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The emergence of accurate open large language models (LLMs) has led to a race towards performant quantization techniques which can enable their execution on end-user devices. In this paper, we revisit the problem of "extreme" LLM…

Machine Learning · Computer Science 2024-09-12 Vage Egiazarian , Andrei Panferov , Denis Kuznedelev , Elias Frantar , Artem Babenko , Dan Alistarh

Large Language Models (LLMs) have shown an impressive capability in code generation. The LLM effectiveness generally increases with its size: The higher the number of LLM's trainable parameters the better its ability to implement code.…

Software Engineering · Computer Science 2026-01-28 Alessandro Giagnorio , Antonio Mastropaolo , Saima Afrin , Massimiliano Di Penta , Gabriele Bavota

Although Deep Convolutional Neural Networks (CNNs) have liberated their power in various computer vision tasks, the most important components of CNN, convolutional layers and fully connected layers, are still limited to linear…

Computer Vision and Pattern Recognition · Computer Science 2017-09-05 Yanghao Li , Naiyan Wang , Jiaying Liu , Xiaodi Hou

Multiresolution Matrix Factorization (MMF) is unusual amongst fast matrix factorization algorithms in that it does not make a low rank assumption. This makes MMF especially well suited to modeling certain types of graphs with complex…

Machine Learning · Computer Science 2024-08-20 Truong Son Hy , Thieu Khang , Risi Kondor

Channel estimation and beamforming play critical roles in frequency-division duplexing (FDD) massive multiple-input multiple-output (MIMO) systems. However, these two modules have been treated as two stand-alone components, which makes it…

Signal Processing · Electrical Eng. & Systems 2021-08-04 Yifan Ma , Yifei Shen , Xianghao Yu , Jun Zhang , S. H. Song , Khaled B. Letaief

Boolean matrix factorization (BMF) approximates a given binary input matrix as the product of two smaller binary factors. As opposed to binary matrix factorization which uses standard arithmetic, BMF uses the Boolean OR and Boolean AND…

Optimization and Control · Mathematics 2023-05-18 Christos Kolomvakis , Arnaud Vandaele , Nicolas Gillis

The goal of Boolean Matrix Factorization (BMF) is to approximate a given binary matrix as the product of two low-rank binary factor matrices, where the product of the factor matrices is computed under the Boolean algebra. While the problem…

Machine Learning · Computer Science 2020-12-08 Pauli Miettinen , Stefan Neumann

We investigate the advantages of high-dimensional encoding for a quantum key distribution protocol. In particular, we address a BBM92-like protocol where the dimension of the systems can be larger than two and more than two mutually…

Quantum Physics · Physics 2026-04-21 Nikolai Wyderka , Giovanni Chesi , Hermann Kampermann , Chiara Macchiavello , Dagmar Bruß

Efficient model inference is an important and practical issue in the deployment of deep neural network on resource constraint platforms. Network quantization addresses this problem effectively by leveraging low-bit representation and…

Computer Vision and Pattern Recognition · Computer Science 2020-01-01 Tianshu Chu , Qin Luo , Jie Yang , Xiaolin Huang

Large language models (LLMs) have significantly advanced the natural language processing paradigm but impose substantial demands on memory and computational resources. Quantization is one of the most effective ways to reduce memory…

Machine Learning · Computer Science 2025-04-29 Xilong Xie , Liang Wang , Limin Xiao , Meng Han , Lin Sun , Shuai Zheng , Xiangrong Xu

Quantization has emerged as a mainstream approach for deploying Large Language Models (LLMs) on resource-constrained devices, yet compressing precision below 4-bit typically causes severe performance degradation or prohibitive retraining…

Machine Learning · Computer Science 2026-05-22 Shu-Hao Zhang , Le-Tong Huang , Xiang-Sheng Deng , Xin-Yi Zou , Chen Wu , Nan Li , Shao-Qun Zhang , Zhi-Hua Zhou

Large language models (LLMs) exhibit exceptional performance across a wide range of tasks; however, their token-by-token autoregressive generation process significantly hinders inference speed. Speculative decoding presents a promising…

Computation and Language · Computer Science 2025-03-04 Kai Lv , Honglin Guo , Qipeng Guo , Xipeng Qiu

We present a simple meta quantization approach that quantizes different layers of a large language model (LLM) at different bit levels, and is independent of the underlying quantization technique. Specifically, we quantize the most…

Computation and Language · Computer Science 2024-10-29 Razvan-Gabriel Dumitru , Vikas Yadav , Rishabh Maheshwary , Paul-Ioan Clotan , Sathwik Tejaswi Madhusudhan , Mihai Surdeanu

Deep Nonnegative Matrix Factorization (deep NMF) has recently emerged as a valuable technique for extracting multiple layers of features across different scales. However, all existing deep NMF models and algorithms have primarily centered…

Machine Learning · Computer Science 2025-01-10 Valentin Leplat , Le Thi Khanh Hien , Akwum Onwunta , Nicolas Gillis

Bayesian matrix factorization (BMF) is a powerful tool for producing low-rank representations of matrices and for predicting missing values and providing confidence intervals. Scaling up the posterior inference for massive-scale matrices is…

Machine Learning · Statistics 2019-02-28 Xiangju Qin , Paul Blomstedt , Eemeli Leppäaho , Pekka Parviainen , Samuel Kaski

We introduce HBLLM, a wavelet-enhanced high-fidelity $1$-bit post-training quantization method for Large Language Models (LLMs). By leveraging Haar wavelet transforms to enhance expressive capacity through frequency decomposition, HBLLM…

Machine Learning · Computer Science 2025-12-15 Ningning Chen , Weicai Ye , Ying Jiang

Extreme multi-label (XML) classification refers to the task of supervised multi-label learning that involves a large number of labels. Hence, scalability of the classifier with increasing label dimension is an important consideration. In…

Machine Learning · Computer Science 2023-04-24 Istasis Mishra , Arpan Dasgupta , Pratik Jawanpuria , Bamdev Mishra , Pawan Kumar

Large language models (LLMs) have wide applications in the field of natural language processing(NLP), such as GPT-4 and Llama. However, with the exponential growth of model parameter sizes, LLMs bring significant resource overheads. Low-bit…

Computation and Language · Computer Science 2025-02-27 Liangdong Liu , Zhitong Zheng , Cong Wang , Tianhuang Su , Zhenyu Yang

Constrained low-rank matrix approximations have been known for decades as powerful linear dimensionality reduction techniques to be able to extract the information contained in large data sets in a relevant way. However, such low-rank…

Machine Learning · Computer Science 2021-12-20 Pierre De Handschutter , Nicolas Gillis , Xavier Siebert

Full Duplex (FD) communication can revolutionize wireless communications as it avoids using independent channels for bi-directional communications. This work generalizes the point-to-point FD communication in millimeter wave (mmWave) band…

Information Theory · Computer Science 2022-01-06 Chandan Kumar Sheemar , Dirk Slock
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