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arXiv research

A locally-built, LLM-digested index of recent arXiv papers in quant finance, geometry/topology, and statistical ML — keyword search served straight from SQLite on this machine.

169,051 papers · 148 categories

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48 results for Bayesian signal processing

Develops a Bayesian non-parametric approach for signal separation with varying components.

problem Signal separation with varying components across different input locations.
method Augments Gaussian Process Latent Variable Models with weighted sums of pure component signals and incorporates priors for linear weights.
result Framework allows for non-linear variations in signals and incorporates useful priors for linear weights.

Novel Bayesian meta-reinforcement learning framework improves traffic signal control robustness.

problem Lack of robustness and stability in adaptation for traffic signal control.
method Value-based Bayesian meta-reinforcement learning framework BM-DQN with fast-adaptation variation and DQN fast-update advantage.
result Framework adapts more quickly and robustly to new scenarios than previous methods.

Proposes a learned Bayesian Cramér-Rao bound for unknown measurement models.

problem Computing the Bayesian Cramér-Rao bound requires full knowledge of priors and measurement distributions.
method Introduces a Physics-encoded score neural network to learn priors and measurements.
result Demonstrates improved sample complexity and interpretability through domain knowledge incorporation.

A method for inferring ground-truth signals from degraded sensor data.

problem Inferring ground-truth signals from multiple degraded sensor signals.
method Iterative correction of degraded signals using a Bayesian multi-sensor data fusion method.
result The method effectively infers ground-truth signals from noisy and degraded sensor data.

Improved model for non-smooth signals with complex spectra.

problem Current models struggle with non-smooth signals and complex spectral structures.
method CGPCM and RGPCM models with causality and Bayesian nonparametric interpretations, improved variational inference.
result Proposed models show better performance on synthetic and real-world data.

Bayesian method suppresses low-frequency pulses in audio recordings.

problem Suppressing long pulses caused by mechanical defects in audio recordings.
method Bayesian approach using Gaussian Process for pulse location, signal interpolation, and tail estimation.
result Perceptual results similar to previous methods, performs well on naturally degraded signals.

BIGMACS aligns multiple ocean sediment cores using Bayesian inference and Gaussian process regression.

problem Aligning and synchronizing ages from different ocean sediment cores using multiple proxies.
method BIGMACS uses Bayesian inference and Gaussian process regression to align and integrate age proxies.
result Constructs a new Deep Northeastern Atlantic stack and age models for additional cores.

We introduce a new GP kernel based on the sinc function for band-limited signals.

problem Designing covariance kernels for band-limited signals.
method Proposes a Gaussian process kernel with a power spectral density modeled by a rectangular function.
result The sinc kernel facilitates efficient signal processing applications like stereo modulation and band-pass filtering.

We consider the problem of robust compressed sensing whose objective is to recover a high-dimensional sparse signal from compressed measurements corrupted by outliers. A new sparse Bayesian learning method is developed for robust compressed sensing. The basic idea of the proposed method is to identify and remove the ou…

2016-10-10abs ↗pdf ↗

In many signal processing problems, it may be fruitful to represent the signal under study in a frame. If a probabilistic approach is adopted, it becomes then necessary to estimate the hyper-parameters characterizing the probability distribution of the frame coefficients. This problem is difficult since in general the …

2009-11-15abs ↗pdf ↗

This work introduces a new data-driven estimator for the Bayesian Cramér-Rao bound using score matching.

problem Benchmarking the performance of statistical estimators and providing a principled metric for system design and optimization.
method Score matching technique to estimate the Bayesian Cramér-Rao bound from training data.
result Developed novel non-asymptotic bounds on the score matching error and the Bayesian CRB estimator.

This dissertation shows that careful injection of noise into sample data can substantially speed up Expectation-Maximization algorithms. Expectation-Maximization algorithms are a class of iterative algorithms for extracting maximum likelihood estimates from corrupted or incomplete data. The convergence speed-up is an e…

2014-11-24abs ↗pdf ↗

In this paper we review the concepts of Bayesian evidence and Bayes factors, also known as log odds ratios, and their application to model selection. The theory is presented along with a discussion of analytic, approximate and numerical techniques. Specific attention is paid to the Laplace approximation, variational Ba…

2014-11-11abs ↗pdf ↗

This paper reviews Bayesian methods for sparsity-aware modeling.

problem Uncertainty evaluation and robustness in sparsity-aware models.
method Incorporates sparsity-promoting priors into deep neural networks, Gaussian processes, and tensor decomposition.
result Bayesian methods improve model robustness and uncertainty evaluation.

Real music signals are highly variable, yet they have strong statistical structure. Prior information about the underlying physical mechanisms by which sounds are generated and rules by which complex sound structure is constructed (notes, chords, a complete musical score), can be naturally unified using Bayesian modell…

2016-06-03abs ↗pdf ↗

Bayesian method improves EEG source localization and estimates skull conductivity.

problem Improving EEG source localization accuracy with unknown skull conductivity.
method Bayesian Approximation Error approach using conditional Gaussian regression, iterative optimization, and physics-informed learning.
result Clear improvements in EEG source localization accuracy and feasible estimates for unknown skull conductivity.

Decoupled PFNs improve sequential decision-making by separating epistemic and aleatoric uncertainties.

problem Sequential decision-making requires distinguishing between epistemic uncertainty about latent signals and irreducible aleatoric observation noise.
method Developed a decoupled PFN architecture that uses query-level labels to train separate heads for latent signal and aleatoric noise.
result Empirically, decoupled PFNs mitigate the failure mode of total-variance exploration in noisy and heteroscedastic settings.

Bayesian topological learning improves EEG signal analysis for brain state classification.

problem Challenges in classifying and analyzing noisy, nonlinear, nonstationary EEG signals.
method Persistent homology with Bayesian framework to track topological features and incorporate prior knowledge.
result Bayesian topological learning outperforms existing methods for noisy EEG classification.

Sampling is a fundamental topic in graph signal processing, having found applications in estimation, clustering, and video compression. In contrast to traditional signal processing, the irregularity of the signal domain makes selecting a sampling set non-trivial and hard to analyze. Indeed, though conditions for graph …

2017-04-05abs ↗pdf ↗

This letter presents a novel Block Bayesian Hypothesis Testing Algorithm (Block-BHTA) for reconstructing block sparse signals with unknown block structures. The Block-BHTA comprises the detection and recovery of the supports, and the estimation of the amplitudes of the block sparse signal. The support detection and rec…

2015-08-22abs ↗pdf ↗

Bayesian approach improves deep image prior for image reconstruction.

problem Improving performance of deep image prior for image reconstruction tasks.
method Derive Bayesian approach using stochastic gradient Langevin, showing asymptotic equivalence to Gaussian process prior.
result Improves denoising and impainting results for image reconstruction tasks.

Spectral estimation (SE) aims to identify how the energy of a signal (e.g., a time series) is distributed across different frequencies. This can become particularly challenging when only partial and noisy observations of the signal are available, where current methods fail to handle uncertainty appropriately. In this c…

2018-09-06abs ↗pdf ↗

We introduce a new regression framework, Gaussian process regression networks (GPRN), which combines the structural properties of Bayesian neural networks with the non-parametric flexibility of Gaussian processes. This model accommodates input dependent signal and noise correlations between multiple response variables,…

2011-10-19abs ↗pdf ↗

This work improves mixing rates for Bayesian CART, a key component of BART.

problem Understanding and improving mixing rates for Bayesian inference with MCMC.
method Derived upper bounds on mixing times, provided sufficient conditions for polynomial mixing, and proposed Twiggy Bayesian CART.
result Twiggy Bayesian CART achieves polynomial mixing without assuming signal connectivity.

Bayesian priors improve neural network performance on weak signals.

problem Challenges in encoding domain knowledge for weak signals in neural networks.
method Proposed a new joint prior over local scale parameters for feature sparsity and signal-to-noise ratio, optimized with Stein gradient.
result Improved prediction accuracy on various datasets, including genetics applications with weak and sparse signals.