Research
On-device research index

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.

168,695 papers · 148 categories

Trend · papers per month

58116173231 · Jun 202019922001200920172026
48 results for Gaussian streams

Paper tackles online multi-source domain adaptation using Gaussian mixtures and dictionary learning.

problem Adapting multiple, heterogeneous source domains to a target domain in a streaming fashion.
method Introduces a novel approach for online fitting of Gaussian Mixture Models based on Wasserstein geometry, combined with dataset dictionary learning.
result Demonstrates ability to adapt 'on the fly' to target domain data streams.

In this paper, we study the problem of learning a mixture of Gaussians with streaming data: given a stream of NN points in dd dimensions generated by an unknown mixture of kk spherical Gaussians, the goal is to estimate the model parameters using a single pass over the data stream. We analyze a streaming version of …

2017-07-08abs ↗pdf ↗

SkyGP improves Gaussian process scalability for real-time learning.

problem Scalability issues with exact Gaussian processes for streaming data.
method Streaming kernel-induced progressively generated Gaussian process experts (SkyGP).
result SkyGP maintains performance guarantees while improving scalability.

Sparse pseudo-point approximations for Gaussian process (GP) models provide a suite of methods that support deployment of GPs in the large data regime and enable analytic intractabilities to be sidestepped. However, the field lacks a principled method to handle streaming data in which both the posterior distribution ov…

2017-05-19abs ↗pdf ↗

The paper learns compact implicit surface maps from streaming data using an ensemble of sparse Gaussian processes.

problem Creating compact and accurate implicit surface maps from streaming range data.
method An ensemble of sparse Gaussian process experts, incrementally adjusted, trades-off between model complexity and prediction error.
result The approach learns compact and accurate implicit surface models comparable to or better than exact GP regression with subsampled data.

New online GP algorithm offers performance guarantees for streaming data.

problem Training and inference of GPs require all historic data, limiting online decision-making.
method Developed a new theoretical framework based on PAC-Bayes theory, optimizing empirical risk and parameter divergence.
result Offers both a guarantee of generalized performance and good accuracy.

EGFC learns from streaming data to classify power quality disturbances.

problem Real-time detection and classification of power quality disturbances.
method Evolving Gaussian Fuzzy Classification (EGFC) framework with semi-supervised learning.
result Encouraging classification results from online data streams.

Proposes a model for predicting events from event streams.

problem Predicting events like part replacement and failure in manufacturing and teleservice systems.
method Non-parametric prognostic framework using MGCP modulated Poisson processes.
result MGCP prior facilitates sharing of information and analysis of flexible event patterns.

This work compares data reduction criteria for online Gaussian Processes.

problem The computational complexity of Gaussian Processes limits their applicability to small datasets and streaming scenarios.
method Unified comparison of several data reduction criteria, analyzing computational complexity and reduction behavior.
result Practical guidelines for choosing a suitable data reduction criterion for online Gaussian Processes.

Paper proposes a new MIMO detection algorithm using Gaussian Mixture Expectation Propagation.

problem Challenges in MIMO detection due to interference and noise in high-order high-dimensional systems.
method The approach uses a Gaussian Mixture Model (GMM) approximation for Belief Propagation (BP) and Expectation Propagation (EP) messages to improve detection accuracy.
result The proposed algorithm outperforms state-of-the-art detection algorithms while maintaining low computational complexity.

LINTEL improves INTEL's time series prediction by optimizing computation and accuracy.

problem Online prediction of time series with regime switching and outliers.
method Gaussian process-based approach with exact filtering distribution and constant-time updates.
result LINTEL is over five times faster with better quality predictions.

Streaming adaptations of manifold learning based dimensionality reduction methods, such as Isomap, are based on the assumption that a small initial batch of observations is enough for exact learning of the manifold, while remaining streaming data instances can be cheaply mapped to this manifold. However, there are no t…

2018-04-24abs ↗pdf ↗

Adaptive Bayesian learning aggregates experts to improve performance.

problem Bayesian online learning's performance depends on inferential choices.
method Treat Bayesian update rules as experts and aggregate them based on sequential predictive losses.
result The aggregate competes with the best expert in hindsight at a low aggregation cost.

Unified analysis simplifies Johnson-Lindenstrauss lemma for data reduction.

problem Efficiently reducing high-dimensional data while preserving geometry.
method Unified analysis of various JL constructions using probabilistic tools.
result First rigorous proof and extension of spherical construction's effectiveness.

Bayesian nonparametric CMS improves frequency estimation for power-law data.

problem Estimating frequencies of low-frequency tokens in power-law data streams.
method Developed a learning-augmented count-min sketch using a normalized inverse Gaussian process prior.
result The approach achieves remarkable performance in estimating low-frequency tokens.

MaxSketch improves distinct counting in high-dimensional, noisy data streams.

problem Estimating distinct elements in high-dimensional, noisy data streams.
method MaxSketch uses random Gaussian projections to estimate distinct counts.
result MaxSketch achieves (1+ε)(1+\varepsilon) factor estimation with m=O~(logn/ε2)m = \widetilde{O} (\log n/\varepsilon^2) random projections.

LOBDIF predicts limit order book events using a diffusion model.

problem Predicting the timing and type of events in a dynamic market system.
method LOBDIF uses a diffusion model to learn the complex time-event distribution in limit order book streams.
result LOBDIF significantly outperforms existing methods in real-world data experiments.

Develops an online Gaussian process method that maintains convergence guarantees without sample complexity issues.

problem The computational intractability of Gaussian processes with streaming data.
method Parsimonious Online Gaussian Processes (POG) that maintains asymptotic consistency with bounded memory.
result POG preserves convergence guarantees to the population posterior with finite memory, even for constant error radius.

In a typical online learning scenario, a learner is required to process a large data stream using a small memory buffer. Such a requirement is usually in conflict with a learner's primary pursuit of prediction accuracy. To address this dilemma, we introduce a novel Bayesian online classi cation algorithm, called the Vi…

2012-05-09abs ↗pdf ↗

In this manuscript we introduce numerical Gaussian process Kalman filtering (GPKF). Numerical Gaussian processes have recently been developed to simulate spatiotemporal models. The contribution of this paper is to embed numerical Gaussian processes into the recursive Kalman filter equations. This embedding enables us t…

2019-12-03abs ↗pdf ↗

This paper defines the notion of class discrepancy for families of functions. It shows that low discrepancy classes admit small offline and streaming coresets. We provide general techniques for bounding the class discrepancy of machine learning problems. As corollaries of the general technique we bound the discrepancy …

2019-06-11abs ↗pdf ↗

GMMSEQ clusters AE data streams, identifying cluster onsets and growth.

problem Clustering unlabeled AE data with onsets and growth information.
method Modified Gaussian Mixture Models (GMM) with an objective function for AE timestamps.
result GMMSEQ provides better cluster characterization than standard methods.

Improved Clipped-SGD achieves near-optimal heavy-tailed statistical estimation in streaming settings.

problem High-dimensional heavy-tailed statistical estimation in streaming with memory constraints.
method Stochastic convex optimization with Clipped-SGD, proving near-optimal sub-Gaussian statistical rates.
result Clipped-SGD achieves an error of Tr(Σ)+Tr(Σ)Σ2log(log(T)δ)T\sqrt{\frac{\mathsf{Tr}(Σ)+\sqrt{\mathsf{Tr}(Σ)\|Σ\|_2}\log(\frac{\log(T)}δ)}{T}} with probability 1δ1-δ.

Nonlinear state-space models are powerful tools to describe dynamical structures in complex time series. In a streaming setting where data are processed one sample at a time, simultaneous inference of the state and its nonlinear dynamics has posed significant challenges in practice. We develop a novel online learning f…

2019-06-04abs ↗pdf ↗

Data stream classification methods demonstrate promising performance on a single data stream by exploring the cohesion in the data stream. However, multiple data streams that involve several correlated data streams are common in many practical scenarios, which can be viewed as multi-task data streams. Instead of handli…

2019-08-15abs ↗pdf ↗

In an era of ubiquitous large-scale streaming data, the availability of data far exceeds the capacity of expert human analysts. In many settings, such data is either discarded or stored unprocessed in datacenters. This paper proposes a method of online data thinning, in which large-scale streaming datasets are winnowed…

2016-09-12abs ↗pdf ↗

We address two shortcomings in online travel time estimation methods for congested urban traffic. The first shortcoming is related to the determination of the number of mixture modes, which can change dynamically, within day and from day to day. The second shortcoming is the wide-spread use of Gaussian probability dens…

2018-04-22abs ↗pdf ↗

We present a one-pass sparsified Gaussian mixture model (SGMM). Given NN data points in PP dimensions, XX, the model fits KK Gaussian distributions to XX and (softly) classifies each point to these clusters. After paying an up-front cost of O(NPlogP)\mathcal{O}(NP\log P) to precondition the data, we subsample QQ entries…

2019-03-10abs ↗pdf ↗