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Automatic differentiation is a key component in deep learning. This topic is well studied and excellent surveys such as Baydin et al. (2018) have been available to clearly describe the basic concepts. Further, sophisticated implementations…

Machine Learning · Computer Science 2024-12-18 Yu-Hsueh Fang , He-Zhe Lin , Jie-Jyun Liu , Chih-Jen Lin

We provide a unifying framework where artificial neural networks and their architectures can be formally described as particular cases of a general mathematical construction--machines of finite depth. Unlike neural networks, machines have a…

Machine Learning · Computer Science 2022-04-28 Pietro Vertechi , Mattia G. Bergomi

Accurate diagnosis and prognosis of Alzheimer's disease are crucial to develop new therapies and reduce the associated costs. Recently, with the advances of convolutional neural networks, methods have been proposed to automate these two…

Image and Video Processing · Electrical Eng. & Systems 2022-11-29 Huy-Dung Nguyen , Michaël Clément , Boris Mansencal , Pierrick Coupé

Architectural Design Rewriting (ADR, for short) is a rule-based formal framework for modelling the evolution of architectures of distributed systems. Rules allow ADR graphs to be refined. After equipping ADR with a simple logic, we equip…

Logic in Computer Science · Computer Science 2012-12-19 Kyriakos Poyias , Emilio Tuosto

In spite of the rapid advancements in unsupervised log anomaly detection techniques, the current mainstream models still necessitate specific training for individual system datasets, resulting in costly procedures and limited scalability…

Software Engineering · Computer Science 2024-01-17 Runqiang Zang , Hongcheng Guo , Jian Yang , Jiaheng Liu , Zhoujun Li , Tieqiao Zheng , Xu Shi , Liangfan Zheng , Bo Zhang

In this paper, we study the relationship between algebraic manipulation detection (AMD) codes and highly nonlinear functions. As applications, on one hand, a generic construction for systematic AMD codes is introduced based on highly…

Combinatorics · Mathematics 2020-02-11 Minfeng Shao , Ying Miao

In this paper, we show that for a class of linearly constrained convex composite optimization problems, an (inexact) symmetric Gauss-Seidel based majorized multi-block proximal alternating direction method of multipliers (ADMM) is…

Optimization and Control · Mathematics 2019-01-29 Liang Chen , Xudong Li , Defeng Sun , Kim-Chuan Toh

Automatic differentiation, as implemented today, does not have a simple mathematical model adapted to the needs of modern machine learning. In this work we articulate the relationships between differentiation of programs as implemented in…

Machine Learning · Computer Science 2020-10-30 Jerome Bolte , Edouard Pauwels

Anomaly detection is a significant and hence well-studied problem. However, developing effective anomaly detection methods for complex and high-dimensional data remains a challenge. As Generative Adversarial Networks (GANs) are able to…

Machine Learning · Computer Science 2018-12-07 Houssam Zenati , Manon Romain , Chuan Sheng Foo , Bruno Lecouat , Vijay Ramaseshan Chandrasekhar

Panoptic segmentation that unifies instance segmentation and semantic segmentation has recently attracted increasing attention. While most existing methods focus on designing novel architectures, we steer toward a different perspective:…

Computer Vision and Pattern Recognition · Computer Science 2020-12-08 Gengwei Zhang , Yiming Gao , Hang Xu , Hao Zhang , Zhenguo Li , Xiaodan Liang

We show that Automatic Differentiation (AD) operators can be provided in a dynamic language without sacrificing numeric performance. To achieve this, general forward and reverse AD functions are added to a simple high-level dynamic…

Programming Languages · Computer Science 2016-11-11 Jeffrey Mark Siskind , Barak A. Pearlmutter

In the era of data-driven intelligence, the paradox of data abundance and annotation scarcity has emerged as a critical bottleneck in the advancement of machine learning. This paper gives a detailed overview of Active Learning (AL), which…

Machine Learning · Computer Science 2025-11-27 Chiung-Yi Tseng , Junhao Song , Ziqian Bi , Tianyang Wang , Chia Xin Liang , Xinyuan Song , Ming Liu

The alternating direction method of multipliers (ADM or ADMM) breaks a complex optimization problem into much simpler subproblems. The ADM algorithms are typically short and easy to implement yet exhibit (nearly) state-of-the-art…

Optimization and Control · Mathematics 2021-02-02 Ming Yan , Wotao Yin

Detecting out of distribution (OOD) samples is of paramount importance in all Machine Learning applications. Deep generative modeling has emerged as a dominant paradigm to model complex data distributions without labels. However, prior work…

Machine Learning · Computer Science 2021-01-05 Gowthami Somepalli , Yexin Wu , Yogesh Balaji , Bhanukiran Vinzamuri , Soheil Feizi

Online synaptic plasticity rules derived from gradient descent achieve high accuracy on a wide range of practical tasks. However, their software implementation often requires tediously hand-derived gradients or using gradient…

Neural and Evolutionary Computing · Computer Science 2025-01-22 Jamie Lohoff , Anil Kaya , Florian Assmuth , Emre Neftci

The classical subset construction for non-deterministic automata can be generalized to other side-effects captured by a monad. The key insight is that both the state space of the determinized automaton and its semantics---languages over an…

Formal Languages and Automata Theory · Computer Science 2019-05-16 Gerco van Heerdt , Joshua Moerman , Matteo Sammartino , Alexandra Silva

This dissertation explores block decomposable methods for large-scale optimization problems. It focuses on alternating direction method of multipliers (ADMM) schemes and block coordinate descent (BCD) methods. Specifically, it introduces a…

Optimization and Control · Mathematics 2026-01-15 Leandro Farias Maia

Anomaly detection (AD) is a critical task across domains such as cybersecurity and healthcare. In the unsupervised setting, an effective and theoretically-grounded principle is to train classifiers to distinguish normal data from…

Machine Learning · Statistics 2025-06-18 Matthew Lau , Tian-Yi Zhou , Xiangchi Yuan , Jizhou Chen , Wenke Lee , Xiaoming Huo

The extraction of the model parameters is as important as the development of compact model itself because simulation accuracy is fully determined by the accuracy of the parameters used. This study proposes an efficient model-parameter…

Systems and Control · Electrical Eng. & Systems 2021-10-29 Michihiro Shintani , Aoi Ueda , Takashi Sato

Deep anomaly detection (AD) aims to provide robust and efficient classifiers for one-class and unbalanced settings. However current AD models still struggle on edge-case normal samples and are often unable to keep high performance over…

Computer Vision and Pattern Recognition · Computer Science 2023-03-10 Loic Jezequel , Ngoc-Son Vu , Jean Beaudet , Aymeric Histace
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