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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.

168,694 papers · 148 categories

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1122 · Apr 201819922001200920172026
19 results for nonparallel

We propose a nonparallel data-driven emotional speech conversion method. It enables the transfer of emotion-related characteristics of a speech signal while preserving the speaker's identity and linguistic content. Most existing approaches require parallel data and time alignment, which is not available in most real ap…

2018-11-03abs ↗pdf ↗

An immersion of a smooth nn-dimensional manifold MRqM \to \mathbb{R}^q is called totally nonparallel if, for every distinct x,yMx, y \in M, the tangent spaces at f(x)f(x) and f(y)f(y) contain no parallel lines. Given a manifold MM, we seek the minimum dimension TN(M)TN(M) such that there exists a totally nonparallel immersion …

2019-07-25abs ↗pdf ↗

Considering the classification problem, we summarize the nonparallel support vector machines with the nonparallel hyperplanes to two types of frameworks. The first type constructs the hyperplanes separately. It solves a series of small optimization problems to obtain a series of hyperplanes, but is hard to measure the …

2019-10-22abs ↗pdf ↗

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 ↗

Ordinal regression (OR) is a special multiclass classification problem where an order relation exists among the labels. Recent years, people share their opinions and sentimental judgments conveniently with social networks and E-Commerce so that plentiful large-scale OR problems arise. However, few studies have focused …

2018-12-19abs ↗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.