Research
On-device research index

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

Trend · papers per month

25.0%50.0%75.0%100.0% · Feb 199419922001200920172026
48 results for Text Fields

Classifies manifolds with specific spinors and constructs parallel spinors.

problem Classifying manifolds with generalized Killing spinors.
method Explicitly constructs parallel spinors and considers modified Dirac currents.
result Classifies Riemannian spin^c manifolds with type I and II imaginary generalized Killing spinors.

Classifies 3-manifolds with Killing vector fields, extending results from Riemannian to Lorentzian.

problem Classifying Riemannian and Lorentzian 3-manifolds with Killing vector fields.
method Analyzing scalar curvature and Ricci tensor, using quotient metrics and conformal flatness conditions.
result Complete local classification of Riemannian 3-manifolds and extension to Lorentzian.

This work proposes an efficient autoregressive model for text generation.

problem The challenge of generating high-quality text with autoregressive models.
method Introduces a cascaded decoding approach using Markov transformers to achieve sub-linear parallel time generation.
result Shows competitive accuracy/speed tradeoff compared to existing methods on five machine translation datasets.

Study on cohomology of special linear groups over Euclidean number rings.

problem Understanding cohomology of principal congruence subgroups of special linear groups.
method Analyzing cohomology groups and using properties of Tits buildings.
result Natural map between cohomology and homology is surjective and an isomorphism under certain conditions.

Automatic understanding of domain specific texts in order to extract useful relationships for later use is a non-trivial task. One such relationship would be between railroad accidents' causes and their correspondent descriptions in reports. From 2001 to 2016 rail accidents in the U.S. cost more than $4.6B. Railroads i…

2018-10-17abs ↗pdf ↗

BioFinBERT analyzes sentiment of biotech press releases and financial text around inflection points.

problem Analyzing sentiment of biotech press releases and financial text around inflection points.
method Finetuning BioBERT on financial datasets to create BioFinBERT for sentiment analysis.
result BioFinBERT accurately analyzes sentiment of biotech press releases and financial text around inflection points.

The moduli space of Hermitian-Einstein connections on certain manifolds has a strong Kähler with torsion structure.

problem Characterizing the moduli space of Hermitian-Einstein connections on manifolds with a dilaton field.
method Demonstrates the existence of a strong Kähler with torsion structure on the moduli space under specific conditions on the Lee form and dilaton field.
result The moduli space admits an induced holomorphic and Killing vector field when the manifold has a holomorphic and Killing vector field invariant under the dilaton.

Model improves BERT for answering multiple-choice questions in large texts.

problem Improving machine comprehension of large text corpora for question answering.
method Developed a model using BERT with a semantic similarity attention layer to extract key sentences.
result Outperforms leading models in MovieQA challenge with 87.79% test accuracy.

The paper explores geometric and algebraic structures on Lie groups.

problem Investigating F-manifolds and Fextman_ ext{man}-algebras on Lie groups.
method Constructing a canonical connection and analyzing curvature and holonomy.
result Established the integrability of a Poisson-algebra distribution.

DreamFusion uses text-to-image diffusion models to create 3D images efficiently.

problem Lack of large-scale 3D datasets and efficient architectures for 3D synthesis.
method Adapting a 2D diffusion model to 3D synthesis using a loss based on probability density distillation.
result A 3D model can be optimized from a 2D diffusion model, allowing for text-to-3D synthesis.

This is the text from a talk at the Arbeitstagung 2011, which can serve as an introduction to arxiv:1009.0736 and arXiv:1007.0907. I first discuss how a global field is determined by a certain dynamical system, and how this relates to abelian L-series determining those fields. I then discuss an analog in Riemannian geo…

2011-07-11abs ↗pdf ↗

In this text we introduce the torsion of spinor connections. In terms of the torsion we give conditions on a spinor connection to produce Killing vector fields. We relate the Bianchi type identities for the torsion of spinor connections with Jacobi identities for vector fields on supermanifolds. Furthermore, we discuss…

2006-11-09abs ↗pdf ↗

Develops Weil bundles over \( p \)-adic manifolds for arithmetic geometry.

problem Connecting differential calculus and arithmetic geometry over \( p \)-adic fields.
method Systematic theory of Weil bundles, developing analytic structures.
result Establishes canonical analytic structures on Weil bundles and their cohomological comparison.

The polysymplectic (n+1)(n+1)-form is introduced as an analogue of the symplectic form for the De Donder-Weyl polymomentum Hamiltonian formulation of field theory. The corresponding Poisson brackets on differential forms are constructed. The analogues of the Poisson algebra are shown to be generalized (non-commutative and…

1996-12-31abs ↗pdf ↗

As the Portable Document Format (PDF) file format increases in popularity, research in analysing its structure for text extraction and analysis is necessary. Detecting headings can be a crucial component of classifying and extracting meaningful data. This research involves training a supervised learning model to detect…

2018-08-31abs ↗pdf ↗

Solutions to a quadratic matrix equation are linked to strongly regular graphs and multiplicative characters.

problem Solving a specific quadratic matrix equation in Riemannian geometry.
method Constructing nonzero solutions using group rings and multiplicative characters of finite fields.
result Solutions relate to strongly regular graphs and multiplicative characters of finite fields.

A new test assesses text similarity between two groups of documents.

problem Comparing similarity between two groups of documents.
method Neural network-based language models estimate entropy, and a test statistic derived from an estimation-and-inference framework is used.
result The proposed test maintains the nominal Type one error rate while offering greater power compared to existing methods.

Early detection of preventable diseases is important for better disease management, improved inter-ventions, and more efficient health-care resource allocation. Various machine learning approacheshave been developed to utilize information in Electronic Health Record (EHR) for this task. Majorityof previous attempts, ho…

2018-08-15abs ↗pdf ↗

Develops Schouten-Nijenhuis bracket on infinite-dimensional manifolds.

problem Defining the Schouten-Nijenhuis bracket on smooth infinite-dimensional manifolds.
method Two-step approach: first for summable multivector fields, then for sections of a specific sheaf.
result Formalizes Schouten-Nijenhuis bracket on infinite-dimensional manifolds.

For any compact oriented manifold MM, we show that that the top degree multi-vector fields transverse to the zero section of topTM\wedge^{\text{top}}TM are classified, up to orientation preserving diffeomorphism, in terms of the topology of the arrangement of its zero locus and a finite number of numerical invariants. Th…

2002-09-26abs ↗pdf ↗

This paper addresses the problem of predicting duration of unplanned power outages, using historical outage records to train a series of neural network predictors. The initial duration prediction is made based on environmental factors, and it is updated based on incoming field reports using natural language processing …

2018-04-03abs ↗pdf ↗

We adapt the Newman-Penrose formalism in general relativity to the setting of three-dimensional Riemannian geometry, and prove the following results. Given a Riemannian 3-manifold without boundary and a smooth unit vector field k{\boldsymbol k} with geodesic flow, if an integral curve of k{\boldsymbol k} is hypersurf…

2014-10-27abs ↗pdf ↗

Novel alignment framework for text-to-image generation using diffusion models and flow matching.

problem Improving text-to-image generation with minimal computational resources.
method Proposes a novel alignment framework that decomposes the score function into pre-trained score plus a conditional expectation of the reward.
result Achieves comparable performance to finetuning-based models with reduced computational cost.

In this text we give a decomposition result on polynomial poly-vector fields generalizing a result on the decomposition of homogeneous Poisson structures. We discuss consequences of this decomposition result in particular for low dimensions and low degrees. We provide the tools to calculate simple cubic Poisson structu…

2004-09-09abs ↗pdf ↗

Given a regular bounded domain ΩR2mΩ\subset\R{2m}, we describe the limiting behavior of sequences of solutions to the mean field equation of order 2m2m, m1m\geq 1, (Δ)mu=ρe2muΩe2mudxinΩ,(-Δ)^m u=ρ\frac{e^{2mu}}{\int_Ωe^{2mu}dx}\quad\text{in}Ω, under the Dirichlet boundary condition and the bound 0<ρC0<ρ\leq C. We emphasize the connection wi…

2009-04-21abs ↗pdf ↗

Study quantifies properties of PMC hypersurfaces with area bounds.

problem Understanding the topology and singular set of PMC hypersurfaces.
method Established quantitative topological and singularity properties for PMC hypersurfaces.
result Quantitative bounds on Betti numbers and Minkowski content of singular sets.

Essential tori in certain 3-manifolds are missed by ideal points in character varieties.

problem Essential tori in 3-manifolds are not detected by ideal points in character varieties.
method Infinite families of 3-manifolds are constructed to show the existence of essential tori not detected by ideal points in character varieties over any algebraically closed field.
result Essential tori in 3-manifolds are missed by ideal points in character varieties over any algebraically closed field.

Proposes CLRS-Text, a new benchmark for evaluating LM reasoning capabilities.

problem Lack of transferable benchmarks for evaluating reasoning capabilities of language models.
method Developed a textual version of the CLRS benchmark, generating diverse algorithmic tasks.
result Demonstrates a novel challenge for the LM reasoning community and validates prior work.

The abstract defines and studies a Tits building for commutative rings and proves a Solomon-Tits theorem under certain conditions.

problem Defining and studying a Tits building for commutative rings.
method Proving a Solomon-Tits theorem for commutative rings under specific conditions, defining Steinberg modules, and computing ranks and lengths.
result Proves a Solomon-Tits theorem for commutative rings satisfying certain conditions.

Speech Translation has always been about giving source text or audio input and waiting for system to give translated output in desired form. In this paper, we present the Acoustic Dialect Decoder (ADD) - a voice to voice ear-piece translation device. We introduce and survey the recent advances made in the field of Spee…

2016-10-13abs ↗pdf ↗

Improved text generation with constraints using discrete auto-regressive biasing.

problem Balancing fluency and constraint satisfaction in LLM outputs.
method Discrete Auto-regressive Biasing, leveraging gradients in discrete text space.
result Significantly improved constraint satisfaction with comparable fluency.

A selfsimiar manifold is a Riemannian manifold (M,g)\left(M,g\right) endowed with a homothetic vector field ξξ. We characterize global selfsimilar manifolds and describe the structure of local selfsimilar manifolds. We prove that any selfsimilar manifold with a potential homothetic vector field is a conical Riemannian ma…

2019-08-05abs ↗pdf ↗

Historically, games of all kinds have often been the subject of study in scientific works of Computer Science, including the field of machine learning. By using machine learning techniques and applying them to a game with defined rules or a structured dataset, it's possible to learn and improve on the already existing …

2018-10-08abs ↗pdf ↗