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When parameters are weakly identified, bounds on the parameters may provide a valuable source of information. Existing weak identification estimation and inference results are unable to combine weak identification with bounds. Within a…

Econometrics · Economics 2025-10-03 Gregory Fletcher Cox

We investigate multi-label classification involving large sets of labels, where the output labels may be known to satisfy some logical constraints. We look at an architecture in which classifiers for individual labels are fed into an…

Machine Learning · Computer Science 2025-07-22 Mykhailo Buleshnyi , Anna Polova , Zsolt Zombori , Michael Benedikt

Similarity learning is a general problem to elicit useful representations by predicting the relationship between a pair of patterns. This problem is related to various important preprocessing tasks such as metric learning, kernel learning,…

Machine Learning · Statistics 2022-03-02 Han Bao , Takuya Shimada , Liyuan Xu , Issei Sato , Masashi Sugiyama

Learning identifiable representations and models from low-level observations is helpful for an intelligent spacecraft to complete downstream tasks reliably. For temporal observations, to ensure that the data generating process is provably…

Machine Learning · Computer Science 2024-12-05 Congxi Zhang , Yongchun Xie

In this work we consider the task of relaxing the i.i.d assumption in pattern recognition (or classification), aiming to make existing learning algorithms applicable to a wider range of tasks. Pattern recognition is guessing a discrete…

Machine Learning · Computer Science 2012-02-28 Daniil Ryabko

In order to address real-world problems, deep learning models are jointly trained on many classes. However, in the future, some classes may become restricted due to privacy/ethical concerns, and the restricted class knowledge has to be…

Computer Vision and Pattern Recognition · Computer Science 2022-10-20 Pravendra Singh , Pratik Mazumder , Mohammed Asad Karim

This work presents a control-oriented identification scheme for efficient control design and stability analysis of nonlinear systems. Neural networks are used to identify a discrete-time nonlinear state-space model to approximate…

Systems and Control · Electrical Eng. & Systems 2024-10-04 Maxime Thieffry , Alexandre Hache , Mohamed Yagoubi , Philippe Chevrel

High dimensional categorical data are routinely collected in biomedical and social sciences. It is of great importance to build interpretable parsimonious models that perform dimension reduction and uncover meaningful latent structures from…

Methodology · Statistics 2023-01-31 Yuqi Gu , David B. Dunson

We introduce a class of linear compartmental models called identifiable path/cycle models which have the property that all of the monomial functions of parameters associated to the directed cycles and paths from input compartments to output…

Algebraic Geometry · Mathematics 2021-09-01 Cashous Bortner , Nicolette Meshkat

Cognitive Diagnosis Models (CDMs) are a special family of discrete latent variable models that are widely used in modern educational, psychological, social and biological sciences. A key component of CDMs is a binary $Q$-matrix…

Methodology · Statistics 2025-01-08 Chenchen Ma , Gongjun Xu

Diffusion models rely on a high-dimensional latent space of initial noise seeds, yet it remains unclear whether this space contains sufficient structure to predict properties of the generated samples, such as their classes. In this work, we…

Machine Learning · Computer Science 2026-02-09 Wei Wei , Yizhou Zeng , Kuntian Chen , Sophie Langer , Mariia Seleznova , Hung-Hsu Chou

This work focuses on the problem of unraveling nonlinearly mixed latent components in an unsupervised manner. The latent components are assumed to reside in the probability simplex, and are transformed by an unknown post-nonlinear mixing…

Machine Learning · Computer Science 2021-09-15 Qi Lyu , Xiao Fu

This work proposes and evaluates a novel approach to determine interesting categorical attributes for lists of entities. Once identified, such categories are of immense value to allow constraining (filtering) a current view of a user to…

Databases · Computer Science 2017-11-30 Koninika Pal , Sebastian Michel

Latent factor models are increasingly popular for modeling multi-relational knowledge graphs. By their vectorial nature, it is not only hard to interpret why this class of models works so well, but also to understand where they fail and how…

Machine Learning · Computer Science 2017-09-19 Théo Trouillon , Éric Gaussier , Christopher R. Dance , Guillaume Bouchard

In this paper, an original result in terms of a sufficient condition to test identifiability of nonlinear delayed-differential models with constant delays and multi-inputs is given. The identifiability is studied for the linearized system…

Dynamical Systems · Mathematics 2010-09-10 Carine Jauberthie , Louise Travé-Massuyès

Given experimental data, one of the main objectives of biological modeling is to construct a model which best represents the real world phenomena. In some cases, there could be multiple distinct models exhibiting the exact same dynamics,…

Combinatorics · Mathematics 2024-12-03 Cashous Bortner , John Gilliana , Dev Patel , Zaia Tamras

This work addresses the problem of identifiability, that is, the question of whether parameters can be recovered from data, for linear compartmental models. Using standard differential algebra techniques, the question of whether a given…

Algebraic Geometry · Mathematics 2021-06-30 Elizabeth Gross , Nicolette Meshkat , Anne Shiu

Neural networks achieve outstanding accuracy in classification and regression tasks. However, understanding their behavior still remains an open challenge that requires questions to be addressed on the robustness, explainability and…

Machine Learning · Computer Science 2021-05-13 Anna-Kathrin Kopetzki , Stephan Günnemann

Stochasticity plays a key role in many biological systems, necessitating the calibration of stochastic mathematical models to interpret associated data. For model parameters to be estimated reliably, it is typically the case that they must…

Model identifiability is a desirable property in the context of unsupervised representation learning. In absence thereof, different models may be observationally indistinguishable while yielding representations that are nontrivially related…

Machine Learning · Statistics 2022-02-15 Shubhangi Ghosh , Luigi Gresele , Julius von Kügelgen , Michel Besserve , Bernhard Schölkopf