Recently, we witness a significant amount of effort being put into a research of robustness of complex computer systems. Computer scientists noticed that, despite decades of investigations into dependability, computer systems still lack the degree of resilience which can be seen in biological systems. In the biological context, one of the main aspects that stand behind a system’s robustness is ...

Understanding the effects of degeneracy control mechanisms when learning overcomplete representations is crucial for applying Independent Components Analysis (ICA) in machine learning and theoretical neuroscience. A number of approaches to degeneracy control have been proposed which can learn non-degenerate complete representations, however some of these methods can fall into bad local minima w...

It has been proposed that degeneracy plays a fundamental role in biological evolution by facilitating robustness and adaptation within heterogeneous and time-variant environments. Degeneracy occurs whenever structurally distinct agents display similar functions within some contexts but unique functions in others. In order to test the broader applicability of this hypothesis, especially to the f...

This paper presents the first direct implementation of the positive edge criterion using COIN-OR's CLP, where it has been combined with the Devex pivot rule. Positive edge is designed to take advantage of degeneracy in linear programming. The original implementation, while yielding strong computational results, suffers from significant overhead caused by CPLEX not allowingmodification of its st...

We consider a quasistatic quantum Otto cycle using two effectively two-level systems with degeneracy in the excited state. The systems are coupled through isotropic exchange interaction of strength J>0, in the presence of an external magnetic field B which is varied during the cycle. We prove the positive work condition and show that level degeneracy can act as a thermodynamic resource, so that...

We analyze degeneracy characterizations for two classical problems: the transportation paradox in linear transportation problems and the pure constant fixed charge transportation problem. Solving the pure constant fixed charge problem is equivalent to finding a basic tree solution with maximum degree of degeneracy. Problems possess degenerate solutions if the equal subsum property is satisfied ...

We investigate a detail of a dodecamer cluster ordering in a double-exchange spin ice model on a kagomé lattice. In frustrated systems, ordinary spin orderings are suppressed and macroscopic degeneracy remains down to low temperatures. In some frustrated systems, the degeneracy is lifted due to residual interactions and cluster orderings are stabilized. In the present model, the spin ice state ...

It happens that s and ŝ are equal with 0.1% accuracy, though they are split by radiative corrections and a natural estimate for their difference is 1%. This degeneracy occurs only for mt value close to 170 GeV, so no deep physical reason can be attributed to it. However, another puzzle of the Standard Model, the degeneracy of s eff and s, is not independent of the previous one since a good phys...

The degeneracy of two-phase disordered microstructures consistent with a specified correlation function is analyzed by mapping it to a ground-state degeneracy. We determine for the first time the associated density of states via a Monte Carlo algorithm. Our results are explained in terms of the roughness of an energy landscape, defined on a hypercubic configuration space. The use of a Hamming d...