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We present a nonlinear interpolation technique for parametric fields that exploits optimal transportation of coherent structures of the solution to achieve accurate performance. The approach generalizes the nonlinear interpolation procedure…

Numerical Analysis · Mathematics 2023-10-09 Simona Cucchiara , Angelo Iollo , Tommaso Taddei , Haysam Telib

We consider entanglement purification protocols for multiple copies of qubit states. We use high-dimensional auxiliary entangled systems to learn about number and positions of errors in the noisy ensemble in an explicit and controlled way,…

Quantum Physics · Physics 2021-07-28 Ferran Riera Sàbat , Pavel Sekatski , Alexander Pirker , Wolfgang Dür

In this paper we address the issue of pruning (i.e., shortening) a given interleaver via truncation of the transposition vector of the mother permutation and study its impact on the structural properties of the permutation. This method of…

Information Theory · Computer Science 2013-10-15 Fred Daneshgaran , Marina Mondin

This paper explores two classes of model adaptation methods for Web search ranking: Model Interpolation and error-driven learning approaches based on a boosting algorithm. The results show that model interpolation, though simple, achieves…

Machine Learning · Computer Science 2019-07-24 Jianfeng Gao , Qiang Wu , Chris Burges , Krysta Svore , Yi Su , Nazan Khan , Shalin Shah , Hongyan Zhou

In computer vision most iterative optimization algorithms, both sparse and dense, rely on a coarse and reliable dense initialization to bootstrap their optimization procedure. For example, dense optical flow algorithms profit massively in…

Computer Vision and Pattern Recognition · Computer Science 2017-03-16 Matthias Ochs , Henry Bradler , Rudolf Mester

Given a pattern x of length m and a text y of length n, both over an ordered alphabet, the order-preserving pattern matching problem consists in finding all substrings of the text with the same relative order as the pattern. It is an…

Data Structures and Algorithms · Computer Science 2015-01-19 Simone Faro , Oğuzhan Külekci

Software model checking is a challenging problem, and generating relevant invariants is a key factor in proving the safety properties of a program. Program invariants can be obtained by various approaches, including lightweight procedures…

Software Engineering · Computer Science 2024-10-28 Dirk Beyer , Po-Chun Chien , Nian-Ze Lee

Pruning is widely recognized as an effective method for reducing the parameters of large language models (LLMs), potentially leading to more efficient deployment and inference. One classic and prominent path of LLM one-shot pruning is to…

Computation and Language · Computer Science 2026-03-09 Mingluo Su , Huan Wang

We consider the problem of partial order production: arrange the elements of an unknown totally ordered set T into a target partially ordered set S, by comparing a minimum number of pairs in T. Special cases include sorting by comparisons,…

Data Structures and Algorithms · Computer Science 2010-05-06 Jean Cardinal , Samuel Fiorini , Gwenaël Joret , Raphaël M. Jungers , J. Ian Munro

Runtime Verification (RV) refers to a family of techniques in which system executions are observed and confronted to formal specifications, with the aim of identifying faults. In Offline RV, observation is done in a first step and…

Formal Languages and Automata Theory · Computer Science 2024-03-06 Erwan Mahe , Boutheina Bannour , Christophe Gaston , Pascale Le Gall

We present a technique for efficient stateless model checking of programs that execute under the relaxed memory models TSO and PSO. The basis for our technique is a novel representation of executions under TSO and PSO, called chronological…

Logic in Computer Science · Computer Science 2015-01-12 Parosh Abdulla , Stavros Aronis , Mohammed Faouzi Atig , Bengt Jonsson , Carl Leonardsson , Konstantinos Sagonas

In this paper we present a new algorithm for Polynomial Linear System Solving (via evaluation/interpolation) with errors. In this scenario, errors can occur in the black box evaluation step. We improve the bound on the number of errors that…

Information Theory · Computer Science 2021-02-09 E. Guerrini , R. Lebreton , I. Zappatore

This paper proposes a data-driven algorithm for model order reduction (MOR) of large-scale wind farms and studies the effects that the obtained reduced-order model (ROM) has when this is integrated into the power grid. With respect to…

Systems and Control · Electrical Eng. & Systems 2024-12-16 Zilong Gong , Junyu Mao , Adrià Junyent-Ferré , Giordano Scarciotti

Modern applications, such as social networking systems and e-commerce platforms are centered around using large-scale databases for storing and retrieving data. Accesses to the database are typically enclosed in transactions that allow…

Programming Languages · Computer Science 2023-04-17 Ahmed Bouajjani , Constantin Enea , Enrique Román-Calvo

Neural network pruning is a widely used strategy for reducing model storage and computing requirements. It allows to lower the complexity of the network by introducing sparsity in the weights. Because taking advantage of sparse matrices is…

Computer Vision and Pattern Recognition · Computer Science 2022-03-14 Nathan Hubens , Matei Mancas , Bernard Gosselin , Marius Preda , Titus Zaharia

Splitting methods constitute a well-established class of numerical schemes for the time integration of partial differential equations. Their main advantages over more traditional schemes are computational efficiency and superior geometric…

Numerical Analysis · Mathematics 2017-01-06 Lukas Einkemmer , Alexander Ostermann

Iterative Magnitude Pruning (IMP) is a network pruning method that repeats the process of removing weights with the least magnitudes and retraining the model. When visualizing the weight matrices of language models pruned by IMP, previous…

Computation and Language · Computer Science 2021-09-21 Dongjun Park , Geung-Hee Lee

In [J. C. Howell and J. A. Yeazell, Phys. Rev. A 62, 012102 (2000)], a proposal is made to generate entangled macroscopically distinguishable states of two spatially separated traveling optical modes. We model the decoherence due to light…

Quantum Physics · Physics 2016-04-26 J. Clausen , L. Knoell , D. -G. Welsch

Iterative pruning is one of the most effective compression methods for pre-trained language models. We discovered that finding the optimal pruning decision is an equality-constrained 0-1 Integer Linear Programming problem. The solution to…

Computation and Language · Computer Science 2023-05-23 Siyu Ren , Kenny Q. Zhu

First Order Logic (FOL) is a powerful reasoning tool for program verification. Recent work on Ivy shows that FOL is well suited for verification of parameterized distributed systems. However, specifying many natural objects, such as a ring…

Logic in Computer Science · Computer Science 2019-03-11 Rylo Ashmore , Arie Gurfinkel , Richard Trefler