We study the problem of parameterized matching in a stream where we want to output matches between a pattern of length m and the last m symbols of the stream before the next symbol arrives. Parameterized matching is a natural generalisation of exact matching where an arbitrary one-to-one relabelling of pattern symbols is allowed. We show how this problem can be solved in constant time per arriv...

We propose a public-key traitor tracing scheme in which (1) the size of a ciphertext is sublinear in the number of receivers and (2) black-box tracing is efficiently achieved against self-defensive pirate decoders. When assuming that a pirate decoder can take some self-defensive reaction (e.g., erasing all of the internal keys and shutting down) to escape from tracing if it detects tracing, it ...

We will present an algorithm, based on SA-techniques and a sampling procedure, that colors a given random 3-colorable graph with high probability in sublinear time. This result is the rst theoretical justiication of many excellent experimental performance results of Simulated Annealing 10, 17] applied to graph coloring problems.

Spherical "myoballs" were grown under tissue culture conditions from striated muscle of neonatal rat thighs. The myoballs were examined electrophysiologically with a suction pipette which was used to pass current and perfuse internally. A microelectrode was used to record membrane potential. Experiments were performed with approximately symmetrical (intracellular and extracellular) sodium aspar...

We derive global in time a priori bounds on higherlevel energy norms of strong solutions to a semilinear wave equation: in particular, we prove that despite the influence of a nonlinear source, the evolution of a smooth initial state is globally bounded in the strong topology ∼ H × H. And the bound is uniform with respect to the corresponding norm of the initial data. It is known that an m-accr...

The study of turbulent flame speeds (the large time front speeds) is a fundamental problem in turbulent combustion theory. A significant project is to understand how the turbulent flame speed (sT ) depends on the flow intensity (A). G-equation is a very popular level set flame propagation model in turbulent combustion community. The main purpose of this paper is to study properties of limA→+∞ s...

The problem of order-preserving matching has gained attention lately. The text and the pattern consist of numbers. The task is to find all substrings in the text which have the same relative order as the pattern. The problem has applications in analysis of time series like stock market or weather data. Solutions based on the KMP and BMH algorithms have been presented earlier. We present a new s...

Online learning algorithms are designed to learn even when their input is generated by an adversary. The widely-accepted formal definition of an online algorithm’s ability to learn is the game-theoretic notion of regret. We argue that the standard definition of regret becomes inadequate if the adversary is allowed to adapt to the online algorithm’s actions. We define the alternative notion of p...

Inputs from the two eyes are first combined in simple cells in the primary visual cortex. Consequently, visual cortical neurons need to have the flexibility to encode visual features under both monocular and binocular situations. Here we show that binocular orientation selectivity of mouse simple cells is nearly identical to monocular orientation selectivity in both anaesthetized and awake cond...

Two properties concerning the space of differences of sublinear functions D(X) for a real Banach space X are proved. First, we show that for a real separable Banach space (X, ‖ · ‖) there exists a countable family of seminorms such that D(X) becomes a Fréchet space. For X = R this construction yields a norm such that D(R) becomes a Banach space. Furthermore, we show that for a real Banach space...