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This article reviews and evaluates models of network evolution based on the notion of structural diversity. We show that diversity is an underlying theme of three principles of network evolution: the preferential attachment model,…

Social and Information Networks · Computer Science 2020-09-22 Jérôme Kunegis

In systems which exhibit deterministic diffusion, the gross parameter dependence of the diffusion coefficient can often be understood in terms of random walk models. Provided the decay of correlations is fast enough, one can ignore memory…

Chaotic Dynamics · Physics 2013-02-07 Thomas Gilbert , David P. Sanders

First-order optimization methods have attracted a lot of attention due to their practical success in many applications, including in machine learning. Obtaining convergence guarantees and worst-case performance certificates for first-order…

Optimization and Control · Mathematics 2023-10-04 Baptiste Goujaud , Aymeric Dieuleveut , Adrien Taylor

Using an optimization algorithm to solve a machine learning problem is one of mainstreams in the field of science. In this work, we demonstrate a comprehensive comparison of some state-of-the-art first-order optimization algorithms for…

Machine Learning · Computer Science 2014-04-29 Yu Wei , Pock Thomas

Persistent Memory (PM) is a new storage technology thatbrings high performance, byte addressability, and persistency for a lesser cost than DRAM. Due to cache volatility and store reordering, developers must use explicit instructions (e.g.:…

Emerging Technologies · Computer Science 2026-03-03 Sebastião Amaro , João Gonçalves , Miguel Matos

The study of concurrent persistent programs has seen a surge of activity in recent years due to the introduction of non-volatile random access memories (NVRAM), yielding many models and correctness notions that are difficult to compare. In…

Distributed, Parallel, and Cluster Computing · Computer Science 2022-08-24 Naama Ben-David , Michal Friedman , Yuanhao Wei

We give a rigorous characterization of what it means for a programming language to be memory safe, capturing the intuition that memory safety supports local reasoning about state. We formalize this principle in two ways. First, we show how…

Programming Languages · Computer Science 2018-04-10 Arthur Azevedo de Amorim , Catalin Hritcu , Benjamin C. Pierce

For many stochastic dynamic systems, the Mean First Passage Time (MFPT) is a useful concept, which gives expected time before a state of interest. This work is an extension of MFPT in several ways. (1) We show that for some systems the…

Systems and Control · Computer Science 2014-12-23 Cenk Oguz Saglam , Katie Byl

On a variety of tasks, the performance of neural networks predictably improves with training time, dataset size and model size across many orders of magnitude. This phenomenon is known as a neural scaling law. Of fundamental importance is…

Machine Learning · Statistics 2024-06-25 Blake Bordelon , Alexander Atanasov , Cengiz Pehlevan

Humans can learn in a continuous manner. Old rarely utilized knowledge can be overwritten by new incoming information while important, frequently used knowledge is prevented from being erased. In artificial learning systems, lifelong…

Computer Vision and Pattern Recognition · Computer Science 2018-10-08 Rahaf Aljundi , Francesca Babiloni , Mohamed Elhoseiny , Marcus Rohrbach , Tinne Tuytelaars

Reason and inference require process as well as memory skills by humans. Neural networks are able to process tasks like image recognition (better than humans) but in memory aspects are still limited (by attention mechanism, size). Recurrent…

Machine Learning · Computer Science 2017-03-03 Amit Sahu

Next-generation supercomputers will feature more hierarchical and heterogeneous memory systems with different memory technologies working side-by-side. A critical question is whether at large scale existing HPC applications and emerging…

Distributed, Parallel, and Cluster Computing · Computer Science 2017-04-27 Ivy Bo Peng , Stefano Markidis , Erwin Laure , Gokcen Kestor , Roberto Gioiosa

Associative memory, traditionally modeled by Hopfield networks, enables the retrieval of previously stored patterns from partial or noisy cues. Yet, the local computational principles which are required to enable this function remain…

We provide a denotational semantics for first-order logic that captures the two-level view of the computation process typical for constraint programming. At one level we have the usual program execution. At the other level an automatic…

Logic in Computer Science · Computer Science 2007-05-23 K. R. Apt , C. F. M. Vermeulen

The accuracies for many pattern recognition tasks have increased rapidly year by year, achieving or even outperforming human performance. From the perspective of accuracy, pattern recognition seems to be a nearly-solved problem. However,…

Computer Vision and Pattern Recognition · Computer Science 2020-06-15 Xu-Yao Zhang , Cheng-Lin Liu , Ching Y. Suen

Nowadays, we have witnessed the great success of AI in various applications, including image classification, game playing, protein structure analysis, language translation, and content generation. Despite these powerful applications, there…

Neurons and Cognition · Quantitative Biology 2023-01-23 Luyao Chen , Zhiqiang Chen , Longsheng Jiang , Xiang Liu , Linlu Xu , Bo Zhang , Xiaolong Zou , Jinying Gao , Yu Zhu , Xizi Gong , Shan Yu , Sen Song , Liangyi Chen , Fang Fang , Si Wu , Jia Liu

What properties of a first-order search space support/hinder inference? What kinds of facts would be most effective to learn? Answering these questions is essential for understanding the dynamics of deductive reasoning and creating…

Artificial Intelligence · Computer Science 2025-02-04 Abhishek Sharma

The robustness of complex networks was one of the first phenomena studied after the inception of network science. However, many contemporary presentations of this theory do not go beyond the original papers. Here we revisit this topic with…

Physics and Society · Physics 2022-02-17 Thilo Gross , Laura Barth

Simulating a shared register can mask the intricacies of designing algorithms for asynchronous message-passing systems subject to crash failures, since it allows them to run algorithms designed for the simpler shared-memory model. Typically…

Distributed, Parallel, and Cluster Computing · Computer Science 2017-08-11 Hagit Attiya , Hyun Chul Chung , Faith Ellen , Saptaparni Kumar , Jennifer L. Welch

Resilience is a major design goal for HPC. Checkpoint is the most common method to enable resilient HPC. Checkpoint periodically saves critical data objects to non-volatile storage to enable data persistence. However, using checkpoint, we…

Distributed, Parallel, and Cluster Computing · Computer Science 2017-05-03 Yingchao Huang , Kai Wu , Dong Li