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Normalizing flows are a powerful class of generative models demonstrating strong performance in several speech and vision problems. In contrast to other generative models, normalizing flows are latent variable models with tractable…

Machine Learning · Computer Science 2021-08-06 Dmitry Baranchuk , Vladimir Aliev , Artem Babenko

It is known that, without awareness of the process, our brain appears to focus on the general shape of objects rather than superficial statistics of context. On the other hand, learning autonomously allows discovering invariant regularities…

Computer Vision and Pattern Recognition · Computer Science 2020-03-31 Nader Asadi , Amir M. Sarfi , Mehrdad Hosseinzadeh , Zahra Karimpour , Mahdi Eftekhari

Recently, studies on machine learning have focused on methods that use symmetry implicit in a specific manifold as an inductive bias. Grassmann manifolds provide the ability to handle fundamental shapes represented as shape spaces, enabling…

Machine Learning · Computer Science 2023-12-06 Ryoma Yataka , Kazuki Hirashima , Masashi Shiraishi

Since upcoming telescopes will observe thousands of strong lensing systems, creating fully-automated analysis pipelines for these images becomes increasingly important. In this work, we make a step towards that direction by developing the…

Cosmology and Nongalactic Astrophysics · Physics 2020-06-03 Marco Chianese , Adam Coogan , Paul Hofma , Sydney Otten , Christoph Weniger

We present a pseudo-reversible normalizing flow method for efficiently generating samples of the state of a stochastic differential equation (SDE) with different initial distributions. The primary objective is to construct an accurate and…

Numerical Analysis · Mathematics 2023-06-12 Minglei Yang , Pengjun Wang , Diego del-Castillo-Negrete , Yanzhao Cao , Guannan Zhang

In these notes the main theoretical concepts and techniques in the field of mean-field spin-glasses are reviewed in a compact and pedagogical way, for the benefit of the graduate and undergraduate student. One particular spin-glass model is…

Disordered Systems and Neural Networks · Physics 2009-11-11 Tommaso Castellani , Andrea Cavagna

In this paper I propose a generative model of supervised learning that unifies two approaches to supervised learning, using a concept of a correct loss function. Addressing two measurability problems, which have been ignored in statistical…

Statistics Theory · Mathematics 2025-04-29 Hông Vân Lê

Generative models show great promise for the inverse design of molecules and inorganic crystals, but remain largely ineffective within more complex structures such as amorphous materials. Here, we present a diffusion model that reliably…

Disordered Systems and Neural Networks · Physics 2026-01-21 Kai Yang , Daniel Schwalbe-Koda

We introduce ImitationFlow, a novel Deep generative model that allows learning complex globally stable, stochastic, nonlinear dynamics. Our approach extends the Normalizing Flows framework to learn stable Stochastic Differential Equations.…

Machine Learning · Computer Science 2020-10-27 Julen Urain , Michelle Ginesi , Davide Tateo , Jan Peters

Estimating the parameters of a model describing a set of observations using a neural network is in general solved in a supervised way. In cases when we do not have access to the model's true parameters this approach can not be applied.…

Astrophysics of Galaxies · Physics 2020-09-30 Miguel A. Aragon-Calvo

This work presents a statistical mechanics characterization of neural networks, motivated by the replica symmetry breaking (RSB) phenomenon in spin glasses. A Hopfield-type spin glass model is constructed from a given feedforward neural…

Disordered Systems and Neural Networks · Physics 2025-08-12 Jun Li

Lifelong learning is the problem of learning multiple consecutive tasks in a sequential manner, where knowledge gained from previous tasks is retained and used to aid future learning over the lifetime of the learner. It is essential towards…

Machine Learning · Statistics 2020-09-09 Jason Ramapuram , Magda Gregorova , Alexandros Kalousis

Deep learning (DL) has emerged as a tool for improving accelerated MRI reconstruction. A common strategy among DL methods is the physics-based approach, where a regularized iterative algorithm alternating between data consistency and a…

Image and Video Processing · Electrical Eng. & Systems 2020-07-03 Burhaneddin Yaman , Seyed Amir Hossein Hosseini , Steen Moeller , Jutta Ellermann , Kâmil Uǧurbil , Mehmet Akçakaya

Generating images from a single sample, as a newly developing branch of image synthesis, has attracted extensive attention. In this paper, we formulate this problem as sampling from the conditional distribution of a single image, and…

Computer Vision and Pattern Recognition · Computer Science 2022-01-07 ZiCheng Zhang , CongYing Han , TianDe Guo

Self-supervised representation learning is able to learn semantically meaningful features; however, much of its recent success relies on multiple crops of an image with very few objects. Instead of learning view-invariant representation…

Computer Vision and Pattern Recognition · Computer Science 2021-10-13 Yuwen Xiong , Mengye Ren , Wenyuan Zeng , Raquel Urtasun

After learning a concept, humans are also able to continually generalize their learned concepts to new domains by observing only a few labeled instances without any interference with the past learned knowledge. In contrast, learning…

Machine Learning · Computer Science 2019-09-10 Mohammad Rostami , Soheil Kolouri , James McClelland , Praveen Pilly

Self-supervised learning excels at learning representations from large amounts of data. At the same time, generative models offer the complementary property of learning information about the underlying data generation process. In this…

Machine Learning · Computer Science 2025-08-15 Emanuele Sansone , Robin Manhaeve

Self-supervised learning in computer vision aims to leverage the inherent structure and relationships within data to learn meaningful representations without explicit human annotation, enabling a holistic understanding of visual scenes.…

Computer Vision and Pattern Recognition · Computer Science 2023-08-14 Prakash Chandra Chhipa , Johan Rodahl Holmgren , Kanjar De , Rajkumar Saini , Marcus Liwicki

A spin glass is a diluted magnetic material in which the magnetic moments are randomly interacting, with a huge number of metastable states which prevent reaching equilibrium. Spin-glass models are conceptually simple, but require very…

Disordered Systems and Neural Networks · Physics 2023-03-03 Eric Vincent

Spin glass theory studies the structure of sublevel sets and minima (or near-minima) of certain classes of random functions in high dimension. Near-minima of random functions also play an important role in high-dimensional statistics and…

Probability · Mathematics 2026-02-27 Andrea Montanari