activity
20132023
most citedDistribution of Powers Modulo 1 and Related Topics

2 citations · 6 across the 8 of their papers we have counts for

collaborators

8 papers

cs.LG2023★ 2 cited

Pre or Post-Softmax Scores in Gradient-based Attribution Methods, What is Best?

Miguel Lerma, Mirtha Lucas

Gradient based attribution methods for neural networks working as classifiers use gradients of network scores. Here we discuss the practical differences between using gradients of…

cs.LG2023

A Vulnerability of Attribution Methods Using Pre-Softmax Scores

Miguel Lerma, Mirtha Lucas

We discuss a vulnerability involving a category of attribution methods used to provide explanations for the outputs of convolutional neural networks working as classifiers. It is k…

cs.CV2022★ 1 cited

Grad-CAM++ is Equivalent to Grad-CAM With Positive Gradients

Miguel Lerma, Mirtha Lucas

The Grad-CAM algorithm provides a way to identify what parts of an image contribute most to the output of a classifier deep network. The algorithm is simple and widely used for loc…

cs.CV2022

Baseline Computation for Attribution Methods Based on Interpolated Inputs

Miguel Lerma, Mirtha Lucas

We discuss a way to find a well behaved baseline for attribution methods that work by feeding a neural network with a sequence of interpolated inputs between two given inputs. Then…

cs.LG2021

Symmetry-Preserving Paths in Integrated Gradients

Miguel Lerma, Mirtha Lucas

We provide rigorous proofs that the Integrated Gradients (IG) attribution method for deep networks satisfies completeness and symmetry-preserving properties. We also study the uniq…

cs.DS2014

How inefficient can a sort algorithm be?

Miguel A. Lerma

We find large lower bounds for a certain family of algorithms, and prove that such bounds are limited only by natural computability arguments.

math.NT2013★ 2 cited

Distribution of Powers Modulo 1 and Related Topics

Miguel A. Lerma

This is a review of several results related to distribution of powers and combination of powers modulo 1. We include a proof that given a sequence of real numbers , it is poss…

physics.optics2013★ 1 cited

A Mirror Based Event Cloaking Device

Miguel A. Lerma

We propose a way of implementing an event cloaking device without the use of metamaterials. Rather than slowing down and speeding up light, we manipulate an obscurity gap by divert…