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This paper investigates the sample dependence of critical points for neural networks. We introduce a sample-independent critical lifting operator that associates a parameter of one network with a set of parameters of another, thus defining…

Machine Learning · Computer Science 2025-05-21 Leyang Zhang , Yaoyu Zhang , Tao Luo

Understanding decisions made by neural networks is key for the deployment of intelligent systems in real world applications. However, the opaque decision making process of these systems is a disadvantage where interpretability is essential.…

Machine Learning · Computer Science 2023-04-12 Kai Fischer , Jonas Schneider

We consider the problem of estimating the parameters of a $d$-dimensional rectified Gaussian distribution from i.i.d. samples. A rectified Gaussian distribution is defined by passing a standard Gaussian distribution through a one-layer ReLU…

Machine Learning · Computer Science 2019-09-20 Shanshan Wu , Alexandros G. Dimakis , Sujay Sanghavi

One of the most effective methods of channel pruning is to trim on the basis of the importance of each neuron. However, measuring the importance of each neuron is an NP-hard problem. Previous works have proposed to trim by considering the…

Machine Learning · Computer Science 2021-12-07 Bilan Lai , Haoran Xiang , Furao Shen

We consider importance sampling as well as other properly weighted samples with respect to a target distribution $\pi$ from a different point of view. By considering the associated weights as sojourn times until the next jump, we define…

Statistics Theory · Mathematics 2007-06-13 S. Malefaki , G. Iliopoulos

Large annotated datasets are crucial for the success of deep neural networks, but labeling data can be prohibitively expensive in domains such as medical imaging. This work tackles the subset selection problem: selecting a small set of the…

Machine Learning · Computer Science 2025-09-29 Noga Bar , Raja Giryes

Random features provide a practical framework for large-scale kernel approximation and supervised learning. It has been shown that data-dependent sampling of random features using leverage scores can significantly reduce the number of…

Machine Learning · Computer Science 2019-03-21 Shahin Shahrampour , Soheil Kolouri

The capacity of foundation models allows for their application to new, unseen tasks. The adaptation to such tasks is called transfer learning. An efficient transfer learning method that circumvents parameter optimization is imprinting. The…

Machine Learning · Computer Science 2026-03-04 Justus Westerhoff , Golzar Atefi , Mario Koddenbrock , Alexei Figueroa , Alexander Löser , Erik Rodner , Felix A. Gers

We propose a new method for input variable selection in nonlinear regression. The method is embedded into a kernel regression machine that can model general nonlinear functions, not being a priori limited to additive models. This is the…

Machine Learning · Computer Science 2018-09-05 Magda Gregorová , Jason Ramapuram , Alexandros Kalousis , Stéphane Marchand-Maillet

Importance sampling is a rare event simulation technique used in Monte Carlo simulations to bias the sampling distribution towards the rare event of interest. By assigning appropriate weights to sampled points, importance sampling allows…

For complex latent variable models, the likelihood function is not available in closed form. In this context, a popular method to perform parameter estimation is Importance Weighted Variational Inference. It essentially maximizes the…

Statistics Theory · Mathematics 2025-01-16 Badr-Eddine Cherief-Abdellatif , Randal Douc , Arnaud Doucet , Hugo Marival

The dominating NLP paradigm of training a strong neural predictor to perform one task on a specific dataset has led to state-of-the-art performance in a variety of applications (eg. sentiment classification, span-prediction based question…

Computation and Language · Computer Science 2021-09-06 Paul Michel

Recent studies have shown that many important aspects of neural network learning take place within the very earliest iterations or epochs of training. For example, sparse, trainable sub-networks emerge (Frankle et al., 2019), gradient…

Machine Learning · Computer Science 2020-02-25 Jonathan Frankle , David J. Schwab , Ari S. Morcos

Network pruning is widely used for reducing the heavy inference cost of deep models in low-resource settings. A typical pruning algorithm is a three-stage pipeline, i.e., training (a large model), pruning and fine-tuning. During pruning,…

Machine Learning · Computer Science 2019-03-06 Zhuang Liu , Mingjie Sun , Tinghui Zhou , Gao Huang , Trevor Darrell

To create state-of-the-art models for many downstream tasks, it has become common practice to fine-tune a pre-trained large vision model. However, it remains an open question of how to best determine which of the many possible model…

Machine Learning · Computer Science 2025-12-08 Simon Guiroy , Mats Richter , Sarath Chandar , Christopher Pal

With the rise of neural models across the field of information retrieval, numerous publications have incrementally pushed the envelope of performance for a multitude of IR tasks. However, these networks often sample data in random order,…

Information Retrieval · Computer Science 2018-06-12 Daniel Cohen , Scott M. Jordan , W. Bruce Croft

Interpretability of machine learning is defined as the extent to which humans can comprehend the reason of a decision. However, a neural network is not considered interpretable due to the ambiguity in its decision-making process. Therefore,…

Machine Learning · Computer Science 2020-03-30 Yusuke Kubo , Yuto Komori , Toyonobu Okuyama , Hiroshi Tokieda

The dramatic growth of big datasets presents a new challenge to data storage and analysis. Data reduction, or subsampling, that extracts useful information from datasets is a crucial step in big data analysis. We propose an orthogonal…

Methodology · Statistics 2021-06-01 Lin Wang , Jake Elmstedt , Weng Kee Wong , Hongquan Xu

The number of triangles in a graph is useful to deduce a plethora of important features of the network that the graph is modeling. However, finding the exact value of this number is computationally expensive. Hence, a number of…

Data Structures and Algorithms · Computer Science 2017-10-30 Duru Türkoğlu , Ata Turk

The single-layer feedforward neural network with random weights is a recurring motif in the neural networks literature. The advantage of these networks is their simplified training, which reduces to solving a ridge-regression problem. A…

Machine Learning · Computer Science 2025-02-25 M. Andrecut