Ji Liu

We develop a new measure of the exploration/exploitation trade-off in infinite-horizon reinforcement learning problems called the occupancy information ratio (OIR), which is comprised of a ratio between the infinite-horizon average cost of a policy and the entropy of its long-term state occupancy measure.

1 code implementation • 18 Jan 2022 • Cole Hawkins, Alec Koppel, Zheng Zhang

A fundamental challenge in Bayesian inference is efficient representation of a target distribution.

no code implementations • NeurIPS 2021 • Jingxuan Zhu, Ethan Mulle, Christopher Salomon Smith, Alec Koppel, Ji Liu

This paper studies a decentralized multi-armed bandit problem in a multi-agent network.

no code implementations • 22 Oct 2021 • Alec Koppel, Amrit Singh Bedi, Bhargav Ganguly, Vaneet Aggarwal

We establish that the sample complexity to obtain near-globally optimal solutions matches tight dependencies on the cardinality of the state and action spaces, and exhibits classical scalings with respect to the network in accordance with multi-agent optimization.

Multi-agent Reinforcement Learning Reinforcement Learning (RL)

no code implementations • 13 Sep 2021 • Qinbo Bai, Amrit Singh Bedi, Mridul Agarwal, Alec Koppel, Vaneet Aggarwal

To achieve that, we advocate the use of randomized primal-dual approach to solve the CMDP problems and propose a conservative stochastic primal-dual algorithm (CSPDA) which is shown to exhibit $\tilde{\mathcal{O}}\left(1/\epsilon^2\right)$ sample complexity to achieve $\epsilon$-optimal cumulative reward with zero constraint violations.

no code implementations • 26 Jul 2021 • Michael E. Kepler, Alec Koppel, Amrit Singh Bedi, Daniel J. Stilwell

Gaussian processes (GPs) are a well-known nonparametric Bayesian inference technique, but they suffer from scalability problems for large sample sizes, and their performance can degrade for non-stationary or spatially heterogeneous data.

no code implementations • 15 Jun 2021 • Amrit Singh Bedi, Anjaly Parayil, Junyu Zhang, Mengdi Wang, Alec Koppel

To close this gap, we step towards persistent exploration in continuous space through policy parameterizations defined by distributions of heavier tails defined by tail-index parameter alpha, which increases the likelihood of jumping in state space.

no code implementations • 29 May 2021 • Junyu Zhang, Amrit Singh Bedi, Mengdi Wang, Alec Koppel

DSAC augments the classic critic step by requiring agents to (i) estimate their local occupancy measure in order to (ii) estimate the derivative of the local utility with respect to their occupancy measure, i. e., the "shadow reward".

no code implementations • 26 Mar 2021 • Ekaterina Tolstaya, Ethan Stump, Alec Koppel, Alejandro Ribeiro

We present a reinforcement learning algorithm for learning sparse non-parametric controllers in a Reproducing Kernel Hilbert Space.

no code implementations • 13 Nov 2020 • Abhishek Chakraborty, Ketan Rajawat, Alec Koppel

We consider expected risk minimization problems when the range of the estimator is required to be nonnegative, motivated by the settings of maximum likelihood estimation (MLE) and trajectory optimization.

no code implementations • 10 Sep 2020 • Bingjia Wang, Alec Koppel, Vikram Krishnamurthy

In supervised learning, we fit a single statistical model to a given data set, assuming that the data is associated with a singular task, which yields well-tuned models for specific use, but does not adapt well to new contexts.

no code implementations • NeurIPS 2020 • Junyu Zhang, Alec Koppel, Amrit Singh Bedi, Csaba Szepesvari, Mengdi Wang

Analogously to the Policy Gradient Theorem \cite{sutton2000policy} available for RL with cumulative rewards, we derive a new Variational Policy Gradient Theorem for RL with general utilities, which establishes that the parametrized policy gradient may be obtained as the solution of a stochastic saddle point problem involving the Fenchel dual of the utility function.

no code implementations • 2 Jul 2020 • Zhan Gao, Alec Koppel, Alejandro Ribeiro

Stochastic gradient descent is a canonical tool for addressing stochastic optimization problems, and forms the bedrock of modern machine learning and statistics.

no code implementations • L4DC 2020 • Amrit Singh Bedi, Dheeraj Peddireddy, Vaneet Aggarwal, Alec Koppel

Experimentally, we observe state of the art accuracy and complexity tradeoffs for GP bandit algorithms on various hyper-parameter tuning tasks, suggesting the merits of managing the complexity of GPs in bandit settings

no code implementations • 23 Apr 2020 • Alec Koppel, Hrusikesha Pradhan, Ketan Rajawat

Gaussian processes provide a framework for nonlinear nonparametric Bayesian inference widely applicable across science and engineering.

no code implementations • 9 Apr 2020 • Sujay Bhatt, Alec Koppel, Vikram Krishnamurthy

This paper considers policy search in continuous state-action reinforcement learning problems.

no code implementations • 27 Mar 2020 • Erfaun Noorani, Yagiz Savas, Alec Koppel, John Baras, Ufuk Topcu, Brian M. Sadler

In particular, we formulate a discrete optimization problem to choose only a subset of agents to transmit the message signal so that the variance of the signal-to-noise ratio (SNR) received by the base station is minimized while the expected SNR exceeds a desired threshold.

no code implementations • 23 Mar 2020 • Amrit Singh Bedi, Dheeraj Peddireddy, Vaneet Aggarwal, Brian M. Sadler, Alec Koppel

Doing so permits us to precisely characterize the trade-off between regret bounds of GP bandit algorithms and complexity of the posterior distributions depending on the compression parameter $\epsilon$ for both discrete and continuous action sets.

no code implementations • 27 Feb 2020 • Junyu Zhang, Amrit Singh Bedi, Mengdi Wang, Alec Koppel

To ameliorate this issue, we propose a new definition of risk, which we call caution, as a penalty function added to the dual objective of the linear programming (LP) formulation of reinforcement learning.

no code implementations • 18 Oct 2019 • Harshat Kumar, Alec Koppel, Alejandro Ribeiro

Actor-critic algorithms combine the merits of both approaches by alternating between steps to estimate the value function and policy gradient updates.

no code implementations • 25 Sep 2019 • Alec Koppel, Amrit Singh Bedi, Ketan Rajawat, Brian M. Sadler

Batch training of machine learning models based on neural networks is now well established, whereas to date streaming methods are largely based on linear models.

no code implementations • 12 Sep 2019 • Amrit Singh Bedi, Alec Koppel, Ketan Rajawat, Brian M. Sadler

Prior works control dynamic regret growth only for linear models.

no code implementations • 1 Aug 2019 • Hrusikesha Pradhan, Amrit Singh Bedi, Alec Koppel, Ketan Rajawat

We consider learning in decentralized heterogeneous networks: agents seek to minimize a convex functional that aggregates data across the network, while only having access to their local data streams.

no code implementations • 19 Jun 2019 • Kaiqing Zhang, Alec Koppel, Hao Zhu, Tamer Başar

Under a further strict saddle points assumption, this result establishes convergence to essentially locally-optimal policies of the underlying problem, and thus bridges the gap in existing literature on the convergence of PG methods.

1 code implementation • 19 Apr 2018 • Alec Koppel, Ekaterina Tolstaya, Ethan Stump, Alejandro Ribeiro

We consider Markov Decision Problems defined over continuous state and action spaces, where an autonomous agent seeks to learn a map from its states to actions so as to maximize its long-term discounted accumulation of rewards.

no code implementations • 11 Oct 2017 • Alec Koppel, Santiago Paternain, Cedric Richard, Alejandro Ribeiro

That is, we establish that with constant step-size selections agents' functions converge to a neighborhood of the globally optimal one while satisfying the consensus constraints as the penalty parameter is increased.

no code implementations • 13 Dec 2016 • Alec Koppel, Garrett Warnell, Ethan Stump, Alejandro Ribeiro

Despite their attractiveness, popular perception is that techniques for nonparametric function approximation do not scale to streaming data due to an intractable growth in the amount of storage they require.

no code implementations • 17 Jun 2016 • Alec Koppel, Brian M. Sadler, Alejandro Ribeiro

To do so, we depart from the canonical decentralized optimization framework where agreement constraints are enforced, and instead formulate a problem where each agent minimizes a global objective while enforcing network proximity constraints.

Multiagent Systems Systems and Control Computation

no code implementations • 15 Jun 2016 • Aryan Mokhtari, Alec Koppel, Alejandro Ribeiro

Algorithms that are parallel in either of these dimensions exist, but RAPSA is the first attempt at a methodology that is parallel in both the selection of blocks and the selection of elements of the training set.

no code implementations • 3 May 2016 • Alec Koppel, Garrett Warnell, Ethan Stump, Alejandro Ribeiro

We consider discriminative dictionary learning in a distributed online setting, where a network of agents aims to learn a common set of dictionary elements of a feature space and model parameters while sequentially receiving observations.

no code implementations • 22 Mar 2016 • Aryan Mokhtari, Alec Koppel, Alejandro Ribeiro

Algorithms that are parallel in either of these dimensions exist, but RAPSA is the first attempt at a methodology that is parallel in both, the selection of blocks and the selection of elements of the training set.

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