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We give a self-contained treatment of the theory of persistence modules indexed over the real line. We give new proofs of the standard results. Persistence diagrams are constructed using measure theory. Linear algebra lemmas are simplified…

Algebraic Topology · Mathematics 2013-03-21 Frederic Chazal , Vin de Silva , Marc Glisse , Steve Oudot

The focus of this work is on Statistical Process Control (SPC) of a manufacturing process based on available measurements. Two important applications of SPC in industrial settings are fault detection and diagnosis (FDD). In this work a deep…

Machine Learning · Computer Science 2022-11-21 Piyush Agarwal , Melih Tamer , Hector Budman

Linear recurrent neural networks (LRNNs) provide a structured approach to sequence modeling that bridges classical linear dynamical systems and modern deep learning, offering both expressive power and theoretical guarantees on stability and…

Distributed storage systems and databases are widely used by various types of applications. Transactional access to these storage systems is an important abstraction allowing application programmers to consider blocks of actions (i.e.,…

Programming Languages · Computer Science 2023-06-22 Sidi Mohamed Beillahi , Ahmed Bouajjani , Constantin Enea

Deep neural networks based on linear RNNs interleaved with position-wise MLPs are gaining traction as competitive approaches for sequence modeling. Examples of such architectures include state-space models (SSMs) like S4, LRU, and Mamba:…

Machine Learning · Computer Science 2024-06-06 Antonio Orvieto , Soham De , Caglar Gulcehre , Razvan Pascanu , Samuel L. Smith

Constraint solving is an elementary way for verification of deep neural networks (DNN). In the domain of AI safety, a DNN might be modified in its structure and parameters for its repair or attack. For such situations, we propose the…

Artificial Intelligence · Computer Science 2023-02-14 Pengfei Yang , Zhiming Chi , Zongxin Liu , Mengyu Zhao , Cheng-Chao Huang , Shaowei Cai , Lijun Zhang

Deep Neural Networks (DNN) have emerged as an effective approach to tackling real-world problems. However, like human-written software, DNNs are susceptible to bugs and attacks. This has generated significant interests in developing…

Machine Learning · Computer Science 2024-01-29 Hai Duong , Dong Xu , ThanhVu Nguyen , Matthew B. Dwyer

In this article, we focus on extending the notion of lattice linearity to self-stabilizing programs. Lattice linearity allows a node to execute its actions with old information about the state of other nodes and still preserve correctness.…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-10-19 Arya Tanmay Gupta , Sandeep S Kulkarni

The need to model and analyse dynamic systems operating over complex data is ubiquitous in AI and neighboring areas, in particular business process management. Analysing such data-aware systems is a notoriously difficult problem, as they…

Logic in Computer Science · Computer Science 2023-10-20 Alessandro Gianola , Marco Montali , Sarah Winkler

In the signal processing and statistics literature, the minimum description length (MDL) principle is a popular tool for choosing model complexity. Successful examples include signal denoising and variable selection in linear regression,…

Signal Processing · Electrical Eng. & Systems 2022-01-28 Zhenyu Wei , Raymond K. W. Wong , Thomas C. M. Lee

Efficiency is essential to support responsiveness w.r.t. ever-growing datasets, especially for Deep Learning (DL) systems. DL frameworks have traditionally embraced deferred execution-style DL code that supports symbolic, graph-based Deep…

Software Engineering · Computer Science 2022-07-20 Tatiana Castro Vélez , Raffi Khatchadourian , Mehdi Bagherzadeh , Anita Raja

In this work, we address the problem of determining reliable policies in reinforcement learning (RL), with a focus on optimization under uncertainty and the need for performance guarantees. While classical RL algorithms aim at maximizing…

Machine Learning · Computer Science 2025-10-22 Nadir Farhi

Linear Temporal Logic (LTL) is the standard specification language for reactive systems and is successfully applied in industrial settings. However, many shortcomings of LTL have been identified in the literature, among them the limited…

Logic in Computer Science · Computer Science 2021-04-30 Daniel Neider , Alexander Weinert , Martin Zimmermann

Research on control using models based on machine-learning methods has now shifted to the practical engineering stage. Achieving high performance and theoretically guaranteeing the safety of the system is critical for such applications. In…

Systems and Control · Electrical Eng. & Systems 2025-01-28 Ryuta Moriyasu , Masayuki Kusunoki , Kenji Kashima

The emergence of Deep Neural Networks (DNNs) in mission- and safety-critical applications brings their reliability to the front. High performance demands of DNNs require the use of specialized hardware accelerators. Systolic array…

Hardware Architecture · Computer Science 2025-11-05 Natalia Cherezova , Artur Jutman , Maksim Jenihhin

Existing literature in Continual Learning (CL) has focused on overcoming catastrophic forgetting, the inability of the learner to recall how to perform tasks observed in the past. There are however other desirable properties of a CL system,…

Machine Learning · Computer Science 2021-02-15 Tom Veniat , Ludovic Denoyer , Marc'Aurelio Ranzato

Deep learning (DL) systems are increasingly applied to safety-critical domains such as autonomous driving cars. It is of significant importance to ensure the reliability and robustness of DL systems. Existing testing methodologies always…

Software Engineering · Computer Science 2018-08-29 Jianmin Guo , Yu Jiang , Yue Zhao , Quan Chen , Jiaguang Sun

While most approaches in formal methods address system correctness, ensuring robustness has remained a challenge. In this paper we present and study the logic rLTL which provides a means to formally reason about both correctness and…

Logic in Computer Science · Computer Science 2022-01-20 Tzanis Anevlavis , Matthew Philippe , Daniel Neider , Paulo Tabuada

Persistent memory provides high-performance data persistence at main memory. Memory writes need to be performed in strict order to satisfy storage consistency requirements and enable correct recovery from system crashes. Unfortunately,…

Hardware Architecture · Computer Science 2017-05-11 Youyou Lu , Jiwu Shu , Long Sun , Onur Mutlu

Previous work has attempted to boost Large Language Model (LLM) performance on planning and scheduling tasks through a variety of prompt engineering techniques. While these methods can work within the distributions tested, they are neither…

Computation and Language · Computer Science 2024-11-25 Atharva Gundawar , Karthik Valmeekam , Mudit Verma , Subbarao Kambhampati
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