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Further comments on "Two counterexamples to Aizermańs conjecture"
1975 Edition, Volume 20, October 1, 1975 - IEEE - Institute of Electrical and Electronics Engineers, Inc.
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Revisiting Kalman and Aizerman Conjectures via a Graphical Interpretation
Volume PP - IEEE - Institute of Electrical and Electronics Engineers, Inc.

The article revisits Aizerman and Kalman conjectures for absolute stability through the lens of a novel graphical interpretation. Even though these conjectures have been proven false, such a graphical interpretation suggests natural ways to introduce additional...

Revisiting Kalman and Aizerman conjectures
2017 Edition, December 1, 2017 - IEEE - Institute of Electrical and Electronics Engineers, Inc.

The article revisits Aizerman and Kalman conjectures for absolute stability through the lens of a novel graphical interpretation. Even though these conjectures are false in the general case, such a graphical interpretation suggests natural ways to introduce additional...

50 Years of the Golomb–Welch Conjecture
Volume PP - IEEE - Institute of Electrical and Electronics Engineers, Inc.

Since 1968, when the Golomb-Welch conjecture was raised, it has become the main motive power behind the progress in the area of the perfect Lee codes. Although there is a vast literature on the topic and it is widely believed to be true, this conjecture is far from being...

A Reduction Approach to the Multiple-Unicast Conjecture in Network Coding
Volume PP - IEEE - Institute of Electrical and Electronics Engineers, Inc.

The multiple-unicast conjecture in network coding states that for multiple unicast sessions in an undirected network, network coding has no advantage over routing in improving the throughput or saving bandwidth. In this work, we propose a reduction method to study the multiple-unicast...

One Note about the Tu-Deng Conjecture in Case w(t)=5
Volume PP - IEEE - Institute of Electrical and Electronics Engineers, Inc.

Let k ≥ 2 be an integer, define St := {(a,b) ∈ Z2|0 ≤ a,b ≤ 2k - 2,a + b = t(mod 2k - 1),w(a)+w(b) ≤ k - 1}, where t ∈ Z; 1 ≤ t ≤ 2k - 2. This paper gives the upper bound of cardinality of St in the case of w(t) = 5. With this one, we conclude that a conjecture proposed by Tu and Deng in...

Private Information Retrieval from MDS Coded Data with Colluding Servers: Settling a Conjecture by Freij-Hollanti et al.
Volume PP - IEEE - Institute of Electrical and Electronics Engineers, Inc.

A (K,N,T,Kc) instance of private information retrieval from MDS coded data with colluding servers (in short, MDS-TPIR), is comprised of K messages and N distributed servers. Each message is separately encoded through a (Kc,N) MDS storage code. A user wishes to retrieve one message, as...

LP relaxations and Fuglede's conjecture
2018 Edition, June 1, 2018 - IEEE - Institute of Electrical and Electronics Engineers, Inc.

Consider a unitary (up to scaling) submatrix of the Fourier matrix with rows indexed by $\mathcal{I}$ and columns indexed by $\mathcal{J}$ . From the column index set $\mathcal{J}$ we construct a graph $\mathcal{G}$ so that the row index set $\mathcal{I}$ determines a max-clique....

Detecting Socially Significant Music Events using Temporally Noisy Labels
Volume PP - IEEE - Institute of Electrical and Electronics Engineers, Inc.

In this paper, we focus on event detection over the timeline of a music track. Such technology is motivated by the need for innovative applications such as searching, non-linearaccess and recommendation. Event detection over the timeline requires time-code level labels in order to...

Kalman Conjecture for Resonant Second-Order Systems with Time Delay
2018 Edition, December 1, 2018 - IEEE - Institute of Electrical and Electronics Engineers, Inc.

We construct Zames-Falb multipliers for second-order systems with time delay. There are at least two equality constraints on the multiplier phase in the limiting case as the damping ratio tends to zero and the gain approaches the Nyquist gain. Nevertheless we demonstrate a...

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