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A new method for analyzing high-dimensional categorical data, Linear Latent Structure (LLS) analysis, is presented. LLS models belong to the family of latent structure models, which are mixture distribution models constrained to satisfy the…

Probability · Mathematics 2007-06-13 Mikhail Kovtun , Igor Akushevich , Kenneth G. Manton , H. Dennis Tolley

Data driven algorithm design is an important aspect of modern data science and algorithm design. Rather than using off the shelf algorithms that only have worst case performance guarantees, practitioners often optimize over large families…

Data Structures and Algorithms · Computer Science 2020-11-17 Maria-Florina Balcan

Linear discriminant analysis improves class separability but struggles with non-linearly separable data. To overcome this, we introduce Deep Discriminant Analysis (DDA), which directly optimizes the Fisher criterion utilizing deep networks.…

Computer Vision and Pattern Recognition · Computer Science 2026-01-21 Raül Pérez-Gonzalo , Andreas Espersen , Antonio Agudo

Reinforcement learning algorithms typically rely on the assumption that the environment dynamics and value function can be expressed in terms of a Markovian state representation. However, when state information is only partially observable,…

Functional relationships between objects, called `attributes', are of considerable importance in knowledge representation languages, including Description Logics (DLs). A study of the literature indicates that papers have made, often…

Artificial Intelligence · Computer Science 2011-06-02 A. Borgida , R. Kusters

We introduce a method to determine if a certain capability helps to achieve an accurate model of given data. We view labels as being generated from the inputs by a program composed of subroutines with different capabilities, and we posit…

Machine Learning · Computer Science 2021-03-08 Ethan Perez , Douwe Kiela , Kyunghyun Cho

In the last years, there has been an increasing demand of a variety of logical systems, prompted mostly by applications of logic in AI and other related areas. Labeled Deductive Systems (LDS) were developed as a flexible methodology to…

Artificial Intelligence · Computer Science 2007-05-23 Carlos Iván Chesñevar , Guillermo Ricardo Simari

Robust low-rank matrix estimation is a topic of increasing interest, with promising applications in a variety of fields, from computer vision to data mining and recommender systems. Recent theoretical results establish the ability of such…

Information Theory · Computer Science 2011-09-29 Ignacio Ramírez , Guillermo Sapiro

We present HADA (Human-AI Agent Decision Alignment), a protocol- and framework agnostic reference architecture that keeps both large language model (LLM) agents and legacy algorithms aligned with organizational targets and values. HADA…

Artificial Intelligence · Computer Science 2025-06-06 Tapio Pitkäranta , Leena Pitkäranta

Active Domain Adaptation (ADA) queries the labels of a small number of selected target samples to help adapting a model from a source domain to a target domain. The local context of queried data is important, especially when the domain gap…

Machine Learning · Computer Science 2023-08-29 Tao Sun , Cheng Lu , Haibin Ling

Tabular foundation models are becoming increasingly popular for low-resource tabular problems. These models make up for small training datasets by pretraining on large volumes of synthetic data. The prior knowledge obtained via pretraining…

Machine Learning · Computer Science 2026-05-18 George Yakushev , Alina Shutova , Ivan Rubachev , Natalia Bereberdina , Renat Sergazinov , Artem Babenko

Quadratic and Linear Discriminant Analysis (QDA/LDA) are the most often applied classification rules under normality. In QDA, a separate covariance matrix is estimated for each group. If there are more variables than observations in the…

Methodology · Statistics 2016-12-26 Stéphanie Aerts , Ines Wilms

In latent Dirichlet allocation (LDA), topics are multinomial distributions over the entire vocabulary. However, the vocabulary usually contains many words that are not relevant in forming the topics. We adopt a variable selection method…

Machine Learning · Computer Science 2012-05-08 Dongwoo Kim , Yeonseung Chung , Alice Oh

Statistical algorithms are usually helping in making decisions in many aspects of our lives. But, how do we know if these algorithms are biased and commit unfair discrimination of a particular group of people, typically a minority?…

Statistics Theory · Mathematics 2018-07-19 Eustasio del Barrio , Fabrice Gamboa , Paula Gordaliza , Jean-Michel Loubes

Discovering governing differential equations from observational data is a fundamental challenge in scientific machine learning. Existing symbolic regression approaches rely primarily on quantitative metrics; however, real-world differential…

Artificial Intelligence · Computer Science 2026-05-11 Sum Kyun Song , Bong Gyun Shin , Jae Yong Lee

As algorithms increasingly inform and influence decisions made about individuals, it becomes increasingly important to address concerns that these algorithms might be discriminatory. The output of an algorithm can be discriminatory for many…

Machine Learning · Computer Science 2018-03-19 Úrsula Hébert-Johnson , Michael P. Kim , Omer Reingold , Guy N. Rothblum

Declarative machine learning (ML) aims at the high-level specification of ML tasks or algorithms, and automatic generation of optimized execution plans from these specifications. The fundamental goal is to simplify the usage and/or…

Databases · Computer Science 2016-05-20 Matthias Boehm , Alexandre V. Evfimievski , Niketan Pansare , Berthold Reinwald

The focus of this paper is to extend Fisher's linear discriminant analysis (LDA) to both densely re-corded functional data and sparsely observed longitudinal data for general $c$-category classification problems. We propose an efficient…

Methodology · Statistics 2017-09-07 Lu-Hung Chen , Ci-Ren Jiang

Algorithmic discrimination is a condition that arises when data-driven software unfairly treats users based on attributes like ethnicity, race, gender, sexual orientation, religion, age, disability, or other personal characteristics.…

Software Engineering · Computer Science 2024-01-18 Ramandeep Singh Dehal , Mehak Sharma , Ronnie de Souza Santos

The major challenge in designing a discriminative learning algorithm for predicting structured data is to address the computational issues arising from the exponential size of the output space. Existing algorithms make different assumptions…

Machine Learning · Computer Science 2010-06-29 Shankar Vembu