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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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3016039041,205 · Jun 202019922001200920172026
48 results for Small Data

Large corporate credit models may be adapted for small business risk assessment.

problem Limited data and lack of credit analysts for small businesses.
method Adapting large corporate credit risk models for small businesses.
result Adapted models can predict small business credit risk effectively.

Unified Bayesian model for multi-modal, small sample size biomedical data classification.

problem Classifying high-dimensional, multi-modal biomedical data with small sample sizes.
method Combines multi-modal data views into a latent space, prunes irrelevant features, and uses dual kernels for small sample size scenarios.
result Outperforms state-of-the-art models and identifies features aligned with existing markers.

A new method detects small holes in noisy data.

problem Detecting small holes in high-density regions from noise.
method Robust Density-Aware Distance (RDAD) filtration, incorporating distance-to-measure concept.
result The RDAD filtration prolongs the persistences of small holes, making them distinguishable from noise.

Study evaluates synthetic data augmentation for small datasets, highlighting inconsistencies in traditional metrics.

problem Inconsistent validation of synthetic data generated for small sample sizes.
method Proposes a normalized Bottleneck distance metric to evaluate synthetic tabular data.
result Common metrics like propensity scoring and MMD fail for small datasets, showing instability and high variability.

Transfer learning improves chaotic dynamics predictions with less data.

problem Efficiently predicting chaotic dynamics with limited data.
method Transfer learning for nonlinear dynamics, optimizing transfer rate and leveraging small-scale turbulence universality.
result Significantly more accurate inference of chaotic dynamics achieved.

Framework for few-shot relation classification with minimal training data.

problem Few-shot relation classification with limited training data.
method Meta-learning framework that combines instance and support knowledge.
result Framework outperforms state-of-the-art results and achieves competitive performance with large training data.

In modern supervised learning, there are a large number of tasks, but many of them are associated with only a small amount of labeled data. These include data from medical image processing and robotic interaction. Even though each individual task cannot be meaningfully trained in isolation, one seeks to meta-learn acro…

2020-02-20abs ↗pdf ↗

We study the topology of small covers from their fundamental groups. We find a way to obtain explicit presentations of the fundamental group of a small cover. Then we use these presentations to study the relations between the fundamental groups of a small cover and its facial submanifolds. In particular, we can determi…

2017-12-03abs ↗pdf ↗

Analyzes Willmore flow for graphs with boundary data, proving existence and convergence.

problem Willmore flow of graphs with boundary conditions over bounded domains.
method Developed low-regularity theory, reformulated graphical equation, used time-weighted parabolic Hölder spaces.
result Proved short-time and global existence for initial data in C1+α(Ω)C^{1+α}(\overlineΩ) and Lipschitz, with exponential convergence.

SmallML predicts customer churn for SMEs with small data, improving accuracy by 24.2 points.

problem AI exclusion of SMEs due to data scale mismatch.
method Bayesian transfer learning with hierarchical pooling and conformal prediction.
result 96.7% AUC on 100 obs SMEs, 24.2 point improvement over logistic regression.

Differential privacy for simple linear regression protects small datasets from individual data leaks.

problem Protecting sensitive personal information in small datasets from individual data leaks.
method Differential privacy algorithms for simple linear regression tailored for small datasets (tens to hundreds of datapoints).
result Robust estimators like Theil-Sen perform well on small datasets, but standard algorithms improve as dataset size increases.

Generative Latent Implicit Conditional Optimization (GLICO) learns from small samples.

problem Learning from small labeled datasets.
method Generative Latent Implicit Conditional Optimization (GLICO) learns a latent space and generator from small labeled data.
result GLICO synthesizes new samples for every class using as few as 10 examples per class.

Learning with noisy labels is one of the hottest problems in weakly-supervised learning. Based on memorization effects of deep neural networks, training on small-loss instances becomes very promising for handling noisy labels. This fosters the state-of-the-art approach "Co-teaching" that cross-trains two deep neural ne…

2019-01-14abs ↗pdf ↗

We propose a penalized orthogonal-components regression (POCRE) for large p small n data. Orthogonal components are sequentially constructed to maximize, upon standardization, their correlation to the response residuals. A new penalization framework, implemented via empirical Bayes thresholding, is presented to effecti…

2008-11-25abs ↗pdf ↗

A method for clustering small datasets in high dimensions using random projections.

problem Challenges in clustering small datasets in high-dimensional spaces.
method Random projection followed by binary clustering in one-dimensional space.
result Statistically significant clustering structures can be found with as few as 100-200 points.

Gaussian Processes (GPs) are known to provide accurate predictions and uncertainty estimates even with small amounts of labeled data by capturing similarity between data points through their kernel function. However traditional GP kernels are not very effective at capturing similarity between high dimensional data poin…

2019-10-13abs ↗pdf ↗

Bayesian methods reduce variance in subspace identification for small data sets.

problem High variance in traditional subspace identification methods for large models or small sample sizes.
method Investigation of Bayesian estimation solutions (regularized and shrinkage estimators) for subspace identification.
result Bayesian estimators reduce estimation risk by up to 40% compared to traditional methods.

Many classification applications require accurate probability estimates in addition to good class separation but often classifiers are designed focusing only on the latter. Calibration is the process of improving probability estimates by post-processing but commonly used calibration algorithms work poorly on small data…

2020-01-30abs ↗pdf ↗

FedFaiREE addresses fairness in decentralized learning with small samples.

problem Ensuring fairness in decentralized federated learning with limited data.
method FedFaiREE is a post-processing algorithm for distribution-free fair learning in decentralized settings with small samples.
result FedFaiREE provides theoretical guarantees for both fairness and accuracy in decentralized environments.

Paper proposes a method to evaluate SME credit risk using meta paths.

problem Evaluate credit risk of small and medium-sized enterprises with limited data.
method Exploits the representative power of information networks and meta paths to infer SME financial status.
result Meta path feature effectively identifies SMEs with credit risks.

The study tackles forgery in machine unlearning, showing that forging is limited and can be detected.

problem Adversarial crafting of data to mimic model behavior without removing information.
method Developed a framework to analyze εε-forging sets and proved their measure decay.
result The forging set measure decays as ε(dr)/2ε^{(d-r)/2}, providing evidence against false unlearning claims.

GOAL algorithm reduces and rotates feature space for small data classification.

problem Challenges in identifying important features for classification in small data settings.
method GOAL algorithm reduces and rotates feature space in a lower-dimensional gauge, providing an analytically tractable solution.
result GOAL algorithm outperforms state-of-the-art ML tools in synthetic and real-world applications.

Novel approach for SEM in small samples with p>np>n.

problem Small sample size and p>np>n issues in factor-based SEM.
method Reformulates covariance structure into self-covariance and cross-covariance, defines a feasible set with relative error constraint.
result Improved stability and directional information in small-sample settings.

Dirichlet process mixture (DPM) models tend to produce many small clusters regardless of whether they are needed to accurately characterize the data - this is particularly true for large data sets. However, interpretability, parsimony, data storage and communication costs all are hampered by having overly many clusters…

2018-02-15abs ↗pdf ↗

Geometric Brownian motion simulates stock prices for Brazilian small caps index.

problem Simulating stock prices for the Brazilian small caps index.
method Used geometric Brownian motion to simulate stock prices of Brazilian small caps index using historical data.
result Simulated prices better for portfolios with higher returns, lower risks, and higher Sharpe Indexes.

Data augmentation improves financial prediction models, especially for small datasets.

problem Improving financial prediction models on small, noisy, non-stationary datasets.
method Evaluation of data augmentation methods combined with deep learning models on financial datasets.
result Data augmentation significantly improves financial performance, up to 400% improvement in risk-adjusted return.

One significant challenge to scaling entity resolution algorithms to massive datasets is understanding how performance changes after moving beyond the realm of small, manually labeled reference datasets. Unlike traditional machine learning tasks, when an entity resolution algorithm performs well on small hold-out datas…

2015-09-10abs ↗pdf ↗