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pro vyhledávání: '"A, Merhav"'
Autor:
Merhav, Neri
We propose two families of asymptotically local minimax lower bounds on parameter estimation performance. The first family of bounds applies to any convex, symmetric loss function that depends solely on the difference between the estimate and the tru
Externí odkaz:
http://arxiv.org/abs/2409.12491
Autor:
Merhav, Neri
This article stands as a tribute to the enduring legacy of Jacob Ziv and his landmark contributions to information theory. Specifically, it delves into the groundbreaking individual-sequence approach -- a cornerstone of Ziv's academic pursuits. Toget
Externí odkaz:
http://arxiv.org/abs/2406.02904
Autor:
Merhav, Neri, Weinberger, Nir
This monograph offers a toolbox of mathematical techniques, which have been effective and widely applicable in information-theoretic analysis. The first tool is a generalization of the method of types to Gaussian settings, and then to general exponen
Externí odkaz:
http://arxiv.org/abs/2406.00744
Autor:
Merhav, Neri
We refine and extend Ziv's model and results regarding perfectly secure encryption of individual sequences. According to this model, the encrypter and the legitimate decrypter share in common a secret key, not shared with the unauthorized eavesdroppe
Externí odkaz:
http://arxiv.org/abs/2405.05752
Autor:
Marciano, Yossi, Merhav, Neri
In continuation of an earlier study, we explore a Neymann-Pearson hypothesis testing scenario where, under the null hypothesis ($\cal{H}_0$), the received signal is a white noise process $N_t$, which is not Gaussian in general, and under the alternat
Externí odkaz:
http://arxiv.org/abs/2405.02931
Autor:
Merhav, Neri
We establish a coding theorem and a matching converse theorem for separate encodings and joint decoding of individual sequences using finite-state machines. The achievable rate region is characterized in terms of the Lempel-Ziv (LZ) complexities, the
Externí odkaz:
http://arxiv.org/abs/2403.07409
Autor:
Merhav, Neri
We extend Ziv and Lempel's model of finite-state encoders to the realm of lossy compression of individual sequences. In particular, the model of the encoder includes a finite-state reconstruction codebook followed by an information lossless finite-st
Externí odkaz:
http://arxiv.org/abs/2401.01779
Autor:
Khina, Anatoly, Merhav, Neri
The problem of transmitting a parameter value over an additive white Gaussian noise (AWGN) channel is considered, where, in addition to the transmitter and the receiver, there is a helper that observes the noise non-causally and provides a descriptio
Externí odkaz:
http://arxiv.org/abs/2309.04277
Autor:
Merhav, Neri
We consider the problem of parameter estimation, based on noisy chaotic signals, from the viewpoint of twisted modulation for waveform communication. In particular, we study communication systems where the parameter to be estimated is conveyed as the
Externí odkaz:
http://arxiv.org/abs/2308.00506
Autor:
Merhav, Neri
It is well known that the traditional Jensen inequality is proved by lower bounding the given convex function, $f(x)$, by the tangential affine function that passes through the point $(E\{X\},f(E\{X\}))$, where $E\{X\}$ is the expectation of the rand
Externí odkaz:
http://arxiv.org/abs/2304.03063