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We study the emergence of sparse representations in neural networks. We show that in unsupervised models with regularization, the emergence of sparsity is the result of the input data samples being distributed along highly non-linear or…

机器学习 · 计算机科学 2019-03-08 Vivek Bakaraju , Kishore Reddy Konda

Sparse neural networks are a key factor in developing resource-efficient machine learning applications. We propose the novel and powerful sparse learning method Adaptive Regularized Training (ART) to compress dense into sparse networks.…

计算机视觉与模式识别 · 计算机科学 2023-08-17 Patrick Glandorf , Timo Kaiser , Bodo Rosenhahn

Training neural networks with high certified accuracy against adversarial examples remains an open challenge despite significant efforts. While certification methods can effectively leverage tight convex relaxations for bound computation,…

机器学习 · 计算机科学 2025-07-16 Stefan Balauca , Mark Niklas Müller , Yuhao Mao , Maximilian Baader , Marc Fischer , Martin Vechev

Benign overfitting refers to how over-parameterized neural networks can fit training data perfectly and generalize well to unseen data. While this has been widely investigated theoretically, existing works are limited to two-layer networks…

机器学习 · 计算机科学 2024-10-28 Shuning Shang , Xuran Meng , Yuan Cao , Difan Zou

In this paper, we propose a novel approach for implicit data representation to evaluate similarity of input data using a trained neural network. In contrast to the previous approach, which uses gradients for representation, we utilize only…

机器学习 · 计算机科学 2020-10-12 Alan Savushkin , Nikita Benkovich , Dmitry Golubev

Error backpropagation is a highly effective mechanism for learning high-quality hierarchical features in deep networks. Updating the features or weights in one layer, however, requires waiting for the propagation of error signals from…

神经与进化计算 · 计算机科学 2017-11-21 Hesham Mostafa , Vishwajith Ramesh , Gert Cauwenberghs

Prior work has demonstrated a consistent tendency in neural networks engaged in continual learning tasks, wherein intermediate task similarity results in the highest levels of catastrophic interference. This phenomenon is attributed to the…

It is a common assumption that the activation of different layers in neural networks follow Gaussian distribution. This distribution can be transformed using normalization techniques, such as batch-normalization, increasing convergence…

机器学习 · 计算机科学 2020-10-19 Andras Horvath , Jalal Al-afandi

Neural collapse is a highly symmetric geometric pattern of neural networks that emerges during the terminal phase of training, with profound implications on the generalization performance and robustness of the trained networks. To…

机器学习 · 计算机科学 2022-04-26 Wenlong Ji , Yiping Lu , Yiliang Zhang , Zhun Deng , Weijie J. Su

Reasoning is an integral part of many tasks performed by language models (LMs). However, the effects of scaling model sizes and data on reasoning abilities at pretraining time remain understudied. To rigorously investigate this problem, we…

人工智能 · 计算机科学 2025-09-30 Xinyi Wang , Shawn Tan , Shenbo Xu , Mingyu Jin , William Yang Wang , Rameswar Panda , Yikang Shen

Modern machine learning models are often trained in a setting where the number of parameters exceeds the number of training samples. To understand the implicit bias of gradient descent in such overparameterized models, prior work has…

机器学习 · 统计学 2025-10-29 Hannes Matt , Dominik Stöger

A recent empirical observation (Li et al., 2022b) of activation sparsity in MLP blocks offers an opportunity to drastically reduce computation costs for free. Although having attributed it to training dynamics, existing theoretical…

机器学习 · 计算机科学 2023-10-27 Ze Peng , Lei Qi , Yinghuan Shi , Yang Gao

Neural networks trained to minimize the logistic (a.k.a. cross-entropy) loss with gradient-based methods are observed to perform well in many supervised classification tasks. Towards understanding this phenomenon, we analyze the training…

最优化与控制 · 数学 2020-06-23 Lenaic Chizat , Francis Bach

We show that unsupervised training of latent capsule layers using only the reconstruction loss, without masking to select the correct output class, causes a loss of equivariances and other desirable capsule qualities. This implies that…

计算机视觉与模式识别 · 计算机科学 2018-04-18 David Rawlinson , Abdelrahman Ahmed , Gideon Kowadlo

There exists a plethora of techniques for inducing structured sparsity in parametric models during the optimization process, with the final goal of resource-efficient inference. However, few methods target a specific number of…

机器学习 · 计算机科学 2018-11-26 Raphael Tang , Ashutosh Adhikari , Jimmy Lin

A recent study by De et al. (2022) has reported that large-scale representation learning through pre-training on a public dataset significantly enhances differentially private (DP) learning in downstream tasks, despite the high…

机器学习 · 计算机科学 2024-10-15 Chendi Wang , Yuqing Zhu , Weijie J. Su , Yu-Xiang Wang

Likelihood-based, or explicit, deep generative models use neural networks to construct flexible high-dimensional densities. This formulation directly contradicts the manifold hypothesis, which states that observed data lies on a…

Good training data is a prerequisite to develop useful ML applications. However, in many domains existing data sets cannot be shared due to privacy regulations (e.g., from medical studies). This work investigates a simple yet unconventional…

At the heart of machine learning lies the question of generalizability of learned rules over previously unseen data. While over-parameterized models based on neural networks are now ubiquitous in machine learning applications, our…

机器学习 · 计算机科学 2020-05-04 Melikasadat Emami , Mojtaba Sahraee-Ardakan , Parthe Pandit , Sundeep Rangan , Alyson K. Fletcher

\ac{fl} proposed a distributed \ac{ml} framework where every distributed worker owns a complete copy of global model and their own data. The training is occurred locally, which assures no direct transmission of training data. However, the…

密码学与安全 · 计算机科学 2021-11-08 Jia Qian , Hiba Nassar , Lars Kai Hansen