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Deep Equilibrium Models (DEQs) are an interesting class of implicit model where the model output is implicitly defined as the fixed point of a learned function. These models have been shown to outperform explicit (fixed-depth) models in…

机器学习 · 计算机科学 2025-12-04 Sam McCallum , Kamran Arora , James Foster

We present a new approach to modeling sequential data: the deep equilibrium model (DEQ). Motivated by an observation that the hidden layers of many existing deep sequence models converge towards some fixed point, we propose the DEQ approach…

机器学习 · 计算机科学 2019-10-30 Shaojie Bai , J. Zico Kolter , Vladlen Koltun

Deep Equilibrium Models (DEQs) have emerged as a powerful paradigm in deep learning, offering the ability to model infinite-depth networks with constant memory usage. However, DEQs incur significant inference latency due to the iterative…

机器学习 · 计算机科学 2026-02-04 Junchao Lin , Zenan Ling , Jingwen Xu , Robert C. Qiu

Deep equilibrium models (DEQs) have proven to be very powerful for learning data representations. The idea is to replace traditional (explicit) feedforward neural networks with an implicit fixed-point equation, which allows to decouple the…

机器学习 · 计算机科学 2023-04-25 Bac Nguyen , Lukas Mauch

Deep equilibrium (DEQ) models are widely recognized as a memory efficient alternative to standard neural networks, achieving state-of-the-art performance in language modeling and computer vision tasks. These models solve a fixed point…

机器学习 · 计算机科学 2024-06-25 Mateusz Gabor , Tomasz Piotrowski , Renato L. G. Cavalcante

A deep equilibrium model (DEQ) is implicitly defined through an equilibrium point of an infinite-depth weight-tied model with an input-injection. Instead of infinite computations, it solves an equilibrium point directly with root-finding…

机器学习 · 计算机科学 2023-03-30 Zenan Ling , Xingyu Xie , Qiuhao Wang , Zongpeng Zhang , Zhouchen Lin

The feasibility of variational quantum algorithms, the most popular correspondent of neural networks on noisy, near-term quantum hardware, is highly impacted by the circuit depth of the involved parametrized quantum circuits (PQCs). Higher…

Many tasks in deep learning involve optimizing over the \emph{inputs} to a network to minimize or maximize some objective; examples include optimization over latent spaces in a generative model to match a target image, or adversarially…

机器学习 · 计算机科学 2021-11-29 Swaminathan Gurumurthy , Shaojie Bai , Zachary Manchester , J. Zico Kolter

Deep Equilibrium Models (DEQs) replace a stack of explicit layers with a single operator whose fixed point defines the output, giving the expressive power of an arbitrarily deep network at the memory cost of a single layer. Quantum Deep…

量子物理 · 物理学 2026-05-12 Pengyuan Xu , Tristan Zaborniak , Luis F. Rivera , Hausi A. Müller

We propose a new class of implicit networks, the multiscale deep equilibrium model (MDEQ), suited to large-scale and highly hierarchical pattern recognition domains. An MDEQ directly solves for and backpropagates through the equilibrium…

机器学习 · 计算机科学 2020-11-25 Shaojie Bai , Vladlen Koltun , J. Zico Kolter

Deep equilibrium models (DEQ) have emerged as a powerful alternative to deep unfolding (DU) for image reconstruction. DEQ models-implicit neural networks with effectively infinite number of layers-were shown to achieve state-of-the-art…

图像与视频处理 · 电气工程与系统科学 2022-10-11 Weijie Gan , Chunwei Ying , Parna Eshraghi , Tongyao Wang , Cihat Eldeniz , Yuyang Hu , Jiaming Liu , Yasheng Chen , Hongyu An , Ulugbek S. Kamilov

Diffusion-based generative models are extremely effective in generating high-quality images, with generated samples often surpassing the quality of those produced by other models under several metrics. One distinguishing feature of these…

机器学习 · 计算机科学 2022-10-25 Ashwini Pokle , Zhengyang Geng , Zico Kolter

Deep Equilibrium Models (DEQs) are implicit neural networks with fixed points, which have recently gained attention for learning image regularization functionals, particularly in settings involving Gaussian fidelities, where assumptions on…

最优化与控制 · 数学 2025-11-19 Christian Daniele , Silvia Villa , Samuel Vaiter , Luca Calatroni

Deep equilibrium networks (DEQs) are a new class of models that eschews traditional depth in favor of finding the fixed point of a single nonlinear layer. These models have been shown to achieve performance competitive with the…

机器学习 · 计算机科学 2021-06-29 Shaojie Bai , Vladlen Koltun , J. Zico Kolter

Neural networks with wide layers have attracted significant attention due to their equivalence to Gaussian processes, enabling perfect fitting of training data while maintaining generalization performance, known as benign overfitting.…

机器学习 · 计算机科学 2023-10-18 Tianxiang Gao , Xiaokai Huo , Hailiang Liu , Hongyang Gao

Deep equilibrium networks (DEQs) are a promising way to construct models which trade off memory for compute. However, theoretical understanding of these models is still lacking compared to traditional networks, in part because of the…

机器学习 · 计算机科学 2022-07-20 Atish Agarwala , Samuel S. Schoenholz

Deep Equilibrium Model (DEQ), which serves as a typical implicit neural network, emphasizes their memory efficiency and competitive performance compared to explicit neural networks. However, there has been relatively limited theoretical…

机器学习 · 计算机科学 2024-12-05 Haixiang Sun , Ye Shi

In this study, we introduce a unified neural network architecture, the Deep Equilibrium Density Functional Theory Hamiltonian (DEQH) model, which incorporates Deep Equilibrium Models (DEQs) for predicting Density Functional Theory (DFT)…

机器学习 · 计算机科学 2024-10-10 Zun Wang , Chang Liu , Nianlong Zou , He Zhang , Xinran Wei , Lin Huang , Lijun Wu , Bin Shao

Deep equilibrium models (DEQs) have recently emerged as a powerful paradigm for training infinitely deep weight-tied neural networks that achieve state of the art performance across many modern machine learning tasks. Despite their…

机器学习 · 计算机科学 2026-01-13 Sanjit Dandapanthula , Aaditya Ramdas

Deep equilibrium models (DEQs), as a typical implicit neural network, have demonstrated remarkable success on various tasks. There is, however, a lack of theoretical understanding of the connections and differences between implicit DEQs and…

机器学习 · 计算机科学 2024-05-21 Zenan Ling , Longbo Li , Zhanbo Feng , Yixuan Zhang , Feng Zhou , Robert C. Qiu , Zhenyu Liao
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