Gunnar Sjodin's scientific contributions

Publications (4)

Article
We present and examine a result related to uncertainty reasoning, namely that a certain plausibility measure of Cox's type can be uniquely embedded in a minimal ordered field. This, although a purely mathematical result, can be claimed to imply that every rational method to reason with uncertainty must be based on sets of extended probability distr...
Article
We discuss precise assumptions entailing Bayesianism in the line of investigations started by Cox, and relate them to a recent critique by Halpern. We show that every finite model which cannot be rescaled to probability violates a natural and simple refinability principle. We characterize the acceptable ways to handle uncertainty in infinite models...
Conference Paper
A method for converging in the sparse distribution memory, utilizing the Jaeckel activation mechanism, is presented. This is done by identifying the possible errors in the address
Conference Paper
An important property for any memory system is the ability to form higher-level concepts from lower-level ones in a robust way. This process is in the article called chunking. It is also important that such higher-level concepts can be analyzed, i.e., broken down into their constituent parts. This is called probing and clean-up. These issues have p...

Citations

... The original Kanerva's design is more similar to the immune memory operating (according to the model of Derek Smith, Stephanie Forrest, and Alan Perelson, 1996 [6]). BSDR [7][8][9] is a subclass of Vector Symbolic Architecture (VSA) formed at the turn of the 2000s [10,11]. The general requirements of VSA are local error tolerance, the ability to express complex relationships such as hierarchical, key-value type, symbolic sequences, etc., distributed in long codevectors. ...
... • Arnborg and Sjodin (1999) offer an alternative to Cox's proof with a refinability Axiom that replaces Paris' Density Axiom, with the intent of ruling out Halpern's counterexample. Their subsequent work (Arnborg and Sjodin (2003)) also lists other possible Axioms to replace Density, along with a discussion regarding the implications of both Cox's proof and de Finetti's proof. ...