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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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48 results for abstract-level structure

The paper proposes a method to transfer knowledge across different settings using causal theory.

problem Learning transfer across similar but different settings.
method Bayesian perspective of causal theory induction, integrating instance-level associative learning and abstract-level structural causal knowledge.
result The proposed model achieved transfer behavior across trials and learning situations, unlike RL algorithms.

Biological systems are often modelled at different levels of abstraction depending on the particular aims/resources of a study. Such different models often provide qualitatively concordant predictions over specific parametrisations, but it is generally unclear whether model predictions are quantitatively in agreement, …

2016-05-07abs ↗pdf ↗

The joint optimization of representation learning and clustering in the embedding space has experienced a breakthrough in recent years. In spite of the advance, clustering with representation learning has been limited to flat-level categories, which often involves cohesive clustering with a focus on instance relations.…

2019-01-28abs ↗pdf ↗

We consider learning based methods for visual localization that do not require the construction of explicit maps in the form of point clouds or voxels. The goal is to learn an implicit representation of the environment at a higher, more abstract level. We propose to use a generative approach based on Generative Query N…

2018-07-04abs ↗pdf ↗

Deligne cohomology can be viewed as a differential refinement of integral cohomology, hence captures both topological and geometric information. On the other hand, it can be viewed as the simplest nontrivial version of a differential cohomology theory. While more involved differential cohomology theories have been expl…

2017-06-08abs ↗pdf ↗

Optimus pre-trains sentences in a latent space for various NLP tasks.

problem Training large-scale language models for diverse NLP tasks.
method Pre-trained Variational Autoencoder (VAE) on large text corpus, fine-tuned for various tasks.
result Optimus achieves state-of-the-art on VAE language modeling benchmarks.

Formalizes concepts as latent variables in hierarchical models for high-dimensional data.

problem Lack of formalization and theoretical insights for learning discrete concepts from high-dimensional data.
method Formalizes concepts as latent causal variables in a hierarchical model, formulates conditions for concept identification.
result Conditions for identifying latent hierarchical models in unsupervised data, handling complex structures and high-dimensional data.

Paper defines and proves geometric uniqueness of Einstein field equations.

problem Einstein field equations characteristic Cauchy problem
method Covariant definition of double null data, proving geometric uniqueness
result Double null data fully covariant and geometrically unique

Enhances BO with expert preferences about abstract properties.

problem Lack of expert knowledge in BO for black-box experimental design.
method Human-AI collaboration to incorporate expert preferences into surrogate modeling.
result Superior performance compared to baselines in synthetic and real-world datasets.

For a social networking service to acquire and retain users, it must find ways to keep them engaged. By accurately gauging their preferences, it is able to serve them with the subset of available content that maximises revenue for the site. Without the constraints of an appropriate regulatory framework, we argue that a…

2017-01-17abs ↗pdf ↗

Sum-Product Networks (SPNs) are recently introduced deep tractable probabilistic models by which several kinds of inference queries can be answered exactly and in a tractable time. Up to now, they have been largely used as black box density estimators, assessed only by comparing their likelihood scores only. In this pa…

2016-08-29abs ↗pdf ↗

This paper tackles computational bottlenecks in federated learning on mobile devices.

problem Computationally heterogeneous mobile devices hinder federated learning efficiency.
method Proposes efficient algorithms to schedule mobile devices based on data heterogeneity.
result Achieves up to 100x speedup and 7% accuracy gain in federated learning.

Researchers use human-in-the-loop to create counterfactually augmented data, improving model performance.

problem Creating ML models less reliant on spurious patterns in NLP datasets.
method A human-in-the-loop process to curate counterfactually augmented data (CAD), prohibiting unnecessary edits.
result Models trained on CAD appear to rely less on semantically irrelevant words and generalize better out of domain.

The paper introduces new structures for left-symmetric algebroids.

problem Developing new mathematical structures for left-symmetric algebroids.
method Introducing Koszul-Vinberg-Nijenhuis structures and related concepts.
result Koszul-Vinberg-Nijenhuis structures provide a hierarchy of structures.

We give a notion of compatibility between a Riemannian structure and a Jacobi structure. We prove that in case of fundamental examples of Jacobi structures : Poisson structures, contact structures and locally conformally symplectic structures, we get respectively Riemann-Poisson structures in the sense of M. Boucetta, …

2018-02-25abs ↗pdf ↗

We give a notion of compatibility between a Riemannian metric and a Jacobi structure. We prove that in case of Poisson structures, contact structures and locally conformally symplectic structures, fundamental examples of Jacobi structures, we get respectively Riemann-Poisson structures in the sense of M. Boucetta, $\fr…

2017-08-14abs ↗pdf ↗

Study on G2G_2^* structures and almost para-contact structures in 7D.

problem Understanding the relation between G2G_2^* structures and almost para-contact structures.
method Calculating projections using properties of G2G_2^* structures.
result Determined the class of almost para-contact structures induced by G2G_2^* structures.

Defines a new Poisson structure for generalized Sasakian spaces.

problem No specific problem stated; focuses on new structure definition.
method Defines a canonical Poisson structure on generalized contact metric spaces.
result Shows distinction between generalized Sasakian and coKähler structures.

Study on types of generalized hypercomplex structures on tori and Kodaira-Thurston surface.

problem Characterizing types of generalized hypercomplex structures.
method Analysis of S2S^2-family of generalized complex structures and study of twistor spaces.
result Existence of generalized hypercomplex structures on 4n4n-dimensional tori with non-maximal types.

Extends corner structure study to general case, constructs normal Trans-Sasakian structures.

problem Extending corner structure study to general case without conditions.
method Extends corner structure to general case, constructs Trans-Sasakian structures from non-normal corner structures.
result Constructs normal Trans-Sasakian structures from non-normal corner structures.

The paper explores geometric structures on Hom-Lie groups and algebras.

problem Exploring Kähler-Norden structures on Hom-Lie groups and algebras.
method Analyzing the relationship between holomorphic Norden structures and Kähler-Norden structures on Hom-Lie groups.
result Left-invariant holomorphic Hom-Lie groups with abelian complex structures are flat.

New metric structures generalize Sasakian and cosymplectic structures, proving rigidity and finding conditions.

problem Generalizing Sasakian and cosymplectic structures to new metric structures.
method Introducing weak structures and proving rigidity of Sasakian structures.
result Any weak Sasakian structure is homothetically equivalent to a Sasakian structure.

Study GL(2)GL(2)-structures on manifolds leading to complex structures.

problem Understanding GL(2)GL(2)-structures and their relation to complex structures.
method Explored GL(2)GL(2)-structures on differential manifolds, proving their relation to almost-complex structures and providing a canonical connection.
result Established a twistor-like construction for GL(2)GL(2)-geometry.

Hypersymplectic structures with torsion on Lie algebroids are investigated. We show that each hypersymplectic structure with torsion on a Lie algebroid determines three Nijenhuis morphisms. From a contravariant point of view, these structures are twisted Poisson structures. We prove the existence of a one-to-one corres…

2015-01-05abs ↗pdf ↗

Study equivalence between Hessian and Born structures on tangent bundles.

problem Equivalence between Hessian and Born structures on tangent bundles.
method Analyzing conditions for Hessian structures and integrability of induced almost Born structures.
result Conditions for equivalence between Hessian and Born structures are established.

Introduces compatibility between Dirac structures and Nijenhuis tensors.

problem No specific problem stated; focuses on extending Poisson-Nijenhuis structures.
method Introduces compatibility between Dirac structures and (1,1)-tensor fields.
result Properties of Dirac-Nijenhuis structures studied, including connections and integrations.

The paper studies nilpotent structures in oriented neutral vector bundles and neutral hyperKähler structures.

problem Nilpotent structures in oriented neutral vector bundles and their relation to neutral hyperKähler structures.
method Defined HH-nilpotent structures for Lie subgroups of SO(2n,2n)SO(2n, 2n) related to neutral hyperKähler structures.
result Existence of complex and paracomplex structures forming neutral hyperKähler structures if and only if there exists an HH-nilpotent structure.

Spin-structures on real Bott manifolds with Kähler structure are characterized.

problem Existence of spin-structures on real Bott manifolds with Kähler structure.
method Ishida characterization and techniques from \cite{PS16} using characteristic classes.
result Necessary and sufficient condition for the existence of spin-structures on MM.

In this paper, we show the existence of (co-oriented) contact structures on certain classes of G2G_2-manifolds, and that these two structures are compatible in certain ways. Moreover, we prove that any seven-manifold with a spin structure (and so any manifold with G2G_2-structure) admits an almost contact structure. We…

2011-12-13abs ↗pdf ↗