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Xinyan Yan

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8 papers
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8

ICML Conference 2022 Conference Paper

Towards Uniformly Superhuman Autonomy via Subdominance Minimization

  • Brian D. Ziebart
  • Sanjiban Choudhury
  • Xinyan Yan
  • Paul Vernaza

Prevalent imitation learning methods seek to produce behavior that matches or exceeds average human performance. This often prevents achieving expert-level or superhuman performance when identifying the better demonstrations to imitate is difficult. We instead assume demonstrations are of varying quality and seek to induce behavior that is unambiguously better (i. e. , Pareto dominant or minimally subdominant) than all human demonstrations. Our minimum subdominance inverse optimal control training objective is primarily defined by high quality demonstrations; lower quality demonstrations, which are more easily dominated, are effectively ignored instead of degrading imitation. With increasing probability, our approach produces superhuman behavior incurring lower cost than demonstrations on the demonstrator’s unknown cost function{—}even if that cost function differs for each demonstration. We apply our approach on a computer cursor pointing task, producing behavior that is 78% superhuman, while minimizing demonstration suboptimality provides 50% superhuman behavior{—}and only 72% even after selective data cleaning.

UAI Conference 2021 Conference Paper

Explaining fast improvement in online imitation learning

  • Xinyan Yan
  • Byron Boots
  • Ching-An Cheng

Online imitation learning (IL) is an algorithmic framework that leverages interactions with expert policies for efficient policy optimization. Here policies are optimized by performing online learning on a sequence of loss functions that encourage the learner to mimic expert actions, and if the online learning has no regret, the agent can provably learn an expert-like policy. Online IL has demonstrated empirical successes in many applications and interestingly, its policy improvement speed observed in practice is usually much faster than existing theory suggests. In this work, we provide an explanation of this phenomenon. Let $\xi$ denote the policy class bias and assume the online IL loss functions are convex, smooth, and non-negative. We prove that, after $N$ rounds of online IL with stochastic feedback, the policy improves in $\tilde{O}(1/N + \sqrt{\xi/N})$ in both expectation and high probability. In other words, we show that adopting a sufficiently expressive policy class in online IL has two benefits: both the policy improvement speed increases and the performance bias decreases.

ICML Conference 2019 Conference Paper

Predictor-Corrector Policy Optimization

  • Ching-An Cheng
  • Xinyan Yan
  • Nathan D. Ratliff
  • Byron Boots

We present a predictor-corrector framework, called PicCoLO, that can transform a first-order model-free reinforcement or imitation learning algorithm into a new hybrid method that leverages predictive models to accelerate policy learning. The new “PicCoLOed” algorithm optimizes a policy by recursively repeating two steps: In the Prediction Step, the learner uses a model to predict the unseen future gradient and then applies the predicted estimate to update the policy; in the Correction Step, the learner runs the updated policy in the environment, receives the true gradient, and then corrects the policy using the gradient error. Unlike previous algorithms, PicCoLO corrects for the mistakes of using imperfect predicted gradients and hence does not suffer from model bias. The development of PicCoLO is made possible by a novel reduction from predictable online learning to adversarial online learning, which provides a systematic way to modify existing first-order algorithms to achieve the optimal regret with respect to predictable information. We show, in both theory and simulation, that the convergence rate of several first-order model-free algorithms can be improved by PicCoLO.

UAI Conference 2018 Conference Paper

Fast Policy Learning through Imitation and Reinforcement

  • Ching-An Cheng
  • Xinyan Yan
  • Nolan Wagener
  • Byron Boots

Imitation learning (IL) consists of a set of tools that leverage expert demonstrations to quickly learn policies. However, if the expert is suboptimal, IL can yield policies with inferior performance compared to reinforcement learning (RL). In this paper, we aim to provide an algorithm that combines the best aspects of RL and IL. We accomplish this by formulating several popular RL and IL algorithms in a common mirror descent framework, showing that these algorithms can be viewed as a variation on a single approach. We then propose LOKI, a strategy for policy learning that first performs a small but random number of IL iterations before switching to a policy gradient RL method. We show that if the switching time is properly randomized, LOKI can learn to outperform a suboptimal expert and converge faster than running policy gradient from scratch. Finally, we evaluate the performance of LOKI experimentally in several simulated environments.

ICRA Conference 2017 Conference Paper

Approximately optimal continuous-time motion planning and control via Probabilistic Inference

  • Mustafa Mukadam
  • Ching-An Cheng
  • Xinyan Yan
  • Byron Boots

The problem of optimal motion planing and control is fundamental in robotics. However, this problem is intractable for continuous-time stochastic systems in general and the solution is difficult to approximate if non-instantaneous nonlinear performance indices are present. In this work, we provide an efficient algorithm, PIPC (Probabilistic Inference for Planning and Control), that yields approximately optimal policies with arbitrary higher-order nonlinear performance indices. Using probabilistic inference and a Gaussian process representation of trajectories, PIPC exploits the underlying sparsity of the problem such that its complexity scales linearly in the number of nonlinear factors. We demonstrate the capabilities of our algorithm in a receding horizon setting with multiple systems in simulation.

ICML Conference 2017 Conference Paper

Prediction under Uncertainty in Sparse Spectrum Gaussian Processes with Applications to Filtering and Control

  • Yunpeng Pan
  • Xinyan Yan
  • Evangelos A. Theodorou
  • Byron Boots

Sparse Spectrum Gaussian Processes (SSGPs) are a powerful tool for scaling Gaussian processes (GPs) to large datasets. Existing SSGP algorithms for regression assume deterministic inputs, precluding their use in many real-world robotics and engineering applications where accounting for input uncertainty is crucial. We address this problem by proposing two analytic moment-based approaches with closed-form expressions for SSGP regression with uncertain inputs. Our methods are more general and scalable than their standard GP counterparts, and are naturally applicable to multi-step prediction or uncertainty propagation. We show that efficient algorithms for Bayesian filtering and stochastic model predictive control can use these methods, and we evaluate our algorithms with comparative analyses and both real-world and simulated experiments.

RLDM Conference 2017 Conference Abstract

Prediction under Uncertainty in Sparse Spectrum Gaussian Processes with Applications to Filtering and Control

  • Yunpeng Pan
  • Xinyan Yan
  • Byron Boots

In many sequential prediction and decision-making problems such as Bayesian filtering and probabilistic model-based planning and control, we need to cope with the challenge of prediction under uncertainty, where the goal is to compute the predictive distribution p(y) given a input distribution p(x) and a probabilistic model p(y|x). Computing the exact predictive distribution is generally intractable. In this work, we consider a special class of problems in which the input distribution p(x) is a multivariate Gaussian, and the probabilistic model p(y|x) is learned from data and specified by a sparse spectral representation of Gaussian processes (SSGPs). SSGPs are a powerful tool for scaling Gaussian processes (GPs) to large datasets by approximating the covariance function using finite-dimensional random Fourier features. Ex- isting SSGP algorithms for regression assume deterministic inputs, precluding their use in many sequential prediction and decision-making applications where accounting for input uncertainty is crucial. We address this prediction under uncertainty problem by proposing an exact moment-matching approach with closed- form expressions for predictive distributions. Our method is more general and scalable than its standard GP counterpart, and is naturally applicable to multi-step prediction or uncertainty propagation. We show that our method can be used to develop new algorithms for Bayesian filtering and stochastic model predictive control, and we evaluate the applicability of our method with both simulated and real-world experiments.

ICRA Conference 2016 Conference Paper

Gaussian Process Motion planning

  • Mustafa Mukadam
  • Xinyan Yan
  • Byron Boots

Motion planning is a fundamental tool in robotics, used to generate collision-free, smooth, trajectories, while satisfying task-dependent constraints. In this paper, we present a novel approach to motion planning using Gaussian processes. In contrast to most existing trajectory optimization algorithms, which rely on a discrete state parameterization in practice, we represent the continuous-time trajectory as a sample from a Gaussian process (GP) generated by a linear time-varying stochastic differential equation. We then provide a gradient-based optimization technique that optimizes continuous-time trajectories with respect to a cost functional. By exploiting GP interpolation, we develop the Gaussian Process Motion Planner (GPMP), that finds optimal trajectories parameterized by a small number of states. We benchmark our algorithm against recent trajectory optimization algorithms by solving 7-DOF robotic arm planning problems in simulation and validate our approach on a real 7-DOF WAM arm.

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