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Integer programming is concerned with solving linear systems of equations over the non-negative integers. The basic question is to find a solution which minimizes a given linear objective function for a fixed right hand side. Here we also…

Optimization and Control · Mathematics 2007-05-23 Bernd Sturmfels

Pattern recognition and machine learning are becoming integral parts of algorithms in a wide range of applications. Different algorithms and approaches for machine learning include different tradeoffs between performance and computation, so…

Machine Learning · Statistics 2014-06-24 Kenneth D. Morton , Peter Torrione , Leslie Collins , Sam Keene

We present a PyTorch-powered implementation of the emulator-based component analysis used for ill-posed numerical non-linear inverse problems, where an approximate emulator for the forward problem is known. This emulator may be a numerical…

Numerical Analysis · Mathematics 2025-01-08 Anton Vladyka , Eemeli A. Eronen , Johannes Niskanen

We propose a novel solution framework for inverse mixed-integer optimization based on analytic center concepts from interior point methods. We characterize the optimality gap of a given solution, provide structural results, and propose…

Optimization and Control · Mathematics 2025-04-08 Samir Elhedhli , Göksu Ece Okur

Research efforts of the past fifty years have led to a development of linear integer programming as a mature discipline of mathematical optimization. Such a level of maturity has not been reached when one considers nonlinear systems subject…

Optimization and Control · Mathematics 2017-01-03 Raymond Hemmecke , Matthias Köppe , Jon Lee , Robert Weismantel

Access to vast amounts of data along with affordable computational power stimulated the reincarnation of neural networks. The progress could not be achieved without adequate software tools, lowering the entry bar for the next generations of…

Machine Learning · Computer Science 2019-10-22 Tomasz Kornuta

There is a need for open-source libraries in emission tomography that (i) use modern and popular backend code to encourage community contributions and (ii) offer support for the multitude of reconstruction techniques available in recent…

We present a novel usage of Transformers to make image classification interpretable. Unlike mainstream classifiers that wait until the last fully connected layer to incorporate class information to make predictions, we investigate a…

Distributed, large-scale quantum computing will need architectures that combine matter-based qubits with photonic links, but today's software stacks target either gate-based chips or linear-optical devices in isolation. We introduce Optyx,…

Time series models are ubiquitous in science, arising in any situation where researchers seek to understand how a system's behaviour changes over time. A key problem in time series modelling is \emph{inference}; determining properties of…

Mathematical Software · Computer Science 2020-01-13 Michael Clerx , Martin Robinson , Ben Lambert , Chon Lok Lei , Sanmitra Ghosh , Gary R. Mirams , David J. Gavaghan

We propose Text2Math, a model for semantically parsing text into math expressions. The model can be used to solve different math related problems including arithmetic word problems and equation parsing problems. Unlike previous approaches,…

Computation and Language · Computer Science 2019-10-16 Yanyan Zou , Wei Lu

Modern deep learning frameworks provide imperative, eager execution programming interfaces embedded in Python to provide a productive development experience. However, deep learning practitioners sometimes need to capture and transform…

Machine Learning · Computer Science 2022-03-08 James K. Reed , Zachary DeVito , Horace He , Ansley Ussery , Jason Ansel

8-bit integer inference, as a promising direction in reducing both the latency and storage of deep neural networks, has made great progress recently. On the other hand, previous systems still rely on 32-bit floating point for certain…

Computation and Language · Computer Science 2020-09-21 Ye Lin , Yanyang Li , Tengbo Liu , Tong Xiao , Tongran Liu , Jingbo Zhu

Pattern matching is a powerful tool for symbolic computations. Applications include term rewriting systems, as well as the manipulation of symbolic expressions, abstract syntax trees, and XML and JSON data. It also allows for an intuitive…

Programming Languages · Computer Science 2017-10-09 Manuel Krebber , Henrik Barthels , Paolo Bientinesi

Measurements at particle collider experiments, even if primarily aimed at understanding Standard Model processes, can have a high degree of model independence, and implicitly contain information about potential contributions from physics…

High Energy Physics - Phenomenology · Physics 2021-08-20 A. Buckley , J. M. Butterworth , L. Corpe , M. Habedank , D. Huang , D. Yallup , M. Altakach , G. Bassman , I. Lagwankar , J. Rocamonde , H. Saunders , B. Waugh , G. Zilgalvis

We present PyMoosh, a Python-based simulation library designed to provide a comprehensive set of numerical tools allowing to compute essentially all optical characteristics of multilayered structures, ranging from reflectance and…

We introduce an open-source toolkit for neural machine translation (NMT) to support research into model architectures, feature representations, and source modalities, while maintaining competitive performance, modularity and reasonable…

Computation and Language · Computer Science 2017-09-13 Guillaume Klein , Yoon Kim , Yuntian Deng , Josep Crego , Jean Senellart , Alexander M. Rush

Neural Networks are notoriously difficult to inspect. We introduce comgra, an open source python library for use with PyTorch. Comgra extracts data about the internal activations of a model and organizes it in a GUI (graphical user…

Machine Learning · Computer Science 2024-08-01 Florian Dietz , Sophie Fellenz , Dietrich Klakow , Marius Kloft

We present Integer Linear Programming (ILP) Modulo Theories (IMT). An IMT instance is an Integer Linear Programming instance, where some symbols have interpretations in background theories. In previous work, the IMT approach has been…

Logic in Computer Science · Computer Science 2013-04-09 Panagiotis Manolios , Vasilis Papavasileiou

Pattern matching is a powerful tool for symbolic computations, based on the well-defined theory of term rewriting systems. Application domains include algebraic expressions, abstract syntax trees, and XML and JSON data. Unfortunately, no…

Programming Languages · Computer Science 2017-10-20 Manuel Krebber , Henrik Barthels , Paolo Bientinesi