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We propose a new architecture for optimization modeling frameworks in which solvers are expressed as computation graphs in a framework like TensorFlow rather than as standalone programs built on a low-level linear algebra interface. Our new…

Optimization and Control · Mathematics 2016-10-12 Matt Wytock , Steven Diamond , Felix Heide , Stephen Boyd

We introduce DISTAL, a compiler for dense tensor algebra that targets modern distributed and heterogeneous systems. DISTAL lets users independently describe how tensors and computation map onto target machines through separate format and…

Programming Languages · Computer Science 2022-03-18 Rohan Yadav , Alex Aiken , Fredrik Kjolstad

Natural language processing for programming aims to use NLP techniques to assist programming. It is increasingly prevalent for its effectiveness in improving productivity. Distinct from natural language, a programming language is highly…

Computation and Language · Computer Science 2023-08-08 Qingfu Zhu , Xianzhen Luo , Fang Liu , Cuiyun Gao , Wanxiang Che

Reasoning on large and complex real-world models is a computationally difficult task, yet one that is required for effective use of many AI applications. A plethora of inference algorithms have been developed that work well on specific…

Artificial Intelligence · Computer Science 2016-06-13 Avi Pfeffer , Brian Ruttenberg , William Kretschmer

Structure editors operate directly on a program's syntactic tree structure. At first glance, this allows for the exciting possibility that such an editor could enforce correctness properties: programs could be well-formed and sometimes even…

Programming Languages · Computer Science 2024-11-27 Jacob Prinz , Henry Blanchette , Leonidas Lampropoulos

Recent advances in convolutional neural networks(CNNs) usually come with the expense of excessive computational overhead and memory footprint. Network compression aims to alleviate this issue by training compact models with comparable…

Computer Vision and Pattern Recognition · Computer Science 2021-05-17 Xin-Yu Zhang , Kai Zhao , Taihong Xiao , Ming-Ming Cheng , Ming-Hsuan Yang

Federated learning and analytics are often described as collections of separate protocols, even when they share the same mathematical form: client-local tensor computation, mergeable aggregation into shared state, and shared-only…

High-dimensional data arise naturally in many areas of science and engineering, including machine learning, signal processing, computational physics, and statistics. Such data are often represented as tensors, multi-dimensional…

Machine Learning · Computer Science 2026-05-19 Beheshteh T. Rakhshan , Guillaume Rabusseau

Tensor sparse modeling as a promising approach, in the whole of science and engineering has been a huge success. As is known to all, various data in practical application are often generated by multiple factors, so the use of tensors to…

Computer Vision and Pattern Recognition · Computer Science 2022-07-12 Hongbing Zhang , Xinyi Liu , Hongtao Fan , Yajing Li , Yinlin Ye

Recurrence equations lie at the heart of many computational paradigms including dynamic programming, graph analysis, and linear solvers. These equations are often expensive to compute and much work has gone into optimizing them for…

Programming Languages · Computer Science 2023-09-12 Shiv Sundram , Muhammad Usman Tariq , Fredrik Kjolstad

Efficient tensor computation is a cornerstone of modern deep learning (DL) workloads, yet existing approaches struggle to achieve flexible and performant design and implementation of tensor layouts -- mappings between logical tensors and…

High-performance deep learning depends on efficient tensor programs. In recent years, automatic tensor program optimization, also known as tensor compilation, has emerged as the primary approach to generating efficient tensor programs.…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-02-18 Hangda Liu , Boyu Diao , Yu Yang , Wenxin Chen , Xiaohui Peng , Yongjun Xu

Large language models (LLMs) are increasingly used for complex tasks that require multiple generation calls, advanced prompting techniques, control flow, and structured inputs/outputs. However, efficient systems are lacking for programming…

From logical reasoning to mental simulation, biological and artificial neural systems possess an incredible capacity for computation. Such neural computers offer a fundamentally novel computing paradigm by representing data continuously and…

Disordered Systems and Neural Networks · Physics 2022-03-11 Jason Z. Kim , Dani S. Bassett

TensorFlow is a machine learning system that operates at large scale and in heterogeneous environments. TensorFlow uses dataflow graphs to represent computation, shared state, and the operations that mutate that state. It maps the nodes of…

The utilization of Deep Neural Networks (DNNs) in physical science and engineering applications has gained traction due to their capacity to learn intricate functions. While large datasets are crucial for training DNN models in fields like…

Machine Learning · Computer Science 2025-08-05 Vamsi Sai Krishna Malineni , Suresh Rajendran

Despite the omnipresence of tensors and tensor operations in modern deep learning, the use of tensor mathematics to formally design and describe neural networks is still under-explored within the deep learning community. To this end, we…

Machine Learning · Computer Science 2023-03-27 Yao Lei Xu , Kriton Konstantinidis , Danilo P. Mandic

Progress in AI is hindered by the lack of a programming language with all the requisite features. Libraries like PyTorch and TensorFlow provide automatic differentiation and efficient GPU implementation, but are additions to Python, which…

Artificial Intelligence · Computer Science 2025-10-17 Pedro Domingos

We present the Fourier-Invertible Neural Encoder (FINE), a compact and interpretable architecture for dimension reduction in translation-equivariant datasets. FINE integrates reversible filters and monotonic activation functions with a…

Machine Learning · Computer Science 2025-12-02 Anqiao Ouyang , Hongyi Ke , Qi Wang

Tensors (also commonly seen as multi-linear operators or as multi-dimensional arrays) are ubiquitous in scientific computing and in data science, and so are the software efforts for tensor operations. Particularly in recent years, we have…

Mathematical Software · Computer Science 2022-06-30 Christos Psarras , Lars Karlsson , Jiajia Li , Paolo Bientinesi
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