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In neural network compression, most current methods reduce unnecessary parameters by measuring importance and redundancy. To augment already highly optimized existing solutions, we propose linearity-based compression as a novel way to…

Machine Learning · Computer Science 2025-06-27 Silas Dobler , Florian Lemmerich

Neural Network Pruning has been established as driving force in the exploration of memory and energy efficient solutions with high throughput both during training and at test time. In this paper, we introduce a novel criterion for model…

Machine Learning · Computer Science 2025-12-09 Angelos-Christos Maroudis , Sotirios Xydis

Multielectrode arrays allow recording of the activity of many single neurons, from which correlations can be calculated. The functional roles of correlations can be revealed by the measures of the information conveyed by neuronal activity;…

Statistical Mechanics · Physics 2009-09-25 Michele Bezzi , Mathew E. Diamond , Alessandro Treves

We study the problem of learning classification functions from noiseless training samples, under the assumption that the decision boundary is of a certain regularity. We establish universal lower bounds for this estimation problem, for…

Functional Analysis · Mathematics 2021-12-28 Philipp Petersen , Felix Voigtlaender

All fields of science depend on mathematical models. Occam's razor refers to the principle that good models should exclude parameters beyond those minimally required to describe the systems they represent. This is because redundancy can…

Machine Learning · Computer Science 2023-09-08 Botond B Antal , Anthony G Chesebro , Helmut H Strey , Lilianne R Mujica-Parodi , Corey Weistuch

Feature selection and reducing the dimensionality of data is an essential step in data analysis. In this work, we propose a new criterion for feature selection that is formulated as conditional information between features given the labeled…

Machine Learning · Statistics 2019-05-20 Salimeh Yasaei Sekeh , Alfred O. Hero

We present a new algorithm to generate minimal, stable, and symbolic corrections to an input that will cause a neural network with ReLU activations to change its output. We argue that such a correction is a useful way to provide feedback to…

Machine Learning · Computer Science 2018-09-03 Xin Zhang , Armando Solar-Lezama , Rishabh Singh

Nonparametric regression with random design is considered. Estimates are defined by minimzing a penalized empirical $L_2$ risk over a suitably chosen class of neural networks with one hidden layer via gradient descent. Here, the gradient…

Statistics Theory · Mathematics 2019-12-10 Alina Braun , Michael Kohler , Harro Walk

Interpretability is crucial for ensuring RL systems align with human values. However, it remains challenging to achieve in complex decision making domains. Existing methods frequently attempt interpretability at the level of fundamental…

Machine Learning · Computer Science 2025-06-03 Anna Soligo , Pietro Ferraro , David Boyle

Deploying deep learning models, comprising of non-linear combination of millions, even billions, of parameters is challenging given the memory, power and compute constraints of the real world. This situation has led to research into model…

Machine Learning · Computer Science 2020-05-29 Muhammad A. Shah , Raphael Olivier , Bhiksha Raj

Machine learning algorithms have been increasingly deployed in critical automated decision-making systems that directly affect human lives. When these algorithms are only trained to minimize the training/test error, they could suffer from…

Machine Learning · Computer Science 2023-09-14 Sina Baharlouei , Maher Nouiehed , Ahmad Beirami , Meisam Razaviyayn

Structural pruning of neural network parameters reduces computation, energy, and memory transfer costs during inference. We propose a novel method that estimates the contribution of a neuron (filter) to the final loss and iteratively…

Machine Learning · Computer Science 2019-06-27 Pavlo Molchanov , Arun Mallya , Stephen Tyree , Iuri Frosio , Jan Kautz

In search settings, calibrating the scores during the ranking process to quantities such as click-through rates or relevance levels enhances a system's usefulness and trustworthiness for downstream users. While previous research has…

Information Retrieval · Computer Science 2024-08-28 Puxuan Yu , Daniel Cohen , Hemank Lamba , Joel Tetreault , Alex Jaimes

The density estimation is one of the core problems in statistics. Despite this, existing techniques like maximum likelihood estimation are computationally inefficient due to the intractability of the normalizing constant. For this reason an…

Machine Learning · Computer Science 2021-01-14 Tsimboy Olga , Yermek Kapushev , Evgeny Burnaev , Ivan Oseledets

Function approximation has been an indispensable component in modern reinforcement learning algorithms designed to tackle problems with large state spaces in high dimensions. This paper reviews recent results on error analysis for these…

Machine Learning · Computer Science 2024-02-27 Jihao Long , Jiequn Han

Deep neural networks are a family of computational models that are naturally suited to the analysis of hierarchical data such as, for instance, sequential data with the use of recurrent neural networks. In the other hand, ordinal regression…

Machine Learning · Statistics 2021-01-08 Louis Falissard , Karim Bounebache , Grégoire Rey

We train neural networks to optimize a Minimum Description Length score, i.e., to balance between the complexity of the network and its accuracy at a task. We show that networks optimizing this objective function master tasks involving…

Computation and Language · Computer Science 2022-04-01 Nur Lan , Michal Geyer , Emmanuel Chemla , Roni Katzir

It has been argued persuasively that, in order to evaluate climate models, the probability distributions of model output need to be compared to the corresponding empirical distributions of observed data. Distance measures between…

Methodology · Statistics 2013-07-17 Thordis L. Thorarinsdottir , Tilmann Gneiting , Nadine Gissibl

Neural networks are usually not the tool of choice for nonparametric high-dimensional problems where the number of input features is much larger than the number of observations. Though neural networks can approximate complex multivariate…

Methodology · Statistics 2019-06-25 Jean Feng , Noah Simon

Recent studies strive to incorporate various human rationales into neural networks to improve model performance, but few pay attention to the quality of the rationales. Most existing methods distribute their models' focus to…

Computation and Language · Computer Science 2021-06-04 Quzhe Huang , Shengqi Zhu , Yansong Feng , Dongyan Zhao