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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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17335066 · May 202619922001200920172026
48 results for solder joints

Adaptive BO improves solder joint reliability by 3% with half the computational cost.

problem Improving solder joint reliability under thermomechanical loading.
method Adaptive Bayesian optimization with Gaussian process regression.
result Adaptive BO outperforms regular BO by 3% on average at any given computational budget.

In an earlier paper we discussed soldered forms, multivector fields and Riemannian metrics. In particular, we showed that a Riemannian submanifold is totally geodesic iff the metric is soldered to the submanifold. In the present note we discuss general, soldered tensor fields. In particular, we prove that the almost co…

2010-06-30abs ↗pdf ↗

Optimizes chip component placement with self-alignment for SMT technology.

problem Achieving precise component placement on PCB during SMT process.
method Proposed machine learning algorithms (SVR and RFR) to predict component positions and developed non-linear optimization model.
result RFR model outperforms in predicting component positions before reflow.

The notion of a Dirac submanifold of a Poisson manifold was studied by Xu (arXiv:math.SG/0110326). We give an interpretation of Xu's definition in terms of a general notion of tensor fields soldered to a normalized submanifold. Then, this interpretation is used to define Dirac submanifolds of a Jacobi manifold. Several…

2002-05-02abs ↗pdf ↗

We study special Lagrangian fibrations of SU(3)\mathrm{SU}(3)-manifolds, not necessarily torsion-free. In the case where the fiber is a unimodular Lie group GG, we decompose such SU(3)\mathrm{SU}(3)-structures into triples of solder 1-forms, connection 1-forms and equivariant 3×33\times3 positive-definite symmetric matrix-va…

2018-01-17abs ↗pdf ↗

Study develops machine learning model to predict component movement during reflow in SMT.

problem Inaccurate self-alignment of components during reflow process in SMT leads to defects.
method Experimental data analysis followed by advanced machine learning models (SVR, NN, RFR) to predict component shift in x, y, and rotational directions.
result Random forest regression (RFR) model predicts component shift with high accuracy and low error.

The geometric content of the MacDowell-Mansouri formulation of general relativity is best understood in terms of Cartan geometry. In particular, Cartan geometry gives clear geometric meaning to the MacDowell-Mansouri trick of combining the Levi-Civita connection and coframe field, or soldering form, into a single physi…

2006-11-30abs ↗pdf ↗

Develops a unified theory of Yang-Mills and GR using generalized principal bundles.

problem Combining Yang-Mills theories and General Relativity into a single framework.
method Using generalized principal bundle theory, the authors develop a new approach to field theories.
result Recover General Relativity within the framework of generalized principal connections.

Proposes a new variational principle for Einstein gravity.

problem Formulating Einstein gravity as a gauge theory for the conformal group.
method First order formulation of conformal tractor geometry, variational principle based on abstract principal bundle.
result Provides first order field equations without requiring supplementary constraints.

The paper explores the relationship between joint mixability and negative dependence structures.

problem Understanding the connection between joint mixability and various negative dependence concepts.
method Analyzes the properties of joint mixes and their relation to negative dependence structures.
result Derives necessary and sufficient conditions for a joint mix to be negatively dependent.

We discuss the general properties of the theory of joint invariants of a smooth Lie group action in a manifold. Many of the known results about differential invariants, including Lie's finiteness theorem, have simpler versions in the context of joint invariants. We explore the relation between joint and differential in…

2014-10-29abs ↗pdf ↗

Paper proposes a new method to evaluate joint risk under uncertainty.

problem Evaluating joint risk of multiple insurance risks under dependence uncertainty.
method Axiomatic approach to scalar and vector-valued distortion joint risk measures.
result Established a new scalar distortion joint risk measure with positive homogeneity.

Introduces joint Shapley values to measure feature importance in models.

problem Measuring the importance of feature sets in machine learning models.
method Extends Shapley's axioms to measure a set of features' average contribution to a model's prediction.
result Joint Shapley values provide unique insights and are more consistent with local intuitions.

Study proposes a new model for joint survival annuity valuation.

problem Valuation of joint survival annuities and options.
method Linear-rational Wishart mortality model based on stochastic matrix affine process.
result Derives closed-form expression for joint survival annuity and option.

Estimates joint causal effects using single-variable interventions on nonlinear models.

problem Estimating joint causal effects from single-variable interventions.
method Identifiability result and practical estimator for decomposing causal effects.
result Joint effects can be inferred without joint interventional data for nonlinear additive models.

Proposes joint LCA for multiview data to identify shared and view-specific components.

problem Extracting shared components sequentially from multiview data.
method Formulates a matrix decomposition model with joint and individual structures, proposes a penalty term objective function, and employs a refitting procedure.
result Achieves simultaneous estimation and rank selection for cross covariance.

Joint diffusion models improve data representation for both generation and prediction.

problem Inconsistent performance between generation and classification tasks in joint models.
method Extended vanilla diffusion model with a classifier for joint end-to-end training.
result Joint diffusion model outperforms state-of-the-art hybrid methods in classification and generation.

The Neural Testbed evaluates joint predictions of neural agents, revealing their limitations.

problem Evaluating the quality of joint predictions generated by neural agents.
method Developed an open-source benchmark (The Neural Testbed) to assess agents' marginal and joint predictions.
result Popular Bayesian deep learning agents perform poorly on joint predictions, even with accurate marginal predictions.

We consider the problem of approximate joint triangularization of a set of noisy jointly diagonalizable real matrices. Approximate joint triangularizers are commonly used in the estimation of the joint eigenstructure of a set of matrices, with applications in signal processing, linear algebra, and tensor decomposition.…

2016-07-02abs ↗pdf ↗

We employ the language of Cartan's geometry to present a model for studying vector spaces of Killing two-tensors defined in pseudo-Riemannian spaces of constant curvature under the action of the corresponding isometry group. We also discuss geometric properties of joint invariants of Killing two-tensors defined in the …

2006-12-19abs ↗pdf ↗

This work proposes a new method to estimate joint probability from pairwise marginals, reducing sample complexity.

problem Direct nonparametric estimation of high-dimensional joint probability is infeasible due to the curse of dimensionality.
method Developed a coupled nonnegative matrix factorization (CNMF) framework using only pairwise marginals.
result The method provably recovers the joint probability mass function up to bounded error in finite iterations under reasonable conditions.

The paper emphasizes the importance of joint predictions over marginal predictions for decision-making.

problem The need for accurate joint predictions in decision-making problems.
method The paper analyzes combinatorial decision problems, sequential predictions, and multi-armed bandits, introducing an approximate Thompson sampling algorithm and new regret bounds.
result Accurate joint predictions are essential for good performance in decision-making problems.

We analyze a Lagrangian for spacetime connections in Loop Quantum Gravity.

problem Classical field theory in Loop Quantum Gravity with spacetime connections.
method Complete variational analysis using vector-valued differential forms.
result Equations for θθ are equivalent to vacuum Einstein Field Equations; equations for AA and κκ give the same constraint.

Novel approach for estimating joint probability densities using tensor decompositions and dictionaries.

problem Estimating joint probability densities of mixed discrete and continuous variables.
method Low-rank tensor decomposition combined with dictionary learning.
result Better classification and lower error rates compared to existing methods.

Analyzing a comprehensive news dataset, we document that joint news coverage triggers attention contagion, causing temporarily inflated valuations for affected stocks. Tracing SEC EDGAR visits from unique IPs, we provide direct evidence of attention spillovers between stocks. Stocks with greater joint news coverage exh…

2017-03-08abs ↗pdf ↗

Researchers derived formulas for joint moments of elliptical distributions.

problem Calculating joint moments of elliptical distributions.
method Used Stein's lemma and two different methods to derive expressions.
result New formulae for expectations of product of normally distributed random variables and simplified expressions for other distributions.

Better signal detection in undersampled data using joint and cross covariances.

problem Detecting shared signals in high-dimensional data with limited samples.
method Analysis of three covariance matrices: individual, cross, and joint.
result Joint and cross covariance matrices detect signals earlier than individual covariances.