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We present a new approach for input optimization of ReLU networks that explicitly takes into account the effect of changes in activation patterns. We analyze local optimization steps in both the input space and the space of activation…

机器学习 · 计算机科学 2024-06-04 Hongzhan Yu , Sicun Gao

The recent rise of privacy concerns has led researchers to devise methods for private neural inference -- where inferences are made directly on encrypted data, never seeing inputs. The primary challenge facing private inference is that…

机器学习 · 计算机科学 2021-06-23 Nandan Kumar Jha , Zahra Ghodsi , Siddharth Garg , Brandon Reagen

The large number of ReLU non-linearity operations in existing deep neural networks makes them ill-suited for latency-efficient private inference (PI). Existing techniques to reduce ReLU operations often involve manual effort and sacrifice…

计算机视觉与模式识别 · 计算机科学 2023-01-24 Souvik Kundu , Shunlin Lu , Yuke Zhang , Jacqueline Liu , Peter A. Beerel

Large number of ReLU and MAC operations of Deep neural networks make them ill-suited for latency and compute-efficient private inference. In this paper, we present a model optimization method that allows a model to learn to be shallow. In…

机器学习 · 计算机科学 2023-04-27 Souvik Kundu , Yuke Zhang , Dake Chen , Peter A. Beerel

Ensuring privacy-preserving inference on cryptographically secure data is a well-known computational challenge. To alleviate the bottleneck of costly cryptographic computations in non-linear activations, recent methods have suggested…

机器学习 · 计算机科学 2024-08-21 Saswat Das , Marco Romanelli , Ferdinando Fioretto

In this paper, we study the implicit regularization of the gradient descent algorithm in homogeneous neural networks, including fully-connected and convolutional neural networks with ReLU or LeakyReLU activations. In particular, we study…

机器学习 · 计算机科学 2021-01-01 Kaifeng Lyu , Jian Li

We propose and analyze a new family of algorithms for training neural networks with ReLU activations. Our algorithms are based on the technique of alternating minimization: estimating the activation patterns of each ReLU for all given…

机器学习 · 计算机科学 2018-10-12 Gauri Jagatap , Chinmay Hegde

Private computation of nonlinear functions, such as Rectified Linear Units (ReLUs) and max-pooling operations, in deep neural networks (DNNs) poses significant challenges in terms of storage, bandwidth, and time consumption. To address…

机器学习 · 计算机科学 2023-12-27 Toluwani Aremu

Prior work on Private Inference (PI) -- inferences performed directly on encrypted input -- has focused on minimizing a network's ReLUs, which have been assumed to dominate PI latency rather than FLOPs. Recent work has shown that FLOPs for…

密码学与安全 · 计算机科学 2024-06-25 Nandan Kumar Jha , Brandon Reagen

We study the problem of training deep neural networks with Rectified Linear Unit (ReLU) activation function using gradient descent and stochastic gradient descent. In particular, we study the binary classification problem and show that for…

机器学习 · 计算机科学 2018-12-31 Difan Zou , Yuan Cao , Dongruo Zhou , Quanquan Gu

Private Inference (PI) uses cryptographic primitives to perform privacy preserving machine learning. In this setting, the owner of the network runs inference on the data of the client without learning anything about the data and without…

机器学习 · 计算机科学 2025-12-22 Yonathan Bornfeld , Shai Avidan

We study the problem of learning one-hidden-layer neural networks with Rectified Linear Unit (ReLU) activation function, where the inputs are sampled from standard Gaussian distribution and the outputs are generated from a noisy teacher…

机器学习 · 统计学 2018-06-21 Xiao Zhang , Yaodong Yu , Lingxiao Wang , Quanquan Gu

We propose and analyze a numerical algorithm for solving a class of optimal control problems for learning-informed semilinear partial differential equations. The latter is a class of PDEs with constituents that are in principle unknown and…

最优化与控制 · 数学 2022-10-17 Guozhi Dong , Michael Hintermüller , Kostas Papafitsoros

Reverse engineering deep ReLU networks is a critical problem in understanding the complex behavior and interpretability of neural networks. In this research, we present a novel method for reconstructing deep ReLU networks by leveraging…

机器学习 · 计算机科学 2023-12-11 Mehrab Hamidi

We propose ReDense as a simple and low complexity way to improve the performance of trained neural networks. We use a combination of random weights and rectified linear unit (ReLU) activation function to add a ReLU dense (ReDense) layer to…

机器学习 · 计算机科学 2020-10-27 Alireza M. Javid , Sandipan Das , Mikael Skoglund , Saikat Chatterjee

Private inference (PI) enables inference directly on cryptographically secure data.While promising to address many privacy issues, it has seen limited use due to extreme runtimes. Unlike plaintext inference, where latency is dominated by…

密码学与安全 · 计算机科学 2022-06-09 Minsu Cho , Ameya Joshi , Siddharth Garg , Brandon Reagen , Chinmay Hegde

Integer-arithmetic-only networks have been demonstrated effective to reduce computational cost and to ensure cross-platform consistency. However, previous works usually report a decline in the inference accuracy when converting well-trained…

计算机视觉与模式识别 · 计算机科学 2020-06-23 Hengrui Zhao , Dong Liu , Houqiang Li

Finding the optimal configuration of parameters in ResNet is a nonconvex minimization problem, but first-order methods nevertheless find the global optimum in the overparameterized regime. We study this phenomenon with mean-field analysis,…

机器学习 · 计算机科学 2021-11-30 Zhiyan Ding , Shi Chen , Qin Li , Stephen Wright

One of the mysteries in the success of neural networks is randomly initialized first order methods like gradient descent can achieve zero training loss even though the objective function is non-convex and non-smooth. This paper demystifies…

机器学习 · 计算机科学 2019-02-06 Simon S. Du , Xiyu Zhai , Barnabas Poczos , Aarti Singh

Solving mixed-integer optimization problems with embedded neural networks with ReLU activation functions is challenging. Big-M coefficients that arise in relaxing binary decisions related to these functions grow exponentially with the…

最优化与控制 · 数学 2025-02-06 Christoph Plate , Mirko Hahn , Alexander Klimek , Caroline Ganzer , Kai Sundmacher , Sebastian Sager
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