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As an alternative to the paradigmatic fragmentation problem of a single object crushed into a great number of pieces, we survey a large collection of identical bodies, each one randomly split into two fragments only. While some key features…

Statistical Mechanics · Physics 2015-05-30 Fernando Parisio , Laercio Dias

As renewable energy integration, sector coupling, and spatiotemporal detail increase, energy system optimization models grow in size and complexity, often pushing solvers to their performance limits. This systematic review explores…

The aim of this work is to show how we can decompose a module (if decomposable) into an indecomposable module with the help of the minimization process.

Symbolic Computation · Computer Science 2016-08-31 Gerard Duchamp , Hatem Hadj Kacem , Eric Laugerotte

Simultaneous decompositions of a pair of states into pure ones are examined. There are privileged decompositions which are distinguished from all the other ones.

Quantum Physics · Physics 2009-11-06 Armin Uhlmann

One of the most challenging problems in the migration of a monolith to a microservices architecture is the identification of the microservices boundaries. Several approaches have been recently proposed for the automatic identification of…

Software Engineering · Computer Science 2022-04-27 Bernardo Andrade , Samuel Santos , António Rito Silva

Combinatorial sputtering is a physical vapor deposition method that enables the high-throughput synthesis of compositionally varied thin films. Using this technique, the effects of stoichiometry on specific properties of alloy thin films…

Materials Science · Physics 2026-02-20 Shelby Sutton Fields , Christopher David White , Keith Knipling , Steven Bennett

Multistage stochastic optimization problems are, by essence, complex as their solutions are indexed both by stages and by uncertainties. Their large scale nature makes decomposition methods appealing, like dynamic programming which is a…

Optimization and Control · Mathematics 2023-05-01 Pierre Carpentier , Jean-Philippe Chancelier , Michel de Lara , Thomas Martin , Tristan Rigaut

We consider a system consisting of a sequential composition of Mealy machines, called head and tail. We study two problems related to these systems. In the first problem, models of both head and tail components are available, and the aim is…

Formal Languages and Automata Theory · Computer Science 2021-10-08 Alberto Larrauri , Roderick Bloem

In migrating production workloads to cloud, enterprises often face the daunting task of evolving monolithic applications toward a microservice architecture. At IBM, we developed a tool called Mono2Micro to assist with this challenging task.…

Software Engineering · Computer Science 2021-09-16 Anup Kalia , Jin Xiao , Rahul Krishna , Saurabh Sinha , Maja Vukovic , Debasish Banerjee

Reductions combine collections of input values with an associative and often commutative operator to produce collections of results. When the same input value contributes to multiple outputs, there is an opportunity to reuse partial…

Programming Languages · Computer Science 2024-12-19 Louis Narmour , Tomofumi Yuki , Sanjay Rajopadhye

Compositionality is a cognitive mechanism that allows humans to systematically combine known concepts in novel ways. This study demonstrates how artificial neural agents acquire and utilize compositional generalization to describe…

Artificial Intelligence · Computer Science 2026-01-16 Boaz Carmeli , Ron Meir , Yonatan Belinkov

We investigate to what extent a suitably chosen system Hamiltonian can counteract local dissipative processes and preserve entanglement in the stationary state. The results determine prospects and limitations of dissipative state…

Quantum Physics · Physics 2014-03-27 Simeon Sauer , Clemens Gneiting , Andreas Buchleitner

Multiparty session types (MPST) provide a rigorous foundation for verifying the safety and liveness of concurrent systems. However, existing approaches often force a difficult trade-off: classical, projection-based techniques are…

Programming Languages · Computer Science 2025-12-01 David Castro-Perez , Francisco Ferreira , Sung-Shik Jongmans

Stakeholders' expectations and technology constantly evolve during the lengthy development cycles of a large-scale computer based system. Consequently, the traditional approach of baselining requirements results in an unsatisfactory system…

Software Engineering · Computer Science 2016-11-18 Ramya Ravichandar , James D. Arthur , Robert P. Broadwater

The quantum marginal problem consists in deciding whether a given set of marginal reductions is compatible with the existence of a global quantum state or not. In this work, we formulate the problem from the perspective of dynamical systems…

Quantum Physics · Physics 2022-09-29 Daniel Uzcátegui Contreras , Dardo Goyeneche

A univariate continuous function can always be decomposed as the sum of a non-increasing function and a non-decreasing one. Based on this property, we propose a non-parametric regression method that combines two spline-fitted monotone…

Methodology · Statistics 2024-04-11 Lijun Wang , Xiaodan Fan , Hongyu Zhao , Jun S. Liu

Noncommutative harmonic analysis is used to solve a nonparametric estimation problem stated in terms of compound Poisson processes on compact Lie groups. This problem of decompounding is a generalization of a similar classical problem. The…

Information Theory · Computer Science 2012-02-06 Salem Said , Christian Lageman , Nicolas Le Bihan , Jonathan H. Manton

Given an image of a natural scene, we are able to quickly decompose it into a set of components such as objects, lighting, shadows, and foreground. We can then envision a scene where we combine certain components with those from other…

Computer Vision and Pattern Recognition · Computer Science 2024-06-28 Jocelin Su , Nan Liu , Yanbo Wang , Joshua B. Tenenbaum , Yilun Du

Generalization is a key challenge in machine learning, specifically in reasoning tasks, where models are expected to solve problems more complex than those encountered during training. Existing approaches typically train reasoning models in…

Machine Learning · Computer Science 2025-10-24 Alexandru Oarga , Yilun Du

We present an adaptation of the so-called structural method \cite{CMM23} for Hamiltonian systems, and redesign the method for this specific context, which involves two coupled differential systems. Structural schemes decompose the problem…

Numerical Analysis · Mathematics 2025-01-24 Stéphane Clain , Emmanuel Franck , Victor Michel-Dansac