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The deployment of Large Language Models (LLMs) on edge devices is fundamentally constrained by the "Memory Wall" -- a hardware limitation where memory bandwidth, not compute, becomes the bottleneck. Recent 1.58-bit quantization techniques…

Machine Learning · Computer Science 2026-02-06 David Alejandro Trejo Pizzo

We prove that the classic logarithmic barrier problem is equivalent to a particular logarithmic barrier positive relaxation problem with barrier and scaling parameters. Based on the equivalence, a line-search primal-dual interior-point…

Optimization and Control · Mathematics 2018-07-10 Xin-Wei Liu , Yu-Hong Dai

Learning-based systems are increasingly deployed across various domains, yet the complexity of traditional neural networks poses significant challenges for formal verification. Unlike conventional neural networks, learned Logic Gate…

Machine Learning · Computer Science 2025-09-30 Fabian Kresse , Emily Yu , Christoph H. Lampert , Thomas A. Henzinger

With the development of convolution neural network, more and more researchers focus their attention on the advantage of CNN for face recognition task. In this paper, we propose a deep convolution network for learning a robust face…

Computer Vision and Pattern Recognition · Computer Science 2015-07-20 Xiang Wu

In this paper we generalize N-fold integer programs and two-stage integer programs with N scenarios to N-fold 4-block decomposable integer programs. We show that for fixed blocks but variable N, these integer programs are polynomial-time…

Optimization and Control · Mathematics 2015-05-14 Raymond Hemmecke , Matthias Köppe , Robert Weismantel

Learned Differentiable Boolean Logic Networks (DBNs) already deliver efficient inference on resource-constrained hardware. We extend them with a trainable, differentiable interconnect whose parameter count remains constant as input width…

Machine Learning · Computer Science 2025-09-19 Fabian Kresse , Emily Yu , Christoph H. Lampert

Standard softmax self-attention excels in vision tasks but incurs quadratic complexity O(N^2), limiting high-resolution deployment. Linear attention reduces the cost to O(N), yet its compressed state representations can impair modeling…

Computer Vision and Pattern Recognition · Computer Science 2026-01-19 Ruibang Li , Guan Luo , Yiwei Zhang , Jin Gao , Bing Li , Weiming Hu

Transformers have shown remarkable performance in both natural language processing (NLP) and computer vision (CV) tasks. However, their real-time inference speed and efficiency are limited due to the inefficiency in Softmax and Layer…

Machine Learning · Computer Science 2025-10-21 Wenxun Wang , Shuchang Zhou , Wenyu Sun , Peiqin Sun , Yongpan Liu

The Forward-Forward algorithm eliminates global gradient flow and full network activations storage. However, in convolutional settings, existing BP-free FF methods significantly under-perform backpropagation on complex benchmarks such as…

Machine Learning · Computer Science 2026-05-07 Xiaoyi Jiang , Bashir M. Al-Hashimi , Kai Xu

We present the first computationally-efficient algorithm for average-case learning of shallow quantum circuits with many-qubit gates. Specifically, we provide a quasi-polynomial time and sample complexity algorithm for learning unknown…

Quantum Physics · Physics 2025-06-11 Francisca Vasconcelos , Hsin-Yuan Huang

We consider the problem of the variational quantum circuit synthesis into a gate set consisting of the CNOT gate and arbitrary single-qubit (1q) gates with the primary target being the minimization of the CNOT count. First we note that…

Quantum Physics · Physics 2023-05-10 Nikita A. Nemkov , Evgeniy O. Kiktenko , Ilia A. Luchnikov , Aleksey K. Fedorov

Quantum random access memories (QRAMs) are pivotal for data-intensive quantum algorithms, but existing general-purpose and domain-specific architectures are hampered by a critical bottleneck: a heavy reliance on non-Clifford gates (e.g.,…

Quantum Physics · Physics 2025-10-07 Guangyi Li , Yu Gan , Zeguan Wu , Xueyue Zhang , Zheshen Zhang , Junyu Liu

Despite strong performance on vision-language tasks, Multimodal Large Language Models (MLLMs) struggle with mathematical problem-solving, with both open-source and state-of-the-art models falling short of human performance on visual-math…

Computer Vision and Pattern Recognition · Computer Science 2025-08-26 William Rudman , Michal Golovanevsky , Amir Bar , Vedant Palit , Yann LeCun , Carsten Eickhoff , Ritambhara Singh

MXFP4 arithmetic can dramatically accelerate reinforcement learning (RL) post-training of large language models (LLMs), yet the quantization error introduces severe accuracy degradation. Existing work treats the quantization error as a…

Machine Learning · Computer Science 2026-05-25 Xiaocan Li , Shiliang Wu , Zheng Shen

The softmax function is a widely used activation function in the output layers of neural networks, responsible for converting raw scores into class probabilities while introducing essential non-linearity. Implementing Softmax efficiently…

We study the implementation of fault-tolerant logical Clifford gates on stabilizer quantum error correcting codes based on their symmetries. Our approach is to map the stabilizer code to a binary linear code, compute its automorphism group,…

Quantum Physics · Physics 2025-05-12 Hasan Sayginel , Stergios Koutsioumpas , Mark Webster , Abhishek Rajput , Dan E Browne

This paper presents a deep learning-based de-homogenization method for structural compliance minimization. By using a convolutional neural network to parameterize the mapping from a set of lamination parameters on a coarse mesh to a…

Machine Learning · Computer Science 2021-11-03 Martin O. Elingaard , Niels Aage , J. Andreas Bærentzen , Ole Sigmund

Covariance matrices of noisy multichannel electroencephalogram time series data are hard to estimate due to high dimensionality. In brain-computer interfaces (BCI) based on event-related potentials and a linear discriminant analysis (LDA)…

Machine Learning · Computer Science 2022-02-17 Jan Sosulski , Michael Tangermann

Training large language models using 4-bit arithmetic enhances throughput and memory efficiency. Yet, the limited dynamic range of FP4 increases sensitivity to outliers. While NVFP4 mitigates quantization error via hierarchical…

We develop a computation model for solving Boolean networks by implementing wires through quantum ground-mode computation and gates through identities following from angular momentum algebra and statistics. Gates are represented by…

Quantum Physics · Physics 2007-05-23 Giuseppe Castagnoli , David Ritz Finkelstein
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