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Compressing large neural networks is an important step for their deployment in resource-constrained computational platforms. In this context, vector quantization is an appealing framework that expresses multiple parameters using a single…

Computer Vision and Pattern Recognition · Computer Science 2021-04-13 Julieta Martinez , Jashan Shewakramani , Ting Wei Liu , Ioan Andrei Bârsan , Wenyuan Zeng , Raquel Urtasun

Unlike extractive summarization, abstractive summarization has to fuse different parts of the source text, which inclines to create fake facts. Our preliminary study reveals nearly 30% of the outputs from a state-of-the-art neural…

Information Retrieval · Computer Science 2017-11-15 Ziqiang Cao , Furu Wei , Wenjie Li , Sujian Li

We present a framework to define a large class of neural networks for which, by construction, training by gradient flow provably reaches arbitrarily low loss when the number of parameters grows. Distinct from the fixed-space global…

Optimization and Control · Mathematics 2025-01-13 David A. R. Robin , Kevin Scaman , Marc Lelarge

Despite existing work on ensuring generalization of neural networks in terms of scale sensitive complexity measures, such as norms, margin and sharpness, these complexity measures do not offer an explanation of why neural networks…

Machine Learning · Computer Science 2018-05-31 Behnam Neyshabur , Zhiyuan Li , Srinadh Bhojanapalli , Yann LeCun , Nathan Srebro

Neural network pruning is a popular technique used to reduce the inference costs of modern, potentially overparameterized, networks. Starting from a pre-trained network, the process is as follows: remove redundant parameters, retrain, and…

Machine Learning · Computer Science 2021-03-05 Lucas Liebenwein , Cenk Baykal , Brandon Carter , David Gifford , Daniela Rus

Abstraction is a fundamental tool for reasoning about complex systems. Program abstraction has been utilized to great effect for analyzing deterministic programs. At the heart of program abstraction is the relationship between a concrete…

Artificial Intelligence · Computer Science 2017-07-17 Steven Holtzen , Todd Millstein , Guy Van den Broeck

Formal verification has emerged as a powerful approach to ensure the safety and reliability of deep neural networks. However, current verification tools are limited to only a handful of properties that can be expressed as first-order…

Artificial Intelligence · Computer Science 2022-03-03 Xuan Xie , Kristian Kersting , Daniel Neider

A neural network with one hidden layer or a two-layer network (regardless of the input layer) is the simplest feedforward neural network, whose mechanism may be the basis of more general network architectures. However, even to this type of…

Machine Learning · Computer Science 2025-07-14 Changcun Huang

Abstraction plays a key role in concept learning and knowledge discovery; this paper is concerned with computational abstraction. In particular, we study the nature of abstraction through a group-theoretic approach, formalizing it as…

Machine Learning · Computer Science 2019-07-23 Haizi Yu , Igor Mineyev , Lav R. Varshney

Humans and many animals show remarkably adaptive behavior and can respond differently to the same input depending on their internal goals. The brain not only represents the intermediate abstractions needed to perform a computation but also…

Machine Learning · Computer Science 2024-07-25 Ali Hummos , Felipe del Río , Brabeeba Mien Wang , Julio Hurtado , Cristian B. Calderon , Guangyu Robert Yang

Neural network verification tools currently support only a narrow class of specifications, typically expressed as low-level constraints over raw inputs and outputs. This limitation significantly hinders their adoption and practical…

Machine Learning · Computer Science 2026-03-04 Yizhak Y. Elboher , Reuven Peleg , Zhouxing Shi , Guy Katz , Jan Křetínský

Batch Normalization (BN) is a commonly used technique to accelerate and stabilize training of deep neural networks. Despite its empirical success, a full theoretical understanding of BN is yet to be developed. In this work, we analyze BN…

Machine Learning · Computer Science 2022-03-22 Tolga Ergen , Arda Sahiner , Batu Ozturkler , John Pauly , Morteza Mardani , Mert Pilanci

The method presented extends a given regression neural network to make its performance improve. The modification affects the learning procedure only, hence the extension may be easily omitted during evaluation without any change in…

Machine Learning · Computer Science 2016-12-07 Konrad Zolna

The abilities of humans to understand the world in terms of cause and effect relationships, as well as to compress information into abstract concepts, are two hallmark features of human intelligence. These two topics have been studied in…

Machine Learning · Computer Science 2024-02-26 Kevin Xia , Elias Bareinboim

Automatic software verification is a valuable means for software quality assurance. However, automatic verification and in particular software model checking can be time-consuming, which hinders their practical applicability e.g., the use…

Logic in Computer Science · Computer Science 2026-01-16 Max Barth , Marie-Christine Jakobs

Recent experiments in neuroscience reveal that task-relevant variables are often encoded in approximately orthogonal subspaces of neural population activity. These disentangled, or abstract, representations have been observed in multiple…

Neurons and Cognition · Quantitative Biology 2026-03-16 Bin Wang , W. Jeffrey Johnston , Stefano Fusi

Neural networks embedded in safety-sensitive applications such as self-driving cars and wearable health monitors rely on two important techniques: input attribution for hindsight analysis and network compression to reduce its size for…

Machine Learning · Computer Science 2020-10-29 Geondo Park , June Yong Yang , Sung Ju Hwang , Eunho Yang

Boosting is a method for finding a highly accurate hypothesis by linearly combining many ``weak" hypotheses, each of which may be only moderately accurate. Thus, boosting is a method for learning an ensemble of classifiers. While boosting…

Machine Learning · Computer Science 2021-07-30 Sai Saketh Rambhatla , Michael Jones , Rama Chellappa

Attention-based neural abstractive summarization systems equipped with copy mechanisms have shown promising results. Despite this success, it has been noticed that such a system generates a summary by mostly, if not entirely, copying over…

Computation and Language · Computer Science 2018-03-21 Noah Weber , Leena Shekhar , Niranjan Balasubramanian , Kyunghyun Cho

Visual recognition requires rich representations that span levels from low to high, scales from small to large, and resolutions from fine to coarse. Even with the depth of features in a convolutional network, a layer in isolation is not…

Computer Vision and Pattern Recognition · Computer Science 2019-01-07 Fisher Yu , Dequan Wang , Evan Shelhamer , Trevor Darrell
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