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.
Paper analyzes trade-offs in top-k classification accuracies and proposes a new loss function.
The paper develops a method to optimize individualized treatment rules for cost-effectiveness.
Causal discovery is a fundamental problem in statistics and has wide applications in different fields. Transfer Entropy (TE) is a important notion defined for measuring causality, which is essentially conditional Mutual Information (MI). Copula Entropy (CE) is a theory on measurement of statistical independence and is …
Estimates calibration error under label shift without labels.
New spectral estimates for minimal surfaces with boundary conditions.
Custom loss functions improve accuracy of wildfire rate of spread forecasts.
CE improves climate uncertainty quantification using GCM ensembles and observational data.
Study evaluates counterfactual explanations using Pearl's method.
RO-TD learns sparse value functions efficiently.
Study spectral flow on a warped cylinder with special boundary conditions.
We present the Tamed Cross Entropy (TCE) loss function, a robust derivative of the standard Cross Entropy (CE) loss used in deep learning for classification tasks. However, unlike other robust losses, the TCE loss is designed to exhibit the same training properties than the CE loss in noiseless scenarios. Therefore, th…
Paper generalizes Bloch-Ros principle to various surface classes.
The paper provides a uniform convergence bound for smooth calibration error and its relationship with functional gradient.
A novel deep learning method for real-time EEG signal compression.
Stochastic momentum methods trade compute efficiency for serial runtime.
We review the properties of transversality of distributions with respect to submersions. This allows us to construct a convolution product for a large class of distributions on Lie groupoids. We get a unital involutive algebra $\cE\_{r,s}'(G,Ω^{1/2})$ enlarging the convolution algebra associate…
New insights into CE dynamics reveal how Hadamard initialization simplifies softmax.
We introduce SIM-CE, an advanced, user-friendly modeling and simulation environment in Simulink for performing multi-scale behavioral analysis of the nervous system of Caenorhabditis elegans (C. elegans). SIM-CE contains an implementation of the mathematical models of C. elegans's neurons and synapses, in Simulink, whi…
Variable selection is of significant importance for classification and regression tasks in machine learning and statistical applications where both predictability and explainability are needed. In this paper, a Copula Entropy (CE) based method for variable selection which use CE based ranks to select variables is propo…
Inspired by an argument of Ros [15] -- we use the López-Ros deformation to give another proof of the fact -- due to Meeks and Wolf [13] -- that the only smooth, connected, singly-periodic minimal surfaces in $\Real^3$ with the area growth of two planes are the singly-periodic Scherk surfaces.
Without any specific way for imbalance data classification, artificial intelligence algorithm cannot recognize data from minority classes easily. In general, modifying the existing algorithm by assuming that the training data is imbalanced, is the only way to handle imbalance data. However, for a normal data handling, …
Study finite-energy metrics over complex manifold degenerations.
Many applications of Bayesian data analysis involve sensitive information, motivating methods which ensure that privacy is protected. We introduce a general privacy-preserving framework for Variational Bayes (VB), a widely used optimization-based Bayesian inference method. Our framework respects differential privacy, t…
Generative Cross-Entropy improves classification with fewer labels.
Meeks, Pérez and Ros conjectured that a closed Riemannian -manifold which does not admit any closed embedded minimal surface whose two-sided covering is stable, must be diffeomorphic to a quotient of the -sphere. We give an counterexample to this conjecture. Also, we show that if we consider immersed surfaces ins…
The Bergman space and conformally flat 2-disk operads are linked to vertex operator algebras.
Ensembles of neural networks improve training dynamics and performance.
Robust optimization improves portfolio selection by accounting for deep uncertainties.
Our previous exploration of the $\cE_g^{PD}$-geometry has shown that the field is promising. Namely, the $\cE_g^{PD}$-approach is amenable to development of novel trends in relativistic and metric differential geometry and can particularly be effective in context of the Finslerian or Minkowskian Geometries. The main po…
Sector specific multifactor CES elasticity of substitution and the corresponding productivity growths are jointly measured by regressing the growths of factor-wise cost shares against the growths of factor prices. We use linked input-output tables for Japan and the Republic of Korea as the data source for factor price …
Proves quantitative Alexandrov theorem for capillary surfaces.
New method improves model calibration by adjusting confidence based on prediction correctness.
In this article we study the limiting behavior of the Kähler Ricci flow on complete non-compact Kähler manifolds. We provide sufficient conditions under which a complete non-compact gradient Kähler-Ricci soliton is biholomorphic to $\ce^n$. We also discuss the uniformization conjecture by Yau \cite{Y} for complete non-…
We propose an extremely simple mathematical model that is shown to be able to account for more than 99 per cent of all the variation in economic and demographic macrodynamics of the world for almost two millennia of its history. This appears to suggest a novel approach to the formation of the general theory of social m…
In this paper, we consider the task of designing a Kalman Filter (KF) for an unknown and partially observed autonomous linear time invariant system driven by process and sensor noise. To do so, we propose studying the following two step process: first, using system identification tools rooted in subspace methods, we ob…
GLOBE-CE offers efficient global counterfactual explanations.
Proposes CE-BASS for robust Kalman filtering with innovative and additive outliers.
We solve a continuous-time game-theoretic problem for Kihlstrom-Mirman preferences.
Training accurate deep neural networks (DNNs) in the presence of noisy labels is an important and challenging task. Though a number of approaches have been proposed for learning with noisy labels, many open issues remain. In this paper, we show that DNN learning with Cross Entropy (CE) exhibits overfitting to noisy lab…
A new EM algorithm improves inference from large datasets.
ReQuestNet simplifies 5G channel estimation with a unified model.
The aim of this paper is to give a new link between integrable systems and minimal surface theory. The dressing operation uses the associated family of flat connections of a harmonic map to construct new harmonic maps. Since a minimal surface in 3-space is a Willmore surface, its conformal Gauss map is harmonic and a d…
Unified approach to totally ramified values in various surface theories.
We propose a conditional non-autoregressive neural sequence model based on iterative refinement. The proposed model is designed based on the principles of latent variable models and denoising autoencoders, and is generally applicable to any sequence generation task. We extensively evaluate the proposed model on machine…
En nous basant sur les résultats d'Arthur annoncés dans \cite[§30]{Arthur} nous démontrons les conjectures énoncées dans \cite{IMRN,BC,SMF} dans le cas des groupes orthogonaux à l'exclusion des groupes de type . En ce qui concerne ces derniers, nous annonçons la démonstration -- encore en préparation - que …
Novel CE-method variants reduce local minima convergence with fewer function evaluations.
Proposes a new loss function for learning with noisy labels.
This note (originally from 2015) provides a proof of a 1985 conjecture of Montiel and Ros concerning the conformal volume of tori. This updated version adds a proof of the claim made in Remark 5 about the value of the conformal volume of tori in the cases not covered by the conjecture of Montiel and Ros. Originally, I …