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Financial time series volatility analysis using Gaussian process state-space models

2015· article· en· W2290039094 on OpenAlex

Why this work is in the frame

A frame that forgets how it found something cannot be audited. These are the routes that admitted this work.

affAt least one author lists a Canadian institution in the pinned OpenAlex snapshot.

Bibliographic record

Venuenot available
Typearticle
Languageen
FieldComputer Science
TopicGaussian Processes and Bayesian Inference
Canadian institutionsToronto Metropolitan University
Fundersnot available
KeywordsStochastic volatilityGaussian processState-space representationState spaceComputer scienceLikelihood functionBayesian inferenceVolatility (finance)InferenceParametric statisticsNonparametric statisticsEconometricsFinanceGaussianBayesian probabilityAlgorithmMathematicsEstimation theoryArtificial intelligenceStatistics

Abstract

fetched live from OpenAlex

In this paper, we propose a novel nonparametric modeling framework for financial time series data analysis, and apply it to the problem of time varying volatility modeling. Existing parametric models have a rigid-form transition function and they often have over-fitting problems when model parameters are estimated using maximum likelihood methods. These drawbacks effect the models' prediction performance. To solve this problem, we take Bayesian nonparametric modeling approach. By adding Gaussian process prior to the hidden state transition process, we extend the standard state-space model to a Gaussian process state-space model. We introduce the Gaussian process regression stochastic volatility (GPRSV) model and instead of using maximum likelihood methods, we use Monte Carlo inference algorithms. We demonstrate performance of our model and inference methods with both simulated and empirical financial data.

Fetched live from OpenAlex and de-inverted. Abstracts are not stored in this database: the inverted indexes are 8.6 GB of the frame’s 9.3 GB of text, and the host has 13 GB free.

Full frame distilled prediction

Teacher imitation

Not calibrated prevalence, not ground truth. Human validation pending. Learned from the 10,348 direct Codex labels and 10,348 direct Gemma labels. Candidate is the union of thresholded teacher heads; consensus is their intersection. These outputs are machine_predicted_unvalidated and are not human labels or direct frontier model labels.

metaresearch head score (Codex)0.000
metaresearch head score (Gemma)0.000
Version: codex-gemma-dda1882f352aValidation status: machine_predicted_unvalidated
Candidate categoriesnone
Consensus categoriesnone
DomainCandidate signal: none · Consensus signal: none
Study designCandidate signal: Simulation or modeling · Consensus signal: none
GenreCandidate signal: Methods · Consensus signal: none
Teacher disagreement score0.817
Threshold uncertainty score0.751

Codex and Gemma teacher scores by category

CategoryCodexGemma
Metaresearch0.0000.000
Meta-epidemiology (narrow)0.0000.000
Meta-epidemiology (broad)0.0000.000
Bibliometrics0.0000.002
Science and technology studies0.0000.000
Scholarly communication0.0000.003
Open science0.0010.000
Research integrity0.0000.000
Insufficient payload (model declined to judge)0.0000.000

Machine scores (provisional)

The two teacher heads of the student model, read on this work. A score orders the frame for review; it never asserts a category, and the validation status ships verbatim with every row.

Baseline scores from an immature model (maturity gate not passed, 7 training rounds). Scores rank; they never assert a category.

Opus teacher head0.029
GPT teacher head0.264
Teacher spread0.235 · how far apart the two teachers sit on this one work
Validation statusscore_only:v0-immature-baseline · verbatim from the scoring run: score_only means the number may rank works, and no category label ships from it

Quick stats

Citations50
Published2015
Admission routes1
Has abstractyes

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