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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.

168,982 papers · 148 categories

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48 results for Power Method

We accelerate the power method for strong low-rank approximation using fast sketching.

problem Efficiency bottleneck in power method for large target ranks.
method Developed an algorithmic and theoretical framework for accelerating the power method using fast sketching.
result Simple and provably efficient methods for singular value decomposition, low-rank factorization, and Nyström approximation.

Survey of RL methods for optimizing power grid topologies.

problem Optimizing power grid operation with adaptive control strategies.
method Reinforcement Learning (RL) for dynamic and uncertain environments.
result Comprehensive evaluation of RL-based methods for power grid topology optimization.

EGPR method forecasts power grid load and generation with high accuracy.

problem Accurate week-long forecasting of load demand and power generation for efficient power grid operation.
method Gaussian process regression with ensembles of preceding weeks' data.
result EGPR method outperforms traditional methods in forecasting weekly load and generation.

Looped transformers with LN converge to power method for principal component prediction.

problem Understanding how transformers learn algorithmic procedures.
method Study of principal component prediction with looped linear transformers and layer normalization.
result Gradient descent trains looped transformers with LN to implement the power method for principal component prediction.

This research simplifies computation of feature attribution methods under certain conditions.

problem Computational complexity of feature attribution methods, especially power indices.
method Identifying conditions for polynomial computation and introducing new indices.
result Conditions for efficient computation of feature attribution methods are identified.

Optimizes power systems with energy storage under uncertainty using scenario-based method.

problem Optimizing power systems with energy storage, intermittent renewable generation, and uncontrollable loads under uncertainty.
method Developed a novel solution method based on scenario optimization and strategic sampling to solve the chance-constrained optimal power system operation problem.
result The strategic sampling method significantly improves computational efficiency and data-driven convex approximation of power flow.

A method uses ITD and XGBoost for precise power transformer fault diagnosis.

problem Fault diagnosis of power transformers using DGA data.
method Ranking DGA parameters by skewness, extracting ITD features, and using an XGBoost classifier.
result The method achieves over 95% accuracy in classification.

Paper proposes dense average network for improved power load forecasting.

problem Improving power load forecasting accuracy to save millions for the power industry.
method Introduces dense average connection and constructs dense average network for power load forecasting.
result Proposed model outperforms existing methods on public datasets.

We present a unified method, based on convex optimization, for managing the power produced and consumed by a network of devices over time. We start with the simple setting of optimizing power flows in a static network, and then proceed to the case of optimizing dynamic power flows, i.e., power flows that change with ti…

2019-03-14abs ↗pdf ↗

Paper extends prediction-powered inference using conformal prediction for robust and valid imputation.

problem Safe use of black-box ML models for imputing missing data with strong guarantees.
method Connecting prediction-powered inference with conformal prediction for valid and additional guarantees.
result First general prediction-powered procedure for e-values operating off-line.

A new gradient descent method speeds up in flat regions and slows in steep directions.

problem Improving the speed and stability of gradient descent algorithms.
method Introducing a 'power gradient' where each gradient component is replaced by its HH-th power, with 0<H<10<H<1.
result The new gradient descent methods achieve significantly better performances, especially for Nesterov accelerated gradient and AMSGrad.

PhI-GPR improves power grid state estimation and forecasting.

problem Accurate state estimation and forecasting in power grids with sparse measurements.
method Physics-informed Gaussian process regression (PhI-GPR) for stochastic differential equations.
result PhI-GPR provides more accurate forecasts and estimates of power grid states compared to ARIMA.

Researchers discover all affinely homogeneous models for surfaces in 4D space.

problem Identifying all affinely homogeneous models for surfaces in 4D space.
method Improved power series method of equivalence, capturing invariants at the origin, creating branches, and infinitesimalizing calculations.
result Find several inequivalent terminal branches yielding each to some nonempty moduli space of homogeneous models.

PoWER-BERT speeds up BERT inference by eliminating redundant word-vectors.

problem Improving BERT inference speed without sacrificing accuracy.
method Eliminating redundant word-vectors using a self-attention-based significance measure and learning the number of vectors to eliminate.
result Up to 4.5x reduction in inference time with <1% loss in accuracy on GLUE benchmark.

A deep learning method speeds up probabilistic optimal power flow calculations.

problem Efficiently solving large-scale nonlinear and nonconvex optimization problems in power systems.
method Developed a SDAE-based OPF using stacked denoising auto encoders to extract system correlations and calculate OPF solutions.
result The trained SDAE network can quickly compute OPF solutions for random system states without optimization.

New method clusters signed graphs using matrix power means.

problem Clustering signed graphs with positive and negative relations.
method Signed Power Mean Laplacian, defined as matrix power mean of normalized standard and signless Laplacians.
result Signed power mean Laplacian captures ground truth clusters under reasonable settings.

Study non-integer power-law potentials for Schrödinger operators using Lie-Rinehart algebras.

problem Analyzing Schrödinger operators with non-integer power-law potentials.
method Using Lie-Rinehart algebras and microlocal analysis.
result Microlocal analysis can be applied to Schrödinger operators with non-integer power-law potentials.

New algorithm extracts device profiles for short-term power predictions in commercial buildings.

problem Short-term power prediction in commercial buildings with high accuracy.
method Unsupervised extraction of device profiles from aggregate power measurements, disaggregation using particle swarm optimization, and state changes forecast by artificial neural networks.
result Developed approach outperforms existing methods with high accuracy.

A deep Q-learning method improves downlink power allocation in multi-cell networks.

problem Optimal resource allocation in dense, heterogeneous wireless networks is computationally challenging.
method Proposes a centralized DRL-based downlink power allocation scheme using deep Q-learning.
result The proposed DRL-based power allocation scheme outperforms conventional methods in multi-cell scenarios.

Graph conformal prediction predicts future power outages with high confidence.

problem Accurately predicting future power outages to enable rapid recovery.
method Developed a graph conformal prediction method for quarter-hourly outage data.
result Graph conformal prediction method delivers accurate prediction regions for future outage numbers.

In this paper, we resolve many of the key algorithmic questions regarding robustness, memory efficiency, and differential privacy of tensor decomposition. We propose simple variants of the tensor power method which enjoy these strong properties. We present the first guarantees for online tensor power method which has a…

2016-06-20abs ↗pdf ↗

Paper refutes conjecture on tensor power iteration convergence in overcomplete models.

problem Understanding convergence of tensor power iteration in overcomplete random tensors.
method Analysis of tensor power iteration dynamics from random initialization.
result Polynomially many steps are necessary for convergence, refutes logarithmic conjecture.

The paper proposes a method to identify power system oscillation modes using blind source separation.

problem Accurately identifying oscillation modes in power systems with renewable energy sources.
method A high-order blind source identification (HOBI) algorithm based on copula statistic combined with Hilbert transform and iteration procedure.
result The method can identify all oscillation modes and model order from a single channel of observation signals, outperforming state-of-the-art methods.

This paper considers the sparse eigenvalue problem, which is to extract dominant (largest) sparse eigenvectors with at most kk non-zero components. We propose a simple yet effective solution called truncated power method that can approximately solve the underlying nonconvex optimization problem. A strong sparse recove…

2011-12-12abs ↗pdf ↗

Deep learning models, especially CNNs, can predict radio frequency power faster than traditional methods.

problem Accurate radio frequency power prediction for optimal transmitter location.
method Empirical analysis of deep learning models including CNNs and UNET variations for power prediction.
result Deep learning models, particularly CNNs, are effective and generalize well to new regions for power prediction.

Develops a more powerful selective inference method for stepwise feature selection.

problem Loss of power in existing conditional SI methods due to over-conditioning.
method Uses homotopy continuation approach to overcome over-conditioning.
result Shows improved power and efficiency in selective inference for feature selection.

NN-Stacking improves predictive power of regression models by adjusting stacking coefficients with features.

problem Low predictive power of linear stacking methods.
method NN-Stacking uses neural networks to estimate adaptive stacking coefficients.
result NN-Stacking leads to better predictive power, especially in large datasets.

A deep neural network (DNN) based power control method is proposed, which aims at solving the non-convex optimization problem of maximizing the sum rate of a multi-user interference channel. Towards this end, we first present PCNet, which is a multi-layer fully connected neural network that is specifically designed for…

2018-07-26abs ↗pdf ↗

Adaptive Bayesian model for covariate-dependent power spectra analysis.

problem Estimating complex relationships and interactions between covariates and power spectra.
method Bayesian sum of trees model with local power spectrum estimation and reversible-jump MCMC for tree modifications.
result The method can accurately recover both smooth and abrupt changes in power spectra across multiple covariates.

Study uses machine learning to optimize power generation in electrical grids.

problem Optimizing power generation in electrical grids while respecting physical and engineering constraints.
method Two formulations of ACOPF as machine learning problems: direct prediction and constraint prediction.
result Validated machine learning approaches on two benchmark grids.