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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.

168,657 papers · 148 categories

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316293124 · Jun 202019922001200920172026
48 results for page quality

Generative models predict page quality without training, useful for low-resource settings.

problem Detecting low-quality content in web articles.
method Human evaluation and analysis of 500 million web articles.
result Generative models can predict page quality without training, useful for low-resource settings.

Descriptive titles provide crucial context for interpreting tables that are extracted from web pages and are a key component of table-based web applications. Prior approaches have attempted to produce titles by selecting existing text snippets associated with the table. These approaches, however, are limited by their d…

2018-06-30abs ↗pdf ↗

The paper refines the three-page index for links, proving a new bound and characterizing specific links.

problem Investigating the three-page index invariant for links and proving bounds.
method Constructing three-page presentations from reduced link diagrams via binding circles and contractible subcomplexes.
result Proves a new bound for the three-page index and characterizes links achieving equality.

We construct a series of finitely presented semigroups. The centers of these semigroups encode uniquely up to rigid ambient isotopy in 3-space all non-oriented spatial graphs. This encoding is obtained by using three-page embeddings of graphs into the product of the line with the cone on three points. By exploiting thr…

2004-07-19abs ↗pdf ↗

Improved linear upper bound for ribbonlength of knots.

problem Estimating the ribbonlength of knots and links.
method Using four-page open book decompositions and spanning trees of checkerboard graphs, constructing a four-page presentation with at most 2c(K) arcs.
result Proved that ribbonlength is bounded above by the four-page index, leading to the linear bound Rib(K) ≤ 2c(K).

PAGE is a simple gradient estimator for nonconvex optimization problems.

problem Nonconvex optimization problems in machine learning.
method PAGE is a probabilistic gradient estimator that uses vanilla SGD with probability and a small adjustment with probability 1-p.
result PAGE achieves optimal convergence rates for nonconvex finite-sum and online problems.

New invariant distinguishes Legendrian surfaces in 5-manifolds.

problem Distinguishing Legendrian surfaces in closed contact 5-manifolds.
method Introduced a new Legendrian isotopy invariant, MPX(L)M\mathcal{P}_{X}(L), and extended it to an absolute invariant.
result New invariant distinguishes surfaces not distinguishable by Thurston-Bennequin invariant.

We construct a contact 5-manifold supported by infinitely many distinct open books with the identity monodromy and pairwise exotic Stein pages (i.e. pages are pairwise homeomorphic but non-diffeomorphic Stein fillings of a fixed contact 3-manifold), moreover we describe a process of generating infinitely many such exam…

2015-02-21abs ↗pdf ↗

Optimization is commonly employed to determine the content of web pages, such as to maximize conversions on landing pages or click-through rates on search engine result pages. Often the layout of these pages can be decoupled into several separate decisions. For example, the composition of a landing page may involve dec…

2018-10-22abs ↗pdf ↗

In this paper, we study some classes of submanifolds of codimension one and two in the Page space. These submanifolds are totally geodesic. We also compute their curvature and show that some of them are constant curvature spaces. Finally we give information on how the Page space is related to some other metrics on the …

2016-08-10abs ↗pdf ↗

Remasking improves the quality of discrete diffusion models for natural language and image generation.

problem Limited iterative refinement in masked discrete diffusion models.
method Introducing ReMDM sampler that allows remasking during inference.
result Remasking enables better quality outputs with increased sampling steps.

The paper extends Hawking--Page solutions to various spacetimes with singularities.

problem Understanding the extensions of Hawking--Page solutions with different types of singularities.
method Kaluza--Klein reduction and Christodoulou's methods.
result Extensions of Lorentzian Hawking--Page solutions with null, spacelike singularities, and Cauchy horizons of Taub--NUT type are proven.

Freya PAGE optimizes nonconvex optimization with heterogeneous, asynchronous workers.

problem Optimizing nonconvex finite-sum problems with varying worker processing times.
method Freya PAGE, a parallel method robust to stragglers and adaptive to slow computations.
result Freya PAGE offers improved time complexity guarantees compared to previous methods.

TailedTS dataset benchmarks heavy-tailed time series forecasting and periodicity quantification.

problem Benchmarking robustness of time series models under heavy-tailed distributions.
method Derived from Wikipedia page views, introduces periodicity quantification and robust loss functions.
result Standard Gaussian models degrade on high-volume page categories, while robust alternatives perform consistently.

We construct, somewhat non-standard, Legendrian surgery diagrams for some Stein fillable contact structures on some plumbing trees of circle bundles over spheres. We then show how to put such a surgery diagram on the pages of an open book for S3,S^3, with relatively low genus. Thus we produce open books with low genus p…

2006-07-14abs ↗pdf ↗

In this note, we define a new invariant of a Legendrian knot in a contact manifold using an open book decomposition supporting the contact structure. We define the support genus sg(L) of a Legendrian knot L in a contact 3-manifold (M, ξ) as the minimal genus of a page of an open book of M supporting the contact structu…

2009-05-14abs ↗pdf ↗

We address the problem of speech enhancement generalisation to unseen environments by performing two manipulations. First, we embed an additional recording from the environment alone, and use this embedding to alter activations in the main enhancement subnetwork. Second, we scale the number of noise environments presen…

2018-10-26abs ↗pdf ↗

In this note we define three invariants of contact structures in terms of open books supporting the contact structures. These invariants are the support genus (which is the minimal genus of a page of a supporting open book for the contact structure), the binding number (which is the minimal number of binding components…

2006-05-16abs ↗pdf ↗

Taobao, as the largest online retail platform in the world, provides billions of online display advertising impressions for millions of advertisers every day. For commercial purposes, the advertisers bid for specific spots and target crowds to compete for business traffic. The platform chooses the most suitable ads to …

2017-02-27abs ↗pdf ↗

Given any closed, connected, orientable 33--manifold and integers gg(M),D>0g\geq g(M), D > 0, we show the existence of knots in MM whose genus gg bridge number is greater than DD. These knots lie in a page of an open book decomposition of MM, and the proof proceeds by examining the action of the map induced by the monodr…

2015-02-14abs ↗pdf ↗

FinReflectKG benchmarks financial QA by linking relevant context from a financial KG, improving model performance and efficiency.

problem Efficiently retrieving and navigating relevant financial information across diverse sources and years.
method A benchmark built on a temporally indexed financial KG, generating QA pairs via pattern-specific prompts and quality control, evaluating retrieval scenarios.
result KG-guided retrieval yields substantial gains in correctness and token utilization, improving model performance by 24%.

The project aims to research on combining deep learning specifically Long-Short Memory (LSTM) and basic statistics in multiple multistep time series prediction. LSTM can dive into all the pages and learn the general trends of variation in a large scope, while the well selected medians for each page can keep the special…

2017-10-12abs ↗pdf ↗

The contents of this 98-page paper have been subsumed into the 191-page paper "A colored sl(N)-homology for links in S^3" (arXiv:0907.0695v1 [math.GT]), in which we further develop the theory and use it to construct a colored link homology.

2008-03-14abs ↗pdf ↗

Study shows non-existence of certain contact structures on odd-dimensional manifolds.

problem Existence of contact structures with flexible pages on odd-dimensional manifolds.
method Proved a topological obstruction and used symplectic actions to show non-existence.
result Non-existence of contact open books with flexible pages for certain manifolds.

Study on stability of minimal submanifolds in specific Einstein manifolds.

problem Investigating stability of minimal submanifolds in Einstein manifolds.
method Analyzing homogeneous minimal hypersurfaces in Page space and Sasaki-Einstein manifolds, computing stability operators and indices.
result Determined all homogeneous, minimal hypersurfaces and computed their stability operators and indices.

A spectral sequence is established, whose E2E_{2} page is Bar-Natan's variant of Khovanov homology and which abuts to a deformation of instanton homology for knots and links. This spectral sequence arises as a specialization of a spectral sequence whose E2E_{2} page is a characteristic-2 version of F5F_{5} homology, in…

2019-10-18abs ↗pdf ↗

On a compact ˉ\partial\bar\partial-manifold XX, one has the Hodge decomposition: the de Rham cohomology groups split into subspaces of pure-type classes as HdRk(X)=p+q=kHp,q(X)H_{dR}^k (X)=\oplus_{p+q=k}H^{p,\,q}(X), where the Hp,q(X)H^{p,\,q}(X) are canonically isomorphic to the Dolbeault cohomology groups Hˉp,q(X)H_{\bar\partial}^{p,\,q}(X). F…

2020-01-07abs ↗pdf ↗

A search engine recommends to the user a list of web pages. The user examines this list, from the first page to the last, and clicks on all attractive pages until the user is satisfied. This behavior of the user can be described by the dependent click model (DCM). We propose DCM bandits, an online learning variant of t…

2016-02-09abs ↗pdf ↗

Introduces new cohomologies on complex manifolds, extending classical Bott-Chern and Aeppli.

problem Characterizing and studying cohomologies on complex manifolds.
method Introducing ErE_r-Bott-Chern and ErE_r-Aeppli cohomologies, extending classical cohomologies.
result Provides analogues of Serre duality and characterizes page-(r1)(r-1)-ˉ\partial\bar\partial-manifolds.

Classifies Einstein metrics on 4-manifolds with specific symmetry groups.

problem Classifying Einstein metrics on 4-manifolds with certain symmetry properties.
method Analyzes cohomogeneity-one Einstein metrics and uses symmetry properties.
result Locally symmetric or homothetic to the Page metric on CP2CP2\mathbf{CP}^2 \sharp \overline{\mathbf{CP}}^2.

Graph Energy Matching improves generation quality for molecular graphs.

problem Discrete energy-based models struggle with efficient and high-quality sampling for graph generation.
method Inspired by transport-map optimization, Graph Energy Matching learns a permutation-invariant potential energy to guide sampling.
result GEM matches or surpasses discrete diffusion baselines on molecular graph benchmarks.