arXiv research

SpecGD mitigates misalignment in phase retrieval models with anisotropic inputs.

Paper explains how early stopping helps distillation in overparameterized neural networks.

Study shows how anisotropic data affects learning dynamics in phase retrieval.

A new method, InfoGuide, improves automatic clustering analysis.

HybridRAG combines KGs and vector retrieval for financial document Q&A.

Sharp asymptotics derived for phase retrieval and compressed sensing with random generative priors.

We study the task of retrieving relevant experiments given a query experiment. By experiment, we mean a collection of measurements from a set of `covariates' and the associated `outcomes'. While similar experiments can be retrieved by comparing available `annotations', this approach ignores the valuable information ava…

On most sponsored search platforms, advertisers bid on some keywords for their advertisements (ads). Given a search request, ad retrieval module rewrites the query into bidding keywords, and uses these keywords as keys to select Top N ads through inverted indexes. In this way, an ad will not be retrieved even if querie…

Most content-based image retrieval systems consider either one single query, or multiple queries that include the same object or represent the same semantic information. In this paper we consider the content-based image retrieval problem for multiple query images corresponding to different image semantics. We propose a…

BERT model improves cross-lingual document retrieval.

Topology-based information retrieval improves query accuracy.

This paper improves image retrieval accuracy through novel relevance feedback methods.

In this paper, we investigate a holonomy invariant elliptic anisotropic surface energy for hypersurfaces in a complete Riemannian manifold, where "holonomy invariant" means that the elliptic parametric Lagrangian (i.e., a Finsler metric) of the Riemannian manifold used to define the anisotropic surface energy is consta…

Proposes a new CNN for meshes that can handle orientation.

Transformer models improve query-document retrieval efficiency and accuracy.

Improved regret bounds for bandit phase retrieval.

Paper proves anisotropic Minkowski inequality and related inequalities.

Motivation: Public and private repositories of experimental data are growing to sizes that require dedicated methods for finding relevant data. To improve on the state of the art of keyword searches from annotations, methods for content-based retrieval have been proposed. In the context of gene expression experiments, …

New Kelvin transform for anisotropic elliptic problems.

Paper solves anisotropic capillary Minkowski problem for p ≥ 1.

New cooperative dynamics enhances retrieval performance in neural networks.

Learning an encoding of feature vectors in terms of an over-complete dictionary or a information geometric (Fisher vectors) construct is wide-spread in statistical signal processing and computer vision. In content based information retrieval using deep-learning classifiers, such encodings are learnt on the flattened la…

Paper proves rigidity results for anisotropic capillary hypersurfaces.

Paper solves Minkowski problem for anisotropic p-torsional rigidity.

Anisotropic min-max theory constructs stable minimal surfaces in 3-manifolds.

Unique ancient solutions found for anisotropic curve shortening flow.

Formula proves monotonicity for anisotropic minimal hypersurfaces.

DeepTrust uses NLP to quickly identify and verify financial anomalies on Twitter.

In this paper, we study the anisotropic Minkowski problem. It is a problem of prescribing the anisotropic Gauss-Kronecker curvature for a closed strongly convex hypersurface in Euclidean space as a function on its anisotropic normals in relative or Minkowski geometry. We first formulate such problem to a Monge-Ampére t…

Motivated by the study of wave fronts in anisotropic media, we propose an incidence geometry of anisotropic spheres in a Finsler-Minkowski space. An anisotropic version of the Laguerre functional is considered. In some circumstances, this functional can be used to determine that two wavefronts observed at distinct time…

Adequate evaluation of an information retrieval system to estimate future performance is a crucial task. Area under the ROC curve (AUC) is widely used to evaluate the generalization of a retrieval system. However, the objective function optimized in many retrieval systems is the error rate and not the AUC value. This p…

We introduce the anisotropic tensor calculus, which is a way of handling with tensors that depend on the direction remaining always in the same class. This means that the derivative of an anisotropic tensor is a tensor of the same type. As an application, we show how to define derivations using anisotropic linear conne…

Paper aims to improve relevance of e-commerce search results.

Improves retrieval accuracy for hierarchical documents, especially for distant matches.

A general approach to formulation of supergravity in higher order anisotropic superspaces (containing as particular cases different supersymmetric extensions and prolongations of Riemann, Finsler, Lagrange and Kaluza--Klein spaces) is given. We analyze three models of locally anisotropic supergravity.

Develops a PDE approach to constructing nontrivial anisotropic surfaces.

Paper studies stability of curved surfaces in a half-space.

Characterizes paths minimizing anisotropic lengths in Euclidean space.

Anisotropic minimal graphs over half-spaces are flat.

Enhances hashing for fast retrieval with correlated bits.

Study anisotropic flow for capillary hypersurfaces, proving new inequalities.

In this note, we give a classification of complete anisotropic isoparametric hypersurfaces, i.e., hypersurfaces with constant anisotropic principal curvatures, in Euclidean spaces, which is in analogue with the classical case for isoparametric hypersurfaces in Euclidean spaces. On the other hand, by an example of local…

This paper will explore the use of autoencoders for semantic hashing in the context of Information Retrieval. This paper will summarize how to efficiently train an autoencoder in order to create meaningful and low-dimensional encodings of data. This paper will demonstrate how computing and storing the closest encodings…

Graphs with bounded anisotropic mean curvature are regular almost everywhere.

Study anisotropic capillary surfaces in a wedge using generalized Minkowski norms.

We study surfaces with constant anisotropic mean curvature which are invariant under a helicoidal motion. For functionals with axially symmetric Wulff shapes, we generalize the recently developed twizzler representation of Perdomo to the anisotropic case and show how all helicoidal constant anisotropic mean curvature s…

Finding relationships between multiple views of data is essential both for exploratory analysis and as pre-processing for predictive tasks. A prominent approach is to apply variants of Canonical Correlation Analysis (CCA), a classical method seeking correlated components between views. The basic CCA is restricted to ma…

The study finds anisotropic minimal surfaces in 3-manifolds with smooth boundaries.