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Math & Economics

Mathematics, statistics, and economic research.

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SubQuad: Near-Quadratic-Free Structure Inference with Distribution-Balanced Objectives in Adaptive Receptor framework
Math & EconomicsAlgorithms & TheoryMathematicsIn Focus

SubQuad: Near-Quadratic-Free Structure Inference with Distribution-Balanced Objectives in Adaptive Receptor framework

A new algorithm can efficiently analyze immune system data to identify rare but important immune cell types, helping doctors understand immune responses and diseases.

preprint
Conv-FinRe: A Conversational and Longitudinal Benchmark for Utility-Grounded Financial Recommendation
Math & EconomicsAlgorithms & TheoryEconomics

Conv-FinRe: A Conversational and Longitudinal Benchmark for Utility-Grounded Financial Recommendation

Researchers developed a benchmark to evaluate AI systems that give financial advice, focusing on long-term utility rather than just imitating user behavior, which can be short-sighted in volatile markets.

preprint
Math & EconomicsMathematicsAlgorithms & Theory

Rex: A Family of Reversible Exponential (Stochastic) Runge-Kutta Solvers

Researchers developed new math models that can better simulate complex systems like weather and economies, which could lead to more accurate forecasts and predictions to help people plan for the future.

preprint
Early-Warning Signals of Grokking via Loss-Landscape Geometry
Math & EconomicsAlgorithms & TheoryMathematics

Early-Warning Signals of Grokking via Loss-Landscape Geometry

Early signals in machine learning models may warn of a sudden transition from memorization to generalization, giving developers insights into model performance.

preprint
TIFO: Time-Invariant Frequency Operator for Stationarity-Aware Representation Learning in Time Series
Math & EconomicsAlgorithms & TheoryMathematics

TIFO: Time-Invariant Frequency Operator for Stationarity-Aware Representation Learning in Time Series

A new technique called TIFO helps make time series forecasting more accurate by accounting for changes in the underlying data patterns over time. This could improve predictions in fields like finance, weather, and healthcare where data varies unpredictably.

preprint
Dataless Weight Disentanglement in Task Arithmetic via Kronecker-Factored Approximate Curvature
Math & EconomicsAlgorithms & TheoryMathematics

Dataless Weight Disentanglement in Task Arithmetic via Kronecker-Factored Approximate Curvature

Researchers developed a technique to adapt AI models to new tasks while preventing performance declines, a key step towards more flexible and capable AI systems.

preprint
AutoNumerics: An Autonomous, PDE-Agnostic Multi-Agent Pipeline for Scientific Computing
Math & EconomicsAlgorithms & TheoryMathematics

AutoNumerics: An Autonomous, PDE-Agnostic Multi-Agent Pipeline for Scientific Computing

A new AI system can solve complex mathematical models with less manual work, making advanced simulations more accessible to scientists and engineers.

preprint
Math & EconomicsAlgorithms & TheoryMathematics

An order-oriented approach to scoring hesitant fuzzy elements

Researchers developed a new framework to score and compare uncertain data more precisely, which could lead to better decision-making in areas like risk assessment and AI.

preprint
Low-Dimensional and Transversely Curved Optimization Dynamics in Grokking
Math & EconomicsAlgorithms & TheoryMathematics

Low-Dimensional and Transversely Curved Optimization Dynamics in Grokking

The study found that the process of "grokking" - learning to generalize beyond memorization - involves complex geometric dynamics in the way AI models optimize. This suggests that grokking may have deeper mathematical underpinnings than previously understood.

preprint
In-Context Learning in Linear vs. Quadratic Attention Models: An Empirical Study on Regression Tasks
Math & EconomicsAlgorithms & TheoryGenerative AI

In-Context Learning in Linear vs. Quadratic Attention Models: An Empirical Study on Regression Tasks

A new study found that transformer models with linear attention perform better at in-context learning for regression tasks compared to quadratic attention models.

preprint
Learning with Boolean threshold functions
Math & EconomicsAlgorithms & TheoryMathematics

Learning with Boolean threshold functions

Researchers developed a method to train neural networks on data with Boolean (true/false) values, resulting in simpler models with weights of only +1 or -1. This could lead to more efficient AI algorithms for real-world applications.

preprint
Math & EconomicsGenerative AIMathematics

Epistemology of Generative AI: The Geometry of Knowing

Generative AI models are pushing the boundaries of how we define and create knowledge, raising new questions about the nature of understanding and its implications for society.

preprint
DeepVision-103K: A Visually Diverse, Broad-Coverage, and Verifiable Mathematical Dataset for Multimodal Reasoning
Math & EconomicsComputer VisionAlgorithms & Theory

DeepVision-103K: A Visually Diverse, Broad-Coverage, and Verifiable Mathematical Dataset for Multimodal Reasoning

Researchers created a large, verified math dataset to help AI systems better understand visual mathematical reasoning. This could lead to AI assistants that can provide more useful support for math education and problem-solving.

preprint
Position: Why a Dynamical Systems Perspective is Needed to Advance Time Series Modeling
Math & EconomicsAlgorithms & TheoryMathematics

Position: Why a Dynamical Systems Perspective is Needed to Advance Time Series Modeling

Advances in time series modeling by adopting dynamical systems theory could help improve forecasting and decision-making in areas like weather, finance, and medicine.

preprint
When to Trust the Cheap Check: Weak and Strong Verification for Reasoning
Math & EconomicsAlgorithms & TheoryMathematics

When to Trust the Cheap Check: Weak and Strong Verification for Reasoning

Large language models can do better reasoning by using both cheap internal checks and more thorough external verification to ensure their outputs are reliable.

preprint
M2F: Automated Formalization of Mathematical Literature at Scale
Math & EconomicsMathematicsAlgorithms & Theory

M2F: Automated Formalization of Mathematical Literature at Scale

Researchers developed an automated system to digitally formalize mathematical papers and textbooks, enabling wider mechanical verification of mathematical proofs. This could allow more rigorous checking of published math work.

preprint
Oversmoothing, Oversquashing, Heterophily, Long-Range, and more: Demystifying Common Beliefs in Graph Machine Learning
Math & EconomicsAlgorithms & TheoryGenerative AI

Oversmoothing, Oversquashing, Heterophily, Long-Range, and more: Demystifying Common Beliefs in Graph Machine Learning

Researchers demystified common beliefs in graph machine learning, like oversmoothing and long-range connections, which could lead to more robust and interpretable AI models for real-world applications.

preprint
Improved Upper Bounds for Slicing the Hypercube
Math & EconomicsAlgorithms & TheoryMathematics

Improved Upper Bounds for Slicing the Hypercube

Researchers developed a more efficient way to slice the n-dimensional hypercube, which has implications for optimizing algorithms and solving complex mathematical problems more quickly.

preprint
Beyond Message Passing: A Symbolic Alternative for Expressive and Interpretable Graph Learning
Math & EconomicsAlgorithms & TheoryMathematics

Beyond Message Passing: A Symbolic Alternative for Expressive and Interpretable Graph Learning

Researchers developed a new graph learning approach that aims to be more transparent and interpretable than existing black-box methods, which could improve trust in important applications like drug discovery.

preprint
Deep Reinforcement Learning for Optimal Portfolio Allocation: A Comparative Study with Mean-Variance Optimization
Math & EconomicsReinforcement LearningAlgorithms & Theory

Deep Reinforcement Learning for Optimal Portfolio Allocation: A Comparative Study with Mean-Variance Optimization

Researchers compared two ways of allocating investments in a portfolio - a new AI-driven method and a traditional statistical approach. The AI method may provide more optimal portfolio returns, which could help individual investors and fund managers improve their investment strat...

preprint
SubQuad: Near-Quadratic-Free Structure Inference with Distribution-Balanced Objectives in Adaptive Receptor framework
Math & EconomicsAlgorithms & TheoryMathematicsIn Focus

SubQuad: Near-Quadratic-Free Structure Inference with Distribution-Balanced Objectives in Adaptive Receptor framework

A new algorithm can efficiently analyze immune system data to identify rare but important immune cell types, helping doctors understand immune responses and diseases.

preprint
Conv-FinRe: A Conversational and Longitudinal Benchmark for Utility-Grounded Financial Recommendation
Math & EconomicsAlgorithms & TheoryEconomics

Conv-FinRe: A Conversational and Longitudinal Benchmark for Utility-Grounded Financial Recommendation

Researchers developed a benchmark to evaluate AI systems that give financial advice, focusing on long-term utility rather than just imitating user behavior, which can be short-sighted in volatile markets.

preprint
Math & EconomicsMathematicsAlgorithms & Theory

Rex: A Family of Reversible Exponential (Stochastic) Runge-Kutta Solvers

Researchers developed new math models that can better simulate complex systems like weather and economies, which could lead to more accurate forecasts and predictions to help people plan for the future.

preprint
Early-Warning Signals of Grokking via Loss-Landscape Geometry
Math & EconomicsAlgorithms & TheoryMathematics

Early-Warning Signals of Grokking via Loss-Landscape Geometry

Early signals in machine learning models may warn of a sudden transition from memorization to generalization, giving developers insights into model performance.

preprint
TIFO: Time-Invariant Frequency Operator for Stationarity-Aware Representation Learning in Time Series
Math & EconomicsAlgorithms & TheoryMathematics

TIFO: Time-Invariant Frequency Operator for Stationarity-Aware Representation Learning in Time Series

A new technique called TIFO helps make time series forecasting more accurate by accounting for changes in the underlying data patterns over time. This could improve predictions in fields like finance, weather, and healthcare where data varies unpredictably.

preprint
Dataless Weight Disentanglement in Task Arithmetic via Kronecker-Factored Approximate Curvature
Math & EconomicsAlgorithms & TheoryMathematics

Dataless Weight Disentanglement in Task Arithmetic via Kronecker-Factored Approximate Curvature

Researchers developed a technique to adapt AI models to new tasks while preventing performance declines, a key step towards more flexible and capable AI systems.

preprint
AutoNumerics: An Autonomous, PDE-Agnostic Multi-Agent Pipeline for Scientific Computing
Math & EconomicsAlgorithms & TheoryMathematics

AutoNumerics: An Autonomous, PDE-Agnostic Multi-Agent Pipeline for Scientific Computing

A new AI system can solve complex mathematical models with less manual work, making advanced simulations more accessible to scientists and engineers.

preprint
Math & EconomicsAlgorithms & TheoryMathematics

An order-oriented approach to scoring hesitant fuzzy elements

Researchers developed a new framework to score and compare uncertain data more precisely, which could lead to better decision-making in areas like risk assessment and AI.

preprint
Low-Dimensional and Transversely Curved Optimization Dynamics in Grokking
Math & EconomicsAlgorithms & TheoryMathematics

Low-Dimensional and Transversely Curved Optimization Dynamics in Grokking

The study found that the process of "grokking" - learning to generalize beyond memorization - involves complex geometric dynamics in the way AI models optimize. This suggests that grokking may have deeper mathematical underpinnings than previously understood.

preprint
In-Context Learning in Linear vs. Quadratic Attention Models: An Empirical Study on Regression Tasks
Math & EconomicsAlgorithms & TheoryGenerative AI

In-Context Learning in Linear vs. Quadratic Attention Models: An Empirical Study on Regression Tasks

A new study found that transformer models with linear attention perform better at in-context learning for regression tasks compared to quadratic attention models.

preprint
Learning with Boolean threshold functions
Math & EconomicsAlgorithms & TheoryMathematics

Learning with Boolean threshold functions

Researchers developed a method to train neural networks on data with Boolean (true/false) values, resulting in simpler models with weights of only +1 or -1. This could lead to more efficient AI algorithms for real-world applications.

preprint
Math & EconomicsGenerative AIMathematics

Epistemology of Generative AI: The Geometry of Knowing

Generative AI models are pushing the boundaries of how we define and create knowledge, raising new questions about the nature of understanding and its implications for society.

preprint
DeepVision-103K: A Visually Diverse, Broad-Coverage, and Verifiable Mathematical Dataset for Multimodal Reasoning
Math & EconomicsComputer VisionAlgorithms & Theory

DeepVision-103K: A Visually Diverse, Broad-Coverage, and Verifiable Mathematical Dataset for Multimodal Reasoning

Researchers created a large, verified math dataset to help AI systems better understand visual mathematical reasoning. This could lead to AI assistants that can provide more useful support for math education and problem-solving.

preprint
Position: Why a Dynamical Systems Perspective is Needed to Advance Time Series Modeling
Math & EconomicsAlgorithms & TheoryMathematics

Position: Why a Dynamical Systems Perspective is Needed to Advance Time Series Modeling

Advances in time series modeling by adopting dynamical systems theory could help improve forecasting and decision-making in areas like weather, finance, and medicine.

preprint
When to Trust the Cheap Check: Weak and Strong Verification for Reasoning
Math & EconomicsAlgorithms & TheoryMathematics

When to Trust the Cheap Check: Weak and Strong Verification for Reasoning

Large language models can do better reasoning by using both cheap internal checks and more thorough external verification to ensure their outputs are reliable.

preprint
M2F: Automated Formalization of Mathematical Literature at Scale
Math & EconomicsMathematicsAlgorithms & Theory

M2F: Automated Formalization of Mathematical Literature at Scale

Researchers developed an automated system to digitally formalize mathematical papers and textbooks, enabling wider mechanical verification of mathematical proofs. This could allow more rigorous checking of published math work.

preprint
Oversmoothing, Oversquashing, Heterophily, Long-Range, and more: Demystifying Common Beliefs in Graph Machine Learning
Math & EconomicsAlgorithms & TheoryGenerative AI

Oversmoothing, Oversquashing, Heterophily, Long-Range, and more: Demystifying Common Beliefs in Graph Machine Learning

Researchers demystified common beliefs in graph machine learning, like oversmoothing and long-range connections, which could lead to more robust and interpretable AI models for real-world applications.

preprint
Improved Upper Bounds for Slicing the Hypercube
Math & EconomicsAlgorithms & TheoryMathematics

Improved Upper Bounds for Slicing the Hypercube

Researchers developed a more efficient way to slice the n-dimensional hypercube, which has implications for optimizing algorithms and solving complex mathematical problems more quickly.

preprint
Beyond Message Passing: A Symbolic Alternative for Expressive and Interpretable Graph Learning
Math & EconomicsAlgorithms & TheoryMathematics

Beyond Message Passing: A Symbolic Alternative for Expressive and Interpretable Graph Learning

Researchers developed a new graph learning approach that aims to be more transparent and interpretable than existing black-box methods, which could improve trust in important applications like drug discovery.

preprint
Deep Reinforcement Learning for Optimal Portfolio Allocation: A Comparative Study with Mean-Variance Optimization
Math & EconomicsReinforcement LearningAlgorithms & Theory

Deep Reinforcement Learning for Optimal Portfolio Allocation: A Comparative Study with Mean-Variance Optimization

Researchers compared two ways of allocating investments in a portfolio - a new AI-driven method and a traditional statistical approach. The AI method may provide more optimal portfolio returns, which could help individual investors and fund managers improve their investment strat...

preprint
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