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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.

168,695 papers · 148 categories

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66132197263 · Jun 202019922001200920172026
48 results for non-parametric inference

The paper provides theoretical guarantees for transformation-based models in variational inference.

problem Theoretical justification for transformation-based models in variational inference.
method Theoretical analysis of non-linear latent variable models and Gaussian process priors.
result Theoretical guarantees for implicit variational inference, achieving optimal risk bounds and approximating the true posterior.

Modeling structure in complex networks using Bayesian non-parametrics makes it possible to specify flexible model structures and infer the adequate model complexity from the observed data. This paper provides a gentle introduction to non-parametric Bayesian modeling of complex networks: Using an infinite mixture model …

2013-12-20abs ↗pdf ↗

This paper finds a unique partition of a sample space for estimating continuous distributions.

problem Estimating continuous probability distributions from finite samples.
method Equal-probability partition of the sample space using order statistics.
result The partition yields an entropy of log2(N+1) bits, providing a discrete entropy estimate.

Estimates neural drift for stochastic equations, improving inference on noisy data.

problem Estimating drift in stochastic differential equations with neural networks.
method Non-parametric estimation using ReLU neural networks, enforcing theoretical bounds.
result Practical method for inference on noisy and rough functional data.

Bayesian non-parametric model adapts to concept drifts in streaming data.

problem Inference under concept drift phenomenon for non-stationary data streams.
method Variational inference algorithm for Dirichlet process mixture models with exponential forgetting.
result The proposed model outperforms state-of-the-art algorithms in clustering problems.

DiD-BCF model improves causal inference in panel data with robust non-parametric methods.

problem Challenges in Difference-in-Differences (DiD) estimation, especially heterogeneous treatment effects and non-linearities.
method Difference-in-Differences Bayesian Causal Forest (DiD-BCF) with PTA-based reparameterization.
result DiD-BCF provides superior performance and uncovers significant heterogeneity in treatment effects.

The paper reviews methods for estimating individual treatment effects using non-parametric regression models.

problem Estimating heterogeneous treatment effects in observational data.
method Non-parametric regression models to estimate individual treatment effects.
result A review and development of existing state-of-the-art frameworks for individual treatment effects estimation.

We present a class of models that, via a simple construction, enables exact, incremental, non-parametric, polynomial-time, Bayesian inference of conditional measures. The approach relies upon creating a sequence of covers on the conditioning variable and maintaining a different model for each set within a cover. Infere…

2010-05-13abs ↗pdf ↗

This work develops a non-parametric test for relational independence in non-i.i.d. data.

problem Testing independence in relational systems where data samples are not i.i.d.
method Kernel mean embedding for relational variables, consistent non-parametric scalable kernel test.
result Empirically validated effectiveness compared to state-of-the-art tests.

This paper solves the normalizability crisis in sequential inference by introducing bounded information geometry.

problem Structural failure in standard sequential inference architectures when dealing with extreme outliers.
method Non-parametric field actions and bounded information geometry to truncate infinite tails of spatial distributions.
result Empirical benchmarks across three domains show robust estimation without infinite-tailed distributional assumptions.

Bayesian econometrics improves nowcasting during pandemics.

problem Improving nowcasting during extreme economic events like pandemics.
method Bayesian econometric methods using non-parametric mixed frequency VARs with additive regression trees.
result Significant improvements in nowcasting performance compared to linear models.

Estimates conditional Brenier maps using entropic optimal transport.

problem Non-parametric estimation of conditional Brenier maps.
method Entropic optimal transport for scalable non-parametric estimation.
result Entropic optimal transport maps asymptotically converge to conditional Brenier maps.

We present a non-parametric Bayesian approach to structure learning with hidden causes. Previous Bayesian treatments of this problem define a prior over the number of hidden causes and use algorithms such as reversible jump Markov chain Monte Carlo to move between solutions. In contrast, we assume that the number of hi…

2012-06-27abs ↗pdf ↗

New method for estimating counterfactual means in adaptive experiments.

problem Inference for counterfactual means in sequentially designed experiments with adaptive treatment policies.
method Latent factor model and nearest neighbors method for estimation.
result Asymptotically valid confidence intervals for counterfactual means established.

Near-optimal tests and confidence sequences for non-parametric data.

problem Flexible statistical inference and decision-making with non-parametric data.
method Classic delayed-start normal-mixture sequential probability ratio tests with asymptotic guarantees.
result Asymptotically optimal type-I error and expected rejection time guarantees.

Study evaluates policies in partially observable environments without full model specification.

problem Evaluating policies in partially observable environments without full model specification.
method Developed non-parametric identification and recursive fitted-Q-evaluation algorithm.
result Established finite-sample error bounds for policy value estimation.

PClean automates Bayesian data cleaning for specific datasets.

problem Bayesian inference for diverse and complex data cleaning.
method Domain-specific probabilistic programming language with custom models and inference.
result PClean programs outperform general-purpose PPLs in accuracy and runtime.

Estimates classifier errors without ground truth using algebraic geometry.

problem Lack of ground truth in real-world production systems.
method Non-parametric estimation using algebraic geometry to solve the self-assessment problem.
result Accuracy estimators are better than one part in a hundred.

The paper proposes a new evaluation framework for causal inference models.

problem Challenges in estimating causal effects from observational data.
method Complements evaluation of causal inference models with statistical evidence and non-parametric tests.
result Eliminates the influence of a few instances or simulations on benchmarking results.

We consider non-parametric estimation and inference of conditional moment models in high dimensions. We show that even when the dimension DD of the conditioning variable is larger than the sample size nn, estimation and inference is feasible as long as the distribution of the conditioning variable has small intrinsic…

2019-01-11abs ↗pdf ↗

Bayesian graph learning improves graph representation accuracy.

problem Inaccurate graph construction from noisy data.
method Non-parametric Bayesian graph model for posterior inference of graph adjacency matrices.
result Model scales well to large graphs and improves node classification, link prediction, and recommendation tasks.

We address challenges in estimating parameters from adaptively collected data.

problem Estimating parameters from data collected adaptively leads to non-normal asymptotic distributions.
method We develop semi-parametric estimators that account for adaptivity in data collection.
result Our estimators are asymptotically normal under certain conditions.

Neural Networks trained with gradient descent are known to be susceptible to catastrophic forgetting caused by parameter shift during the training process. In the context of Neural Machine Translation (NMT) this results in poor performance on heterogeneous datasets and on sub-tasks like rare phrase translation. On the …

2019-02-28abs ↗pdf ↗

Method recovers causal diffusion mechanisms from steady-state data without parametric assumptions.

problem Recovering causal diffusion mechanisms from steady-state gene expression data.
method Non-parametric kernel estimator for drift function, cross-validation for hyperparameter tuning.
result Full causal mechanism can be non-parametrically identified under weak non-explosion criterion.

A single, stationary topic model such as latent Dirichlet allocation is inappropriate for modeling corpora that span long time periods, as the popularity of topics is likely to change over time. A number of models that incorporate time have been proposed, but in general they either exhibit limited forms of temporal var…

2012-08-22abs ↗pdf ↗

Bayesian inference using stochastic neural networks ensembles.

problem Approximating Bayesian posterior distributions.
method Formulate stochastic ensembles of neural networks, train with variational inference, and evaluate using Monte Carlo dropout.
result Stochastic ensembles provide more accurate posterior estimates than other methods.

The computational costs of inference and planning have confined Bayesian model-based reinforcement learning to one of two dismal fates: powerful Bayes-adaptive planning but only for simplistic models, or powerful, Bayesian non-parametric models but using simple, myopic planning strategies such as Thompson sampling. We …

2014-02-09abs ↗pdf ↗

Paper proposes a machine learning-based method for estimating mediation effects.

problem Challenges in estimating mediation effects with multiple, continuous mediators.
method Developed a one-step estimation algorithm using machine learning and Riesz learning.
result Proposed method can estimate mediation effects from just two statistical estimands.

Dirichlet process mixture models (DPMM) are a cornerstone of Bayesian non-parametrics. While these models free from choosing the number of components a-priori, computationally attractive variational inference often reintroduces the need to do so, via a truncation on the variational distribution. In this paper we presen…

2017-01-13abs ↗pdf ↗

Data collection at a massive scale is becoming ubiquitous in a wide variety of settings, from vast offline databases to streaming real-time information. Learning algorithms deployed in such contexts must rely on single-pass inference, where the data history is never revisited. In streaming contexts, learning must also …

2012-01-26abs ↗pdf ↗

Neural networks estimate SDEs with jump noise using a Tamed-Milstein scheme.

problem Estimating drift and diffusion functions in SDEs with jump noise.
method Tamed-Milstein scheme with neural networks as non-parametric approximators.
result Flexible estimation of complex nonlinear dynamics in systems with state-dependent noise.

Efficiently models event-based data with general parametric kernels.

problem Inference for Hawkes processes with general parametric kernels requires large datasets.
method Developed a fast 2\ell_2 gradient-based solver using a discretized version of events.
result Improved estimation of pattern latency in brain signals.