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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 analytic learning

Extends machine learning models for analytic boundary conditions in differential equations.

problem Inclusion of data in differential equations using symbolic algorithms.
method Combines computer algebra with Gaussian processes and extends to analytic boundary conditions using Gröbner and Janet bases of Weyl algebras.
result Describes divergence-free flow in domains bounded by analytic functions.

Machine learning and statistical modeling complement each other in healthcare analytics.

problem Choosing between machine learning and statistical modeling for analytics challenges.
method Choosing based on problem, data, and desired outcomes.
result Machine learning and statistical modeling are complementary, using similar principles but different tools.

Improved neural network predicts spectral functions more accurately than traditional methods.

problem Reconstructing real-time spectral functions from imaginary-time Green's functions is ill-posed and challenging.
method Feature Learning Network (FL-net) for enhanced prediction accuracy.
result FL-net achieves at least 20% improvement over traditional methods like MEM.

Visual system compares and evaluates machine learning models for clinical data predictions.

problem Challenges in comparing and evaluating different machine learning models for medical predictions.
method Developed a visual analytics system to compare and evaluate multiple models' prediction criteria and consistency.
result Demonstrated the effectiveness of the visual analytics system in assisting clinicians and researchers.

Defines Learning Analytics' foundational structure and scope.

problem Lack of theoretical foundation in Learning Analytics.
method Proposes an axiomatic theory based on psychological learning and LA methodology.
result Clarifies the epistemological stance of Learning Analytics and its limitations.

A new method uses vector embeddings to improve analytics model performance.

problem Challenges in selecting high-quality datasets for enhanced analytics performance.
method Transform datasets into vector embeddings using NumTabData2Vec, then use similarity search for model inference.
result The proposed method accurately predicts analytics outcomes and increases speedup.

MUTLA dataset analyzes multimodal data for teaching and learning analytics.

problem Lack of a comprehensive multimodal dataset for teaching and learning analytics.
method Presented a large-scale MUTLA dataset with synchronized multimodal data from SAIL.
result Provides insights for predicting student engagement and improving adaptive learning.

Wide neural networks can learn complex functions like gravitational force law.

problem Learning complex functions like gravitational force law with neural networks.
method Extending theoretical bounds to analytic functions on the sphere using SGD and ReLU networks.
result Wide ReLU networks can learn analytic functions efficiently with proportional number of samples.

Analytic theory explains deep learning generalization and transfer learning.

problem Understanding how deep networks generalize and transfer knowledge across tasks.
method Developed an analytic theory for deep linear networks, predicting generalization and transfer.
result Deep networks learn task structure progressively, affecting generalization error.

GAMLA learns manifold structures with auto-encoding for global insights.

problem Limited global insight and lack of interpretable analytical descriptions in manifold learning.
method Two-round auto-encoding process to derive character and complementary representations.
result GAMLA provides global and analytical descriptions of smooth manifolds.

This paper explores how to interpret machine learning models in business process analytics.

problem The lack of interpretability in machine learning models used for predictive process analytics.
method Derives explanations using interpretable machine learning techniques to compare and contrast predictive models.
result Highlights scenarios where accuracy alone may not be sufficient in assessing the suitability of techniques used to encode event log data.

SAFLe solves federated learning's trade-off between non-linearity and scalability.

problem Federated Learning's high communication overhead and performance collapse on non-IID data.
method SAFLe introduces a structured head of bucketed features and sparse, grouped embeddings, mathematically equivalent to a high-dimensional linear regression.
result SAFLe achieves a new state-of-the-art in analytic FL, outperforming linear AFL and multi-round DeepAFL.

Loss Data Analytics is an interactive, online, freely available text. The idea behind the name Loss Data Analytics is to integrate classical loss data models from applied probability with modern analytic tools. In particular, we seek to recognize that big data (including social media and usage based insurance) are here…

2018-08-20abs ↗pdf ↗

An analytic process is iterative between two agents, an analyst and an analytic toolbox. Each iteration comprises three main steps: preparing a dataset, running an analytic tool, and evaluating the result, where dataset preparation and result evaluation, conducted by the analyst, are largely domain-knowledge driven. In…

2018-07-11abs ↗pdf ↗

FairVis helps discover biases in machine learning models.

problem Discovering biases in machine learning models is challenging due to multiple definitions of fairness and numerous subgroups.
method Integrates a novel subgroup discovery technique with a mixed-initiative visual analytics system.
result Demonstrates how FairVis helps discover biases in real datasets.

Paper connects RL and non-equilibrium statistical mechanics for entropy-regularized RL.

problem Obtaining analytical solutions for entropy-regularized RL.
method Mapping RL to non-equilibrium statistical mechanics, applying large deviation theory.
result Derives exact analytical results for optimal policy and dynamics in MDPs.

Hybrid method improves SABR implied volatility approximation.

problem Improving SABR implied volatility approximation.
method Combining analytical structure with machine learning, using geometric features and residual correction.
result Hybrid model improves accuracy and robustness compared to analytical and neural-network approaches.

It is commonly believed that increasing the interpretability of a machine learning model may decrease its predictive power. However, inspecting input-output relationships of those models using visual analytics, while treating them as black-box, can help to understand the reasoning behind outcomes without sacrificing pr…

2016-06-17abs ↗pdf ↗

New DAG constraints improve differentiable DAG learning.

problem Recovering DAG structures from observational data is hard due to combinatorial optimization.
method Developed analytic functions to formulate DAG constraints, closed under differentiation, summation, and multiplication.
result Analytic DAG constraints outperform previous methods in various settings.

Researchers created an accurate kinetic energy functional for materials modeling.

problem Lack of accurate analytic kinetic energy functionals for large-scale ab initio materials modeling.
method Interpretative machine learning of crystal cell-averaged kinetic energy densities guided by a hybrid Gaussian process regression - neural network (GPR-NN) method.
result Constructed an analytic kinetic energy functional that reproduces Kohn-Sham DFT energy-volume curves with sufficient accuracy.

Somed2Vec learns medical concept embeddings from SNOMED-CT, improving healthcare analytics.

problem Lack of effective vector representations for medical concepts in healthcare analytics.
method Graph-based representation learning using random walks and Poincaré embeddings on SNOMED-CT.
result Concept embeddings from SNOMED-CT significantly outperform state-of-the-art embeddings.

Machine learning guides clinicians in predictive modeling using big data.

problem Insufficient understanding of machine learning among clinicians hinders its adoption.
method Provides a series of guides on machine learning principles, resampling, model evaluation, and coding.
result Clinicians need methodological rigor and clarity to use machine learning effectively.

Deep neural networks approximate analytic functions in high dimensions with exponential rates.

problem Approximating analytic functions in high-dimensional spaces using neural networks.
method Analyzing convergence rates of ReLU and ReLU^k activations in L2(Rd,γd)L^2(\mathbb{R}^d,γ_d) for dN{}d\in\mathbb{N}\cup\{\infty\}.
result Exponential convergence rates for analytic functions in L2(Rd,γd)L^2(\mathbb{R}^d,γ_d) for dNd\in\mathbb{N}, and dimension-independent bounds for d=d=\infty.

Hybrid approach protects privacy while analyzing smart meter data.

problem Privacy concerns in AMI data analysis under CPUC regulations.
method Anonymization, differential privacy, federated learning, synthetic data, cryptography.
result Comprehensive privacy-preserving analytics framework for AMI data.

Paper presents a new method for Bayesian deep learning that scales to Atari games.

problem Training neural networks on complex environments like Atari games is challenging.
method Adapted temporal difference Q-learning to work with Bayesian inference.
result TAGI allows for analytical inference of neural network parameters, achieving performance comparable to gradient-based methods.

We begin by showing that every real analytic orbifold has a real analytic Riemannian metric. It follows that every reduced real analytic orbifold can be expressed as a quotient of a real analytic manifold by a real analytic almost free action of a compact Lie group. We then extend a well-known result of Nomizu and Ozek…

2012-11-28abs ↗pdf ↗

We construct an infinite dimensional real analytic manifold structure for the space of real analytic mappings from a compact manifold to a locally convex manifold. Here a map is real analytic if it extends to a holomorphic map on some neighbourhood of the complexification of its domain. As is well known the constructio…

2014-10-24abs ↗pdf ↗