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Networked urban systems facilitate the flow of people, resources, and services, and are essential for economic and social interactions. These systems often involve complex processes with unknown governing rules, observed by sensor-based…

Machine Learning · Computer Science 2025-08-04 Tong Nie , Jian Sun , Wei Ma

Embedding layers in transformer-based NLP models typically account for the largest share of model parameters, scaling with vocabulary size but not yielding performance gains proportional to scale. We propose an alternative approach in which…

Computation and Language · Computer Science 2025-05-06 Henry Ndubuaku , Mouad Talhi

Sequential decision-making algorithms such as reinforcement learning (RL) in real-world scenarios inevitably face environments with partial observability. This paper scrutinizes the effectiveness of a popular architecture, namely…

Machine Learning · Computer Science 2024-05-31 Chenhao Lu , Ruizhe Shi , Yuyao Liu , Kaizhe Hu , Simon S. Du , Huazhe Xu

Modeling the dynamics of cellular differentiation is fundamental to advancing the understanding and treatment of diseases associated with this process, such as cancer. With the rapid growth of single-cell datasets, this has also become a…

What is the computational model behind a Transformer? Where recurrent neural networks have direct parallels in finite state machines, allowing clear discussion and thought around architecture variants or trained models, Transformers have no…

Machine Learning · Computer Science 2021-07-20 Gail Weiss , Yoav Goldberg , Eran Yahav

Addressing the resource waste caused by fixed computation paradigms in deep learning models under dynamic scenarios, this paper proposes a Transformer$^{-1}$ architecture based on the principle of deep adaptivity. This architecture achieves…

Machine Learning · Computer Science 2025-01-29 Lumen AI , Tengzhou No. 1 Middle School , Shihao Ji , Zihui Song , Fucheng Zhong , Jisen Jia , Zhaobo Wu , Zheyi Cao , Xu Tianhao

Operator learning has emerged as a promising tool for accelerating the solution of partial differential equations (PDEs). The Deep Operator Networks (DeepONets) represent a pioneering framework in this area: the "vanilla" DeepONet is valued…

Machine Learning · Computer Science 2025-09-03 Zhi-Feng Wei , Wenqian Chen , Panos Stinis

Mathematical reasoning is one of the most impressive achievements of human intellect but remains a formidable challenge for artificial intelligence systems. In this work we explore whether modern deep learning architectures can learn to…

Machine Learning · Computer Science 2022-07-07 Samuel Cognolato , Alberto Testolin

Open-world instance segmentation is a rising task, which aims to segment all objects in the image by learning from a limited number of base-category objects. This task is challenging, as the number of unseen categories could be hundreds of…

Computer Vision and Pattern Recognition · Computer Science 2023-08-09 Jiannan Wu , Yi Jiang , Bin Yan , Huchuan Lu , Zehuan Yuan , Ping Luo

Transformer-based encoder-decoder models produce a fused token-wise representation after every encoder layer. We investigate the effects of allowing the encoder to preserve and explore alternative hypotheses, combined at the end of the…

Computation and Language · Computer Science 2021-07-23 Mikhail Burtsev , Anna Rumshisky

Syntactic parsing using dependency structures has become a standard technique in natural language processing with many different parsing models, in particular data-driven models that can be trained on syntactically annotated corpora. In…

Computation and Language · Computer Science 2020-01-30 Rahul Radhakrishnan Iyer , Miguel Ballesteros , Chris Dyer , Robert Frederking

Transformer-based neural networks have achieved state-of-the-art task performance in a number of machine learning domains including natural language processing and computer vision. To further improve their accuracy, recent work has explored…

Machine Learning · Computer Science 2022-09-01 Salar Latifi , Saurav Muralidharan , Michael Garland

Transformer models achieve remarkable success in Neural Machine Translation. Many efforts have been devoted to deepening the Transformer by stacking several units (i.e., a combination of Multihead Attentions and FFN) in a cascade, while the…

Computation and Language · Computer Science 2020-10-26 Jianhao Yan , Fandong Meng , Jie Zhou

Transformer is the state-of-the-art model in recent machine translation evaluations. Two strands of research are promising to improve models of this kind: the first uses wide networks (a.k.a. Transformer-Big) and has been the de facto…

Computation and Language · Computer Science 2019-06-06 Qiang Wang , Bei Li , Tong Xiao , Jingbo Zhu , Changliang Li , Derek F. Wong , Lidia S. Chao

While conventional Transformers generally operate on sequence data, they can be used in conjunction with structure models, typically SE(3)-invariant or equivariant graph neural networks (GNNs), for 3D applications such as protein structure…

Machine Learning · Computer Science 2025-08-04 Isaac Ellmen , Constantin Schneider , Matthew I. J. Raybould , Charlotte M. Deane

Operator learning aims to discover properties of an underlying dynamical system or partial differential equation (PDE) from data. Here, we present a step-by-step guide to operator learning. We explain the types of problems and PDEs amenable…

Numerical Analysis · Mathematics 2025-04-30 Nicolas Boullé , Alex Townsend

Transformers have become the de-facto standard in the natural language processing (NLP) field. They have also gained momentum in computer vision and other domains. Transformers can enable artificial intelligence (AI) models to dynamically…

Machine Learning · Computer Science 2021-11-09 Liya Wang , Amy Mykityshyn , Craig Johnson , Jillian Cheng

The increasing complexity of large-scale language models has amplified concerns regarding their interpretability and reusability. While traditional embedding models like Word2Vec and GloVe offer scalability, they lack transparency and often…

Machine Learning · Computer Science 2025-05-23 Ahmed K. Kadhim , Lei Jiao , Rishad Shafik , Ole-Christoffer Granmo

We introduce a novel architecture and computational framework for formal, automated analysis of systems with a broad set of nonlinearities in the feedback loop, such as neural networks, vision controllers, switched systems, and even simple…

Optimization and Control · Mathematics 2018-05-02 Ivan Papusha , Ufuk Topcu , Steven Carr , Niklas Lauffer

The paper presents derivation and interpretation of one type of variable order derivative definitions. For mathematical modelling of considering definition the switching and numerical scheme is given. The paper also introduces a numerical…

Dynamical Systems · Mathematics 2013-04-19 Dominik Sierociuk , Wiktor Malesza , Michal Macias