33,535 research outputs found
Scalable methods for computing state similarity in deterministic Markov Decision Processes
We present new algorithms for computing and approximating bisimulation
metrics in Markov Decision Processes (MDPs). Bisimulation metrics are an
elegant formalism that capture behavioral equivalence between states and
provide strong theoretical guarantees on differences in optimal behaviour.
Unfortunately, their computation is expensive and requires a tabular
representation of the states, which has thus far rendered them impractical for
large problems. In this paper we present a new version of the metric that is
tied to a behavior policy in an MDP, along with an analysis of its theoretical
properties. We then present two new algorithms for approximating bisimulation
metrics in large, deterministic MDPs. The first does so via sampling and is
guaranteed to converge to the true metric. The second is a differentiable loss
which allows us to learn an approximation even for continuous state MDPs, which
prior to this work had not been possible.Comment: To appear in Proceedings of the Thirty-Fourth AAAI Conference on
Artificial Intelligence (AAAI-20
Count-Based Exploration in Feature Space for Reinforcement Learning
We introduce a new count-based optimistic exploration algorithm for
Reinforcement Learning (RL) that is feasible in environments with
high-dimensional state-action spaces. The success of RL algorithms in these
domains depends crucially on generalisation from limited training experience.
Function approximation techniques enable RL agents to generalise in order to
estimate the value of unvisited states, but at present few methods enable
generalisation regarding uncertainty. This has prevented the combination of
scalable RL algorithms with efficient exploration strategies that drive the
agent to reduce its uncertainty. We present a new method for computing a
generalised state visit-count, which allows the agent to estimate the
uncertainty associated with any state. Our \phi-pseudocount achieves
generalisation by exploiting same feature representation of the state space
that is used for value function approximation. States that have less frequently
observed features are deemed more uncertain. The \phi-Exploration-Bonus
algorithm rewards the agent for exploring in feature space rather than in the
untransformed state space. The method is simpler and less computationally
expensive than some previous proposals, and achieves near state-of-the-art
results on high-dimensional RL benchmarks.Comment: Conference: Twenty-sixth International Joint Conference on Artificial
Intelligence (IJCAI-17), 8 pages, 1 figur
Laplacian Mixture Modeling for Network Analysis and Unsupervised Learning on Graphs
Laplacian mixture models identify overlapping regions of influence in
unlabeled graph and network data in a scalable and computationally efficient
way, yielding useful low-dimensional representations. By combining Laplacian
eigenspace and finite mixture modeling methods, they provide probabilistic or
fuzzy dimensionality reductions or domain decompositions for a variety of input
data types, including mixture distributions, feature vectors, and graphs or
networks. Provable optimal recovery using the algorithm is analytically shown
for a nontrivial class of cluster graphs. Heuristic approximations for scalable
high-performance implementations are described and empirically tested.
Connections to PageRank and community detection in network analysis demonstrate
the wide applicability of this approach. The origins of fuzzy spectral methods,
beginning with generalized heat or diffusion equations in physics, are reviewed
and summarized. Comparisons to other dimensionality reduction and clustering
methods for challenging unsupervised machine learning problems are also
discussed.Comment: 13 figures, 35 reference
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