28 citations · 48 across the 20 of their papers we have counts for
27 papers
Beyond Fixed Points: Superpolynomial Capacity of Asymmetric Hopfield Networks
Aakash Kumar, Anatoly Khina, Frederik Mallmann-Trenn +1
Classical Hopfield networks are limited to static patterns due to symmetric weights, whereas asymmetric networks can encode temporal sequences via limit-cycle attractors. Achieving…
Markovian Continuity of the MMSE
Elad Domanovitz, Anatoly Khina
Minimum mean square error (MMSE) estimation is widely used in signal processing, information theory, and related fields. Despite its practical robustness, the MMSE can be discontin…
Batch Normalization Decomposed
Ido Nachum, Marco Bondaschi, Michael Gastpar +1
\emph{Batch normalization} is a successful building block of neural network architectures. Yet, it is not well understood. A neural network layer with batch normalization comprises…
Information Velocity of Cascaded Gaussian Channels with Feedback
Elad Domanovitz, Anatoly Khina, Tal Philosof +1
We consider a line network of nodes, connected by additive white Gaussian noise channels, equipped with local feedback. We study the velocity at which information spreads over this…
Modulation and Estimation with a Helper
Anatoly Khina, Neri Merhav
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…
The Information Velocity of Packet-Erasure Links
Elad Domanovitz, Tal Philosof, Anatoly Khina
We consider the problem of in-order packet transmission over a cascade of packet-erasure links with acknowledgment (ACK) signals, interconnected by relays. We treat first the case…
A Johnson--Lindenstrauss Framework for Randomly Initialized CNNs
Ido Nachum, Jan Hązła, Michael Gastpar +1
How does the geometric representation of a dataset change after the application of each randomly initialized layer of a neural network? The celebrated Johnson--Lindenstrauss lemma…
Energy-limited Joint Source--Channel Coding via Analog Pulse Position Modulation
Omri Lev, Anatoly Khina
We study the problem of transmitting a source sample with minimum distortion over an infinite-bandwidth additive white Gaussian noise channel under an energy constraint. To that en…
Universal Joint Source-Channel Coding Under an Input Energy Constraint
Omri Lev, Anatoly Khina
We consider the problem of transmitting a source over an infinite-bandwidth additive white Gaussian noise channel with unknown noise level under an input energy constraint. We cons…
Causal Posterior Matching and its Applications
Anusha Lalitha, Anatoly Khina, Tara Javidi
We consider the problem of communication over the binary symmetric channel with feedback, where the information sequence is made available in a causal, possibly random, fashion. We…
Monotonicity of the Trace-Inverse of Covariance Submatrices and Two-Sided Prediction
Anatoly Khina, Arie Yeredor, Ram Zamir
It is common to assess the "memory strength" of a stationary process looking at how fast the normalized log-determinant of its covariance submatrices (i.e., entropy rate) decreases…
Real-Time Variable-to-Fixed Lossless Source Coding of Randomly Arriving Symbols
Uri Abend, Anatoly Khina
We address the recently suggested problem of causal lossless coding of a randomly arriving source samples. We construct variable-to-fixed coding schemes and show that they outperfo…
Schemes for LQG Control over Gaussian Channels with Side Information
Omri Lev, Anatoly Khina
We consider the problem of controlling an unstable scalar linear plant over a power-constrained additive white Gaussian noise (AWGN) channel, where the controller/receiver has acce…
Gauss-Markov Source Tracking with Side Information: Lower Bounds
Omri Lev, Anatoly Khina
We consider the problem of causal source coding and causal decoding of a Gauss--Markov source, where the decoder has causal access to a side-information signal. We define the infor…
Algorithms for Optimal Control with Fixed-Rate Feedback
Anatoly Khina, Yorie Nakahira, Yu Su +2
We consider a discrete-time linear quadratic Gaussian networked control setting where the (full information) observer and controller are separated by a fixed-rate noiseless channel…
Learning-based attacks in cyber-physical systems
Mohammad Javad Khojasteh, Anatoly Khina, Massimo Franceschetti +1
We introduce the problem of learning-based attacks in a simple abstraction of cyber-physical systems---the case of a discrete-time, linear, time-invariant plant that may be subject…
Tracking and Control of Gauss-Markov Processes over Packet-Drop Channels with Acknowledgments
Anatoly Khina, Victoria Kostina, Ashish Khisti +1
We consider the problem of tracking the state of Gauss-Markov processes over rate-limited erasure-prone links. We concentrate first on the scenario in which several independent pro…
Multi-Rate Control over AWGN Channels via Analog Joint Source-Channel Coding
Anatoly Khina, Gustav M. Pettersson, Victoria Kostina +1
We consider the problem of controlling an unstable plant over an additive white Gaussian noise (AWGN) channel with a transmit power constraint, where the signaling rate of communic…
(Almost) Practical Tree Codes
Anatoly Khina, Wael Halbawi, Babak Hassibi
We consider the problem of stabilizing an unstable plant driven by bounded noise over a digital noisy communication link, a scenario at the heart of networked control. To stabilize…
Layered Uplink Transmission in Clustered Cellular Networks
Anatoly Khina, Tal Philosof, Moshe Laifenfeld
The demand for higher data rates and the scarce spectrum resources drive the adoption of collaborative communication techniques. In this work we shown that the existing cluster bas…
The Dirty MIMO Multiple-Access Channel
Anatoly Khina, Yuval Kochman, Uri Erez
In the scalar dirty multiple-access channel, in addition to Gaussian noise, two additive interference signals are present, each known non-causally to a single transmitter. It was s…
The MIMO Wiretap Channel Decomposed
Anatoly Khina, Yuval Kochman, Ashish Khisti
The problem of sending a secret message over the Gaussian multiple-input multiple-output (MIMO) wiretap channel is studied. While the capacity of this channel is known, it is not c…
Joint Unitary Triangularization for Gaussian Multi-User MIMO Networks
Anatoly Khina, Idan Livni, Ayal Hitron +1
The problem of transmitting a common message to multiple users over the Gaussian multiple-input multiple-output broadcast channel is considered, where each user is equipped with an…
Space-Time MIMO Multicasting
Idan Livni, Anatoly Khina, Ayal Hitron +1
Multicasting is the general method of conveying the same information to multiple users over a broadcast channel. In this work, the Gaussian MIMO broadcast channel is considered, wi…