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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.

169,051 papers · 148 categories

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2795588361,115 · Jun 202019922001200920182026
48 results for nonparallel data

Totally nonparallel immersions require at least 4n-1 dimensions for n-manifolds.

problem Finding the minimum dimension for totally nonparallel immersions of manifolds.
method Analogous to vector field problems and symmetric bilinear maps, studying the space of nonsingular symmetric bilinear maps and applying the removal-of-singularities h-principle.
result Every n-manifold admits a totally nonparallel immersion into R^(4n-1), one dimension less than previously known.

New NHCAs improve multi-category classification efficiency.

problem Efficient multi-category classification for real-world problems.
method Twin SVM (TWSVM), Generalized eigenvalue proximal SVM (GEPSVM), Regularized GEPSVM (RegGEPSVM), and Improved GEPSVM (IGEPSVM) with OAA, BT, and TDS approaches.
result TDS-TWSVM outperforms other methods in classification accuracy.

Develops NPSVC++ to improve NPSVC performance through representation learning.

problem Feature suboptimality and class dependency in NPSVC training.
method Multi-objective optimization and end-to-end learning of NPSVC and its features.
result NPSVC++ ensures feature optimality across classes, overcoming training issues.

In this paper, we analyze the geometric structure of an Euclidean submanifold whose osculating spaces form a nonconstant family of proper subspaces of the same dimension. We prove that if the rate of change of the osculating spaces is small, then the submanifold must be a (submanifold of a) ruled submanifold of a very …

2011-05-04abs ↗pdf ↗

In this paper we describe the notion of an annular end of a Riemann surface being of finite type with respect to some harmonic function and prove some theoretical results relating the conformal structure of such an annular end to the level sets of the harmonic function. We then apply these results to understand and cha…

2009-09-10abs ↗pdf ↗

We develop a parallel variational inference (VI) procedure for use in data-distributed settings, where each machine only has access to a subset of data and runs VI independently, without communicating with other machines. This type of "embarrassingly parallel" procedure has recently been developed for MCMC inference al…

2015-10-14abs ↗pdf ↗

In this paper we examine different aspects of the geometry of closed conformal vector fields on Riemannian manifolds. We begin by getting obstructions to the existence of closed conformal and nonparallel vector fields on complete manifolds with nonpositive Ricci curvature, thus generalizing a theorem of T. K. Pan. Then…

2009-08-11abs ↗pdf ↗

The study finds counterexamples to a conjecture about incompressible planar surfaces in hyperbolic link exteriors.

problem Finding counterexamples to a conjecture about incompressible planar surfaces in hyperbolic link exteriors.
method Constructing examples of hyperbolic links and analyzing their exteriors to find incompressible spanning planar surfaces.
result Examples of 3-component hyperbolic links with exterior containing incompressible spanning planar surfaces with nonmeridional and nonintegral boundary slopes.

Big data sets must be carefully partitioned into statistically similar data subsets that can be used as representative samples for big data analysis tasks. In this paper, we propose the random sample partition (RSP) data model to represent a big data set as a set of non-overlapping data subsets, called RSP data blocks,…

2017-12-12abs ↗pdf ↗

Prevents sensitive data generation in diffusion models using labeled and unlabeled data.

problem Generating sensitive data in diffusion models using unlabeled data.
method Positive-Unlabeled Diffusion Models, approximating ELBO with labeled and unlabeled data.
result Prevents the generation of sensitive data without compromising image quality.

Study reveals Data Shapley's inconsistent performance in data selection tasks.

problem Inconsistency of Data Shapley's performance in data selection across different settings.
method Hypothesis testing framework and identification of utility functions.
result Data Shapley's performance is no better than random selection without specific constraints.

PRRO generates synthetic tabular data that improves SL performance and class distribution.

problem Low SL utility of synthetic data due to class imbalance and overlooked data relationships.
method Data pruning and column reordering to optimize SL utility.
result Synthetic data generated with PRRO enhances predictive performance and class distribution.

Defines data science as a natural ecosystem with challenges and missions.

problem Challenges and missions in data science due to 5D complexities and data life cycle phases.
method Systemic and data-centric view of data science as a fusion of data universe and its challenges, formalizing a general-purpose architecture.
result Essential data science as a natural ecosystem integrating specific disciplines and high-impact applications.

This paper introduces C-DSL to improve data mining outcomes by considering context.

problem Data collection ambiguities, data imbalance, hidden biases, lack of domain info, and data incompleteness.
method Developed Context-Driven Data Science Lifecycle (C-DSL) to address data quality issues.
result Tangible improvements to data mining outcomes were achieved through C-DSL.

Proposes using probabilistic models for privacy-preserving synthetic data.

problem Designing high-quality synthetic data for privacy preservation.
method Formulate the problem through probabilistic modelling, choosing a model for the data.
result Statistical discoveries can be reliably reproduced from synthetic data.

Paper creates fair synthetic data ensuring equal predictions across sensitive attributes.

problem Ensuring fair predictions across sensitive attributes in synthetic data.
method Equalizing target probability distributions across sensitive attributes in synthetic data generation.
result Synthetic data provides strong fair predictions, equal across all thresholds.

A new method classifies multiple correlated data streams simultaneously.

problem Classifying multiple correlated data streams in practical scenarios.
method Double-Coupling Support Vector Machines (DC-SVM) considers both internal and external correlations.
result The proposed method outperforms traditional methods on artificial and real-world data streams.

Efficient synthetic data generation improves model performance on tabular data.

problem Improving model robustness and performance with scarce or low-quality data.
method Hardness characterization to identify high-value training points, generating synthetic data only from these points.
result Synthetic data generated from hardest points outperforms non-targeted methods on tabular datasets.

For most problems in science and engineering we can obtain data sets that describe the observed system from various perspectives and record the behavior of its individual components. Heterogeneous data sets can be collectively mined by data fusion. Fusion can focus on a specific target relation and exploit directly ass…

2013-07-02abs ↗pdf ↗

DAERNN models censored data using neural networks with data augmentation.

problem Handling censored data in expectile regression.
method Data augmentation based Expectile Regression Neural Networks (ERNNs).
result DAERNN outperforms existing censored ERNNs methods and achieves comparable predictive performance to fully observed data.

This paper quantifies uncertainty in Data Shapley using statistical inference.

problem Uncertainty in data valuation due to dynamic data distribution.
method Established relationship with U-statistics and quantified uncertainty using statistical inference.
result Confidence intervals for Data Shapley estimations are provided.

DCoM uses deep neural networks to detect semantic data types from raw column values.

problem Detecting semantic data types from dirty and unseen data.
method DCoM employs multi-input NLP-based deep neural networks trained on 686,765 data columns.
result DCoM outperforms existing methods significantly on 78 different semantic data types.

New algorithms for clustering and synthetic data generation of heterogeneous tabular datasets.

problem Clustering and generating synthetic data from heterogeneous tabular datasets with hidden cluster structure.
method Developed MMM and MMMsynth algorithms for clustering and synthetic data generation.
result MMMsynth algorithm outperforms other literature tabular-data generators and approaches real data performance.