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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.

168,742 papers · 148 categories

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102204306408 · Jun 202019922001200920172026
48 results for classifier construction

We describe how an Ore category with a Garside family can be used to construct a classifying space for its fundamental group(s). The construction simultaneously generalizes Brady's classifying space for braid groups and the Stein--Farley complexes used for various relatives of Thompson's groups. It recovers the fact th…

2017-10-09abs ↗pdf ↗

Regulators require financial institutions to estimate counterparty default risks from liquid CDS quotes for the valuation and risk management of OTC derivatives. However, the vast majority of counterparties do not have liquid CDS quotes and need proxy CDS rates. Existing methods cannot account for counterparty-specific…

2017-05-19abs ↗pdf ↗

We employ random geometric digraphs to construct semi-parametric classifiers. These data-random digraphs are from parametrized random digraph families called proximity catch digraphs (PCDs). A related geometric digraph family, class cover catch digraph (CCCD), has been used to solve the class cover problem by using its…

2017-05-22abs ↗pdf ↗

A new method combines simple binary classifiers to build complex multiclass classifiers, achieving performance limits in a Gaussian setting.

problem Building a sophisticated multiclass classifier from simple binary decisions.
method Combining O(logK)O(\log K) simple binary classifiers to form a KK-class classifier.
result Explicit performance bounds across various decoding and dimensional regimes for a stylized Gaussian setting.

Paper studies multiclass classifiers from binary classifiers, proving methods and demonstrating advantages.

problem Constructing efficient multiclass classifiers from binary ones.
method Two methods: one vs. all and hierarchical classification, with a new leverage-hierarchical method introduced.
result Proves upper bounds and exact formulas for multiclass regret in terms of binary regrets.

In this article, we propose a novel probabilistic framework to improve the accuracy of a weighted majority voting algorithm. In order to assign higher weights to the classifiers which can correctly classify hard-to-classify instances, we introduce the Item Response Theory (IRT) framework to evaluate the samples' diffic…

2019-11-11abs ↗pdf ↗

New models for symplectic structures on classifying stacks.

problem Building models for symplectic structures on classifying stacks.
method Introducing mm-shifted symplectic Lie nn-groupoids and constructing explicit symplectic Morita equivalences.
result Explicit symplectic Morita equivalences between models of the 2-shifted symplectic structure on classifying stacks.

Specialists outperform generalists in ensemble classification.

problem Determining the accuracy of an ensemble of classifiers when individual classifier accuracies are known.
method Proved upper and lower bounds on ensemble accuracy, constructed specialist and generalist classifiers.
result Upper and lower bounds on ensemble accuracy, practical implications for classifier construction.

We prove the K(π,1)K(π,1) conjecture for affine Artin groups: the complexified complement of an affine reflection arrangement is a classifying space. This is a long-standing problem, due to Arnol'd, Pham, and Thom. Our proof is based on recent advancements in the theory of dual Coxeter and Artin groups, as well as on sever…

2019-07-26abs ↗pdf ↗

We propose a new randomized ensemble technique with a provable security guarantee against black-box transfer attacks. Our proof constructs a new security problem for random binary classifiers which is easier to empirically verify and a reduction from the security of this new model to the security of the ensemble classi…

2019-06-07abs ↗pdf ↗

Paper develops streaming algorithms to estimate classifier accuracy on unlabeled data.

problem Estimating classifier accuracy on unlabeled data with noisy decisions.
method Two algebraic evaluators: majority voting and a novel method to handle correlated classifiers.
result The novel method can be as accurate as 1% when handling small amounts of correlation.

We classify hyperbolic monopoles with continuous symmetries and construct new examples.

problem Classifying and constructing hyperbolic monopoles with continuous symmetries.
method Developed a Structure Theorem and used representation theory to simplify the problem.
result Found constraints on structure groups and constructed novel spherically symmetric Sp(n)\mathrm{Sp}(n) hyperbolic monopoles.

Improved signal classification using multiple wavelets and their smooth coefficients.

problem Signal classification accuracy declines with reduced attributes.
method Transform data with multiple wavelets, combine outputs, apply ensemble classifiers.
result Proposed technique outperforms raw data and single wavelet approaches.

The paper classifies market states to predict trading strategies, outperforming traditional methods.

problem Directly predicting prices or returns is unreliable; classifying market states is a better approach.
method Classify market states using various labels and features, then combine probabilities from neural networks.
result Trading strategy ensembles outperform traditional methods in returns and risk-adjusted returns.

Enhances functional classifier performance with new tree-based methods and unbiased feature importance assessment.

problem Challenges of high-dimensional functional data and biased feature importance assessment.
method Augmented functional classification trees and random forests with ad-hoc conditional permutations for unbiased feature importance.
result Significant enhancement in predictive power of functional classifiers through new feature importance assessment.

New classifier robust to adversarial perturbations from high-accuracy models.

problem Adversarial attacks on high-accuracy machine learning models.
method Randomized smoothing framework with random partitions and doubling dimension.
result Constructs a robust classifier with high accuracy and bounded adversarial error.

The purpose of this paper is to present a ``Cech-De Rham'' model for the cohomology of leaf spaces. This model lends itself to the construction of characteristic classes (in the cohomology of classifying spaces) by explicit geometrical constructions which are immediate extensions of the standard constructions for manif…

2000-12-10abs ↗pdf ↗

In unsupervised ensemble learning, one obtains predictions from multiple sources or classifiers, yet without knowing the reliability and expertise of each source, and with no labeled data to assess it. The task is to combine these possibly conflicting predictions into an accurate meta-learner. Most works to date assume…

2015-10-20abs ↗pdf ↗

We consider constant mean curvature surfaces of finite topology, properly embedded in three-space in the sense of Alexandrov. Such surfaces with three ends and genus zero were constructed and completely classified by the authors in arXiv:math.DG/0102183. Here we extend the arguments to the case of an arbitrary number o…

2005-09-09abs ↗pdf ↗

Uniform Closure Method and Bayes classifier perform similarly in classifying open knots.

problem Classifying knots in open macromolecular chains.
method Used the Bayes MAP classifier and compared it to the Uniform Closure Method.
result Both methods have comparable accuracy and positive predictive value.

Study characteristic classes for TC structures on principal G-bundles.

problem Classifying principal G-bundles with TC structures.
method Algebraic-geometric construction using power maps on BcomGB_{\mathrm{com}}G.
result Construction of characteristic classes for TC structures on SU(n)SU(n), U(n)U(n), and Sp(n)\mathrm{Sp}(n) bundles.

A log symplectic manifold is a Poisson manifold which is generically nondegenerate. We develop two methods for constructing the symplectic groupoids of log symplectic manifolds. The first is a blow-up construction, corresponding to the notion of an elementary modification of a Lie algebroid along a subalgebroid. The se…

2012-06-16abs ↗pdf ↗

Random Hyperboxes is a simple yet effective ensemble classifier.

problem Improving classification accuracy using ensemble methods.
method Random subsets of sample and feature spaces are used to train individual hyperbox-based classifiers, which are then combined into an ensemble.
result The proposed classifier outperforms other fuzzy min-max neural networks and ensemble methods on 20 datasets.

The study classifies complex symplectic structures on 4D Lie algebras and constructs hypersymplectic structures.

problem Classifying and constructing complex symplectic structures on 4D Lie algebras.
method Interpreting complex symplectic and pseudo-Kähler structures, developing a method for constructing hypersymplectic structures.
result Obtained an example of a hypersymplectic structure on a 4-step nilmanifold.

We continue the study of statistical/computational tradeoffs in learning robust classifiers, following the recent work of Bubeck, Lee, Price and Razenshteyn who showed examples of classification tasks where (a) an efficient robust classifier exists, in the small-perturbation regime; (b) a non-robust classifier can be l…

2019-02-04abs ↗pdf ↗

Classifies and constructs intertwining differential operators between line and vector bundles over real projective space.

problem Classifying and constructing intertwining differential operators between line and vector bundles over real projective space.
method F-method for classification and construction of intertwining differential operators.
result Generalizes a classical result of Bol for SL(2,R)SL(2,\mathbb{R}) and classifies intertwining operators for SL(n,R)SL(n,\mathbb{R}).

Risk bounds for Classification and Regression Trees (CART, Breiman et. al. 1984) classifiers are obtained under a margin condition in the binary supervised classification framework. These risk bounds are obtained conditionally on the construction of the maximal deep binary tree and permit to prove that the linear penal…

2009-02-18abs ↗pdf ↗

New method reduces labeler costs by aggregating predictions from local classifiers.

problem Reduce labeler costs in multiclass classification.
method Model KK-class classification using smaller classifiers trained on subsets of tasks.
result Near-optimal scheme for designing classifier configurations reduces labeler costs.

In practice, the data distribution at test time often differs, to a smaller or larger extent, from that of the original training data. Consequentially, the so-called source classifier, trained on the available labelled data, deteriorates on the test, or target, data. Domain adaptive classifiers aim to combat this probl…

2018-06-21abs ↗pdf ↗

Discrimination-aware classification is receiving an increasing attention in data science fields. The pre-process methods for constructing a discrimination-free classifier first remove discrimination from the training data, and then learn the classifier from the cleaned data. However, they lack a theoretical guarantee f…

2017-02-28abs ↗pdf ↗

Geometric framework for Milnor classifying spaces in diffeological spaces.

problem Milnor classifying spaces in diffeological spaces.
method Developed spherical and projective models with natural diffeological structures, constructed Riemannian metrics, defined differential forms, and introduced Clifford structures.
result Established a coherent geometric setting combining classifying spaces, diffeology, and higher geometric structures.