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Neural network models are one of the most successful approaches to machine learning, enjoying an enormous amount of development and research over recent years and finding concrete real-world applications in almost any conceivable area of…

Mathematical Physics · Physics 2023-06-06 Nicholas P Baskerville

This paper proposes a state-of-the-art recurrent neural network (RNN) language model that combines probability distributions computed not only from a final RNN layer but also from middle layers. Our proposed method raises the expressive…

Computation and Language · Computer Science 2018-09-03 Sho Takase , Jun Suzuki , Masaaki Nagata

As the core component of Natural Language Processing (NLP) system, Language Model (LM) can provide word representation and probability indication of word sequences. Neural Network Language Models (NNLMs) overcome the curse of dimensionality…

Computation and Language · Computer Science 2019-06-14 Kun Jing , Jungang Xu

In this note we consider a new variant of network of splicing processors which simplifies the general model such that filters remain associated with nodes but the input and output filters of every node coincide. This variant is called {\it…

Formal Languages and Automata Theory · Computer Science 2019-09-10 Victor Mitrana , Mihaela Păun , Jose Angel Sanchez Martin , Jose Ramon Sanchez Couso

Streamflow, as a natural phenomenon, is continuous in time and so are the meteorological variables which influence its variability. In practice, it can be of interest to forecast the whole flow curve instead of points (daily or hourly). To…

Applications · Statistics 2016-10-20 Pierre Masselot , Sophie Dabo-Niang , Fateh Chebana , Taha B. M. J. Ouarda

The use of complex networks as a modern approach to understanding the world and its dynamics is well-established in literature. The adjacency matrix, which provides a one-to-one representation of a complex network, can also yield several…

Social and Information Networks · Computer Science 2023-01-23 Mariane B. Neiva , Odemir M. Bruno

We present a generative model that is defined on finite sets of exchangeable, potentially high dimensional, data. As the architecture is an extension of RealNVPs, it inherits all its favorable properties, such as being invertible and…

Machine Learning · Computer Science 2019-09-09 Kashif Rasul , Ingmar Schuster , Roland Vollgraf , Urs Bergmann

It is well known that building analytical performance models in practice is difficult because it requires a considerable degree of proficiency in the underlying mathematics. In this paper, we propose a machine-learning approach to derive…

Performance · Computer Science 2020-02-26 Giulio Garbi , Emilio Incerto , Mirco Tribastone

We propose Token Turing Machines (TTM), a sequential, autoregressive Transformer model with memory for real-world sequential visual understanding. Our model is inspired by the seminal Neural Turing Machine, and has an external memory…

Tangle machines are topologically inspired diagrammatic models. Their novel feature is their natural notion of equivalence. Equivalent tangle machines may differ locally, but globally they are considered to share the same information…

Information Theory · Computer Science 2015-06-25 Avishy Y. Carmi , Daniel Moskovich

This paper aims to interpret the mechanism of feedforward ReLU networks by exploring their solutions for piecewise linear functions, through the deduction from basic rules. The constructed solution should be universal enough to explain some…

Machine Learning · Computer Science 2022-11-15 Changcun Huang

We introduce the notion of universal memcomputing machines (UMMs): a class of brain-inspired general-purpose computing machines based on systems with memory, whereby processing and storing of information occur on the same physical location.…

Neural and Evolutionary Computing · Computer Science 2015-12-17 Fabio L. Traversa , Massimiliano Di Ventra

Recently, machine learning has been used in every possible field to leverage its amazing power. For a long time, the net-working and distributed computing system is the key infrastructure to provide efficient computational resource for…

Networking and Internet Architecture · Computer Science 2017-11-17 Mowei Wang , Yong Cui , Xin Wang , Shihan Xiao , Junchen Jiang

It is widely believed that deep neural networks contain layer specialization, wherein neural networks extract hierarchical features representing edges and patterns in shallow layers and complete objects in deeper layers. Unlike common…

Machine Learning · Computer Science 2022-03-04 Avi Schwarzschild , Arjun Gupta , Amin Ghiasi , Micah Goldblum , Tom Goldstein

Universal memcomputing machines (UMMs) [IEEE Trans. Neural Netw. Learn. Syst. 26, 2702 (2015)] represent a novel computational model in which memory (time non-locality) accomplishes both tasks of storing and processing of information. UMMs…

Neural and Evolutionary Computing · Computer Science 2019-05-29 Yan Ru Pei , Fabio L. Traversa , Massimiliano Di Ventra

We develop a theoretical analysis for special neural network architectures, termed operator recurrent neural networks, for approximating nonlinear functions whose inputs are linear operators. Such functions commonly arise in solution…

Optimization and Control · Mathematics 2022-01-05 Maarten V. de Hoop , Matti Lassas , Christopher A. Wong

We characterise the computational power of recurrent graph neural networks (GNNs) in terms of arithmetic circuits over the real numbers. Our networks are not restricted to aggregate-combine GNNs or other particular types. Generalising…

Computational Complexity · Computer Science 2026-05-05 Timon Barlag , Vivian Holzapfel , Laura Strieker , Jonni Virtema , Heribert Vollmer

Recently, Neural Networks have been proven extremely effective in many natural language processing tasks such as sentiment analysis, question answering, or machine translation. Aiming to exploit such advantages in the Ontology Learning…

Computation and Language · Computer Science 2016-07-15 Giulio Petrucci , Chiara Ghidini , Marco Rospocher

Normalizing flows model complex probability distributions using maps obtained by composing invertible layers. Special linear layers such as masked and 1x1 convolutions play a key role in existing architectures because they increase…

Machine Learning · Computer Science 2022-09-29 Chenlin Meng , Linqi Zhou , Kristy Choi , Tri Dao , Stefano Ermon

We present a continuous formulation of machine learning, as a problem in the calculus of variations and differential-integral equations, in the spirit of classical numerical analysis. We demonstrate that conventional machine learning models…

Numerical Analysis · Mathematics 2020-10-02 Weinan E , Chao Ma , Lei Wu
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