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Tishby, Naftali
Multi-Electrode Spike Sorting by Clustering Transfer Functions
Rinberg, Dmitry, Davidowitz, Hanan, Tishby, Naftali
Since every electrode is in a different position it will measure a different contribution from each of the different neurons. Simply stated, the problem is this: how can these complex signals be untangled to determine when each individual cell fired? This problem is difficult because, a) the objects being classified are very similar and often noisy, b) spikes coming from the same cell can ยทPermanent address: Institute of Computer Science and Center for Neural Computation, The Hebrew University, Jerusalem, Israel.
Multi-Electrode Spike Sorting by Clustering Transfer Functions
Rinberg, Dmitry, Davidowitz, Hanan, Tishby, Naftali
Since every electrode is in a different position it will measure a different contribution from each of the different neurons. Simply stated, the problem is this: how can these complex signals be untangled to determine when each individual cell fired? This problem is difficult because, a) the objects being classified are very similar and often noisy, b) spikes coming from the same cell can ยทPermanent address: Institute of Computer Science and Center for Neural Computation, TheHebrew University, Jerusalem, Israel.
Synergy and Redundancy among Brain Cells of Behaving Monkeys
Gat, Itay, Tishby, Naftali
While it is unlikely that complete information from any macroscopic neural tissue will ever be available, some interesting insight can be obtained from simultaneously recorded cells in the cortex of behaving animals. The question we address in this study is the level of synergy, or the level of cooperation, among brain cells, as determined by the information they provide about the observed behavior of the animal.
Synergy and Redundancy among Brain Cells of Behaving Monkeys
Gat, Itay, Tishby, Naftali
Determining the relationship between the activity of a single nerve cell to that of an entire population is a fundamental question that bears on the basic neural computation paradigms. In this paper we apply an information theoretic approach to quantify the level of cooperative activity among cells in a behavioral context. It is possible to discriminate between synergetic activity of the cells vs. redundant activity, depending on the difference between the information they provide when measured jointly and the information they provide independently. We define a synergy value that is positive in the first case and negative in the second and show that the synergy value can be measured by detecting the behavioral mode of the animal from simultaneously recorded activity of the cells. We observe that among cortical cells positive synergy can be found, while cells from the basal ganglia, active during the same task, do not exhibit similar synergetic activity.
Multi-Electrode Spike Sorting by Clustering Transfer Functions
Rinberg, Dmitry, Davidowitz, Hanan, Tishby, Naftali
Since every electrode is in a different position it will measure a different contribution from each of the different neurons. Simply stated, the problem is this: how can these complex signals be untangled to determine when each individual cell fired? This problem is difficult because, a) the objects being classified are very similar and often noisy, b) spikes coming from the same cell can ยทPermanent address: Institute of Computer Science and Center for Neural Computation, The Hebrew University, Jerusalem, Israel.
Agnostic Classification of Markovian Sequences
El-Yaniv, Ran, Fine, Shai, Tishby, Naftali
Classification of finite sequences without explicit knowledge of their statistical nature is a fundamental problem with many important applications. We propose a new information theoretic approach to this problem which is based on the following ingredients: (i) sequences are similar when they are likely to be generated by the same source; (ii) cross entropies can be estimated via "universal compression"; (iii) Markovian sequences can be asymptotically-optimally merged. With these ingredients we design a method for the classification of discrete sequences whenever they can be compressed. We introduce the method and illustrate its application for hierarchical clustering of languages and for estimating similarities of protein sequences.
Agnostic Classification of Markovian Sequences
El-Yaniv, Ran, Fine, Shai, Tishby, Naftali
Classification of finite sequences without explicit knowledge of their statistical nature is a fundamental problem with many important applications. We propose a new information theoretic approach to this problem which is based on the following ingredients: (i) sequences aresimilar when they are likely to be generated by the same source; (ii) cross entropies can be estimated via "universal compression"; (iii)Markovian sequences can be asymptotically-optimally merged. With these ingredients we design a method for the classification of discrete sequences whenever they can be compressed. We introduce the method and illustrate its application for hierarchical clustering of languages and for estimating similarities of protein sequences.
Agnostic Classification of Markovian Sequences
El-Yaniv, Ran, Fine, Shai, Tishby, Naftali
Classification of finite sequences without explicit knowledge of their statistical nature is a fundamental problem with many important applications. We propose a new information theoretic approach to this problem which is based on the following ingredients: (i) sequences are similar when they are likely to be generated by the same source; (ii) cross entropies can be estimated via "universal compression"; (iii) Markovian sequences can be asymptotically-optimally merged. With these ingredients we design a method for the classification of discrete sequences whenever they can be compressed. We introduce the method and illustrate its application for hierarchical clustering of languages and for estimating similarities of protein sequences.
Decoding Cursive Scripts
Singer, Yoram, Tishby, Naftali
Online cursive handwriting recognition is currently one of the most intriguing challenges in pattern recognition. This study presents a novel approach to this problem which is composed of two complementary phases.The first is dynamic encoding of the writing trajectory into a compact sequence of discrete motor control symbols. In this compact representation we largely remove the redundancy of the script, while preserving most of its intelligible components. In the second phase these control sequences are used to train adaptive probabilistic acyclic automata (PAA) for the important ingredients of the writing trajectories, e.g.