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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.

169,291 papers · 148 categories

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23 results for misunderstanding

This article examines five common misunderstandings about case-study research: (1) Theoretical knowledge is more valuable than practical knowledge; (2) One cannot generalize from a single case, therefore the single case study cannot contribute to scientific development; (3) The case study is most useful for generating …

2013-04-02abs ↗pdf ↗

The concept of an objective spatial direction in special relativity is investigated and theories assuming light-speed isotropy while accepting the existence of a privileged spatial direction are classified. A natural generalization of the proper time principle is introduced which makes it possible to devise experimenta…

2010-08-21abs ↗pdf ↗

We study recursive-cube-of-rings (RCR), a class of scalable graphs that can potentially provide rich inter-connection network topology for the emerging distributed and parallel computing infrastructure. Through rigorous proof and validating examples, we have corrected previous misunderstandings on the topological prope…

2013-05-09abs ↗pdf ↗

Policy gradient methods do not optimize the discounted objective, leading to suboptimal results.

problem Understanding the true optimization objective of policy gradient methods.
method Analyzing the update direction of policy gradient methods and proving it is not the gradient of any function.
result Policy gradient methods do not optimize the discounted objective, leading to suboptimal results.

Survey on principles and challenges of interpretable machine learning.

problem Improving machine learning models' interpretability for high-stakes decisions.
method Identification and analysis of 10 technical challenges in interpretable machine learning.
result Identification of 10 technical challenges in interpretable machine learning.

Data science redefines causal inference from observational data, classifying tasks into description, prediction, and counterfactual prediction.

problem Widespread misunderstandings about data science's role in causal inference from observational data.
method Organizing data science tasks into three classes: Description, prediction, and counterfactual prediction (including causal inference).
result The necessity of subject-matter expert knowledge for causal analyses in data science.

Paper discusses conditions for global injectivity of semi-algebraic local diffeomorphisms.

problem Conditions for global injectivity of semi-algebraic local diffeomorphisms in higher dimensions.
method Analyzes foliations and simply connectedness of leaves, relates to fibrations and Jacobian conjecture.
result Relates simply connectedness of foliation leaves to locally trivial fibrations and provides computable regularity conditions.

Traditional models of macroeconomic dynamics are fundamentally incorrect. The reason lies in a misunderstanding of peculiarities of the analysis of infinitesimal quantities. However, even those types of solutions that are envisaged by the above-mentioned models are nonrepresentative in the sense of the reflection of re…

2008-04-23abs ↗pdf ↗

Proves error bounds for state representation in RL using graph spectral features.

problem Addressing the curse of dimensionality in RL with unknown transition graphs.
method Proves upper bounds on approximation error of linear value function approximation using learned spectral features of the state-graph.
result Error bounds scale with algebraic connectivity and eigenvector estimation error.

New Shapley values reveal non-linear feature dependencies.

problem Understanding non-linear dependencies in machine learning models.
method Model-independent Shapley values using non-parametric measures of dependence.
result Model-independent Shapley values can uncover non-linear dependencies.

Interactive EMA combines multiple explainability methods to improve model understanding.

problem Isolated explanations of machine learning models lead to misunderstandings and wrong reasoning.
method Interactive EMA (IEMA) combines multiple explainability methods sequentially.
result Interactive EMA increases the performance and confidence of human decision making.

Paper clarifies unary vs binary AV approaches and evaluates their performance.

problem Improperly treating authorship verification as a binary classification task.
method Literature review and evaluation of unary and binary AV methods.
result Improper binary classification leads to flawed AV methods.