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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.

168,657 papers · 148 categories

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4080120160 · Jun 202019922001200920172026
48 results for non-linear interactions

Develops equivariant connections for Yang-Mills equations, simplifying interactions modeling.

problem Simplifying interactions modeling in Yang-Mills equations for different bundles.
method Introduces SO+(p,q)SO^+(p,q)-equivariance to reduce Yang-Mills equations.
result Models electroweak interaction and interactions with differential and wave equations.

A new method detects interactions in machine learning models.

problem Interpreting non-linear and interaction effects in machine learning models.
method Regional effect plots with implicit interaction detection.
result The method quantifies and interprets feature effects reliably, less confounded by interactions.

New model explains market dynamics with phase transitions and non-linear interactions.

problem Understanding complex multi-asset market dynamics with phase transitions.
method Developed a Multi-Asset Non-Equilibrium Skew (MANES) model based on Langevin dynamics and McKean-Vlasov equation.
result The model accurately predicts market returns and phase transitions in both benign and distressed markets.

A semi-parametric, non-linear regression model in the presence of latent variables is applied towards learning network graph structure. These latent variables can correspond to unmodeled phenomena or unmeasured agents in a complex system of interacting entities. This formulation jointly estimates non-linearities in the…

2018-06-28abs ↗pdf ↗

With the help of transfer entropy, we analyze information flows between communities of complex networks. We show that the transfer entropy provides a coherent description of interactions between communities, including non-linear interactions. To put some flesh on the bare bones, we analyze transfer entropies between co…

2017-06-17abs ↗pdf ↗

New method adds interactions to interpretable models for large-scale data.

problem Limited model complexity and lack of interactions in interpretable models.
method Factorization method to derive scalable higher-order tensor product spline models.
result Incorporates all higher-order interactions of non-linear feature effects without computational penalties.

Detection of interactions between treatment effects and patient descriptors in clinical trials is critical for optimizing the drug development process. The increasing volume of data accumulated in clinical trials provides a unique opportunity to discover new biomarkers and further the goal of personalized medicine, but…

2017-12-21abs ↗pdf ↗

This paper extends semi-structured networks to functional data.

problem Maintaining interpretability in functional data analysis while capturing non-linearities and interactions.
method Proposes a functional SSN method that scales well and improves predictive performance.
result The functional SSN method accurately recovers underlying signals and performs favorably compared to competing methods.

Learning by integrating multiple heterogeneous data sources is a common requirement in many tasks. Collective Matrix Factorization (CMF) is a technique to learn shared latent representations from arbitrary collections of matrices. It can be used to simultaneously complete one or more matrices, for predicting the unknow…

2018-11-28abs ↗pdf ↗

Feature selection is a technique to screen out less important features. Many existing supervised feature selection algorithms use redundancy and relevancy as the main criteria to select features. However, feature interaction, potentially a key characteristic in real-world problems, has not received much attention. As a…

2012-10-06abs ↗pdf ↗

This work optimizes reservoir computing models by linking recurrence and non-linear dynamics.

problem Understanding how recurrence and non-linear dynamics in cortical networks contribute to their function.
method Transformed time-continuous, recurrent dynamics into an effective feed-forward structure of linear and non-linear temporal kernels.
result Optimal time-series classifiers can be built from random reservoir networks, demonstrating significant performance gains.

One 'problem' with the 21st century world, particularly the economic and business worlds, is the phenomenal and increasing number of interconnections between economic agents (consumers, firms, banks, markets, national economies). This implies that such agents are all interacting and consequently giving raise to enormou…

2012-08-27abs ↗pdf ↗

Study local differential privacy methods for estimating power sums of discrete distributions.

problem Estimating non-linear functionals of discrete distributions under local differential privacy constraints.
method Interactive and non-interactive mechanisms for estimating power sums, with lower bounds provided.
result Achieves faster rates of estimation under certain conditions.

Model improves mortgage credit risk prediction with spatio-temporal machine learning.

problem Improving accuracy of default probabilities and loan portfolio loss distributions in mortgage credit risk.
method Combines tree-boosting with a latent spatio-temporal Gaussian process model.
result Predictive models outperform conventional methods due to non-linear and spatio-temporal effects.

Deep Causal Graphs model complex causal relationships using neural networks.

problem Limited applicability of parametric causal models to real-life datasets with non-linear relationships.
method Deep Causal Graphs, an abstract specification for neural networks to model causal distributions.
result Demonstrates expressive power in modelling complex interactions and provides true causal counterfactuals.

LIT-LVM improves linear predictors by estimating interaction terms with latent vectors.

problem Accurately estimating coefficients for interaction terms in linear predictors.
method Structured regularization using latent vectors to represent features.
result LIT-LVM achieves superior prediction accuracy compared to other methods.

Complex problems may require sophisticated, non-linear learning methods such as kernel machines or deep neural networks to achieve state of the art prediction accuracies. However, high prediction accuracies are not the only objective to consider when solving problems using machine learning. Instead, particular scientif…

2016-11-22abs ↗pdf ↗

BART and MOTR-BART improve tree-based predictions with local linear models.

problem Non-linearity and high-order interactions in data.
method Bayesian Additive Regression Trees (BART) and Model Trees BART (MOTR-BART) using piecewise linear functions.
result MOTR-BART achieves equal or better performance with fewer trees than BART.

New algorithm tackles non-linear utility in MNL bandits with ildeO(T) ilde{O}(\sqrt{T}) regret.

problem Sequential assortment selection with intricate user-item interactions.
method Upper Confidence Bound principle for non-linear parametric utility functions, including neural networks.
result Achieves ildeO(T) ilde{O}(\sqrt{T}) regret bound for neural network-based utilities.

BaGGLS models biological interactions using Bayesian shrinkage for interpretability.

problem Interpreting complex interactions in high-dimensional biological data.
method Bayesian group global-local shrinkage prior with variational approximation.
result BaGGLS outperforms other methods in interaction detection and scalability.

Improved regret bound for multinomial logistic bandits with non-linearity.

problem Maximizing rewards in multinomial logistic bandits with non-linear feedback.
method Extended the definition of κκ_* to multinomial setting and proposed an efficient algorithm.
result Minimax-optimal regret bound of O~(RdKT/κ) \smash{\widetilde{\mathcal{O}}( R d \sqrt{ {KT}/{κ_*}} ) } , improving over existing guarantees.

Researchers can retrieve Yang-Mills-Higgs fields from Minkowski space measurements.

problem Retrieving Yang-Mills-Higgs fields from active local measurements in Minkowski space.
method Exploiting non-linear wave interactions and Lie algebra structure.
result Yang-Mills-Higgs fields can be retrieved from source-to-solution data.

Papers learn from data to make decisions without interacting, improving on previous methods.

problem Achieving optimal decision-making from offline data with non-linear function approximation.
method Pessimistic Nonlinear Least-Square Value Iteration (PNLSVI) with three innovative components.
result Achieves minimax optimal instance-dependent regret for non-linear function approximation.

LSTM improves cross-network recommendations by capturing user preference changes and irregular time intervals.

problem Offline cross-network recommender solutions fail to capture user preference changes and dynamic environments.
method Proposes a multi-layered LSTM network with attention mechanisms, higher order interactions, and time-aware gates.
result The model consistently outperforms state-of-the-art in accuracy, diversity, and novelty.

DPLS improves asset pricing by capturing non-linear risk factor structures.

problem Estimating asset pricing models with non-linear risk factor structures.
method Deep Partial Least Squares (DPLS) for dynamic and flexible factor modeling.
result DPLS models outperform linear models in asset pricing, capturing non-linear risk factor interactions.

Proposes local coordinate frames for improving model performance in complex dynamical systems.

problem Improving model performance in complex, non-linear, and time-dependent dynamical systems.
method Introduces roto-translation invariant local coordinate frames for geometric graphs.
result The approach outperforms state-of-the-art models in various complex scenarios.

Tractable model explains market dynamics using Langevin and SUSY QM.

problem Understanding non-linear market dynamics and option pricing.
method Langevin dynamics mapped to QM, using SUSY to find solutions.
result NES model provides accurate option pricing with a single volatility parameter.

Additive nonparametric regression models provide an attractive tool for variable selection in high dimensions when the relationship between the response and predictors is complex. They offer greater flexibility compared to parametric non-linear regression models and better interpretability and scalability than the non-…

2016-07-09abs ↗pdf ↗