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This paper addresses the incorporation of problem decomposition skills as an important component of computational thinking (CT) in K-12 computer science (CS) education. Despite the growing integration of CS in schools, there is a lack of…

Human-Computer Interaction · Computer Science 2024-11-25 Dorit Assaf , Giorgia Adorni , Elia Lutz , Lucio Negrini , Alberto Piatti , Francesco Mondada , Francesca Mangili , Luca Maria Gambardella

Image decomposition aims to analyze an image into elementary components, which is essential for numerous downstream tasks and also by nature provides certain interpretability to the analysis. Deep learning can be powerful for such tasks,…

Computer Vision and Pattern Recognition · Computer Science 2025-01-03 Sihan Wang , Shangqi Gao , Fuping Wu , Xiahai Zhuang

Decompositional theories describe the ways in which a global physical system can be split into subsystems, facilitating the study of how different possible partitions of a same system interplay, e.g. in terms of inclusions or signalling. In…

Quantum Physics · Physics 2025-09-03 Augustin Vanrietvelde , Octave Mestoudjian , Pablo Arrighi

The reflection superposition phenomenon is complex and widely distributed in the real world, which derives various simplified linear and nonlinear formulations of the problem. In this paper, based on the investigation of the weaknesses of…

Computer Vision and Pattern Recognition · Computer Science 2023-08-22 Qiming Hu , Xiaojie Guo

Vertical decomposition is a widely used general technique for decomposing the cells of arrangements of semi-algebraic sets in ${{\mathbb R}}^d$ into constant-complexity subcells. In this paper, we settle in the affirmative a few…

Computational Geometry · Computer Science 2026-05-12 Pankaj K. Agarwal , Esther Ezra , Micha Sharir

Recent advances in deep neural networks have achieved state-of-the-art performance across vision and natural language processing tasks. In practice, however, most models are treated as monolithic black-box functions, limiting…

Logic in Computer Science · Computer Science 2026-04-10 Junyong Lee , Baek-Ryun Seong , Sang-Ki Ko , Andrew Ferraiuolo , Minwoo Kang , Hyuntae Jeon , Seungmin Lim , Jieung Kim

Composed image retrieval is a type of image retrieval task where the user provides a reference image as a starting point and specifies a text on how to shift from the starting point to the desired target image. However, most existing…

Computer Vision and Pattern Recognition · Computer Science 2023-09-19 Xingyu Yang , Daqing Liu , Heng Zhang , Yong Luo , Chaoyue Wang , Jing Zhang

The Sequential Multiple Knapsack Problem is a special case of Multiple knapsack problem in which the items sizes are divisible. A characterization of the optimal solutions of the problem and a description of the convex hull of all the…

Optimization and Control · Mathematics 2014-06-13 Paolo Detti

This note revisits the concepts of task and difficulty. The notion of cognitive task and its use for the evaluation of intelligent systems is still replete with issues. The view of tasks as MDP in the context of reinforcement learning has…

Artificial Intelligence · Computer Science 2015-03-27 Jose Hernandez-Orallo

The mathematical representation of semantics is a key issue for Natural Language Processing (NLP). A lot of research has been devoted to finding ways of representing the semantics of individual words in vector spaces. Distributional…

Computation and Language · Computer Science 2014-11-13 Karl Moritz Hermann

We address the problem of automatic decompilation, converting a program in low-level representation back to a higher-level human-readable programming language. The problem of decompilation is extremely important for security researchers.…

Programming Languages · Computer Science 2019-05-22 Omer Katz , Yuval Olshaker , Yoav Goldberg , Eran Yahav

In decentralized stochastic control (or stochastic team theory) and game theory, if there is a pre-defined order in a system in which agents act, the system is called \textit{sequential}, otherwise it is non-sequential. Much of the…

Optimization and Control · Mathematics 2025-08-05 Omar Mrani-Zentar , Ryan Simpson , Serdar Yüksel

A neural network with fixed topology can be regarded as a parametrization of functions, which decides on the correlations between functional variations when parameters are adapted. We propose an analysis, based on a differential geometry…

Adaptation and Self-Organizing Systems · Physics 2007-05-23 Marc Toussaint

The concept of sequential choice functions is introduced and studied. This concept applies to the reduction of the problem of stable matchings with sequential workers to a situation where the workers are linear.

Combinatorics · Mathematics 2024-03-26 Vladimir I. Danilov

Classification is an important task in many fields including biomedical research and machine learning. Traditionally, a classification rule is constructed based a bunch of labeled data. Recently, due to technological innovation and…

Methodology · Statistics 2014-06-19 Jing Wang , Eunsik Park , Yuan-chin Ivan Chang

In this paper, we consider sequential dynamic team decision problems with nonclassical information structures. First, we address the problem from the point of view of a ``manager" who seeks to derive the optimal strategy of the team in a…

Optimization and Control · Mathematics 2024-07-23 Andreas A. Malikopoulos

Filterless optical transport networks relies on passive optical interconnections between nodes, i.e., on splitters/couplers and amplifiers. While different studies have investigated their design, none of them offer a solution for an optimal…

Networking and Internet Architecture · Computer Science 2021-01-05 Brigitte Jaumard , Yan Wang

Compositional minimisation can be an effective technique to reduce the state space explosion problem. This technique considers a parallel composition of several processes. In its simplest form, each sequential process is replaced by an…

Logic in Computer Science · Computer Science 2020-12-14 Maurice Laveaux , Tim A. C. Willemse

The reduction of computational costs in the numerical solution of nonstationary problems is achieved through splitting schemes. In this case, solving a set of less computationally complex problems provides the transition to a new level in…

Numerical Analysis · Mathematics 2022-10-26 Petr N. Vabishchevich

A major bottleneck in search-based program synthesis is the exponentially growing search space which makes learning large programs intractable. Humans mitigate this problem by leveraging the compositional nature of the real world: In…

Artificial Intelligence · Computer Science 2024-12-25 Jonas Witt , Sebastijan Dumančić , Tias Guns , Claus-Christian Carbon
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