34 citations · 121 across the 14 of their papers we have counts for
15 papers
Lossy Compression for Robust Unsupervised Time-Series Anomaly Detection
Christopher P. Ley, Jorge F. Silva
A new Lossy Causal Temporal Convolutional Neural Network Autoencoder for anomaly detection is proposed in this work. Our framework uses a rate-distortion loss and an entropy bottle…
Data-Driven Representations for Testing Independence: Modeling, Analysis and Connection with Mutual Information Estimation
Mauricio E. Gonzalez, Jorge F. Silva, Miguel Videla +1
This work addresses testing the independence of two continuous and finite-dimensional random variables from the design of a data-driven partition. The empirical log-likelihood stat…
On Universal D-Semifaithful Coding for Memoryless Sources with Infinite Alphabets
Jorge F. Silva, Pablo Piantanida
The problem of variable length and fixed-distortion universal source coding (or D-semifaithful source coding) for stationary and memoryless sources on countably infinite alphabets…
Compressibility Analysis of Asymptotically Mean Stationary Processes
Jorge F. Silva
This work provides new results for the analysis of random sequences in terms of -compressibility. The results characterize the degree in which a random sequence can be appr…
Finite-Length Bounds on Hypothesis Testing Subject to Vanishing Type I Error Restrictions
Sebastian Espinosa, Jorge F. Silva, Pablo Piantanida
A central problem in Binary Hypothesis Testing (BHT) is to determine the optimal tradeoff between the Type I error (referred to as false alarm) and Type II (referred to as miss) er…
On the Exponential Approximation of Type II Error Probability of Distributed Test of Independence
Sebastian Espinosa, Jorge F. Silva, Pablo Piantanida
This paper studies distributed binary test of statistical independence under communication (information bits) constraints. While testing independence is very relevant in various ap…
Visual binary stars with partially missing data: Introducing multiple imputation in astrometric analysis
Ruben M. Claveria, Rene A. Mendez, Jorge F. Silva +1
Partial measurements of relative position are a relatively common event during the observation of visual binary stars. However, these observations are typically discarded when esti…
Optimality of the Maximum Likelihood estimator in Astrometry
Sebastian Espinosa, Jorge F. Silva, Rene A. Mendez +2
The problem of astrometry is revisited from the perspective of analyzing the attainability of well-known performance limits (the Cramer-Rao bound) for the estimation of the relativ…
Shannon Entropy Estimation in -Alphabets from Convergence Results
Jorge F. Silva
The problem of Shannon entropy estimation in countable infinite alphabets is addressed from the study and use of convergence results of the entropy functional, which is known to be…
Orbits for eighteen visual binaries and two double-line spectroscopic binaries observed with HRCAM on the CTIO SOAR 4m telescope, using a new Bayesian orbit code based on Markov Chain Monte Carlo
Rene A. Mendez, Ruben M. Claveria, Marcos E. Orchard +1
We present orbital elements and mass sums for eighteen visual binary stars of spectral types B to K (five of which are new orbits) with periods ranging from 20 to more than 500 yr.…
Universal Weak Variable-Length Source Coding on Countable Infinite Alphabets
Jorge F. Silva, Pablo Piantanida
Motivated from the fact that universal source coding on countably infinite alphabets is not feasible, this work introduces the notion of almost lossless source coding. Analog to th…
Analysis of the Bayesian Cramer-Rao lower bound in astrometry: Studying the impact of prior information in the location of an object
Alex Echeverria, Jorge F. Silva, Rene A. Mendez +1
Context. The best precision that can be achieved to estimate the location of a stellar-like object is a topic of permanent interest in the astrometric community. Aims. We analyse b…
Performance analysis of the Least-Squares estimator in Astrometry
Rodrigo A. Lobos, Jorge F. Silva, Rene A. Mendez +1
We characterize the performance of the widely-used least-squares estimator in astrometry in terms of a comparison with the Cramer-Rao lower variance bound. In this inference contex…
Analysis of the Cramer-Rao lower uncertainty bound in the joint estimation of astrometry and photometry
Rene A. Mendez, Jorge F. Silva, Rodrigo Orsotica +1
In this paper we use the Cramer-Rao lower uncertainty bound to estimate the maximum precision that could be achieved on the joint simultaneous (or 2D) estimation of photometry and…
Analysis and interpretation of the Cramer-Rao lower-bound in astrometry: One dimensional case
Rene Mendez, Jorge Silva, Rodrigo Lobos
In this paper we explore the maximum precision attainable in the location of a point source imaged by a pixel array detector in the presence of a background, as a function of the d…