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Particle filters are a class of algorithms that are used for "tracking" or "filtering" in real-time for a wide array of time series models. Despite their comprehensive applicability, particle filters are not always the tool of choice for…

Computation · Statistics 2020-01-29 Taylor R. Brown

Modern problems in AI or in numerical analysis require nonsmooth approaches with a flexible calculus. We introduce generalized derivatives called conservative fields for which we develop a calculus and provide representation formulas.…

Optimization and Control · Mathematics 2020-04-10 Jérôme Bolte , Edouard Pauwels

We introduce Deep Linear Discriminant Analysis (DeepLDA) which learns linearly separable latent representations in an end-to-end fashion. Classic LDA extracts features which preserve class separability and is used for dimensionality…

Machine Learning · Computer Science 2016-02-18 Matthias Dorfer , Rainer Kelz , Gerhard Widmer

Compilers are complex, and significant effort has been expended on testing them. Techniques such as random program generation and differential testing have proved highly effective and have uncovered thousands of bugs in production…

Software Engineering · Computer Science 2025-01-03 Davide Italiano , Chris Cummins

Recovering class inheritance from C++ binaries has several security benefits including problems such as decompilation and program hardening. Thanks to the optimization guidelines prescribed by the C++ standard, commercial C++ binaries tend…

Cryptography and Security · Computer Science 2019-02-19 Rukayat Ayomide Erinfolami , Aravind Prakash

We present Fortuna, an open-source library for uncertainty quantification in deep learning. Fortuna supports a range of calibration techniques, such as conformal prediction that can be applied to any trained neural network to generate…

Deep Reinforcement Learning (RL) can yield capable agents and control policies in several domains but is commonly plagued by prohibitively long training times. Additionally, in the case of continuous control problems, the applicability of…

Machine Learning · Computer Science 2024-11-20 Jonas Eschmann , Dario Albani , Giuseppe Loianno

For over 15 years, the mlpack machine learning library has served as a "swiss army knife" for C++-based machine learning. Its efficient implementations of common and cutting-edge machine learning algorithms have been used in a wide variety…

Differentiable Architecture Search (DARTS) is an effective continuous relaxation-based network architecture search (NAS) method with low search cost. It has attracted significant attentions in Auto-ML research and becomes one of the most…

Artificial Intelligence · Computer Science 2022-03-10 Jun-Wei Hsieh , Ming-Ching Chang , Ping-Yang Chen , Santanu Santra , Cheng-Han Chou , Chih-Sheng Huang

Deep learning has seen tremendous success over the past decade in computer vision, machine translation, and gameplay. This success rests in crucial ways on gradient-descent optimization and the ability to learn parameters of a neural…

Machine Learning · Computer Science 2019-08-30 Fei Wang , Daniel Zheng , James Decker , Xilun Wu , Grégory M. Essertel , Tiark Rompf

Library learning is the process of building a library of common functionalities from a given set of programs. Typically, this process is applied in the context of aiding program synthesis: concise functions can help the synthesizer produce…

Programming Languages · Computer Science 2024-10-10 Abhiram Bellur , Razan Alghamdi , Kidus Workneh , Joseph Izraelevitz

This dissertation focuses on the design and the implementation of domain-specific compilers for linear algebra matrix equations. The development of efficient libraries for such equations, which lie at the heart of most software for…

Mathematical Software · Computer Science 2014-04-15 Diego Fabregat-Traver

This course, intended for undergraduates familiar with elementary calculus and linear algebra, introduces the extension of differential calculus to functions on more general vector spaces, such as functions that take as input a matrix and…

History and Overview · Mathematics 2025-01-28 Paige Bright , Alan Edelman , Steven G. Johnson

Geo-replicated systems provide a number of desirable properties such as globally low latency, high availability, scalability, and built-in fault tolerance. Unfortunately, programming correct applications on top of such systems has proven to…

Programming Languages · Computer Science 2025-02-27 Kartik Nagar , Prasita Mukherjee , Suresh Jagannathan

I present a lightweight C++ library for the evaluation of classical polylogarithms Li_n and the special function Li_{22} for arbitrary complex arguments. The evaluation is possible in arbitrary precision arithmetic and features also an…

High Energy Physics - Phenomenology · Physics 2016-06-01 Sebastian Kirchner

Programmers often leverage data structure libraries that provide useful and reusable abstractions. Modular verification of programs that make use of these libraries naturally rely on specifications that capture important properties about…

Programming Languages · Computer Science 2022-02-15 Zhe Zhou , Robert Dickerson , Benjamin Delaware , Suresh Jagannathan

Efficient high-performance libraries often expose multiple tunable parameters to provide highly optimized routines. These can range from simple loop unroll factors or vector sizes all the way to algorithmic changes, given that some…

Performance · Computer Science 2022-02-22 Marco Cianfriglia , Flavio Vella , Cedric Nugteren , Anton Lokhmotov , Grigori Fursin

Object-oriented programming languages such as Java and Objective C have become popular for implementing agent-based and other object-based simulations since objects in those languages can {\em reflect} (i.e. make runtime queries of an…

Mathematical Software · Computer Science 2008-10-22 Russell K. Standish , Duraid Madina

Annex K of C11, bounds-checking interfaces, recently introduced a set of alternative functions to mitigate buffer overflows, primarily those caused by string/memory functions. However, poor compatibility limits their adoption. Failure…

Cryptography and Security · Computer Science 2020-04-21 Kang Sun , Daliang Xu , Dongwei Chen , Xu Cheng , Dong Tong

A study of the existing linear algebra libraries that you can use from C++

Mathematical Software · Computer Science 2011-03-17 Claire Mouton