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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.

169,051 papers · 148 categories

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48 results for HOMO values

Enhances solar cell efficiency prediction using deep neural networks.

problem Predicting HOMO values for organic solar cells from limited experimental data.
method Ensemble deep neural network (SINet) using SMILES and InChI molecular representations.
result Significant performance improvement from transfer learning and dual molecular representations.

Model captures decision-making under bounded rationality with prior beliefs and market feedback.

problem Bounded rationality in decision-making with limited processing abilities.
method Maximum entropy principle applied to Quantal Response Statistical Equilibrium framework.
result Prior beliefs influence decision-making, altering the outcome of market feedback.

The paper explores the topology of compact Einstein manifolds, proving conditions for them to be homological spheres or spherical space forms.

problem Understanding the relationship between the curvature of compact Einstein manifolds and their topological properties.
method Proves conditions for compact Einstein manifolds to be homological spheres or spherical space forms based on sectional curvatures.
result Compact Einstein manifolds with positive Einstein constant are homological spheres under certain curvature conditions.

Proposes a framework for quantifying aleatoric uncertainty in image restoration.

problem Quantifying aleatoric uncertainty in image restoration problems.
method Divides conditional probability modeling into deterministic and stochastic levels, enabling efficient sampling and regularization.
result Shows significant potential in giving state-of-the-art point estimates and associated uncertainty information.

In this paper, we explore the similarity between normal homogeneity and δδ-homogeneity in Finsler geometry. They are both non-negatively curved Finsler spaces. We show that any connected δδ-homogeneous Finsler space is GG-δδ-homo-geneous, for some suitably chosen connected quasi-compact GG. So δδ-homogeneous Fins…

2016-11-03abs ↗pdf ↗

Study shows trust and trustworthiness emerge through reinforcement learning.

problem Trust and trustworthiness are universal but not predicted by traditional economic models.
method Used Q-learning algorithm to simulate trust and trustworthiness dynamics in a trust game.
result High levels of trust and trustworthiness emerge when individuals consider both past and future experiences.

New set-valued star-shaped risk measures introduced for better risk assessment.

problem Improving risk assessment in financial contexts.
method Developed new set-valued star-shaped risk measures and proved their representation theorems.
result Set-valued star-shaped risk measures can be represented as unions of set-valued convex risk measures.

The paper introduces Absolute Shapley Value to handle negative contributions in machine learning model training.

problem Negative marginal contributions in machine learning model training.
method Investigates three philosophies: Original Shapley Value, Zero Shapley Value, and Absolute Shapley Value.
result Absolute Shapley Value significantly outperforms other definitions in evaluating data importance.

Study on 2-valued dynamics on complex plane, showing some dynamics can't be group actions.

problem Whether 2-valued dynamics can be defined by the action of a 2-valued group.
method Construction of examples of dynamics that are or are not group actions.
result Some 2-valued dynamics on complex plane cannot be defined by the action of a 2-valued group.

Introduces joint Shapley values to measure feature importance in models.

problem Measuring the importance of feature sets in machine learning models.
method Extends Shapley's axioms to measure a set of features' average contribution to a model's prediction.
result Joint Shapley values provide unique insights and are more consistent with local intuitions.

Proposes a low-cost method to set hyperparameters using optimized default values.

problem Challenges of setting hyperparameters by trial and error, leading to subjective and inefficient results.
method Generates optimized default values using a small set of values that outperform existing defaults and tuned values.
result New default values deliver better predictive performance and are competitive with tuned values, making them easier to use.

The paper introduces the Banzhaf value for robust data valuation in machine learning, addressing stochastic model performance.

problem Inconsistent data value rankings due to model performance noise.
method Introduces the Banzhaf value and Maximum Sample Reuse (MSR) principle for efficient estimation.
result The Banzhaf value outperforms other semivalues in robust data valuation.

A complex-valued convolutional network (convnet) implements the repeated application of the following composition of three operations, recursively applying the composition to an input vector of nonnegative real numbers: (1) convolution with complex-valued vectors followed by (2) taking the absolute value of every entry…

2015-03-11abs ↗pdf ↗

We approximate derivatives of functions on manifolds by embedding them and applying vector-valued operators.

problem Derivatives of manifold-valued functions are harder to approximate than vector-valued functions.
method Embed the manifold into a higher space, approximate the derivative of the vector-valued function, and project back.
result We provide error bounds for the approximation of manifold-valued function derivatives.

Method calculates Shapley values for PCA reconstruction errors to explain anomaly detection.

problem Explaining PCA-based anomaly detection results.
method Utilizes probabilistic PCA view to compute Shapley values of reconstruction errors.
result Shapley values are more advantageous than raw errors for explaining anomalies.

The paper defines and analyzes set-valued stochastic integrals for Lévy processes.

problem Defining and analyzing set-valued stochastic integrals for Lévy processes.
method Extending classical definitions to convoluted integrals with square-integrable kernels, and proving properties of set-valued convoluted stochastic integrals.
result Set-valued convoluted stochastic integrals can be explosive and take extended vector values.

Shapley value improves model interpretation but not causal inference.

problem Improving model interpretability without losing predictive power.
method Analyzed Shapley value in Bayesian networks, linking it to conditional independence.
result Eliminating high Shapley value variables does not harm predictive performance, but low Shapley value variables can.

This paper proposes a new approach to RL by focusing on the value-improvement path.

problem Value prediction problems in RL are sequence-dependent and require holistic approach.
method Characterize and approximate the value-improvement path holistically.
result A representation that spans the value-improvement path provides accurate value approximations for future policy improvements.

UA-LQE improves value function learning by selectively erasing uncertain entries in Q-matrix.

problem Improving value function learning in complex reinforcement learning tasks.
method Uncertainty-aware low-rank Q-matrix estimation (UA-LQE) algorithm.
result UA-LQE selectively erases uncertain entries in Q-matrix to improve value function approximation.

Geometric approach improves reinforcement learning representation.

problem Improving reinforcement learning representation learning.
method Formal evidence through geometric properties of value functions.
result Optimizing value functions reduces to predicting adversarial value functions (AVFs).

Paper introduces a new method for classifying interval-valued time series.

problem Classification of interval-valued time series.
method Extends point-valued time series imaging methods to interval-valued scenarios using DKD_K-distance and employs deep learning for classification.
result Proposed method achieves superior classification performance compared to existing methods.

Study optimality conditions for interval-valued optimization problems on Riemannian manifolds.

problem Optimizing interval-valued functions on Riemannian manifolds under a total order relation.
method Generalized Hukuhara directional differentiability to derive KKT-type optimality conditions.
result Derives optimality conditions for interval-valued optimization problems on Riemannian manifolds.

KOVA optimizes value functions using Kalman filtering, improving parameter uncertainty.

problem Improving parameter uncertainty in value function approximation.
method KOVA uses a trust region approach with a Bayesian perspective and Kalman filtering.
result KOVA provides more reliable parameter estimates and value function approximations.

New asymptotic e-values improve inference by eliminating data-dependent scaling inefficiency.

problem Data-dependent scaling inefficiency in existing asymptotic e-values.
method Drawing on Bentkus's near-optimal concentration inequalities, introduce Bentkus-type asymptotic e-values.
result Bentkus-type asymptotic e-values consistently deliver sharper inference than existing alternatives.

DVA framework attributes value of predictive models to features, configurations, and interactions.

problem Lack of explanation for how predictive models influence operational decisions.
method Shapley-based cooperative game theory applied to predict-then-optimize systems.
result DVA can guide targeted interventions to align model beliefs with operational performance.

This article introduces a framework to estimate the value of evidence-based decision making.

problem Lack of empirical tools to assess the value of evidence-based decision making and optimize statistical precision.
method Empirical framework using parametric and nonparametric empirical Bayes methods.
result The value of statistical evidence depends on how organizations translate it into policy decisions.

New versions of the set-valued average value at risk for multivariate risks are introduced by generalizing the well-known certainty equivalent representation to the set-valued case. The first "regulator" version is independent from any market model whereas the second version, called the market extension, takes trading …

2012-02-25abs ↗pdf ↗