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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.

168,695 papers · 148 categories

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48 results for point selection

PINNACLE optimizes point selection for PINNs, improving accuracy.

problem Challenges in selecting points for training Physics-Informed Neural Networks (PINNs).
method Introduces PINNACLE, an algorithm that jointly optimizes collocation and experimental points selection, adjusting point proportions dynamically.
result PINNACLE outperforms existing methods in forward, inverse, and transfer learning problems.

A homological selection theorem for C-spaces, as well as, a finite-dimensional homological selection theorem is established. We apply the finite-dimensional homological selection theorem to obtain fixed-point theorems for usco homologically UV^n set-valued maps.

2016-05-11abs ↗pdf ↗

New method selects optimal subdata for efficient parameter estimation.

problem Selecting optimal subdata from large datasets for efficient parameter estimation.
method Developed a novel algorithm based on optimal approximate design theory to select subdata that approaches the optimal solution.
result Subdata selected through the new methodology is highly efficient and outperforms existing methods.

This work tackles online memory selection in continual learning using information theory.

problem Online selection of a representative replay memory from data streams.
method Information-theoretic criteria (surprise, learnability) and Bayesian model for efficient computation.
result InfoRS improves robustness against data imbalance compared to reservoir sampling.

Kernel methods on discrete domains have shown great promise for many challenging data types, for instance, biological sequence data and molecular structure data. Scalable kernel methods like Support Vector Machines may offer good predictive performances but do not intrinsically provide uncertainty estimates. In contras…

2018-10-24abs ↗pdf ↗

Algorithm selects variables and bandwidths for geographically weighted regression.

problem Estimating variable subsets and bandwidths for geographically weighted regression.
method Mathematical programming-based approach integrating variable selection and bandwidth estimation.
result Proposed algorithm provides stable spatially varying patterns with competitive explanatory power.

A method to select validation data from a dataset using statistical criteria.

problem Selecting a validation basis from a full dataset for machine learning model validation.
method Adopting a 'design of experiments' point of view and using statistical criteria, particularly Maximum Mean Discrepancy criteria.
result The 'support points' concept is particularly relevant for selecting validation data.

Study solves optimal portfolio selection using HJB equation.

problem Optimal portfolio selection problem.
method Maximal monotone operator method, Banach fixed-point theorem, Fourier transform, monotone operators technique.
result Existence and uniqueness of solution to HJB equation.

Novel optimization method detects change points in Gaussian data.

problem Detecting change points in univariate Gaussian data sequences.
method Continuous optimization for best subset selection (COMBSS) applied to a reformulated statistical inverse problem.
result Adaptation and evaluation of COMBSS for offline normal mean multiple change-point detection.

The paper examines how to protect LASSO-based feature selection from adversarial attacks.

problem Adversarial attacks on LASSO-based feature selection.
method Formulated as a bi-level optimization problem, reformulated LASSO with linear inequality constraints, solved using interior-point method, and modified using projected gradient descent.
result Demonstrated the effectiveness of the proposed method in protecting LASSO-based feature selection from adversarial attacks.

ABM automates feature engineering and variable selection for loss-based models.

problem Improving model performance through better feature engineering and variable selection.
method ABM uses group and fused lasso regularization to automatically select cutting points and variables.
result ABM integrates feature engineering, variable selection, and model training.

New MCMC algorithm reduces subset selection passes to 2 for optimal kk-dimensional subspace approximation.

problem Subset selection for kk-dimensional subspace approximation with εε-approximation.
method MCMC sampling algorithm reducing passes to 2 for p=2p=2 case, poly(k/ε) size subset.
result Subset selection of nearly optimal size in 2 passes, (1+ε)(1+ε) approximation.

In this article, we advocate the ensemble approach for variable selection. We point out that the stochastic mechanism used to generate the variable-selection ensemble (VSE) must be picked with care. We construct a VSE using a stochastic stepwise algorithm, and compare its performance with numerous state-of-the-art algo…

2010-03-30abs ↗pdf ↗

Novel unsupervised feature selection method using multi-step Markov transition probability.

problem Neglected relationships between non-adjacent data points in feature selection.
method MMFS (Multi-step Markov transition probability for Feature Selection) approach, employing positive and negative viewpoints.
result MMFS effectively maintains data structure in unsupervised feature selection.

New method selects recent similar periods for better electricity price forecasting.

problem Improving accuracy in forecasting electricity prices.
method Change-point detection (NOT method) to select calibration periods; estimating autoregressive models only for selected data.
result Significant improvement in forecasting accuracy compared to existing methods.

Data selection methods, such as active learning and core-set selection, are useful tools for machine learning on large datasets. However, they can be prohibitively expensive to apply in deep learning because they depend on feature representations that need to be learned. In this work, we show that we can greatly improv…

2019-06-26abs ↗pdf ↗

The paper introduces a method to probabilistically select inducing points in sparse Gaussian processes.

problem The challenge is selecting the optimal number of inducing points in sparse Gaussian processes.
method A point process prior is applied to the inducing points, and the posterior is approximated using stochastic variational inference.
result The model learns which and how many inducing points to use, leading to fewer inducing points being preferred as they become less informative.

PS-BAX uses posterior sampling to select evaluation points for efficient Bayesian algorithm execution.

problem Efficiently selecting evaluation points for expensive functions with limited evaluations.
method Posterior sampling to guide sequential selection of evaluation points.
result PS-BAX is faster, simpler, and more scalable than existing methods.

Selecting diverse and important items, called landmarks, from a large set is a problem of interest in machine learning. As a specific example, in order to deal with large training sets, kernel methods often rely on low rank matrix Nyström approximations based on the selection or sampling of landmarks. In this context, …

2019-05-29abs ↗pdf ↗

Proposes a quantum-inspired algorithm for selecting representative data subsets.

problem Selecting the most representative subset of data from a larger dataset.
method Uses a Quadratic Unconstrained Binary Optimization (QUBO) problem approach.
result Demonstrates the effectiveness of the selector algorithm in finance applications.

Paper introduces WWAggr for ensemble CPD, improving accuracy and decision threshold selection.

problem Challenges in detecting abrupt distribution shifts in high-dimensional data streams.
method Introduces WWAggr, a novel task-specific ensemble aggregation method based on Wasserstein distance.
result Demonstrates WWAggr outperforms standard aggregation techniques and decision threshold selection.

Integration over non-negative integrands is a central problem in machine learning (e.g. for model averaging, (hyper-)parameter marginalisation, and computing posterior predictive distributions). Bayesian Quadrature is a probabilistic numerical integration technique that performs promisingly when compared to traditional…

2018-12-04abs ↗pdf ↗

Detecting the emergence of abrupt property changes in time series is a challenging problem. Kernel two-sample test has been studied for this task which makes fewer assumptions on the distributions than traditional parametric approaches. However, selecting kernels is non-trivial in practice. Although kernel selection fo…

2019-01-18abs ↗pdf ↗

New approach to adaptively select bandwidths in nonparametric regression.

problem Adaptive bandwidth selection in nonparametric regression.
method Inspired by 2\ell_2-norms of interval projections, introduces a new bandwidth selection procedure.
result Obtains non-asymptotic risk bounds for local polynomial regression methods that adapt to local Hölder exponent.