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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.

168,878 papers · 148 categories

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48 results for Likelihood contribution

Proposes a new multi-scale architecture for generative flows to improve log-likelihood and sampling quality.

problem Challenges of high-dimensional latent space in flow models.
method Data-dependent dimension factorization based on likelihood contribution heuristic.
result Improvements in log-likelihood score and sampling quality on image benchmarks.

We consider two connected aspects of maximum likelihood estimation of the parameter for high-dimensional discrete graphical models: the existence of the maximum likelihood estimate (mle) and its computation. When the data is sparse, there are many zeros in the contingency table and the maximum likelihood estimate of th…

2015-04-21abs ↗pdf ↗

Flowification enriches neural networks with an inverse pass and likelihood monitoring.

problem Neural networks lack an inverse pass and likelihood monitoring, limiting their generative capabilities.
method Introduce flowification, enriching neural networks with a stochastic inverse pass and likelihood monitoring.
result Certain neural network architectures can be enriched to fall under the generalized notion of a normalizing flow.

Paper proposes energy objective for training normalizing flows without determinants.

problem Challenges in training normalizing flows due to Jacobian determinants.
method Introduces energy objective based on proper scoring rules, determinant-free.
result Energy objective supports novel model families and competitive performance.

Paper proposes a neural network for non-parametric Hawkes process kernel estimation.

problem Estimating non-parametric Hawkes process kernels efficiently and interpretably.
method Single hidden layer neural network for unbiased log-likelihood estimation of Hawkes processes.
result Proposed neural network achieves comparable or better performance than existing methods.

We model leverage as stochastic but independent of return shocks and of volatility and perform likelihood-based inference via the recently developed iterated filtering algorithm using S&P500 data, contributing new evidence to the still slim empirical support for random leverage variation.

2013-12-19abs ↗pdf ↗

This paper develops embeddings that preserve likelihood-based statistical inference.

problem Modern machine learning embeddings destroy the geometric structure required for likelihood-based inference.
method Developed a rigorous theory of likelihood-preserving embeddings and introduced the Likelihood-Ratio Distortion metric.
result Controlling the distortion ΔnΔ_n is necessary and sufficient for preserving inference.

Generalising well in supervised learning tasks relies on correctly extrapolating the training data to a large region of the input space. One way to achieve this is to constrain the predictions to be invariant to transformations on the input that are known to be irrelevant (e.g. translation). Commonly, this is done thro…

2018-08-16abs ↗pdf ↗

In this article we use rate-distortion theory, a branch of information theory devoted to the problem of lossy compression, to shed light on an important problem in latent variable modeling of data: is there room to improve the model? One way to address this question is to find an upper bound on the probability (equival…

2019-04-12abs ↗pdf ↗

Nested sampling is a powerful technique for exploring high-likelihood regions, but its theoretical derivation is complex and involves approximations.

problem Sampling from likelihood-constrained priors in nested sampling
method Providing a comprehensive and detailed exposition of nested sampling derivation and practical challenges
result Deepening understanding of nested sampling and fostering future enhancements

The log-likelihood loss in heteroscedastic neural networks can lead to poor parameter estimates.

problem Capturing aleatoric uncertainty in deep learning models.
method Examine the log-likelihood loss in conjunction with gradient-based optimizers and propose an alternative formulation, ββ-NLL.
result Using an appropriate ββ largely mitigates the issue of poor parameter estimates.

New method estimates latent gene expression factors without overlap with known confounders.

problem Estimating latent variance components in gene expression data with known confounders.
method Restricted maximum-likelihood method maximizing likelihood on orthogonal subspace.
result Method reduces runtime and attains greater likelihood values than gradient-based optimizers.

Method recovers complex-valued signals from speckle-noised measurements.

problem Recovering complex-valued signals from speckle-noised measurements.
method Bagged Deep Image Priors integrated with projected gradient descent and Newton-Schulz algorithm.
result Achieves state-of-the-art performance in MSE reduction.

Deep learning estimates time-varying Markov model parameters.

problem Estimating time-dependent parameters in Markov models.
method Reframes parameter estimation as an optimization problem using maximum likelihood.
result Real solution close to SDE with neural network-derived parameters under specific conditions.

Training models to prefer certain responses can unintentionally shift probability to harmful ones.

problem Likelihood displacement in DPO models, leading to unintended unalignment.
method Characterized and mitigated likelihood displacement using CHES score.
result Training models to prefer certain responses can unintentionally shift probability mass to harmful responses.

Recent work used importance sampling ideas for better variational bounds on likelihoods. We clarify the applicability of these ideas to pure probabilistic inference, by showing the resulting Importance Weighted Variational Inference (IWVI) technique is an instance of augmented variational inference, thus identifying th…

2018-08-27abs ↗pdf ↗

Study uses multi-kernel Hawkes models to analyze high-frequency price dynamics.

problem Understanding responsive speeds of market participants in high-frequency trading.
method Multi-kernel Hawkes models with conditional Hessian analysis for optimization.
result Existence of multi-kernels (UHF, VHF, HF) in high-frequency price dynamics.

We present a practical way of introducing convolutional structure into Gaussian processes, making them more suited to high-dimensional inputs like images. The main contribution of our work is the construction of an inter-domain inducing point approximation that is well-tailored to the convolutional kernel. This allows …

2017-09-06abs ↗pdf ↗

Paper introduces an online method for estimating the difference between two probability distributions.

problem Estimating the difference between two probability density functions using available data.
method Non-parametric online likelihood-ratio estimation using Pearson-divergence functional minimization.
result The proposed method provides efficient online updates and theoretical guarantees for performance.

The outlying property detection problem is the problem of discovering the properties distinguishing a given object, known in advance to be an outlier in a database, from the other database objects. In this paper, we analyze the problem within a context where numerical attributes are taken into account, which represents…

2013-06-15abs ↗pdf ↗

Determinantal point processes (DPPs) are point process models that naturally encode diversity between the points of a given realization, through a positive definite kernel KK. DPPs possess desirable properties, such as exact sampling or analyticity of the moments, but learning the parameters of kernel KK through like…

2015-07-04abs ↗pdf ↗

New methods improve anomaly detection in deep networks by leveraging hierarchical likelihoods and multi-scale features.

problem Challenges in detecting anomalies in high-level features due to model bias and domain prior.
method Two methods: 1) Log likelihood ratios between in-distribution and general distribution models, 2) Multi-scale likelihood contribution.
result Strong anomaly detection performance in unsupervised setting, slightly underperforming supervised methods.

The paper addresses speckle noise in coherent imaging systems.

problem Speckle noise degrades image quality in coherent imaging systems.
method Theoretical and algorithmic analysis of likelihood-based approaches for multilook coherent imaging.
result Established the first theoretical upper bound on MSE of the maximum likelihood estimator.

Smooth neural TPPs using B-splines for better efficiency and accuracy.

problem Efficiently modeling sequences of events in continuous time with neural networks.
method Directly parametrize the CIF as a non-negative combination of B-spline basis functions, predicting coefficients with a neural network.
result Improved computational efficiency and predictive accuracy compared to existing methods.

TMLE improves unbiased estimation in public health studies.

problem Improving unbiased estimation in observational studies.
method Targeted Maximum Likelihood Estimation (TMLE) integrates machine learning and statistical theory.
result TMLE has been adopted by researchers worldwide, especially outside the US.

Determinantal point processes (DPPs) offer a powerful approach to modeling diversity in many applications where the goal is to select a diverse subset. We study the problem of learning the parameters (the kernel matrix) of a DPP from labeled training data. We make two contributions. First, we show how to reparameterize…

2014-11-06abs ↗pdf ↗

A benchmark for simulation-based inference methods.

problem Lack of a public benchmark for 'likelihood-free' algorithms.
method Provided a benchmark with tasks and performance metrics, including neural networks and ABC methods.
result State-of-the-art algorithms have room for improvement, and neural network-based approaches generally perform better.

Decoding strategies often exclude human-like tokens, creating a detectable gap in generated text.

problem Decoding strategies exclude contextually appropriate but statistically rare tokens, creating a detectable gap in generated text.
method Analysis of 1.8 million texts across 8 language models, 5 decoding strategies, and 53 hyperparameter configurations.
result 8-18% of human-selected tokens fall outside typical truncation boundaries, indicating a detectable gap.

This paper provides a method for noise-calibrated inference from DP synthetic data.

problem Inference from DP synthetic data is often miscalibrated and lacks principled uncertainty quantification.
method Release DP sufficient statistics, perform noise-calibrated likelihood-based inference, and optional synthetic data generation.
result Asymptotic normality and valid confidence intervals for the plug-in DP MLE.