3,212 research outputs found
Adaptive Robotic Information Gathering via Non-Stationary Gaussian Processes
Robotic Information Gathering (RIG) is a foundational research topic that
answers how a robot (team) collects informative data to efficiently build an
accurate model of an unknown target function under robot embodiment
constraints. RIG has many applications, including but not limited to autonomous
exploration and mapping, 3D reconstruction or inspection, search and rescue,
and environmental monitoring. A RIG system relies on a probabilistic model's
prediction uncertainty to identify critical areas for informative data
collection. Gaussian Processes (GPs) with stationary kernels have been widely
adopted for spatial modeling. However, real-world spatial data is typically
non-stationary -- different locations do not have the same degree of
variability. As a result, the prediction uncertainty does not accurately reveal
prediction error, limiting the success of RIG algorithms. We propose a family
of non-stationary kernels named Attentive Kernel (AK), which is simple, robust,
and can extend any existing kernel to a non-stationary one. We evaluate the new
kernel in elevation mapping tasks, where AK provides better accuracy and
uncertainty quantification over the commonly used stationary kernels and the
leading non-stationary kernels. The improved uncertainty quantification guides
the downstream informative planner to collect more valuable data around the
high-error area, further increasing prediction accuracy. A field experiment
demonstrates that the proposed method can guide an Autonomous Surface Vehicle
(ASV) to prioritize data collection in locations with significant spatial
variations, enabling the model to characterize salient environmental features.Comment: International Journal of Robotics Research (IJRR). arXiv admin note:
text overlap with arXiv:2205.0642
Recent Advances in Scaling Up Gaussian Process Predictive Models for Large Spatiotemporal Data
The expressive power of Gaussian process (GP) models comes at a cost of poor scalability in the size of the data. To improve their scalability, this paper presents an overview of our recent progress in scaling up GP models for large spatiotemporally correlated data through parallelization on clusters of machines, online learning, and nonmyopic active sensing/learning.Singapore-MIT Alliance (Subaward Agreement No. 41)Singapore-MIT Alliance (Subaward Agreement No. 52
Large-scale Heteroscedastic Regression via Gaussian Process
Heteroscedastic regression considering the varying noises among observations
has many applications in the fields like machine learning and statistics. Here
we focus on the heteroscedastic Gaussian process (HGP) regression which
integrates the latent function and the noise function together in a unified
non-parametric Bayesian framework. Though showing remarkable performance, HGP
suffers from the cubic time complexity, which strictly limits its application
to big data. To improve the scalability, we first develop a variational sparse
inference algorithm, named VSHGP, to handle large-scale datasets. Furthermore,
two variants are developed to improve the scalability and capability of VSHGP.
The first is stochastic VSHGP (SVSHGP) which derives a factorized evidence
lower bound, thus enhancing efficient stochastic variational inference. The
second is distributed VSHGP (DVSHGP) which (i) follows the Bayesian committee
machine formalism to distribute computations over multiple local VSHGP experts
with many inducing points; and (ii) adopts hybrid parameters for experts to
guard against over-fitting and capture local variety. The superiority of DVSHGP
and SVSHGP as compared to existing scalable heteroscedastic/homoscedastic GPs
is then extensively verified on various datasets.Comment: 14 pages, 15 figure
Online Localization and Tracking of Multiple Moving Speakers in Reverberant Environments
We address the problem of online localization and tracking of multiple moving
speakers in reverberant environments. The paper has the following
contributions. We use the direct-path relative transfer function (DP-RTF), an
inter-channel feature that encodes acoustic information robust against
reverberation, and we propose an online algorithm well suited for estimating
DP-RTFs associated with moving audio sources. Another crucial ingredient of the
proposed method is its ability to properly assign DP-RTFs to audio-source
directions. Towards this goal, we adopt a maximum-likelihood formulation and we
propose to use an exponentiated gradient (EG) to efficiently update
source-direction estimates starting from their currently available values. The
problem of multiple speaker tracking is computationally intractable because the
number of possible associations between observed source directions and physical
speakers grows exponentially with time. We adopt a Bayesian framework and we
propose a variational approximation of the posterior filtering distribution
associated with multiple speaker tracking, as well as an efficient variational
expectation-maximization (VEM) solver. The proposed online localization and
tracking method is thoroughly evaluated using two datasets that contain
recordings performed in real environments.Comment: IEEE Journal of Selected Topics in Signal Processing, 201
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