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Abstract interpretation is a general framework for expressing static program analyses. It reduces the problem of extracting properties of a program to computing an approximation of the least fixpoint of a system of equations. The de facto…

Programming Languages · Computer Science 2019-12-06 Sung Kook Kim , Arnaud J. Venet , Aditya V. Thakur

Weighted First-Order Model Counting (WFOMC) computes the weighted sum of the models of a first-order logic theory on a given finite domain. First-Order Logic theories that admit polynomial-time WFOMC w.r.t domain cardinality are called…

Logic in Computer Science · Computer Science 2022-04-13 Sagar Malhotra , Luciano Serafini

In this paper we present a generalization in the context of multilinear Muckenhoupt classes of the endpoint extrapolation theorem on restricted weights due to Carro, Grafakos and Soria. Moreover, our main result is obtained on limited…

Classical Analysis and ODEs · Mathematics 2024-06-25 Kangwei Li , Teresa Luque , Sheldy Ombrosi

Load forecasting is a fundamental task in smart grid. Many techniques have been applied to developing load forecasting models. Due to the challenges such as the Curse of Dimensionality, overfitting, and limited computing resources,…

Machine Learning · Computer Science 2025-03-14 Pengyang Song , Han Feng , Shreyashi Shukla , Jue Wang , Tao Hong

We derive and investigate two DPO variants that explicitly model the possibility of declaring a tie in pair-wise comparisons. We replace the Bradley-Terry model in DPO with two well-known modeling extensions, by Rao and Kupper and by…

Computation and Language · Computer Science 2025-11-05 Jinghong Chen , Guangyu Yang , Weizhe Lin , Jingbiao Mei , Bill Byrne

Large language models (LLMs) require careful alignment to balance competing objectives - factuality, safety, conciseness, proactivity, and diversity. Existing studies focus on individual techniques or specific dimensions, lacking a holistic…

Machine Learning · Computer Science 2025-09-17 Denis Janiak , Julia Moska , Dawid Motyka , Karolina Seweryn , Paweł Walkowiak , Bartosz Żuk , Arkadiusz Janz

We analyze union-find using potential functions motivated by continuous algorithms, and give alternate proofs of the $O(\log\log{n})$, $O(\log^{*}n)$, $O(\log^{**}n)$, and $O(\alpha(n))$ amortized cost upper bounds. The proof of the…

Data Structures and Algorithms · Computer Science 2023-08-21 Zhiyi Huang , Chris Lambert , Zipei Nie , Richard Peng

In this manuscript we discuss weighted reduced order methods for stochastic partial differential equations. Random inputs (such as forcing terms, equation coefficients, boundary conditions) are considered as parameters of the equations. We…

Numerical Analysis · Mathematics 2023-08-08 Luca Venturi , Davide Torlo , Francesco Ballarin , Gianluigi Rozza

Tabular prediction traditionally relies on gradient-boosted decision trees and deep learning models, which excel in specific tasks but lack interpretability and transferability. Reasoning large language models (LLMs) promise cross-task…

Machine Learning · Computer Science 2026-03-11 Pengxiang Cai , Zihao Gao , Wanchen Lian , Jintai Chen

We investigate lifted inference on ordered domains with predecessor relations, where the elements of the domain respect a total (cyclic) order, and every element has a distinct (clockwise) predecessor. Previous work has explored this…

Artificial Intelligence · Computer Science 2025-07-28 Kuncheng Zou , Jiahao Mai , Yonggang Zhang , Yuyi Wang , Ondřej Kuželka , Yuanhong Wang , Yi Chang

With the increasing penetration of electronic loads and distributed energy resources (DERs), conventional load models cannot capture their dynamics. Therefore, a new comprehensive composite load model is developed by Western Electricity…

Systems and Control · Electrical Eng. & Systems 2020-05-18 Zixiao Ma , Zhaoyu Wang , Dongbo Zhao , Bai Cui

Quadratic unconstrained binary optimization (QUBO) provides problem formulations for various computational problems that can be solved with dedicated QUBO solvers, which can be based on classical or quantum computation. A common approach to…

In this paper, we first briefly survey automated termination proof methods for higher-order calculi. We then concentrate on the higher-order recursive path ordering, for which we provide an improved definition, the Computability Path…

Logic in Computer Science · Computer Science 2008-12-18 Frédéric Blanqui , Jean-Pierre Jouannaud , Albert Rubio

Neural solvers have demonstrated remarkable success in combinatorial optimization, often surpassing traditional heuristics in speed, solution quality, and generalization. However, their efficacy deteriorates significantly when confronted…

Neural and Evolutionary Computing · Computer Science 2025-11-14 Zhanhong Fang , Debing Wang , Jinbiao Chen , Jiahai Wang , Zizhen Zhang

This work tackles a class of optimization problems in which fixing some well-chosen combinations of the variables makes the problem substantially easier to solve. We consider that the variables space may be partitioned into subsets that fix…

Optimization and Control · Mathematics 2026-03-13 Charles Audet , Pierre-Yves Bouchet , Loïc Bourdin

Solving combinatorial optimization problems of the kind that can be codified by quadratic unconstrained binary optimization (QUBO) is a promising application of quantum computation. Some problems of this class suitable for practical…

Reinforcement Learning (RL) algorithms sample multiple n>1 solution attempts for each problem and reward them independently. This optimizes for pass@1 performance and prioritizes the strength of isolated samples at the expense of the…

Machine Learning · Computer Science 2025-12-16 Christian Walder , Deep Karkhanis

Reinforcement learning has significantly enhanced the reasoning capabilities of Large Language Models (LLMs) in complex problem-solving tasks. Recently, the introduction of DeepSeek R1 has inspired a surge of interest in leveraging…

Machine Learning · Computer Science 2025-08-07 Jinghang Han , Jiawei Chen , Hang Shao , Hao Ma , Mingcheng Li , Xintian Shen , Lihao Zheng , Wei Chen , Tao Wei , Lihua Zhang

Compression artifacts reduction (CAR) is a challenging problem in the field of remote sensing. Most recent deep learning based methods have demonstrated superior performance over the previous hand-crafted methods. In this paper, we propose…

Computer Vision and Pattern Recognition · Computer Science 2018-04-03 Baochang Zhang , Jiaxin Gu , Chen Chen , Jungong Han , Xiangbo Su , Xianbin Cao , Jianzhuang Liu

Proximal policy optimization (PPO) is one of the most successful deep reinforcement-learning methods, achieving state-of-the-art performance across a wide range of challenging tasks. However, its optimization behavior is still far from…

Machine Learning · Computer Science 2020-01-15 Yuhui Wang , Hao He , Chao Wen , Xiaoyang Tan