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The problem of deciding whether CSP instances admit solutions has been deeply studied in the literature, and several structural tractability results have been derived so far. However, constraint satisfaction comes in practice as a…

Artificial Intelligence · Computer Science 2013-07-19 Gianluigi Greco , Francesco Scarcello

Despite recent advances in large language models, open-source models often struggle to consistently perform well on complex reasoning tasks. Existing ensemble methods, whether applied at the token or output levels, fail to address these…

Computation and Language · Computer Science 2024-12-23 Sungjin Park , Xiao Liu , Yeyun Gong , Edward Choi

Neural architecture search (NAS) aims to discover network architectures with desired properties such as high accuracy or low latency. Recently, differentiable NAS (DNAS) has demonstrated promising results while maintaining a search cost…

Machine Learning · Computer Science 2020-08-31 Arash Vahdat , Arun Mallya , Ming-Yu Liu , Jan Kautz

Tree ensembles are very popular machine learning models, known for their effectiveness in supervised classification and regression tasks. Their performance derives from aggregating predictions of multiple decision trees, which are renowned…

Optimization and Control · Mathematics 2025-01-14 Lorenzo Bonasera , Emilio Carrizosa

We introduce Joint Probability Trees (JPT), a novel approach that makes learning of and reasoning about joint probability distributions tractable for practical applications. JPTs support both symbolic and subsymbolic variables in a single…

Machine Learning · Computer Science 2023-02-15 Daniel Nyga , Mareike Picklum , Tom Schierenbeck , Michael Beetz

Neural networks with tree-based sentence encoders have shown better results on many downstream tasks. Most of existing tree-based encoders adopt syntactic parsing trees as the explicit structure prior. To study the effectiveness of…

Computation and Language · Computer Science 2018-08-30 Haoyue Shi , Hao Zhou , Jiaze Chen , Lei Li

We provide several algorithms for constrained optimization of a large class of convex problems, including softmax, $\ell_p$ regression, and logistic regression. Central to our approach is the notion of width reduction, a technique which has…

Optimization and Control · Mathematics 2021-07-07 Deeksha Adil , Brian Bullins , Sushant Sachdeva

Raising the order of the multipole expansion is a feasible approach for improving the accuracy of the treecode algorithm. However, a uniform order for the expansion would result in the inefficiency of the implementation, especially when the…

Numerical Analysis · Mathematics 2024-12-31 Zixuan Cui , Lei Yang

Retrieval-augmented generation (RAG) enhances large language models with external knowledge, and tree-based RAG organizes documents into hierarchical indexes to support queries at multiple granularities. However, existing Tree-RAG methods…

Machine Learning · Computer Science 2026-05-04 Ziwen Zhao , Menglin Yang

Non-autoregressive Transformer(NAT) significantly accelerates the inference of neural machine translation. However, conventional NAT models suffer from limited expression power and performance degradation compared to autoregressive (AT)…

Computation and Language · Computer Science 2023-11-15 Shangtong Gui , Chenze Shao , Zhengrui Ma , Xishan Zhang , Yunji Chen , Yang Feng

Monotone trees - trees with a function defined on their vertices that decreases the further away from a root node one travels, are a natural model for a process that weakens the further one gets from its source. Given an aggregation of…

Data Structures and Algorithms · Computer Science 2023-09-29 Lucas Magee , Yusu Wang

Neural Architecture Search (NAS) aims to automate the design of deep neural networks. However, existing NAS techniques often focus on maximising accuracy, neglecting model efficiency. This limitation restricts their use in…

Machine Learning · Computer Science 2025-01-30 Srikanth Thudumu , Hy Nguyen , Hung Du , Nhat Duong , Zafaryab Rasool , Rena Logothetis , Scott Barnett , Rajesh Vasa , Kon Mouzakis

In this paper we consider the problem of learning a regression function without assuming its functional form. This problem is referred to as symbolic regression. An expression tree is typically used to represent a solution function, which…

Optimization and Control · Mathematics 2021-02-25 Jongeun Kim , Sven Leyffer , Prasanna Balaprakash

Non-autoregressive neural machine translation (NAT) predicts the entire target sequence simultaneously and significantly accelerates inference process. However, NAT discards the dependency information in a sentence, and thus inevitably…

Computation and Language · Computer Science 2020-06-11 Qiu Ran , Yankai Lin , Peng Li , Jie Zhou

The single-track railway train timetabling problem (TTP) is an important and complex problem. This article proposes an integrated Monte Carlo Tree Search (MCTS) computing framework that combines heuristic methods, unsupervised learning…

Machine Learning · Computer Science 2023-11-03 Feiyu Yang

On the one hand, artificial neural networks (ANNs) are commonly labelled as black-boxes, lacking interpretability; an issue that hinders human understanding of ANNs' behaviors. A need exists to generate a meaningful sequential logic of the…

Machine Learning · Computer Science 2021-11-19 Duy T. Nguyen , Kathryn E. Kasmarik , Hussein A. Abbass

Recombining trinomial trees are a workhorse for modeling discrete-event systems in option pricing, logistics, and feedback control. Because each node stores a state-dependent quantity, a depth-$D$ tree naively yields $\mathcal{O}(3^{D})$…

Data Structures and Algorithms · Computer Science 2025-10-06 Ethan Torres , Ramavarapu Sreenivas , Richard Sowers

With the recent advancements in deep learning, neural solvers have gained promising results in solving math word problems. However, these SOTA solvers only generate binary expression trees that contain basic arithmetic operators and do not…

Artificial Intelligence · Computer Science 2021-06-03 Shih-hung Tsai , Chao-Chun Liang , Hsin-Min Wang , Keh-Yih Su

Several recent publications report advances in training optimal decision trees (ODT) using mixed-integer programs (MIP), due to algorithmic advances in integer programming and a growing interest in addressing the inherent suboptimality of…

Machine Learning · Computer Science 2020-11-09 Haoran Zhu , Pavankumar Murali , Dzung T. Phan , Lam M. Nguyen , Jayant R. Kalagnanam

Non-autoregressive neural machine translation (NAT) models are proposed to accelerate the inference process while maintaining relatively high performance. However, existing NAT models are difficult to achieve the desired efficiency-quality…

Computation and Language · Computer Science 2023-03-15 Pei Guo , Yisheng Xiao , Juntao Li , Min Zhang