After recalling the different interpretations usually assigned to the term Galois connection, both in the crisp and in the fuzzy case, we survey on several of their applications in Computer Science and, specifically, in Soft Computing.

Throughout this lecture, we let k denote an algebraically closed field, a prime number which is invertible in k, and X an algebraic curve over k. We begin by recalling a variant of a construction from the previous lecture.

An algorithmic proof of General Neron Desingularization is given here for one dimensional local rings and it is implemented in Singular. Also a theorem recalling Greenberg’ strong approximation theorem is presented for one dimensional local rings.

Abstract We reiterate the theoretical basics of holographic associative memory, and conduct two experiments. During first experiment, we teach system many associations, while during second it only one association. In both cases, recalling capability is examined from different aspects.

This paper proposes a low-cost incremental learning method of Generalized Radial Basis Function (GRBF) for a Case Based Reasoning (CBR) system. A CBR system is one type of reasoning system that uses past cases for solving new problems. To realize the reasoning, the system has to search a past case which is similar to the new problem from a case database. If such case is found, the system has to...

The forgotten dream proved central to the early development of Sigmund Freud's psychoanalytic technique in The Interpretation of Dreams (1900). However, little attention has been paid to the shifting uses of forgotten dreams within psychotherapeutic practice over the course of the twentieth century. This paper argues that post-war psychotherapists in London, both Jungian and Freudian, developed...

Consumers frequently consume items to the point where they no longer enjoy them. In a pilot study and two experiments spanning three distinct classes of stimuli, we find that people can recover from this satiation by simply recalling the variety of alternative items they have consumed in the past. And yet, people seem to exhibit “variety amnesia” in that they do not spontaneously recall this pa...

This paper presents a study of the effect of one instance of contextual cues, trajectory reminders, on the recollection of location sharing preferences elicited using a retrospective protocol. Trajectory reminders are user interface elements that indicate for a particular location of a person’s trail across a city the locations visited before and after. The results of the study show that remind...

We address challenges of active learning under scarce informational resources in nonstationary environments. In real-world settings, data labeled and integrated into a predictive model may become invalid over time. However, the data can become informative again with switches in context and such changes may indicate unmodeled cyclic or other temporal dynamics. We explore principles for discardin...