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A new method for data-driven interpolatory model reduction is presented in this paper. Using the so-called data informativity perspective, we define a framework that enables the computation of moments at given (possibly complex)…

Systems and Control · Electrical Eng. & Systems 2022-04-29 Azka Muji Burohman , Bart Besselink , Jacquelien M. A. Scherpen , M. Kanat Camlibel

Dynamic Programming (DP) suffers from the well-known ``curse of dimensionality'', further exacerbated by the need to compute expectations over process noise in stochastic models. This paper presents a Monte Carlo-based sampling approach for…

Systems and Control · Electrical Eng. & Systems 2024-09-10 Mohammad S. Ramadan , Ahmad Al-Tawaha , Mohamed Shouman , Ahmed Atallah , Ming Jin

In this work, we develop Non-Intrusive Reduced Order Models (NIROMs) that combine Proper Orthogonal Decomposition (POD) with a Radial Basis Function (RBF) interpolation method to construct efficient reduced order models for time-dependent…

Computational Physics · Physics 2025-02-21 Sourav Dutta , Matthew W. Farthing , Emma Perracchione , Gaurav Savant , Mario Putti

We propose some domain-independent techniques for bringing well-founded partial-order planners closer to practicality. The first two techniques are aimed at improving search control while keeping overhead costs low. One is based on a simple…

Artificial Intelligence · Computer Science 2009-09-25 A. Gerevini , L. Schubert

A logic has uniform interpolation if its formulas can be projected down to given subsignatures, preserving all logical consequences that do not mention the removed symbols; the weaker property of (Craig) interpolation allows the projected…

Logic in Computer Science · Computer Science 2022-05-03 Fatemeh Seifan , Lutz Schröder , Dirk Pattinson

We present a model reduction approach for the real-time solution of time-dependent nonlinear partial differential equations (PDEs) with parametric dependencies. The approach integrates several ingredients to develop efficient and accurate…

Numerical Analysis · Mathematics 2024-10-04 Ngoc Cuong Nguyen

The goal of this paper is to present two algorithms for solving systems of inclusion problems, with all component of the systems being a sum of two maximal monotone operators. The algorithms are variants of the forward-backward splitting…

Optimization and Control · Mathematics 2018-05-28 R. Díaz Millán

In this paper, we study the interleaving -- or pure merge -- operator that most often characterizes parallelism in concurrency theory. This operator is a principal cause of the so-called combinatorial explosion that makes very hard - at…

Programming Languages · Computer Science 2016-05-05 Olivier Bodini , Antoine Genitrini , Frédéric Peschanski

In this paper, we introduce a new reduced basis methodology for accelerating the computation of large parameterized systems of high-fidelity integral equations. Core to our methodology is the use of coarse-proxy models (i.e., lower…

Numerical Analysis · Mathematics 2019-11-14 Philip A. Etter , Yuwei Fan , Lexing Ying

Mixup - a neural network regularization technique based on linear interpolation of labeled sample pairs - has stood out by its capacity to improve model's robustness and generalizability through a surprisingly simple formalism. However, its…

Computer Vision and Pattern Recognition · Computer Science 2020-03-05 Shahine Bouabid , Vincent Delaitre

In this paper, we propose an algorithm combining the forward-backward splitting method and the alternative projection method for solving the system of splitting inclusion problem. We want to find a point in the interception of a finite…

Optimization and Control · Mathematics 2016-04-08 R. Díaz Millán

This paper proposes an image interpolation algorithm exploiting sparse representation for natural images. It involves three main steps: (a) obtaining an initial estimate of the high resolution image using linear methods like FIR filtering,…

Computer Vision and Pattern Recognition · Computer Science 2013-08-07 H. Lakshman , W. -Q Lim , H. Schwarz , D. Marpe , G. Kutyniok , T. Wiegand

Interpolation is an important property of classical and many non classical logics that has been shown to have interesting applications in computer science and AI. Here we study the Interpolation Property for the propositional version of the…

Logic in Computer Science · Computer Science 2010-12-20 Dov Gabbay , David Pearce , Agustí n Valverde

While deep spiking neural networks (SNNs) demonstrate superior performance, their deployment on resource-constrained neuromorphic hardware still remains challenging. Network pruning offers a viable solution by reducing both parameters and…

Neural and Evolutionary Computing · Computer Science 2025-07-08 Hui Xie , Yuhe Liu , Shaoqi Yang , Jinyang Guo , Yufei Guo , Yuqing Ma , Jiaxin Chen , Jiaheng Liu , Xianglong Liu

We propose a fast greedy algorithm to compute sparse representations of signals from continuous dictionaries that are factorizable, i.e., with atoms that can be separated as a product of sub-atoms. Existing algorithms strongly reduce the…

Signal Processing · Electrical Eng. & Systems 2020-12-01 Gilles Monnoyer de Galland , Luc Vandendorpe , Laurent Jacques

In this paper we propose a new efficient interpolation tool, extremely suitable for large scattered data sets. The partition of unity method is used and performed by blending Radial Basis Functions (RBFs) as local approximants and using…

Numerical Analysis · Mathematics 2016-04-18 R. Cavoretto , A. De Rossi , E. Perracchione

Compression is a crucial solution for data reduction in modern scientific applications due to the exponential growth of data from simulations, experiments, and observations. Compression with progressive retrieval capability allows users to…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-04-08 Zhuoxun Yang , Sheng Di , Longtao Zhang , Ruoyu Li , Ximiao Li , Jiajun Huang , Jinyang Liu , Franck Cappello , Kai Zhao

Pruning is a core technique for compressing neural networks to improve computational efficiency. This process is typically approached in two ways: one-shot pruning, which involves a single pass of training and pruning, and iterative…

Machine Learning · Computer Science 2025-08-20 Mikołaj Janusz , Tomasz Wojnar , Yawei Li , Luca Benini , Kamil Adamczewski

We present a subsampling strategy for the offline stage of the Reduced Basis Method. The approach is aimed at bringing down the considerable offline costs associated with using a finely-sampled training set. The proposed algorithm exploits…

Numerical Analysis · Mathematics 2023-01-24 Sridhar Chellappa , Lihong Feng , Peter Benner

Many parallel algorithms which solve basic problems in computer science use auxiliary space linear in the input to facilitate conflict-free computation. There has been significant work on improving these parallel algorithms to be in-place,…

Data Structures and Algorithms · Computer Science 2025-03-11 Chase Hutton , Adam Melrod
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