DROGO: Default Representation Objective via Graph Optimization in Reinforcement Learning
- URL: http://arxiv.org/abs/2602.00403v1
- Date: Fri, 30 Jan 2026 23:45:45 GMT
- Title: DROGO: Default Representation Objective via Graph Optimization in Reinforcement Learning
- Abstract summary: We derive an objective for directly approximating the principal eigenvector of the default representation with a neural network.<n>We empirically demonstrate the effectiveness of the objective in a number of environments, and apply the learned eigenvectors for reward shaping.
- Score: 14.390952817249746
- License: http://creativecommons.org/licenses/by/4.0/
- Abstract: In computational reinforcement learning, the default representation (DR) and its principal eigenvector have been shown to be effective for a wide variety of applications, including reward shaping, count-based exploration, option discovery, and transfer. However, in prior investigations, the eigenvectors of the DR were computed by first approximating the DR matrix, and then performing an eigendecomposition. This procedure is computationally expensive and does not scale to high-dimensional spaces. In this paper, we derive an objective for directly approximating the principal eigenvector of the DR with a neural network. We empirically demonstrate the effectiveness of the objective in a number of environments, and apply the learned eigenvectors for reward shaping.
Related papers
- Bayesian Optimization with Structured Measurements: A Vector-Valued RKHS Framework [10.074327344317116]
We study Bayesian optimization over a vector-valued operator with structured measurements.<n>This allows each observation to reveal substantially richer information about the underlying system.<n>We propose an algorithm based on the upper confidence bound (UCB) acquisition function with regret guarantees.
arXiv Detail & Related papers (2026-05-10T21:48:09Z) - Learning Reconstructive Embeddings in Reproducing Kernel Hilbert Spaces via the Representer Theorem [2.0573301822495553]
This work proposes new algorithms for reconstruction-based manifold learning within Reproducing Kernel Hilbert Spaces (RKHS)<n>A separable operator-valued kernel extends the formulation to vector-valued data while retaining the simplicity of a single scalar similarity function.<n>A subsequent kernel-alignment task projects the data into a lower-dimensional latent space whose Gram matrix aims to match the high-dimensional reconstruction kernel.
arXiv Detail & Related papers (2026-01-09T14:35:19Z) - Efficient Parametric SVD of Koopman Operator for Stochastic Dynamical Systems [51.54065545849027]
The Koopman operator provides a principled framework for analyzing nonlinear dynamical systems.<n>VAMPnet and DPNet have been proposed to learn the leading singular subspaces of the Koopman operator.<n>We propose a scalable and conceptually simple method for learning the top-$k$ singular functions of the Koopman operator.
arXiv Detail & Related papers (2025-07-09T18:55:48Z) - Learning Efficient Positional Encodings with Graph Neural Networks [109.8653020407373]
We introduce PEARL, a novel framework of learnable PEs for graphs.<n>PEARL approximates equivariant functions of eigenvectors with linear complexity, while rigorously establishing its stability and high expressive power.<n>Our analysis demonstrates that PEARL approximates equivariant functions of eigenvectors with linear complexity, while rigorously establishing its stability and high expressive power.
arXiv Detail & Related papers (2025-02-03T07:28:53Z) - Learning Active Subspaces and Discovering Important Features with Gaussian Radial Basis Functions Neural Networks [0.0]
We show that precious information is contained in the spectrum of the precision matrix that can be extracted once the training of the model is completed.
We conducted numerical experiments for regression, classification, and feature selection tasks.
Our results demonstrate that the proposed model does not only yield an attractive prediction performance compared to the competitors.
arXiv Detail & Related papers (2023-07-11T09:54:30Z) - Generalizing Backpropagation for Gradient-Based Interpretability [103.2998254573497]
We show that the gradient of a model is a special case of a more general formulation using semirings.
This observation allows us to generalize the backpropagation algorithm to efficiently compute other interpretable statistics.
arXiv Detail & Related papers (2023-07-06T15:19:53Z) - Neural Eigenfunctions Are Structured Representation Learners [93.53445940137618]
This paper introduces a structured, adaptive-length deep representation called Neural Eigenmap.
We show that, when the eigenfunction is derived from positive relations in a data augmentation setup, applying NeuralEF results in an objective function.
We demonstrate using such representations as adaptive-length codes in image retrieval systems.
arXiv Detail & Related papers (2022-10-23T07:17:55Z) - Minimax Estimation of Linear Functions of Eigenvectors in the Face of
Small Eigen-Gaps [95.62172085878132]
Eigenvector perturbation analysis plays a vital role in various statistical data science applications.
We develop a suite of statistical theory that characterizes the perturbation of arbitrary linear functions of an unknown eigenvector.
In order to mitigate a non-negligible bias issue inherent to the natural "plug-in" estimator, we develop de-biased estimators.
arXiv Detail & Related papers (2021-04-07T17:55:10Z) - Unsupervised Ground Metric Learning using Wasserstein Eigenvectors [0.0]
Key bottleneck is design of a "ground" cost which should be adapted to the task under study.
In this paper, we propose for the first time a canonical answer by computing the ground cost as a positive eigenvector of the function mapping a cost to the pairwise OT distances between the inputs.
We also introduce a scalable computational method using entropic regularization, which operates a principal component analysis dimensionality reduction.
arXiv Detail & Related papers (2021-02-11T21:32:59Z) - Automated Human Activity Recognition by Colliding Bodies
Optimization-based Optimal Feature Selection with Recurrent Neural Network [0.0]
Human Activity Recognition (HAR) is considered to be an efficient model in pervasive computation from sensor readings.
This paper tempts to implement the HAR system using deep learning with the data collected from smart sensors that are publicly available in the UC Irvine Machine Learning Repository (UCI)
arXiv Detail & Related papers (2020-10-07T10:58:46Z) - Eigendecomposition-Free Training of Deep Networks for Linear
Least-Square Problems [107.3868459697569]
We introduce an eigendecomposition-free approach to training a deep network.
We show that our approach is much more robust than explicit differentiation of the eigendecomposition.
Our method has better convergence properties and yields state-of-the-art results.
arXiv Detail & Related papers (2020-04-15T04:29:34Z)
This list is automatically generated from the titles and abstracts of the papers in this site.
This site does not guarantee the quality of this site (including all information) and is not responsible for any consequences.