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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.

169,291 papers · 148 categories

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145290434579 · Jun 202019922001200920182026
48 results for standard techniques

We accelerate Bayesian inference for neutrino physics experiments by 100-60x.

problem Complex posterior geometries in multi-dimensional parameter spaces.
method GPU acceleration, automatic differentiation, neural-network-guided reparameterization.
result Significant performance improvements in Bayesian inference for direct detection experiments.

Analytical, free of time consuming Monte Carlo simulations, framework for credit portfolio systematic risk metrics calculations is presented. Techniques are described that allow calculation of portfolio-level systematic risk measures (standard deviation, VaR and Expected Shortfall) as well as allocation of risk down to…

2010-07-30abs ↗pdf ↗

Analytical, free of time consuming Monte Carlo simulations, framework for credit portfolio systematic risk metrics calculations is presented. Techniques are described that allow calculation of portfolio-level systematic risk measures (standard deviation, VaR and Expected Shortfall) as well as allocation of risk down to…

2009-11-02abs ↗pdf ↗

We derive generalization error bounds for traditional time-series forecasting models. Our results hold for many standard forecasting tools including autoregressive models, moving average models, and, more generally, linear state-space models. These non-asymptotic bounds need only weak assumptions on the data-generating…

2012-12-03abs ↗pdf ↗

Paper benchmarks causal discovery techniques based on accuracy of inference.

problem Comparing causal discovery algorithms for accuracy of inference tasks.
method Categorized algorithms into two categories and compared them on three perspectives: structural accuracy, standard predictive accuracy, and counterfactual inference.
result Structural accuracy does not correlate with inferencing accuracy, and algorithms perform poorly with many variables.

Calegari's 4-spheres from fibered knots are proven standard.

problem Proving Calegari's 4-spheres from fibered knots are standard.
method 5-dimensional handlebody techniques and mapping class groups of 3-dimensional handlebodies.
result All Calegari's homotopy 4-spheres from fibered knots are diffeomorphic to the standard 4-sphere.

New normalization technique balances positive and negative weights for faster convergence.

problem Balancing positive and negative weights for faster convergence.
method Transformation of layer weights instead of outputs, balancing positive and negative contributions.
result Balanced normalization leads to faster convergence on standard benchmarks.

Examples are given of prime Legendrian knots in the standard contact 3-space that have arbitrarily many distinct Chekanov polynomials, refuting a conjecture of Lenny Ng. These are constructed using a new `Legendrian tangle replacement' technique. This technique is then used to show that the phenomenon of multiple Cheka…

2004-11-09abs ↗pdf ↗

Proves rotational symmetry for Serrin-type problems in doubly connected domains.

problem Proving symmetry in Serrin-type problems for doubly connected domains.
method Employing the technique from arXiv:2109.11255 and comparing with the classical moving plane method.
result Rotational symmetry results for Serrin-type problems in doubly connected domains.

The Resilient Propagation (Rprop) algorithm has been very popular for backpropagation training of multilayer feed-forward neural networks in various applications. The standard Rprop however encounters difficulties in the context of deep neural networks as typically happens with gradient-based learning algorithms. In th…

2015-09-15abs ↗pdf ↗

We consider moment matching techniques for estimation in Latent Dirichlet Allocation (LDA). By drawing explicit links between LDA and discrete versions of independent component analysis (ICA), we first derive a new set of cumulant-based tensors, with an improved sample complexity. Moreover, we reuse standard ICA techni…

2015-07-07abs ↗pdf ↗

Researchers use DL and XAI to evaluate climate downscaling models.

problem Evaluating complex DL models for climate downscaling.
method Intercompare DL models, expand standard evaluation methods with XAI.
result XAI techniques provide new evaluation dimensions and model insights.

We describe two techniques that significantly improve the running time of several standard machine-learning algorithms when data is sparse. The first technique is an algorithm that effeciently extracts one-way and two-way counts--either real or expected-- from discrete data. Extracting such counts is a fundamental step…

2013-01-23abs ↗pdf ↗

Researchers developed volume comparison theorems in Finsler spacetimes.

problem Volume comparison in Finsler spacetimes with specific curvature conditions.
method Riccati equation techniques applied to (1+n)(1+n)-dimensional Lorentz--Finsler manifolds.
result Established volume comparison theorems for standard sets in Lorentzian volumes (SCLVs).

We consider evaluation methods for payoffs with an inherent financial risk as encountered for instance for portfolios held by pension funds and insurance companies. Pricing such payoffs in a way consistent to market prices typically involves combining actuarial techniques with methods from mathematical finance. We prop…

2011-09-08abs ↗pdf ↗

This work aims at recovering signals that are sparse on graphs. Compressed sensing offers techniques for signal recovery from a few linear measurements and graph Fourier analysis provides a signal representation on graph. In this paper, we leverage these two frameworks to introduce a new Lasso recovery algorithm on gra…

2015-06-19abs ↗pdf ↗

Tabu Dropout improves performance of standard Dropout by generating more diverse neural network architectures.

problem Preventing co-adaptation of neurons in deep neural networks.
method Integrates a diversification strategy into dropout, marking units from the last forward propagation for re-selection in the current forward propagation.
result Improves performance of standard Dropout on MNIST and Fashion-MNIST datasets.

A simple graphical model for correlated defaults is proposed, with explicit formulas for the loss distribution. Algebraic geometry techniques are employed to show that this model is well posed for default dependence: it represents any given marginal distribution for single firms and pairwise correlation matrix. These t…

2008-09-08abs ↗pdf ↗

Re-initializing neural networks improves generalization but not as much as other techniques.

problem Understanding when and how re-initialization improves neural network performance.
method Empirical comparison of re-initialization with standard training and various regularization techniques.
result Re-initialization is beneficial for generalization but not as much as other techniques, especially when combined with careful tuning of hyperparameters.

The paper addresses statistical issues in high-dimensional financial data.

problem Standard statistical techniques fail in high-dimensional data.
method Exploring modifications and new statistical methods for high-dimensional covariance matrix, regression, PCA, multiple testing, and classification.
result Development of fast algorithms for practical application.

Adaptive importance sampling techniques are widely known for the Gaussian setting of Brownian driven diffusions. In this work, we want to extend them to jump processes. Our approach relies on a change of the jump intensity combined with the standard exponential tilting for the Brownian motion. The free parameters of ou…

2013-07-08abs ↗pdf ↗

We study the problem of robust time series analysis under the standard auto-regressive (AR) time series model in the presence of arbitrary outliers. We devise an efficient hard thresholding based algorithm which can obtain a consistent estimate of the optimal AR model despite a large fraction of the time series points …

2016-07-01abs ↗pdf ↗

We present a new proof of the bi-Lipschitz model theorem, which occupies the main part of the Ending Lamination Conjecture proved by Minsky and Brock-Canary-Minsky. Our proof is done by using techniques of standard hyperbolic geometry as much as possible.

2008-01-28abs ↗pdf ↗

We describe a novel binary classification technique called Banded SVM (B-SVM). In the standard C-SVM formulation of Cortes et al. (1995), the decision rule is encouraged to lie in the interval [1, \infty]. The new B-SVM objective function contains a penalty term that encourages the decision rule to lie in a user specif…

2011-07-12abs ↗pdf ↗