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The aim of this study is to construct and compose an instructional design in combinatorial learning, particularly in the concept of counting. A composed design is expected to optimize students' combinatorial-thinking skill. This research…

History and Overview · Mathematics 2021-04-02 I. R. Ihsan , N. Karjanto

We introduce a novel LLM based solution design approach that utilizes combinatorial optimization and sampling. Specifically, a set of factors that influence the quality of the solution are identified. They typically include factors that…

Computation and Language · Computer Science 2024-05-24 Samuel Ackerman , Eitan Farchi , Rami Katan , Orna Raz

Effective therapy of complex diseases requires control of highly non-linear complex networks that remain incompletely characterized. In particular, drug intervention can be seen as control of signaling in cellular networks. Identification…

Quantitative Methods · Quantitative Biology 2009-09-03 Jacob D. Feala , Jorge Cortes , Phillip M. Duxbury , Carlo Piermarocchi , Andrew D. McCulloch , Giovanni Paternostro

Data driven algorithm design is an important aspect of modern data science and algorithm design. Rather than using off the shelf algorithms that only have worst case performance guarantees, practitioners often optimize over large families…

Data Structures and Algorithms · Computer Science 2020-11-17 Maria-Florina Balcan

Coded distributed computing introduced by Li et al. in 2015 is an efficient approach to trade computing power to reduce the communication load in general distributed computing frameworks such as MapReduce. In particular, Li et al. show that…

Distributed, Parallel, and Cluster Computing · Computer Science 2018-02-13 Nicholas Woolsey , Rong-Rong Chen , Mingyue Ji

We propose a new family of combinatorial inference problems for graphical models. Unlike classical statistical inference where the main interest is point estimation or parameter testing, combinatorial inference aims at testing the global…

Statistics Theory · Mathematics 2018-02-14 Matey Neykov , Junwei Lu , Han Liu

Designing networks with specified collective properties is useful in a variety of application areas, enabling the study of how given properties affect the behavior of network models, the downscaling of empirical networks to workable sizes,…

Optimization and Control · Mathematics 2017-06-20 Chrysanthos E. Gounaris , Karthikeyan Rajendran , Ioannis G. Kevrekidis , Christodoulos A. Floudas

In 'An asymptotic result on compressed sensing matrices', a new construction for compressed sensing matrices using combinatorial design theory was introduced. In this paper, we use deterministic and probabilistic methods to analyse the…

Information Theory · Computer Science 2015-05-21 Darryn Bryant , Charles Colbourn , Daniel Horsley , Padraig Ó Catháin

The twenty-first century is a data-driven era where human activities and behavior, physical phenomena, scientific discoveries, technology advancements, and almost everything that happens in the world resulting in massive generation,…

Artificial Intelligence · Computer Science 2025-02-10 Simon Zhang

Contract theory studies how a principal can incentivize agents to exert costly, unobservable effort through performance-based payments. While classical economic models provide elegant characterizations of optimal solutions, modern…

Computer Science and Game Theory · Computer Science 2025-10-20 Michal Feldman

This thesis is concerned with the design of distributed algorithms for solving optimization problems. We consider networks where each node has exclusive access to a cost function, and design algorithms that make all nodes cooperate to find…

Optimization and Control · Mathematics 2013-12-03 João F. C. Mota

Compositionality is a key strategy for addressing combinatorial complexity and the curse of dimensionality. Recent work has shown that compositional solutions can be learned and offer substantial gains across a variety of domains, including…

Machine Learning · Computer Science 2019-04-30 Clemens Rosenbaum , Ignacio Cases , Matthew Riemer , Tim Klinger

In many multiagent domains a set of agents exert effort towards a joint outcome, yet the individual effort levels cannot be easily observed. A typical example for such a scenario is routing in communication networks, where the sender can…

Computer Science and Game Theory · Computer Science 2014-01-17 Moshe Babaioff , Michal Feldman , Noam Nisan

Existing approaches to solving combinatorial optimization problems on graphs suffer from the need to engineer each problem algorithmically, with practical problems recurring in many instances. The practical side of theoretical computer…

Machine Learning · Computer Science 2020-07-15 Natalia Vesselinova , Rebecca Steinert , Daniel F. Perez-Ramirez , Magnus Boman

This paper shows how we combine and adapt methods from elite training, future studies, and collaborative design, and apply them to address significant problems in social networks. We focus on three such methods: we use Project Action…

Social and Information Networks · Computer Science 2022-04-07 Joseph Corneli , Alex Murphy , Raymond S. Puzio , Leo Vivier , Noorah Alhasan , Charles J. Danoff , Vitor Bruno , Charlotte Pierce

Context: Combinatorial testing strategies have lately received a lot of attention as a result of their diverse applications. In its simple form, a combinatorial strategy can reduce several input parameters (configurations) of a system into…

Software Engineering · Computer Science 2018-04-23 Bestoun S. Ahmed , Luca M. Gambardella , Wasif Afzal , Kamal Z. Zamli

Current autonomic computing systems are ad hoc solutions that are designed and implemented from the scratch. When designing software, in most cases two or more patterns are to be composed to solve a bigger problem. A composite design…

Software Engineering · Computer Science 2012-09-11 Vishnuvardhan Mannava , T. Ramesh

The constraints of lightweight distributed computing environments such as wireless sensor networks lend themselves to the use of symmetric cryptography to provide security services. The lack of central infrastructure after deployment of…

Cryptography and Security · Computer Science 2009-02-04 Keith M. Martin

The paper describes multistage design of composite (modular) systems (i.e., design of a system trajectory). This design process consists of the following: (i) definition of a set of time/logical points; (ii) modular design of the system for…

Artificial Intelligence · Computer Science 2013-06-20 Mark Sh. Levin

We propose a method for constructing optimal block designs for experiments on networks. The response model for a given network interference structure extends the linear network effects model to incorporate blocks. The optimality criteria…

Methodology · Statistics 2019-11-26 Vasiliki Koutra , Steven G. Gilmour , Ben M. Parker
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