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The Boolean satisfiability (SAT) problem is a computationally challenging decision problem central to many industrial applications. For SAT problems in cryptanalysis, circuit design, and telecommunication, solutions can often be found more…

When a language model answers a table question, users have no way to verify which cells informed which reasoning steps. We introduce RSAT, a method that trains small language models (SLMs, 1-8B) to produce step-by-step reasoning with…

Computation and Language · Computer Science 2026-05-08 Jugal Gajjar , Kamalasankari Subramaniakuppusamy

We suggest an adaptive version of a partial linearization method for composite optimization problems. The goal function is the sum of a smooth function and a non necessary smooth convex separable function, whereas the feasible set is the…

Optimization and Control · Mathematics 2016-05-26 I. V. Konnov

Large-scale supervised classification algorithms, especially those based on deep convolutional neural networks (DCNNs), require vast amounts of training data to achieve state-of-the-art performance. Decreasing this data requirement would…

Computer Vision and Pattern Recognition · Computer Science 2016-06-15 Maya Kabkab , Azadeh Alavi , Rama Chellappa

In this article we consider the Conditional Super Learner (CSL), an algorithm which selects the best model candidate from a library conditional on the covariates. The CSL expands the idea of using cross-validation to select the best model…

Machine Learning · Statistics 2021-04-30 Gilmer Valdes , Yannet Interian , Efstathios D. Gennatas Mark J. Van der Laan

We consider the constrained Linear Inverse Problem (LIP), where a certain atomic norm (like the $\ell_1 $ norm) is minimized subject to a quadratic constraint. Typically, such cost functions are non-differentiable, which makes them not…

Optimization and Control · Mathematics 2025-07-08 Mohammed Rayyan Sheriff , Floor Fenne Redel , Peyman Mohajerin Esfahani

While functional programming is an efficient way to express complex software, functional programming languages have a steep learning curve. Haskell can be challenging to learn for students who were only introduced to imperative programming.…

Programming Languages · Computer Science 2019-06-28 Boldizsár Németh , Eunjong Choi , Erina Makihara , Hajimu Iida

This paper is concerned with learning binary classifiers under adversarial label-noise. We introduce the problem of error-correction in learning where the goal is to recover the original clean data from a label-manipulated version of it,…

Machine Learning · Computer Science 2013-01-11 Srivatsan Laxman , Sushil Mittal , Ramarathnam Venkatesan

We present a reformulation of the regression and classification, which aims to validate the result of a machine learning algorithm. Our reformulation simplifies the original problem and validates the result of the machine learning algorithm…

Machine Learning · Computer Science 2021-01-19 Wolfgang Fuhl , Yao Rong , Thomas Motz , Michael Scheidt , Andreas Hartel , Andreas Koch , Enkelejda Kasneci

We discuss the issue of finding a good mathematical programming solver configuration for a particular instance of a given problem, and we propose a two-phase approach to solve it. In the first phase we learn the relationships between the…

Optimization and Control · Mathematics 2024-01-11 Gabriele Iommazzo , Claudia D'Ambrosio , Antonio Frangioni , Leo Liberti

Class imbalance and label noise are pervasive in large-scale datasets, yet much of machine learning research assumes well-labeled, balanced data, which rarely reflects real world conditions. Existing approaches typically address either…

Machine Learning · Computer Science 2025-01-16 John Brandon Graham-Knight , Jamil Fayyad , Nourhan Bayasi , Patricia Lasserre , Homayoun Najjaran

Learning compact and interpretable representations is a very natural task, which has not been solved satisfactorily even for simple binary datasets. In this paper, we review various ways of composing experts for binary data and argue that…

Computer Vision and Pattern Recognition · Computer Science 2016-11-01 Marc Goessling , Yali Amit

Compiler auto-tuning optimizes pass sequences to improve performance metrics such as Intermediate Representation (IR) instruction count. Although recent advances leveraging Large Language Models (LLMs) have shown promise in automating…

Machine Learning · Computer Science 2025-06-23 Haolin Pan , Hongyu Lin , Haoran Luo , Yang Liu , Kaichun Yao , Libo Zhang , Mingjie Xing , Yanjun Wu

This paper presents an algorithm for 3-SAT problems. First, logical formulas are transformed into elementary algebraic formulas. Second, complex trigonometric functions are assigned to the variables in the elementary algebraic formulas, and…

Data Structures and Algorithms · Computer Science 2017-08-01 Hiroshi Tsukimoto

To test incomplete search algorithms for constraint satisfaction problems such as 3-SAT, we need a source of hard, but satisfiable, benchmark instances. A simple way to do this is to choose a random truth assignment A, and then choose…

Artificial Intelligence · Computer Science 2011-11-09 Haixia Jia , Cristopher Moore , Doug Strain

This paper studies first-order algorithms for solving fully composite optimization problems over convex and compact sets. We leverage the structure of the objective by handling its differentiable and non-differentiable components…

Optimization and Control · Mathematics 2023-07-13 Maria-Luiza Vladarean , Nikita Doikov , Martin Jaggi , Nicolas Flammarion

In the contexts of automated reasoning and formal verification, important decision problems are effectively encoded into Satisfiability Modulo Theories (SMT). In the last decade efficient SMT solvers have been developed for several theories…

Artificial Intelligence · Computer Science 2012-02-08 Roberto Sebastiani , Silvia Tomasi

We present an approach to automate the process of discovering optimization methods, with a focus on deep learning architectures. We train a Recurrent Neural Network controller to generate a string in a domain specific language that…

Artificial Intelligence · Computer Science 2017-09-25 Irwan Bello , Barret Zoph , Vijay Vasudevan , Quoc V. Le

The existing machine learning algorithms for minimizing the convex function over a closed convex set suffer from slow convergence because their learning rates must be determined before running them. This paper proposes two machine learning…

Optimization and Control · Mathematics 2019-09-02 Kazuhiro Hishinuma , Hideaki Iiduka

We propose a new regression algorithm that learns from a set of input-output pairs. Our algorithm is designed for populations where the relation between the input variables and the output variable exhibits a heterogeneous behavior across…

Machine Learning · Computer Science 2026-02-17 Ş. İlker Birbil , Sinan Yıldırım , Samet Çopur , M. Hakan Akyüz