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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.

168,657 papers · 148 categories

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144288432576 · Jun 202019922001200920172026
48 results for logistic distributions

Study explores geometric structure and prior for beta-logistic distribution.

problem Understanding the geometric structure and prior distributions of the beta-logistic distribution.
method Exploring dual geometric structure and uncovering α\alpha-parallel prior.
result The beta-logistic distribution admits an α\alpha-parallel prior for any real number α\alpha.

Solving logistic regression with L1-regularization in distributed settings is an important problem. This problem arises when training dataset is very large and cannot fit the memory of a single machine. We present d-GLMNET, a new algorithm solving logistic regression with L1-regularization in the distributed settings. …

2014-11-24abs ↗pdf ↗

New research shows logistic regression can achieve optimal error rate for agnostic learning of halfspaces.

problem Agnostic learning of homogeneous halfspaces with logistic loss.
method Constructing a well-behaved distribution and using logistic regression with additional convex optimization steps.
result Logistic regression can achieve Ω(extrmOPT)Ω(\sqrt{ extrm{OPT}}) misclassification risk, matching the upper bound.

Improved confidence bounds for linear logistic model with applications to bandits.

problem Improving confidence bounds for linear logistic model.
method Self-concordant analysis of the logistic loss to avoid dependence on worst-case variance.
result Significant improvement in confidence bounds, avoiding dependence on 1/κ1/κ.

The paper extends logistic regression for unbounded majority classes and derives asymptotic properties.

problem Infinitely imbalanced logistic regression inference.
method Derive a second order expansion for slope parameter under unbounded majority class.
result The second order term converges to a normal distribution with a variance depending only on the minority class's mean.

Report presents analysis of empirical distribution of future returns of bitcoin (BTC) from BTUSD inverse option prices. Logistic pdf is chosen as underlying distribution to fit option prices. The result is satisfactory and suggests that these prices can be described with just three or even one parameter. Fitted Logisti…

2019-01-15abs ↗pdf ↗

This paper proposes a distributionally robust approach to logistic regression. We use the Wasserstein distance to construct a ball in the space of probability distributions centered at the uniform distribution on the training samples. If the radius of this ball is chosen judiciously, we can guarantee that it contains t…

2015-09-30abs ↗pdf ↗

New method estimates density ratio for well-separated distributions using multi-class logistic regression.

problem Challenges in estimating density ratio for well-separated distributions.
method Uses multi-class logistic regression with auxiliary densities to estimate log(p/q).
result Demonstrates superior performance on density ratio estimation, mutual information, and representation learning tasks.

Researchers derived formulas for joint moments of elliptical distributions.

problem Calculating joint moments of elliptical distributions.
method Used Stein's lemma and two different methods to derive expressions.
result New formulae for expectations of product of normally distributed random variables and simplified expressions for other distributions.

Efficiently selects important variables in high-dimensional logistic regression.

problem Variable selection in high-dimensional logistic regression with binary responses.
method Developed a variational empirical Bayes approach for efficient model space marginal distribution.
result The variational approximation inherits strong selection consistency from the posterior distribution.

Revises logistic-softmax likelihood for Bayesian meta-learning in few-shot classification.

problem Inherent uncertainty in logistic-softmax leads to suboptimal performance in meta-learning.
method Redesigns logistic-softmax likelihood with a temperature parameter for better control of prior confidence.
result Achieves well-calibrated uncertainty estimates and comparable/superior performance on benchmark datasets.

Proposes logistic-beta process for modeling dependent probabilities with beta marginals.

problem Limited work on flexible and computationally convenient stochastic process extensions for dependent random probabilities.
method Introduces logistic-beta process with logistic transformation and beta marginals, capable of modeling dependence in discrete and continuous domains.
result Logistic-beta processes enable effective posterior inference and design of computationally tractable dependent Bayesian nonparametric models.

Developed efficient distributed logistic regression for large datasets.

problem Communication inefficiency and sparsity issues in distributed training of large-scale models.
method Iterative local optimization of a surrogate likelihood to improve initial solutions, handling sparsity and diverging updates.
result Learned a communication-efficient distributed logistic regression model for millions of features.

Multilabel classification is an important problem in a wide range of domains such as text categorization and music annotation. In this paper, we present a probabilistic model, Multilabel Logistic Regression with Hidden variables (MLRH), which extends the standard logistic regression by introducing hidden variables. Hid…

2019-12-03abs ↗pdf ↗

The paper calculates moments and conditional risks for skewed elliptical distributions.

problem Estimating moments and tail conditional risks for skewed elliptical distributions.
method Derives explicit expressions for multivariate doubly truncated moments and conditional risks for generalized skew-elliptical distributions.
result Explicit formulas for multivariate doubly truncated moments and conditional risks are derived for various skewed elliptical distributions.

Paper proposes a new method for estimating conditional densities using logistic regressions.

problem Estimating conditional densities for complex distributions.
method Parametric conditional density estimation via weighted logistic regressions.
result Maximum likelihood estimates can be obtained efficiently via a block-wise alternating maximization scheme and local case-control sampling.

Study develops a robust federated logistic regression for financial data analysis.

problem Analyzing financial data in a federated setting while protecting privacy and interpretability.
method Proposes a robust federated logistic regression framework balancing privacy, interpretability, and robustness.
result Demonstrates comparable performance to classical centralized algorithms on both IID and non-IID data, including outliers.

Flexible Bayesian approach for generalized linear models, especially for sparse logistic regression.

problem Sparse logistic regression challenges in machine learning.
method Empirical Bayes approach with mean-field variational inference, tuning-free and scalable.
result Superior predictive performance in sparse logistic regression compared to existing methods.

SLOE speeds up logistic regression in high dimensions with accurate signal strength estimation.

problem Poor performance of logistic regression in high-dimensional settings.
method SLOE reparameterizes the signal strength for faster and more accurate estimation.
result SLOE provides a fast and accurate method for dimensionality correction in logistic regression.

The paper proves asymptotic normality for multinomial logistic regression on null covariates.

problem Classical asymptotic normality results fail in high-dimensional multinomial logistic models.
method Developed asymptotic normality and chi-square results for multinomial logistic MLE on null covariates.
result Validated new methodology to test feature significance in high-dimensional classification problems.

A new method for Bayesian neural networks using probabilistic backpropagation.

problem Approximating posterior distributions in Bayesian neural networks.
method Variational Expectation Propagation (VEP) with probabilistic backpropagation.
result Efficient algorithm for approximate integration over posterior distributions.

HiSS sampling overcomes local mode traps in rugged discrete spaces.

problem Sampling multimodal discrete distributions with gradient-based methods.
method Integrates Metropolis-within-Gibbs framework with logistic convolution.
result HiSS outperforms alternatives on various tasks, including Ising models and binary neural networks.

In this paper, we consider the multivariate Bernoulli distribution as a model to estimate the structure of graphs with binary nodes. This distribution is discussed in the framework of the exponential family, and its statistical properties regarding independence of the nodes are demonstrated. Importantly the model can e…

2012-06-08abs ↗pdf ↗

Large stepsizes can accelerate gradient descent for logistic regression.

problem Optimizing logistic regression with large stepsizes.
method Gradient descent with large stepsize for 2\ell_2-regularized logistic regression.
result Large stepsizes can achieve O~(κ)\widetilde{\mathcal{O}}(\sqrtκ) convergence, improving over O~(κ)\widetilde{\mathcal{O}}(\sqrtκ) from classical theory.

New method distinguishes predictive distribution estimators in high-dimensional inputs.

problem Difficulty in evaluating predictive distributions for high-dimensional inputs.
method Introduces dyadic sampling to focus on predictive distributions associated with pairs of inputs.
result Demonstrates efficient distinction of predictive distribution estimators in high-dimensional examples.

This paper describes how to convert a machine learning problem into a series of map-reduce tasks. We study logistic regression algorithm. In logistic regression algorithm, it is assumed that samples are independent and each sample is assigned a probability. Parameters are obtained by maxmizing the product of all sample…

2015-10-03abs ↗pdf ↗

We address the problem of regret minimization in logistic contextual bandits, where a learner decides among sequential actions or arms given their respective contexts to maximize binary rewards. Using a fast inference procedure with Polya-Gamma distributed augmentation variables, we propose an improved version of Thomp…

2018-05-18abs ↗pdf ↗

The paper analyzes logistic regression for rare events data, deriving new insights on estimator efficiency and sampling strategies.

problem Binary logistic regression for rare events data with significantly fewer events than controls.
method Derives asymptotic distribution of MLE, proves under-sampling advantage, and compares over-sampling efficiency.
result Under-sampling a small proportion of nonevents can improve efficiency in rare events data analysis.

ACOWA improves distributed sparse classification with extra communication round.

problem Efficiently optimizing sparse classification with limited communication.
method Introducing ACOWA, a new technique with an extra communication round.
result ACOWA achieves better approximation quality and higher accuracy.

New mechanism protects neural network weights from privacy attacks during self-supervised learning.

problem Privacy risks during fine-tuning stage of self-supervised learning.
method Proposes a novel differential privacy mechanism using additive logistic noise.
result Reduces membership inference attack accuracy to 50% while maintaining below 5% performance loss.

A method for safe online classification reduces test costs while maintaining low error rates.

problem Sequential testing for binary disease outcomes with unknown logistic model parameters.
method Joint estimation of logistic parameter and feature distribution with a conservative threshold.
result Achieves target error with high probability and requires minimal excess tests.

This manuscript provides optimization guarantees, generalization bounds, and statistical consistency results for AdaBoost variants which replace the exponential loss with the logistic and similar losses (specifically, twice differentiable convex losses which are Lipschitz and tend to zero on one side). The heart of the…

2013-05-13abs ↗pdf ↗

We present the discrete infinite logistic normal distribution (DILN), a Bayesian nonparametric prior for mixed membership models. DILN is a generalization of the hierarchical Dirichlet process (HDP) that models correlation structure between the weights of the atoms at the group level. We derive a representation of DILN…

2011-03-24abs ↗pdf ↗

Bayesian method estimates LTLL distribution parameters for time-to-event data.

problem Parameter estimation for time-to-event data with left truncation.
method Bayesian inference using Metropolis-Hastings algorithm.
result Bayesian estimation provides more stable and reliable parameter estimates.

Paper introduces data-dependent SSP for private linear and logistic regression.

problem Private linear and logistic regression with better performance.
method Data-dependent sufficient statistic perturbation (SSP) for linear and logistic regression.
result Data-dependent SSP outperforms state-of-the-art methods for linear and logistic regression.

Study high-dimensional logistic regression with missing data, providing exact error characterizations.

problem High-dimensional logistic regression with missing or corrupted covariates.
method Exact characterizations of prediction and estimation errors under independence and moment conditions.
result Characterizations are universal and hold for various imputation strategies.