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We consider the question: what is the abstraction that should be implemented by the computational engine of a machine learning system? Current machine learning systems typically push whole tensors through a series of compute kernels such as…

数据库 · 计算机科学 2021-08-10 Binhang Yuan , Dimitrije Jankov , Jia Zou , Yuxin Tang , Daniel Bourgeois , Chris Jermaine

We introduce Mirage, the first multi-level superoptimizer for tensor programs. A key idea in Mirage is $\mu$Graphs, a uniform representation of tensor programs at the kernel, thread block, and thread levels of the GPU compute hierarchy.…

机器学习 · 计算机科学 2025-06-09 Mengdi Wu , Xinhao Cheng , Shengyu Liu , Chunan Shi , Jianan Ji , Kit Ao , Praveen Velliengiri , Xupeng Miao , Oded Padon , Zhihao Jia

This paper describes a flexible framework for generalized low-rank tensor estimation problems that includes many important instances arising from applications in computational imaging, genomics, and network analysis. The proposed estimator…

统计理论 · 数学 2021-02-08 Rungang Han , Rebecca Willett , Anru R. Zhang

The shift to data-intensive processing from the cloud to the edge has introduced new challenges and expectations for the next generation of intelligent computing systems. As the memory wall continues to grow, modern systems can only meet…

硬件体系结构 · 计算机科学 2026-04-16 Denis Hoornaert , Cole Strickler , Manos Athanassoulis , Marco Caccamo , Heechul Yun , Renato Mancuso

In this era of big data, data analytics and machine learning, it is imperative to find ways to compress large data sets such that intrinsic features necessary for subsequent analysis are not lost. The traditional workhorse for data…

数值分析 · 数学 2020-01-03 Misha Kilmer , Lior Horesh , Haim Avron , Elizabeth Newman

The development of efficient machine learning models for molecular systems representation is becoming crucial in scientific research. We introduce TensorNet, an innovative O(3)-equivariant message-passing neural network architecture that…

机器学习 · 计算机科学 2023-10-31 Guillem Simeon , Gianni de Fabritiis

The last few years have seen gigantic leaps in algorithms and systems to support efficient deep learning inference. Pruning and quantization algorithms can now consistently compress neural networks by an order of magnitude. For a compressed…

机器学习 · 计算机科学 2021-07-22 Ziheng Wang

This paper shows how to optimize sparse tensor algebraic expressions by introducing temporary tensors, called workspaces, into the resulting loop nests. We develop a new intermediate language for tensor operations called concrete index…

数学软件 · 计算机科学 2023-10-18 Fredrik Kjolstad , Willow Ahrens , Shoaib Kamil , Saman Amarasinghe

Personalized recommendations are one of the most widely deployed machine learning (ML) workload serviced from cloud datacenters. As such, architectural solutions for high-performance recommendation inference have recently been the target of…

硬件体系结构 · 计算机科学 2020-10-27 Youngeun Kwon , Yunjae Lee , Minsoo Rhu

Tensor networks (TNs) and neural networks (NNs) are two fundamental data modeling approaches. TNs were introduced to solve the curse of dimensionality in large-scale tensors by converting an exponential number of dimensions to polynomial…

机器学习 · 计算机科学 2025-03-18 Maolin Wang , Yu Pan , Zenglin Xu , Guangxi Li , Xiangli Yang , Danilo Mandic , Andrzej Cichocki

Evolutionary multiobjective optimization has witnessed remarkable progress during the past decades. However, existing algorithms often encounter computational challenges in large-scale scenarios, primarily attributed to the absence of…

神经与进化计算 · 计算机科学 2024-07-23 Zhenyu Liang , Tao Jiang , Kebin Sun , Ran Cheng

This paper introduces the continuous tensor abstraction, allowing indices to take real-number values (for example, A[3.14]). It also presents continuous tensor algebra expressions, such as C(x,y) = A(x,y) * B(x,y), where indices are defined…

编程语言 · 计算机科学 2025-10-23 Jaeyeon Won , Willow Ahrens , Teodoro Fields Collin , Joel S. Emer , Saman Amarasinghe

This paper presents a meta-compilation framework, the MCompiler. The main idea is that different segments of a program can be compiled with different compilers/optimizers and combined into a single executable. The MCompiler can be used in a…

分布式、并行与集群计算 · 计算机科学 2019-05-31 Aniket Shivam , Alexandru Nicolau , Alexander V. Veidenbaum

Many artificial intelligence models process input data of different lengths and resolutions, making the shape of the tensors dynamic. The performance of these models depends on the shape of the tensors, which makes it difficult to optimize…

机器学习 · 计算机科学 2024-08-01 Pengyu Mu , Linquan Wei , Yi Liu , Rui Wang

Heterogeneous deep learning systems (DLS) such as GPUs and ASICs have been widely deployed in industrial data centers, which requires to develop multiple low-level tensor programs for different platforms. An attractive solution to relieve…

Many real-world datasets are represented as tensors, i.e., multi-dimensional arrays of numerical values. Storing them without compression often requires substantial space, which grows exponentially with the order. While many tensor…

机器学习 · 计算机科学 2023-09-21 Taehyung Kwon , Jihoon Ko , Jinhong Jung , Kijung Shin

Advanced compiler technology is crucial for enabling machine learning applications to run on novel hardware, but traditional compilers fail to deliver performance, popular auto-tuners have long search times and expert-optimized libraries…

机器学习 · 计算机科学 2023-11-09 Dejan Grubisic , Bram Wasti , Chris Cummins , John Mellor-Crummey , Aleksandar Zlateski

Sparse tensor networks are commonly used to represent contractions over sparse tensors. Tensor contractions are higher-order analogs of matrix multiplication. Tensor networks arise commonly in many domains of scientific computing and data…

编程语言 · 计算机科学 2024-01-11 Saurabh Raje , Yufan Xu , Atanas Rountev , Edward F. Valeev , Saday Sadayappan

We revisit gradient-based optimization for infinite projected entangled pair states (iPEPS), a tensor network ansatz for simulating many-body quantum systems. This approach is hindered by two major challenges: the high computational cost of…

强关联电子 · 物理学 2026-03-09 Xing-Yu Zhang , Qi Yang , Philippe Corboz , Jutho Haegeman , Wei Tang

It has been demonstrated that specialised architectures, such as FPGAs and AMD's AI Engines (AIEs), have the potential to deliver energy and performance advantages for scientific computing. Given the integration of AIEs into AMD's CPUs,…

分布式、并行与集群计算 · 计算机科学 2026-05-06 Nick Brown , Gabriel Rodriguez-Canal