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The cross-entropy loss commonly used in deep learning is closely related to the defining properties of optimal representations, but does not enforce some of the key properties. We show that this can be solved by adding a regularization…

Machine Learning · Statistics 2017-02-14 Alessandro Achille , Stefano Soatto

The superposition hypothesis states that single neurons may participate in representing multiple features in order for the neural network to represent more features than it has neurons. In neuroscience and AI, representational alignment…

Machine Learning · Computer Science 2025-11-14 André Longon , David Klindt , Meenakshi Khosla

Self-Supervised Learning (SSL) methods harness the concept of semantic invariance by utilizing data augmentation strategies to produce similar representations for different deformations of the same input. Essentially, the model captures the…

Computer Vision and Pattern Recognition · Computer Science 2024-03-05 Huijie Guo , Ying Ba , Jie Hu , Lingyu Si , Wenwen Qiang , Lei Shi

Training stability is of great importance to Transformers. In this work, we investigate the training dynamics of Transformers by examining the evolution of the attention layers. In particular, we track the attention entropy for each…

Most NN-RSs focus on accuracy by building representations from the direct user-item interactions (e.g., user-item rating matrix), while ignoring the underlying relatedness between users and items (e.g., users who rate the same ratings for…

Information Retrieval · Computer Science 2022-05-20 Yuanbo Xu , En Wang , Yongjian Yang , Yi Chang

Recent work in Deep Learning has re-imagined the representation of data as functions mapping from a coordinate space to an underlying continuous signal. When such functions are approximated by neural networks this introduces a compelling…

Machine Learning · Statistics 2022-08-09 Jonathan Richard Schwarz , Yee Whye Teh

As neural networks grow in scale, their training becomes both computationally demanding and rich in dynamics. Amidst the flourishing interest in these training dynamics, we present a novel observation: Parameters during training exhibit…

Machine Learning · Computer Science 2024-07-24 Jonathan Brokman , Roy Betser , Rotem Turjeman , Tom Berkov , Ido Cohen , Guy Gilboa

The Transformer has proven to be a significant approach in feature interaction for CTR prediction, achieving considerable success in previous works. However, it also presents potential challenges in handling feature interactions. Firstly,…

Information Retrieval · Computer Science 2025-03-17 Yi Xu , Zhiyuan Lu , Xiaochen Li , Jinxin Hu , Hong Wen , Zulong Chen , Yu Zhang , Jing Zhang

We introduce a new algorithm, called CDER, for supervised machine learning that merges the multi-scale geometric properties of Cover Trees with the information-theoretic properties of entropy. CDER applies to a training set of labeled…

Machine Learning · Computer Science 2018-01-23 Abraham Smith , Paul Bendich , John Harer , Alex Pieloch , Jay Hineman

While most continual learning methods focus on mitigating forgetting and improving accuracy, they often overlook the critical aspect of network calibration, despite its importance. Neural collapse, a phenomenon where last-layer features…

Machine Learning · Computer Science 2026-04-23 Trung-Anh Dang , Vincent Nguyen , Ngoc-Son Vu , Christel Vrain

In continual learning scenarios, catastrophic forgetting of previously learned tasks is a critical issue, making it essential to effectively measure such forgetting. Recently, there has been growing interest in focusing on representation…

Machine Learning · Computer Science 2025-06-13 Joonkyu Kim , Yejin Kim , Jy-yong Sohn

Supervised classification has a theoretical optimum, Neural Collapse (NC), yet neither of its two dominant paradigms reaches it in practice. Cross entropy (CE) leaves radial degrees of freedom unconstrained and converges to a degenerate…

Machine Learning · Computer Science 2026-05-22 Panagiotis Koromilas , Theodoros Giannakopoulos , Mihalis A. Nicolaou , Yannis Panagakis

Maximum Entropy models can be inferred from large data-sets to uncover how collective dynamics emerge from local interactions. Here, such models are employed to investigate neurons recorded by multielectrode arrays in the human and monkey…

Neurons and Cognition · Quantitative Biology 2018-07-11 Trang-Anh Nghiem , Bartosz Telenczuk , Olivier Marre , Alain Destexhe , Ulisse Ferrari

Recently it has been observed that neural networks exhibit Neural Collapse (NC) during the final stage of training for the classification problem. We empirically show that multivariate regression, as employed in imitation learning and other…

Machine Learning · Computer Science 2025-09-30 George Andriopoulos , Zixuan Dong , Li Guo , Zifan Zhao , Keith Ross

Feature extraction and description is an important topic of computer vision, as it is the starting point of a number of tasks such as image reconstruction, stitching, registration, and recognition among many others. In this paper, two new…

Computer Vision and Pattern Recognition · Computer Science 2020-05-15 Ali Khajegili Mirabadi , Stefano Rini

Despite achieving promising results in a breadth of medical image segmentation tasks, deep neural networks require large training datasets with pixel-wise annotations. Obtaining these curated datasets is a cumbersome process which limits…

Image and Video Processing · Electrical Eng. & Systems 2022-11-28 Bingyuan Liu , Christian Desrosiers , Ismail Ben Ayed , Jose Dolz

The learning mechanisms by which humans acquire internal representations of objects are not fully understood. Deep neural networks (DNNs) have emerged as a useful tool for investigating this question, as they have internal representations…

Computer Vision and Pattern Recognition · Computer Science 2025-12-02 Soh Takahashi , Masaru Sasaki , Ken Takeda , Masafumi Oizumi

In [1] it is shown that recurrent neural networks (RNNs) can learn - in a metric entropy optimal manner - discrete time, linear time-invariant (LTI) systems. This is effected by comparing the number of bits needed to encode the…

Dynamical Systems · Mathematics 2022-11-29 Clemens Hutter , Thomas Allard , Helmut Bölcskei

The widespread use of diffusion models has led to an abundance of AI-generated data, raising concerns about model collapse -- a phenomenon in which recursive iterations of training on synthetic data lead to performance degradation. Prior…

Machine Learning · Computer Science 2025-12-29 Lianghe Shi , Meng Wu , Huijie Zhang , Zekai Zhang , Molei Tao , Qing Qu

The core of cross-modal matching is to accurately measure the similarity between different modalities in a unified representation space. However, compared to textual descriptions of a certain perspective, the visual modality has more…

Computer Vision and Pattern Recognition · Computer Science 2023-12-22 Wenzhang Wei , Zhipeng Gui , Changguang Wu , Anqi Zhao , Dehua Peng , Huayi Wu
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