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This paper studies the expressive and computational power of discrete Ordinary Differential Equations (ODEs), a.k.a. (Ordinary) Difference Equations. It presents a new framework using these equations as a central tool for computation and…

Logic in Computer Science · Computer Science 2022-09-27 Olivier Bournez , Arnaud Durand

Binary Function Similarity Detection (BFSD) is a foundational technique in software security, underpinning a wide range of applications including vulnerability detection, malware analysis. Recent advances in AI-based BFSD tools have led to…

Cryptography and Security · Computer Science 2025-11-04 Jingyi Shi , Yufeng Chen , Yang Xiao , Yuekang Li , Zhengzi Xu , Sihao Qiu , Chi Zhang , Keyu Qi , Yeting Li , Xingchu Chen , Yanyan Zou , Yang Liu , Wei Huo

Deep learning-based approaches achieve state-of-the-art performance in the majority of image segmentation benchmarks. However, training of such models requires a sizable amount of manual annotations. In order to reduce this effort, we…

Image and Video Processing · Electrical Eng. & Systems 2019-09-04 Mahdyar Ravanbakhsh , Tassilo Klein , Kayhan Batmanghelich , Moin Nabi

We investigate the automatic differentiation of hybrid models, viz. models that may contain delays, logical tests and discontinuities or loops. We consider differentiation with respect to parameters, initial conditions or the time. We…

Systems and Control · Computer Science 2017-06-13 John Masse , Clara Masse , François Ollivier

Automatic differentiation variational inference (ADVI) offers fast and easy-to-use posterior approximation in multiple modern probabilistic programming languages. However, its stochastic optimizer lacks clear convergence criteria and…

Machine Learning · Computer Science 2024-04-18 Ryan Giordano , Martin Ingram , Tamara Broderick

Data-driven approaches are becoming more common as problem-solving techniques in many areas of research and industry. In most cases, machine learning models are the key component of these solutions, but a solution involves multiple such…

Artificial Intelligence · Computer Science 2019-06-20 Parisa Kordjamshidi , Dan Roth , Kristian Kersting

Over the past decade, machine learning methods have given us driverless cars, voice recognition, effective web search, and a much better understanding of the human genome. Machine learning is so common today that it is used dozens of times…

Computer Vision and Pattern Recognition · Computer Science 2021-06-22 Omer Aydin

The proliferation of deepfake imagery poses escalating challenges for practitioners tasked with verifying digital media authenticity. While detection algorithm research is abundant, empirical evaluations of publicly accessible tools that…

Cryptography and Security · Computer Science 2026-03-06 Michael Rettinger , Ben Beaumont , Nhien-An Le-Khac , Hong-Hanh Nguyen-Le

Anomaly detection (AD) is essential in areas such as fraud detection, network monitoring, and scientific research. However, the diversity of data modalities and the increasing number of specialized AD libraries pose challenges for…

Computation and Language · Computer Science 2025-05-20 Tiankai Yang , Junjun Liu , Wingchun Siu , Jiahang Wang , Zhuangzhuang Qian , Chanjuan Song , Cheng Cheng , Xiyang Hu , Yue Zhao

Code differencing is a fundamental technique in software engineering practice and research. While researchers have proposed text-based differencing techniques capable of identifying line changes over the past decade, existing methods…

Software Engineering · Computer Science 2025-10-27 Yao Lu , Wanwei Liu , Tanghaoran Zhang , Kang Yang , Yang Zhang , Wenyu Xu , Longfei Sun , Xinjun Mao , Shuzheng Gao , Michael R. Lyu

Differentiable programming is revolutionizing computational science by enabling automatic differentiation (AD) of numerical simulations. While first-order gradients are well-established, second-order derivatives (Hessians) for implicit…

Computational Engineering, Finance, and Science · Computer Science 2025-05-20 Tianju Xue

We present a system for the automatic differentiation of a higher-order functional array-processing language. The core functional language underlying this system simultaneously supports both source-to-source automatic differentiation and…

Mathematical Software · Computer Science 2018-06-07 Amir Shaikhha , Andrew Fitzgibbon , Dimitrios Vytiniotis , Simon Peyton Jones , Christoph Koch

Theoretical studies show that for any differentiable function on a compact domain, there exists a neural network that approximates both the function values and gradients. However, such a result cannot be used in practice since it assumes…

Machine Learning · Computer Science 2026-05-05 Sejun Park , Yeachan Park , Geonho Hwang

In this paper, we study the OOD generalization of neural algorithmic reasoning tasks, where the goal is to learn an algorithm (e.g., sorting, breadth-first search, and depth-first search) from input-output pairs using deep neural networks.…

Machine Learning · Computer Science 2023-03-21 Sadegh Mahdavi , Kevin Swersky , Thomas Kipf , Milad Hashemi , Christos Thrampoulidis , Renjie Liao

Programs involving discontinuities introduced by control flow constructs such as conditional branches pose challenges to mathematical optimization methods that assume a degree of smoothness in the objective function's response surface.…

Machine Learning · Computer Science 2024-01-05 Justin N. Kreikemeyer , Philipp Andelfinger

Out-of-distribution (OOD) detection is vital to safety-critical machine learning applications and has thus been extensively studied, with a plethora of methods developed in the literature. However, the field currently lacks a unified,…

Computer Vision and Pattern Recognition · Computer Science 2022-10-14 Jingkang Yang , Pengyun Wang , Dejian Zou , Zitang Zhou , Kunyuan Ding , Wenxuan Peng , Haoqi Wang , Guangyao Chen , Bo Li , Yiyou Sun , Xuefeng Du , Kaiyang Zhou , Wayne Zhang , Dan Hendrycks , Yixuan Li , Ziwei Liu

We present a method to formulate algorithm discovery as program search, and apply it to discover optimization algorithms for deep neural network training. We leverage efficient search techniques to explore an infinite and sparse program…

Reconstructing force fields (FFs) from atomistic simulation data is a challenge since accurate data can be highly expensive. Here, machine learning (ML) models can help to be data economic as they can be successfully constrained using the…

Chemical Physics · Physics 2022-10-27 Niklas Frederik Schmitz , Klaus-Robert Müller , Stefan Chmiela

Optimization on manifolds is a class of methods for optimization of an objective function, subject to constraints which are smooth, in the sense that the set of points which satisfy the constraints admits the structure of a differentiable…

Mathematical Software · Computer Science 2020-09-03 James Townsend , Niklas Koep , Sebastian Weichwald

There is a growing need for computational tools to automatically design and verify autonomous systems, especially complex robotic systems involving perception, planning, control, and hardware in the autonomy stack. Differentiable…

Robotics · Computer Science 2022-04-26 Charles Dawson , Chuchu Fan
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