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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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152304456608 · Jun 202019922001200920172026
48 results for Real powers

The paper calculates asymptotic expansions for specific types of oscillatory integrals.

problem Analyzing oscillatory integrals with complex phase functions.
method Using asymptotic expansions of simpler phase functions to derive results for more complex cases.
result Explicit computation of coefficients in asymptotic expansions for certain integrals.

Neural Power Unit (NPU) learns arbitrary power functions on real numbers.

problem Neural Networks struggle with generalizing beyond seen data and arithmetic operations.
method Introduces Neural Power Unit (NPU) that operates on real numbers and learns arbitrary power functions.
result NPU outperforms competitors in accuracy and sparsity on arithmetic datasets and discovers governing equations from data.

Develops European power option pricing under correlated interest rate and asset processes.

problem Pricing European power options under correlated interest rate and asset processes.
method Martingale method and Girsannov transform.
result Derives European power option pricing formulae under two market assumptions.

The paper analyzes heat kernel asymptotics for real powers of Laplacians on manifolds.

problem Analyzing the small-time behavior of heat kernels for real powers of Laplacians.
method Analyzes asymptotics on the diagonal and away from it, proving non-triviality and non-locality of coefficients.
result Logarithmic terms appear only if the manifold dimension is odd and the power is rational with even denominator.

The notion of max-plus convex subset of Euclidean space can be naturally extended to other linear spaces. The aim of this paper is to describe the topology of hyperspaces of max-plus convex subsets of Tychonov powers Rτ\mathbb R^τ of the real line. We show that the corresponding spaces are AR's if and only if τω1τ\leω_1

2012-06-09abs ↗pdf ↗

We introduce the stochastic multiplicative point process modelling trading activity of financial markets. Such a model system exhibits power-law spectral density S(f) ~ 1/f**beta, scaled as power of frequency for various values of beta between 0.5 and 2. Furthermore, we analyze the relation between the power-law autoco…

2004-12-28abs ↗pdf ↗

The importance of the power law has been well realized in econophysics over the last decade. For instance, the distribution of the rate of stock price variation and of personal assets show the power law. While these results reveal the striking scale invariance of financial markets, the behaviour of price in real econom…

2006-11-14abs ↗pdf ↗

Study growth of systoles in arithmetic manifolds, focusing on kk-dimensional cases.

problem Growth of systoles in arithmetic nn-manifolds along congruence coverings.
method Analyzes growth of kk-dimensional systoles in arithmetic nn-manifolds, proving polylogarithmic and constant power bounds.
result Growth of systoles for k=rk = r oscillates between a power of a logarithm and a power function of the degree of the covering.

This paper considers the computational power of constant size, dynamic Bayesian networks. Although discrete dynamic Bayesian networks are no more powerful than hidden Markov models, dynamic Bayesian networks with continuous random variables and discrete children of continuous parents are capable of performing Turing-co…

2016-03-19abs ↗pdf ↗

When f : R power n to R power p, is a surjective real analytic map with isolated critical value, we prove that the (m)-regularity condition (in a sense we define) ensures that f ||f|| is a fibration on small spheres, f induces a fibration on the tubes and both fibrations are equivalent. In particular, we make the state…

2016-04-18abs ↗pdf ↗

Stochastic block models (SBMs) have been playing an important role in modeling clusters or community structures of network data. But, it is incapable of handling several complex features ubiquitously exhibited in real-world networks, one of which is the power-law degree characteristic. To this end, we propose a new var…

2019-04-05abs ↗pdf ↗

Power system studies require the topological structures of real-world power networks; however, such data is confidential due to important security concerns. Thus, power grid synthesis (PGS), i.e., creating realistic power grids that imitate actual power networks, has gained significant attention. In this letter, we cas…

2019-01-17abs ↗pdf ↗

Characterizes bi-Perron numbers with specific Galois conjugates.

problem Understanding bi-Perron numbers with real or unimodular conjugates.
method Characterization through power properties and spectral radii of transformations.
result Bi-Perron numbers with real or unimodular conjugates admit a power as stretch factors or spectral radii.

An extension of the regularized least-squares in which the estimation parameters are stretchable is introduced and studied in this paper. The solution of this ridge regression with stretchable parameters is given in primal and dual spaces and in closed-form. Essentially, the proposed solution stretches the covariance c…

2018-06-09abs ↗pdf ↗

The paper proposes a framework for modeling and analysis of the dynamics of supply, demand, and clearing prices in power system with real-time retail pricing and information asymmetry. Real-time retail pricing is characterized by passing on the real-time wholesale electricity prices to the end consumers, and is shown t…

2011-06-07abs ↗pdf ↗

C-PP-COAD detects anomalies with limited real data, reducing dependency on real calibration data.

problem Limited real calibration data for online anomaly detection.
method Context-aware prediction-powered conformal online anomaly detection (C-PP-COAD).
result Significantly reduces dependency on real calibration data without compromising FDR control.

Paper presents a deep learning framework for faster, more accurate nuclear reactor power prediction.

problem Inaccurate and inefficient modeling of nuclear reactor transients.
method Hybrid digital twin-focused multi-stage deep learning framework using feed-forward neural networks.
result Achieved remarkable accuracy (96% classification, 2.3% MAPE) with noise-enhanced simulated data.

We study simultaneous price drops of real stocks and show that for high drop thresholds they follow a power-law distribution. To reproduce these collective downturns, we propose a minimal self-organized model of cascade spreading based on a probabilistic response of the system elements to stress conditions. This model …

2010-03-16abs ↗pdf ↗

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 ↗

Power spectral density (PSD) maps providing the distribution of RF power across space and frequency are constructed using power measurements collected by a network of low-cost sensors. By introducing linear compression and quantization to a small number of bits, sensor measurements can be communicated to the fusion cen…

2016-06-07abs ↗pdf ↗

A robust model handles up to 25% of outliers in time-series data for power flow calculations.

problem Handling outliers in time-series data for accurate power flow calculations.
method Robust data-driven process model with Schweppe-type generalized maximum likelihood estimator and projection statistics for outlier weighting.
result The model can handle up to 25% of outliers in the training data set.

FedCM measures contributions in real-time for federated learning.

problem Fairly allocating contributions in federated learning systems.
method FedCM calculates impact based on current and previous rounds with attention aggregation.
result FedCM is more sensitive to data quality and quantity in real-time.

Study compares two market clearing methods for European power markets.

problem Optimizing market clearing for European power markets considering cost and social welfare.
method Introduces Cost Minimization and Social Welfare Maximization models, and four algorithms to solve the CM model.
result Cost Minimization reduces market power and decreases total procurement cost.

Signed graphs encode positive (attractive) and negative (repulsive) relations between nodes. We extend spectral clustering to signed graphs via the one-parameter family of Signed Power Mean Laplacians, defined as the matrix power mean of normalized standard and signless Laplacians of positive and negative edges. We pro…

2019-05-15abs ↗pdf ↗

Power plant is a complex and nonstationary system for which the traditional machine learning modeling approaches fall short of expectations. The ensemble-based online learning methods provide an effective way to continuously learn from the dynamic environment and autonomously update models to respond to environmental c…

2017-10-19abs ↗pdf ↗