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A generalized fractional derivative (GFD) definition is proposed in this work. For a differentiable function that can be expanded by Taylor series, we show that D^Elafa*D^Beta f(t)=D^(Elafa+Beta)f(t). GFD is applied for some functions in…

Classical Analysis and ODEs · Mathematics 2021-12-08 M. Abu-Shady , M. K. A. Kaabar

We consider the problem of Partial Quantifier Elimination (PQE). Given formula exists(X)[F(X,Y) & G(X,Y)], where F, G are in conjunctive normal form, the PQE problem is to find a formula F*(Y) such that F* & exists(X)[G] is logically…

Logic in Computer Science · Computer Science 2017-04-04 Eugene Goldberg , Panagiotis Manolios

The e-BH procedure is an e-value-based multiple testing procedure that provably controls the false discovery rate (FDR) under any dependence structure between the e-values. Despite this appealing theoretical FDR control guarantee, the e-BH…

Methodology · Statistics 2024-04-29 Junu Lee , Zhimei Ren

Reinforcement learning methods typically use Deep Neural Networks to approximate the value functions and policies underlying a Markov Decision Process. Unfortunately, DNN-based RL suffers from a lack of explainability of the resulting…

Systems and Control · Electrical Eng. & Systems 2022-05-19 Shambhuraj Sawant , Sebastien Gros

This paper is concerned with test of the conditional independence. We first establish an equivalence between the conditional independence and the mutual independence. Based on the equivalence, we propose an index to measure the conditional…

Methodology · Statistics 2021-05-18 Zhanrui Cai , Runze Li , Yaowu Zhang

Rerandomization utilizes modern computing ability to improve covariate balance while adhering to the randomization principle originally advocated by RA Fisher. Affinely invariant rerandomization has the ``Equal Percent Variance Reducing''…

Methodology · Statistics 2025-04-03 Zhen Zhong , Donald B. Rubin

We develop a new class of model-free deep reinforcement learning algorithms for data-driven, learning-based control. Our Generalized Policy Improvement algorithms combine the policy improvement guarantees of on-policy methods with the…

Machine Learning · Computer Science 2024-10-15 James Queeney , Ioannis Ch. Paschalidis , Christos G. Cassandras

Reinforcement learning can interact with the environment and is suitable for applications in decision control systems. Therefore, we used the reinforcement learning method to establish a foreign exchange transaction, avoiding the…

Machine Learning · Computer Science 2020-06-05 Yun-Cheng Tsai , Chun-Chieh Wang

Model-free reinforcement learning (RL) algorithms, such as Q-learning, directly parameterize and update value functions or policies without explicitly modeling the environment. They are typically simpler, more flexible to use, and thus more…

Machine Learning · Computer Science 2018-07-11 Chi Jin , Zeyuan Allen-Zhu , Sebastien Bubeck , Michael I. Jordan

Although information extraction and coreference resolution appear together in many applications, most current systems perform them as ndependent steps. This paper describes an approach to integrated inference for extraction and coreference…

Machine Learning · Computer Science 2012-07-19 Ben Wellner , Andrew McCallum , Fuchun Peng , Michael Hay

Rule-based models are essential for high-stakes decision-making due to their transparency and interpretability, but their discrete nature creates challenges for optimization and scalability. In this work, we present the Fuzzy Rule-based…

Machine Learning · Computer Science 2025-09-25 Javier Fumanal-Idocin , Raquel Fernandez-Peralta , Javier Andreu-Perez

In this paper, we revisit the notion of partial copula, originally introduced to test conditional independence, highlighting its capability to represent the dependence between two random variables after removing their dependence with a…

Methodology · Statistics 2026-05-26 Vinícius Litvinoff Justus , Felipe Fontana Vieira

Conditional Equi-concentration of Types on I-projections (ICET) and Extended Gibbs Conditioning Principle (EGCP) provide an extension of Conditioned Weak Law of Large Numbers and of Gibbs Conditioning Principle to the case of non-unique…

Mathematical Physics · Physics 2009-11-10 Marian Grendar

We introduce a multi-faceted automated red teaming framework in which the goal is to generate multi-modal adversarial conversations that would break a target model and introduce various expansions that would result in more effective and…

Computation and Language · Computer Science 2026-03-12 Ninareh Mehrabi , Vitor Albiero , Maya Pavlova , Joanna Bitton

Reinforcement learning (RL) promises to expand the capabilities of language models, but it is unclear if current RL techniques promote the discovery of novel behaviors, or simply sharpen those already present in the base model. In this…

Machine Learning · Computer Science 2025-10-14 Jens Tuyls , Dylan J. Foster , Akshay Krishnamurthy , Jordan T. Ash

Causal inference studies whether the presence of a variable influences an observed outcome. As measured by quantities such as the "average treatment effect," this paradigm is employed across numerous biological fields, from vaccine and drug…

After a few decades of development, computational argumentation has become one of the active realms in AI. This paper considers extension-based concrete and abstract semantics of argumentation. For concrete ones, based on Grossi and…

Artificial Intelligence · Computer Science 2021-05-21 Lixing Tan , Zhaohui Zhu , Jinjin Zhang

When the data used for reinforcement learning (RL) are collected by multiple agents in a distributed manner, federated versions of RL algorithms allow collaborative learning without the need for agents to share their local data. In this…

Machine Learning · Computer Science 2023-12-14 Jiin Woo , Gauri Joshi , Yuejie Chi

Perturbation expansions appear to be divergent series in many physically interesting situations, including in quantum field theories like quantum electrodynamics (QED) and quantum chromodynamics (QCD), where the perturbative coefficients…

High Energy Physics - Phenomenology · Physics 2018-01-26 Irinel Caprini , Jan Fischer , Gauhar Abbas , B. Ananthanarayan

Starting from a linear fractional representation of a linear system affected by constant parametric uncertainties, we demonstrate how to enhance standard robust analysis tests by taking available (noisy) input-output data of the uncertain…

Optimization and Control · Mathematics 2023-03-27 Tobias Holicki , Carsten W. Scherer