4 citations · 8 across the 8 of their papers we have counts for
8 papers
Beyond ECE: Calibrated Size Ratio, Risk Assessment, and Confidence-Weighted Metrics
Fernando Martin-Maroto, Nabil Abderrahaman, Gonzalo G. de Polavieja
Confidence calibration has been dominated by the Expected Calibration Error (ECE), a linear metric that counts calibration offset equally regardless of the confidence level at whic…
Algebraic Machine Learning: Learning as computing an algebraic decomposition of a task
Fernando Martin-Maroto, Nabil Abderrahaman, David Mendez +1
Statistics and Optimization are foundational to modern Machine Learning. Here, we propose an alternative foundation based on Abstract Algebra, with mathematics that facilitates the…
Semantic Embeddings in Semilattices
Fernando Martin-Maroto, Gonzalo G. de Polavieja
To represent anything from mathematical concepts to real-world objects, we have to resort to an encoding. Encodings, such as written language, usually assume a decoder that underst…
Finite Atomized Semilattices
Fernando Martin-Maroto, Gonzalo G. de Polavieja
We show that every finite semilattice can be represented as an atomized semilattice, an algebraic structure with additional elements (atoms) that extend the semilattice's partial o…
Supervised dimensionality reduction by a Linear Discriminant Analysis on pre-trained CNN features
Francisco J. H. Heras, Gonzalo G. de Polavieja
We explore the application of linear discriminant analysis (LDA) to the features obtained in different layers of pretrained deep convolutional neural networks (CNNs). The advantage…
Algebraic Machine Learning
Fernando Martin-Maroto, Gonzalo G. de Polavieja
Machine learning algorithms use error function minimization to fit a large set of parameters in a preexisting model. However, error minimization eventually leads to a memorization…
Bayesian Social Influence in the Online Realm
Przemyslaw A. Grabowicz, Francisco Romero-Ferrero, Theo Lins +3
Our opinions, which things we like or dislike, depend on the opinions of those around us. Nowadays, we are influenced by the opinions of online strangers, expressed in comments and…
A Model of Decision-Making in Groups of Humans
Gabriel Madirolas, Alfonso Perez-Escudero, Gonzalo G. de Polavieja
Decisions by humans depend on their estimations given some uncertain sensory data. These decisions can also be influenced by the behavior of others. Here we present a mathematical…