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DataViz Community COVID-19 Resources

Not an infographic today.

Free online classes, discounts on software, extended trial periods, free online data sources, etc. as a result of the COVID-19 pandemic.

As the Organizer for the DFW Data Visualization Meetup Group, I've started this publicly viewable Google Sheet for the local DataViz community listing various resources that companies are making available during the pandemic. Turns out, these are valuable to DataViz designers everywhere, not just DFW, so I'm sharing the link with all of you.

I’ll continue to update this list as I learn about new resources during the pandemic. Please use the submission link in the spreadsheet if you know of any DataViz-related offers or deals I should add!

-Randy




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Dragonboat Zee

Andrew Rickmann posted a photo:

Dragon boat racing on the Thames in Abingdon.




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Trip to Mazirbe

At the very last day of last year (2017) I took an offer to go to Mazirbe – an old fishermen village, located on coast of Baltic sea, West part of Latvia. Trip turned around to be very nice. And I got some nice shots, too.

See rest of photos from trip to Mazirbe.




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5 Critical Lessons Learned Organizing WordCamp Ann Arbor for the Third Time

In early 2014 I had just gotten married and recently moved into a new home. With two major life events out of the way, I decided I was ready to lead a WordCamp. I originally planned to organize WordCamp Detroit. I was an organizer twice before and the event had missed a year and I […]

The post 5 Critical Lessons Learned Organizing WordCamp Ann Arbor for the Third Time appeared first on Psychology of Web Design | 3.7 Blog.




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How to Create an Amazon Affiliate Store (Step by Step)

Do you want to add an Amazon affiliate store with WordPress? Amazon is the world’s largest online store that helps thousands of merchants to sell products online across the world. They have an official affiliate system that allows affiliate marketers like you to recommend Amazon products to your website’s audience and earn an affiliate commission. […]

The post How to Create an Amazon Affiliate Store (Step by Step) appeared first on IsItWP - Free WordPress Theme Detector.



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Customizing the User Registration Notification eMails

If a new user registers at a WordPress site the new user and the administrator receive notification mails: User: From: […]




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Elizabeth Gilbert: The Art of Being Yourself

Brace yourself for a TRULY powerful episode with the bestselling author and creative genius, Elizabeth Gilbert. Although best known for her memoir Eat, Pray, Love–which went on to sell over 12 million copies and became a film staring Julia Roberts—she’s also one of Time Magazine’s 100 most influential people in the world… The whole world. Spend some time with her in your ears on today’s podcast and you’ll know why in under a minute…   In this episode, we cover How Liz considers mental health her full time job, and writing / being a professional creator is a hobby.  How the only way out of pain is through honesty. Liz shares her experiences working through the loss of her partner to cancer. The things we won’t even admit to ourselves will cause us pain, even to the point of mental and physical breakdown Her latest INCREDIBLE novel called City of Girls (…a “delicious novel of glamour, sex, and adventure, about a young woman discovering that you don’t have to be a good girl to be a good person”) Why mercy is the foundation to any creative endeavor. How creativity and writing can be a tool to slow the mind during hard times. And […]

The post Elizabeth Gilbert: The Art of Being Yourself appeared first on Chase Jarvis Photography.




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Independence and the Art of Timeless Work with Zoë Keating

A cellist since the age of eight, Zoë Keating pursued electronic music and contemporary composition as part of her Liberal Arts studies at Sarah Lawrence College in New York. I came across her music almost 10 years ago and love it so much I reached out to see if she would be interested on being on the show. Not only did she respond, she left us reeling from her incredible live performance and chat on art + entrepreneurship. Now she’s back on tour with her latest album Snowmelt. In this episode, we go deep into personal growth, dealing with incredible loss, balancing parenthood and career, and landscape for independent artists. Enjoy! FOLLOW ZOË: instagram | twitter | website Listen to the Podcast Subscribe   Watch the Episode  This podcast is brought to you by CreativeLive. CreativeLive is the world’s largest hub for online creative education in photo/video, art/design, music/audio, craft/maker, money/life and the ability to make a living in any of those disciplines. They are high quality, highly curated classes taught by the world’s top experts — Pulitzer, Oscar, Grammy Award winners, New York Times best selling authors and the best entrepreneurs of our times.

The post Independence and the Art of Timeless Work with Zoë Keating appeared first on Chase Jarvis Photography.




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Unsolved Zoom Mysteries: Why We Have to Say “You’re Muted” So Much

Video conference tools are an indispensable part of the Plague Times. Google Meet, Microsoft Teams, Zoom, and their compatriots are keeping us close and connected in a physically distanced world.

As tech-savvy folks with years of cross-office collaboration, we’ve laughed at the sketches and memes about vidconf mishaps. We practice good Zoomiquette, including muting ourselves when we’re not talking.

Yet even we can’t escape one vidconf pitfall. (There but for the grace of Zoom go I.) On nearly every vidconf, someone starts to talk, and then someone else says: “Oop, you’re muted.” And, inevitably: “Oop, you’re still muted.”

That’s right: we’re trying to follow Zoomiquette by muting, but then we forget or struggle to unmute when we do want to talk.

In this post, I’ll share my theories for why the You’re Muted Problems are so pervasive, using Google Meet, Microsoft Teams, and Zoom as examples. Spoiler alert: While I hope this will help you be more mindful of the problem, I can’t offer a good solution. It still happens to me. All. The. Time.

Skip the why and go straight to the vidconf app keyboard shortcuts you should memorize right now.

Why we don't realize we’re muted before talking

Why does this keep happening?!?

Simply put: UX and design decisions make it harder to remember that you’re muted before you start to talk.

Here’s a common scenario: You haven’t talked for a bit, so you haven’t interacted with the Zoom screen for a few seconds. Then you start to talk — and that’s when someone tells you, “You’re muted.”

We forget so easily in these scenarios because when our mouse has been idle for a few seconds, the apps hide or downplay the UI elements that tell us we’re muted.

Zoom and Teams are the worst offenders:

  • Zoom hides both the toolbar with the main in-app controls (the big mute button) and the mute status indicator on your video pane thumbnail.
  • Teams hides the toolbar, and doesn't show a mute status indicator on your video thumbnail in the first place.

Meet is only slightly better:

  • Meet hides the toolbar, and shows only a small mute status icon in your video thumbnail.

Even when our mouse is active, the apps’ subtle approach to muted state UI can make it easy to forget that we’re muted:

Teams is the worst offender:

  • The mute button is an icon rather than words.
  • The muted-state icon's styling could be confused with unmuted state: Teams does not follow the common pattern of using red to denote muted state.
  • The mute button is not differentiated in visual hierarchy from all the other controls.
  • As mentioned above, Teams never shows a secondary mute status indicator.

Zoom is a bit better, but still makes it pretty easy to forget that you’re muted:

  • Pros:
    • Zoom is the only app to use words on the mute button, in this case to denote the button action (rather than the muted state).
    • The muted-state icon’s styling (red line) is less likely to be confused with the unmuted-state icon.
  • Cons:
    • The mute button’s placement (bottom left corner of the page) is easy to overlook.
    • The mute button is not differentiated in visual hierarchy from the other toolbar buttons — and Zoom has a lot of toolbar buttons, especially when logged in as host.
    • The secondary mute status indicator is a small icon.
    • The mute button’s muted-state icon is styled slightly differently from the secondary mute status indicator.
  • Potential Cons:
    • While words denote the button action, only an icon denotes the muted state.

Meet is probably the clearest of the three apps, but still has pitfalls:

  • Pros:
    • The mute button is visually prominent in the UI: It’s clearly differentiated in the visual hierarchy relative to other controls (styled as a primary button); is a large button; and is placed closer to the center of the controls bar.
    • The muted-state icon’s styling (red fill) is less likely to be confused with the unmuted-state icon.
  • Cons:
    • Uses only an icon rather than words to denote the muted state.
  • Unrelated Con:
    • While the mute button is visually prominent, it’s also placed next to the hang-up button. So in Meet’s active state you might be less likely to forget you’re muted … but more likely to accidentally hang up when trying to unmute. 😬

I know modern app design leans toward minimalism. There’s often good rationale to use icons rather than words, or to de-emphasize controls and indicators when not in use.

But again: This happens on basically every call! Often multiple times per call!! And we’re supposed to be tech-savvy!!! Imagine what it’s like for the tens of millions of vidconf newbs.

I would argue that “knowing your muted state” has turned out to be a major vidconf user need. At this point, it’s certainly worth rethinking UX patterns for.

Why we keep unsuccessfully unmuting once we realize we’re muted

So we can blame the You’re Muted Problem on UX and design. But what causes the You’re Still Muted Problem? Once we know we’re muted, why do we sometimes fail to unmute before talking again?

This one is more complicated — and definitely more speculative. To start making sense of this scenario, here’s the sequence I’m guessing most commonly plays out (I did this a couple times before I became aware of it):

The crucial part is when the person tries to unmute by pressing the keyboard Volume On/Off key.

If that’s in fact what’s happening (again, this is just a hypothesis), I’m guessing they did that because when someone says “You’re muted” or “I can’t hear you,” our subconscious thought process is: “Oh, Audio is Off. Press the keyboard key that I usually press when I want to change Audio Off to Audio On.”

There are two traps in this reflexive thought process:

First, the keyboard volume keys control the speaker volume, not the microphone volume. (More specifically, they control the system sound output settings, rather than the system sound input settings or the vidconf app’s sound input settings.)

In fact, there isn’t a keyboard key to control the microphone volume. You can’t unmute your mic via a dedicated keyboard key, the way that you can turn the speaker volume on/off via a keyboard key while watching a movie or listening to music.

Second, I think we reflexively press the keyboard key anyway because our mental model of the keyboard audio keys is just: Audio. Not microphone vs. speaker.

This fuzzy mental model makes sense: There’s only one set of keyboard keys related to audio, so why would I think to distinguish between microphone and speaker? 

So my best guess is hardware design causes the You’re Still Muted Problem. After all, keyboard designs are from a pre-Zoom era, when the average person rarely used the computer’s microphone.

If that is the cause, one potential solution is for hardware manufacturers to start including dedicated keys to control microphone volume:

Video conference keyboard shortcuts you should memorize right now

Let me know if you have other theories for the You’re Still Muted Problem!

In the meantime, the best alternative is to learn all of the vidconf app keyboard shortcuts for muting/unmuting:

  • Meet
    • Mac: Command(⌘) + D
    • Windows: Control + D
  • Teams
    • Mac: Command(⌘) + Shift + M
    • Windows: Ctrl + Shift + M
  • Zoom
    • Mac: Command(⌘) + Shift + A
    • Windows: Alt + A
    • Hold Spacebar: Temporarily unmute

Other vidconf apps not included in my analysis:

  • Cisco Webex Meetings
    • Mac: Ctrl + Alt + M
    • Windows: Ctrl + Shift + M
  • GoToMeeting

Bonus protip from Jackson Fox: If you use multiple vidconf apps, pick a keyboard shortcut that you like and manually change each app’s mute/unmute shortcut to that. Then you only have to remember one shortcut!




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A Marstrand type slicing theorem for subsets of $mathbb{Z}^2 subset mathbb{R}^2$ with the mass dimension. (arXiv:2005.02813v2 [math.CO] UPDATED)

We prove a Marstrand type slicing theorem for the subsets of the integer square lattice. This problem is the dual of the corresponding projection theorem, which was considered by Glasscock, and Lima and Moreira, with the mass and counting dimensions applied to subsets of $mathbb{Z}^{d}$. In this paper, more generally we deal with a subset of the plane that is $1$ separated, and the result for subsets of the integer lattice follow as a special case. We show that the natural slicing question in this setting is true with the mass dimension.




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Approximate Two-Sphere One-Cylinder Inequality in Parabolic Periodic Homogenization. (arXiv:2005.00989v2 [math.AP] UPDATED)

In this paper, for a family of second-order parabolic equation with rapidly oscillating and time-dependent periodic coefficients, we are interested in an approximate two-sphere one-cylinder inequality for these solutions in parabolic periodic homogenization, which implies an approximate quantitative propagation of smallness. The proof relies on the asymptotic behavior of fundamental solutions and the Lagrange interpolation technique.




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The Shearlet Transform and Lizorkin Spaces. (arXiv:2003.06642v2 [math.FA] UPDATED)

We prove a continuity result for the shearlet transform when restricted to the space of smooth and rapidly decreasing functions with all vanishing moments. We define the dual shearlet transform, called here the shearlet synthesis operator, and we prove its continuity on the space of smooth and rapidly decreasing functions over $mathbb{R}^2 imesmathbb{R} imesmathbb{R}^ imes$. Then, we use these continuity results to extend the shearlet transform to the space of Lizorkin distributions, and we prove its consistency with the classical definition for test functions.




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A stochastic approach to the synchronization of coupled oscillators. (arXiv:2002.04472v2 [nlin.AO] UPDATED)

This paper deals with an optimal control problem associated to the Kuramoto model describing the dynamical behavior of a network of coupled oscillators. Our aim is to design a suitable control function allowing us to steer the system to a synchronized configuration in which all the oscillators are aligned on the same phase. This control is computed via the minimization of a given cost functional associated with the dynamics considered. For this minimization, we propose a novel approach based on the combination of a standard Gradient Descent (GD) methodology with the recently-developed Random Batch Method (RBM) for the efficient numerical approximation of collective dynamics. Our simulations show that the employment of RBM improves the performances of the GD algorithm, reducing the computational complexity of the minimization process and allowing for a more efficient control calculation.




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Linear Convergence of First- and Zeroth-Order Primal-Dual Algorithms for Distributed Nonconvex Optimization. (arXiv:1912.12110v2 [math.OC] UPDATED)

This paper considers the distributed nonconvex optimization problem of minimizing a global cost function formed by a sum of local cost functions by using local information exchange. We first propose a distributed first-order primal-dual algorithm. We show that it converges sublinearly to the stationary point if each local cost function is smooth and linearly to the global optimum under an additional condition that the global cost function satisfies the Polyak-{L}ojasiewicz condition. This condition is weaker than strong convexity, which is a standard condition for proving the linear convergence of distributed optimization algorithms, and the global minimizer is not necessarily unique or finite. Motivated by the situations where the gradients are unavailable, we then propose a distributed zeroth-order algorithm, derived from the proposed distributed first-order algorithm by using a deterministic gradient estimator, and show that it has the same convergence properties as the proposed first-order algorithm under the same conditions. The theoretical results are illustrated by numerical simulations.




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Data-driven parameterizations of suboptimal LQR and H2 controllers. (arXiv:1912.07671v2 [math.OC] UPDATED)

In this paper we design suboptimal control laws for an unknown linear system on the basis of measured data. We focus on the suboptimal linear quadratic regulator problem and the suboptimal H2 control problem. For both problems, we establish conditions under which a given data set contains sufficient information for controller design. We follow up by providing a data-driven parameterization of all suboptimal controllers. We will illustrate our results by numerical simulations, which will reveal an interesting trade-off between the number of collected data samples and the achieved controller performance.




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Regularized vortex approximation for 2D Euler equations with transport noise. (arXiv:1912.07233v2 [math.PR] UPDATED)

We study a mean field approximation for the 2D Euler vorticity equation driven by a transport noise. We prove that the Euler equations can be approximated by interacting point vortices driven by a regularized Biot-Savart kernel and the same common noise. The approximation happens by sending the number of particles $N$ to infinity and the regularization $epsilon$ in the Biot-Savart kernel to $0$, as a suitable function of $N$.




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A one-loop exact quantization of Chern-Simons theory. (arXiv:1910.05230v2 [math-ph] UPDATED)

We examine Chern-Simons theory as a deformation of a 3-dimensional BF theory that is partially holomorphic and partially topological. In particular, we introduce a novel gauge that leads naturally to a one-loop exact quantization of this BF theory and Chern-Simons theory. This approach illuminates several important features of Chern-Simons theory, notably the bulk-boundary correspondence of Chern-Simons theory with chiral WZW theory. In addition to rigorously constructing the theory, we also explain how it applies to a large class of closely related 3-dimensional theories and some of the consequences for factorization algebras of observables.




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Multitype branching process with nonhomogeneous Poisson and generalized Polya immigration. (arXiv:1909.03684v2 [math.PR] UPDATED)

In a multitype branching process, it is assumed that immigrants arrive according to a nonhomogeneous Poisson or a generalized Polya process (both processes are formulated as a nonhomogeneous birth process with an appropriate choice of transition intensities). We show that the renormalized numbers of objects of the various types alive at time $t$ for supercritical, critical, and subcritical cases jointly converge in distribution under those two different arrival processes. Furthermore, some transient moment analysis when there are only two types of particles is provided. AMS 2000 subject classifications: Primary 60J80, 60J85; secondary 60K10, 60K25, 90B15.




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Decentralized and Parallelized Primal and Dual Accelerated Methods for Stochastic Convex Programming Problems. (arXiv:1904.09015v10 [math.OC] UPDATED)

We introduce primal and dual stochastic gradient oracle methods for decentralized convex optimization problems. Both for primal and dual oracles the proposed methods are optimal in terms of the number of communication steps. However, for all classes of the objective, the optimality in terms of the number of oracle calls per node in the class of methods with optimal number of communication steps takes place only up to a logarithmic factor and the notion of smoothness. By using mini-batching technique we show that all proposed methods with stochastic oracle can be additionally parallelized at each node.




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Mirror Symmetry for Non-Abelian Landau-Ginzburg Models. (arXiv:1812.06200v3 [math.AG] UPDATED)

We consider Landau-Ginzburg models stemming from groups comprised of non-diagonal symmetries, and we describe a rule for the mirror LG model. In particular, we present the non-abelian dual group, which serves as the appropriate choice of group for the mirror LG model. We also describe an explicit mirror map between the A-model and the B-model state spaces for two examples. Further, we prove that this mirror map is an isomorphism between the untwisted broad sectors and the narrow diagonal sectors for Fermat type polynomials.




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Effective divisors on Hurwitz spaces. (arXiv:1804.01898v3 [math.AG] UPDATED)

We prove the effectiveness of the canonical bundle of several Hurwitz spaces of degree k covers of the projective line from curves of genus 13<g<20.




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Expansion of Iterated Stratonovich Stochastic Integrals of Arbitrary Multiplicity Based on Generalized Iterated Fourier Series Converging Pointwise. (arXiv:1801.00784v9 [math.PR] UPDATED)

The article is devoted to the expansion of iterated Stratonovich stochastic integrals of arbitrary multiplicity $k$ $(kinmathbb{N})$ based on the generalized iterated Fourier series. The case of Fourier-Legendre series as well as the case of trigonotemric Fourier series are considered in details. The obtained expansion provides a possibility to represent the iterated Stratonovich stochastic integral in the form of iterated series of products of standard Gaussian random variables. Convergence in the mean of degree $2n$ $(nin mathbb{N})$ of the expansion is proved. Some modifications of the mentioned expansion were derived for the case $k=2$. One of them is based of multiple trigonomentric Fourier series converging almost everywhere in the square $[t, T]^2$. The results of the article can be applied to the numerical solution of Ito stochastic differential equations.




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On the zeros of the Riemann zeta function, twelve years later. (arXiv:0806.2361v7 [math.GM] UPDATED)

The paper proves the Riemann Hypothesis.




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Steiner symmetry in the minimization of the principal positive eigenvalue of an eigenvalue problem with indefinite weight. (arXiv:2005.03581v1 [math.AP])

In cite{CC} the authors, investigating a model of population dynamics, find the following result. Let $Omegasubset mathbb{R}^N$, $Ngeq 1$, be a bounded smooth domain. The weighted eigenvalue problem $-Delta u =lambda m u $ in $Omega$ under homogeneous Dirichlet boundary conditions, where $lambda in mathbb{R}$ and $min L^infty(Omega)$, is considered. The authors prove the existence of minimizers $check m$ of the principal positive eigenvalue $lambda_1(m)$ when $m$ varies in a class $mathcal{M}$ of functions where average, maximum, and minimum values are given. A similar result is obtained in cite{CCP} when $m$ is in the class $mathcal{G}(m_0)$ of rearrangements of a fixed $m_0in L^infty(Omega)$. In our work we establish that, if $Omega$ is Steiner symmetric, then every minimizer in cite{CC,CCP} inherits the same kind of symmetry.




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Phase Transitions for one-dimensional Lorenz-like expanding Maps. (arXiv:2005.03558v1 [math.DS])

Given an one-dimensional Lorenz-like expanding map we prove that the conditionlinebreak $P_{top}(phi,partial mathcal{P},ell)<P_{top}(phi,ell)$ (see, subsection 2.4 for definition), introduced by Buzzi and Sarig in [1] is satisfied for all continuous potentials $phi:[0,1]longrightarrow mathbb{R}$. We apply this to prove that quasi-H"older-continuous potentials (see, subsection 2.2 for definition) have at most one equilibrium measure and we construct a family of continuous but not H"older and neither weak H"older continuous potentials for which we observe phase transitions. Indeed, this class includes all H"older and weak-H"older continuous potentials and form an open and [2].




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Asymptotic behavior of Wronskian polynomials that are factorized via $p$-cores and $p$-quotients. (arXiv:2005.03516v1 [math.CA])

In this paper we consider Wronskian polynomials labeled by partitions that can be factorized via the combinatorial concepts of $p$-cores and $p$-quotients. We obtain the asymptotic behavior for these polynomials when the $p$-quotient is fixed while the size of the $p$-core grows to infinity. For this purpose, we associate the $p$-core with its characteristic vector and let all entries of this vector simultaneously tend to infinity. This result generalizes the Wronskian Hermite setting which is recovered when $p=2$.




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Continuity properties of the shearlet transform and the shearlet synthesis operator on the Lizorkin type spaces. (arXiv:2005.03505v1 [math.FA])

We develop a distributional framework for the shearlet transform $mathcal{S}_{psi}colonmathcal{S}_0(mathbb{R}^2) omathcal{S}(mathbb{S})$ and the shearlet synthesis operator $mathcal{S}^t_{psi}colonmathcal{S}(mathbb{S}) omathcal{S}_0(mathbb{R}^2)$, where $mathcal{S}_0(mathbb{R}^2)$ is the Lizorkin test function space and $mathcal{S}(mathbb{S})$ is the space of highly localized test functions on the standard shearlet group $mathbb{S}$. These spaces and their duals $mathcal{S}_0^prime (mathbb R^2),, mathcal{S}^prime (mathbb{S})$ are called Lizorkin type spaces of test functions and distributions. We analyze the continuity properties of these transforms when the admissible vector $psi$ belongs to $mathcal{S}_0(mathbb{R}^2)$. Then, we define the shearlet transform and the shearlet synthesis operator of Lizorkin type distributions as transpose mappings of the shearlet synthesis operator and the shearlet transform, respectively. They yield continuous mappings from $mathcal{S}_0^prime (mathbb R^2)$ to $mathcal{S}^prime (mathbb{S})$ and from $mathcal{S}^prime (mathbb S)$ to $mathcal{S}_0^prime (mathbb{R}^2)$. Furthermore, we show the consistency of our definition with the shearlet transform defined by direct evaluation of a distribution on the shearlets. The same can be done for the shearlet synthesis operator. Finally, we give a reconstruction formula for Lizorkin type distributions, from which follows that the action of such generalized functions can be written as an absolutely convergent integral over the standard shearlet group.




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On completion of unimodular rows over polynomial extension of finitely generated rings over $mathbb{Z}$. (arXiv:2005.03485v1 [math.AC])

In this article, we prove that if $R$ is a finitely generated ring over $mathbb{Z}$ of dimension $d, dgeq2, frac{1}{d!}in R$, then any unimodular row over $R[X]$ of length $d+1$ can be mapped to a factorial row by elementary transformations.




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Removable singularities for Lipschitz caloric functions in time varying domains. (arXiv:2005.03397v1 [math.CA])

In this paper we study removable singularities for regular $(1,1/2)$-Lipschitz solutions of the heat equation in time varying domains. We introduce an associated Lipschitz caloric capacity and we study its metric and geometric properties and the connection with the $L^2$ boundedness of the singular integral whose kernel is given by the gradient of the fundamental solution of the heat equation.




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Maximum of Exponential Random Variables, Hurwitz's Zeta Function, and the Partition Function. (arXiv:2005.03392v1 [math.PR])

A natural problem in the context of the coupon collector's problem is the behavior of the maximum of independent geometrically distributed random variables (with distinct parameters). This question has been addressed by Brennan et al. (British J. of Math. & CS. 8 (2015), 330-336). Here we provide explicit asymptotic expressions for the moments of that maximum, as well as of the maximum of exponential random variables with corresponding parameters. We also deal with the probability of each of the variables being the maximal one.

The calculations lead to expressions involving Hurwitz's zeta function at certain special points. We find here explicitly the values of the function at these points. Also, the distribution function of the maximum we deal with is closely related to the generating function of the partition function. Thus, our results (and proofs) rely on classical results pertaining to the partition function.




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A reducibility problem for even Unitary groups: The depth zero case. (arXiv:2005.03386v1 [math.RT])

We study a problem concerning parabolic induction in certain p-adic unitary groups. More precisely, for $E/F$ a quadratic extension of p-adic fields the associated unitary group $G=mathrm{U}(n,n)$ contains a parabolic subgroup $P$ with Levi component $L$ isomorphic to $mathrm{GL}_n(E)$. Let $pi$ be an irreducible supercuspidal representation of $L$ of depth zero. We use Hecke algebra methods to determine when the parabolically induced representation $iota_P^G pi$ is reducible.




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A regularity criterion of the 3D MHD equations involving one velocity and one current density component in Lorentz. (arXiv:2005.03377v1 [math.AP])

In this paper, we study the regularity criterion of weak solutions to the three-dimensional (3D) MHD equations. It is proved that the solution $(u,b)$ becomes regular provided that one velocity and one current density component of the solution satisfy% egin{equation} u_{3}in L^{frac{30alpha }{7alpha -45}}left( 0,T;L^{alpha ,infty }left( mathbb{R}^{3} ight) ight) ext{ with }frac{45}{7}% leq alpha leq infty , label{eq01} end{equation}% and egin{equation} j_{3}in L^{frac{2eta }{2eta -3}}left( 0,T;L^{eta ,infty }left( mathbb{R}^{3} ight) ight) ext{ with }frac{3}{2}leq eta leq infty , label{eq02} end{equation}% which generalize some known results.




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Revised dynamics of the Belousov-Zhabotinsky reaction model. (arXiv:2005.03325v1 [nlin.CD])

The main aim of this paper is to detect dynamical properties of the Gy"orgyi-Field model of the Belousov-Zhabotinsky chemical reaction. The corresponding three-variable model given as a set of nonlinear ordinary differential equations depends on one parameter, the flow rate. As certain values of this parameter can give rise to chaos, the analysis was performed in order to identify different dynamics regimes. Dynamical properties were qualified and quantified using classical and also new techniques. Namely, phase portraits, bifurcation diagrams, the Fourier spectra analysis, the 0-1 test for chaos, and approximate entropy. The correlation between approximate entropy and the 0-1 test for chaos was observed and described in detail. Moreover, the three-stage system of nested subintervals of flow rates, for which in every level the 0-1 test for chaos and approximate entropy was computed, is showing the same pattern. The study leads to an open problem whether the set of flow rate parameters has Cantor like structure.




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Linear independence of generalized Poincar'{e} series for anti-de Sitter $3$-manifolds. (arXiv:2005.03308v1 [math.SP])

Let $Gamma$ be a discrete group acting properly discontinuously and isometrically on the three-dimensional anti-de Sitter space $mathrm{AdS}^{3}$, and $square$ the Laplacian which is a second-order hyperbolic differential operator. We study linear independence of a family of generalized Poincar'{e} series introduced by Kassel-Kobayashi [Adv. Math. 2016], which are defined by the $Gamma$-average of certain eigenfunctions on $mathrm{AdS}^{3}$. We prove that the multiplicities of $L^{2}$-eigenvalues of the hyperbolic Laplacian $square$ on $Gammaackslashmathrm{AdS}^{3}$ are unbounded when $Gamma$ is finitely generated. Moreover, we prove that the multiplicities of extit{stable $L^{2}$-eigenvalues} for compact anti-de Sitter $3$-manifolds are unbounded.




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Lorentz estimates for quasi-linear elliptic double obstacle problems involving a Schr"odinger term. (arXiv:2005.03281v1 [math.AP])

Our goal in this article is to study the global Lorentz estimates for gradient of weak solutions to $p$-Laplace double obstacle problems involving the Schr"odinger term: $-Delta_p u + mathbb{V}|u|^{p-2}u$ with bound constraints $psi_1 le u le psi_2$ in non-smooth domains. This problem has its own interest in mathematics, engineering, physics and other branches of science. Our approach makes a novel connection between the study of Calder'on-Zygmund theory for nonlinear Schr"odinger type equations and variational inequalities for double obstacle problems.




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Generalized log-sum inequalities. (arXiv:2005.03272v1 [math.FA])

In information theory, the so-called log-sum inequality is fundamental and a kind of generalization of the non-nagativity for the relative entropy. In this paper, we show the generalized log-sum inequality for two functions defined for scalars. We also give a new result for commutative matrices. In addition, we demonstrate further results for general non-commutative positive semi-definite matrices.




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Generalized Cauchy-Kovalevskaya extension and plane wave decompositions in superspace. (arXiv:2005.03160v1 [math-ph])

The aim of this paper is to obtain a generalized CK-extension theorem in superspace for the bi-axial Dirac operator. In the classical commuting case, this result can be written as a power series of Bessel type of certain differential operators acting on a single initial function. In the superspace setting, novel structures appear in the cases of negative even superdimensions. In these cases, the CK-extension depends on two initial functions on which two power series of differential operators act. These series are not only of Bessel type but they give rise to an additional structure in terms of Appell polynomials. This pattern also is present in the structure of the Pizzetti formula, which describes integration over the supersphere in terms of differential operators. We make this relation explicit by studying the decomposition of the generalized CK-extension into plane waves integrated over the supersphere. Moreover, these results are applied to obtain a decomposition of the Cauchy kernel in superspace into monogenic plane waves, which shall be useful for inverting the super Radon transform.




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Deformation classes in generalized K"ahler geometry. (arXiv:2005.03062v1 [math.DG])

We introduce natural deformation classes of generalized K"ahler structures using the Courant symmetry group. We show that these yield natural extensions of the notions of K"ahler class and K"ahler cone to generalized K"ahler geometry. Lastly we show that the generalized K"ahler-Ricci flow preserves this generalized K"ahler cone, and the underlying real Poisson tensor.




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Quantization of Lax integrable systems and Conformal Field Theory. (arXiv:2005.03053v1 [math-ph])

We present the correspondence between Lax integrable systems with spectral parameter on a Riemann surface, and Conformal Field Theories, in quite general set-up suggested earlier by the author. This correspondence turns out to give a prequantization of the integrable systems in question.




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Safe non-smooth black-box optimization with application to policy search. (arXiv:1912.09466v3 [math.OC] UPDATED)

For safety-critical black-box optimization tasks, observations of the constraints and the objective are often noisy and available only for the feasible points. We propose an approach based on log barriers to find a local solution of a non-convex non-smooth black-box optimization problem $min f^0(x)$ subject to $f^i(x)leq 0,~ i = 1,ldots, m$, at the same time, guaranteeing constraint satisfaction while learning an optimal solution with high probability. Our proposed algorithm exploits noisy observations to iteratively improve on an initial safe point until convergence. We derive the convergence rate and prove safety of our algorithm. We demonstrate its performance in an application to an iterative control design problem.




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Novel Deep Learning Framework for Wideband Spectrum Characterization at Sub-Nyquist Rate. (arXiv:1912.05255v2 [eess.SP] UPDATED)

Introduction of spectrum-sharing in 5G and subsequent generation networks demand base-station(s) with the capability to characterize the wideband spectrum spanned over licensed, shared and unlicensed non-contiguous frequency bands. Spectrum characterization involves the identification of vacant bands along with center frequency and parameters (energy, modulation, etc.) of occupied bands. Such characterization at Nyquist sampling is area and power-hungry due to the need for high-speed digitization. Though sub-Nyquist sampling (SNS) offers an excellent alternative when the spectrum is sparse, it suffers from poor performance at low signal to noise ratio (SNR) and demands careful design and integration of digital reconstruction, tunable channelizer and characterization algorithms. In this paper, we propose a novel deep-learning framework via a single unified pipeline to accomplish two tasks: 1)~Reconstruct the signal directly from sub-Nyquist samples, and 2)~Wideband spectrum characterization. The proposed approach eliminates the need for complex signal conditioning between reconstruction and characterization and does not need complex tunable channelizers. We extensively compare the performance of our framework for a wide range of modulation schemes, SNR and channel conditions. We show that the proposed framework outperforms existing SNS based approaches and characterization performance approaches to Nyquist sampling-based framework with an increase in SNR. Easy to design and integrate along with a single unified deep learning framework make the proposed architecture a good candidate for reconfigurable platforms.




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Over-the-Air Computation Systems: Optimization, Analysis and Scaling Laws. (arXiv:1909.00329v2 [cs.IT] UPDATED)

For future Internet of Things (IoT)-based Big Data applications (e.g., smart cities/transportation), wireless data collection from ubiquitous massive smart sensors with limited spectrum bandwidth is very challenging. On the other hand, to interpret the meaning behind the collected data, it is also challenging for edge fusion centers running computing tasks over large data sets with limited computation capacity. To tackle these challenges, by exploiting the superposition property of a multiple-access channel and the functional decomposition properties, the recently proposed technique, over-the-air computation (AirComp), enables an effective joint data collection and computation from concurrent sensor transmissions. In this paper, we focus on a single-antenna AirComp system consisting of $K$ sensors and one receiver (i.e., the fusion center). We consider an optimization problem to minimize the computation mean-squared error (MSE) of the $K$ sensors' signals at the receiver by optimizing the transmitting-receiving (Tx-Rx) policy, under the peak power constraint of each sensor. Although the problem is not convex, we derive the computation-optimal policy in closed form. Also, we comprehensively investigate the ergodic performance of AirComp systems in terms of the average computation MSE and the average power consumption under Rayleigh fading channels with different Tx-Rx policies. For the computation-optimal policy, we prove that its average computation MSE has a decay rate of $O(1/sqrt{K})$, and our numerical results illustrate that the policy also has a vanishing average power consumption with the increasing $K$, which jointly show the computation effectiveness and the energy efficiency of the policy with a large number of sensors.




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Asymptotic expansions of eigenvalues by both the Crouzeix-Raviart and enriched Crouzeix-Raviart elements. (arXiv:1902.09524v2 [math.NA] UPDATED)

Asymptotic expansions are derived for eigenvalues produced by both the Crouzeix-Raviart element and the enriched Crouzeix--Raviart element. The expansions are optimal in the sense that extrapolation eigenvalues based on them admit a fourth order convergence provided that exact eigenfunctions are smooth enough. The major challenge in establishing the expansions comes from the fact that the canonical interpolation of both nonconforming elements lacks a crucial superclose property, and the nonconformity of both elements. The main idea is to employ the relation between the lowest-order mixed Raviart--Thomas element and the two nonconforming elements, and consequently make use of the superclose property of the canonical interpolation of the lowest-order mixed Raviart--Thomas element. To overcome the difficulty caused by the nonconformity, the commuting property of the canonical interpolation operators of both nonconforming elements is further used, which turns the consistency error problem into an interpolation error problem. Then, a series of new results are obtained to show the final expansions.




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Learning Direct Optimization for Scene Understanding. (arXiv:1812.07524v2 [cs.CV] UPDATED)

We develop a Learning Direct Optimization (LiDO) method for the refinement of a latent variable model that describes input image x. Our goal is to explain a single image x with an interpretable 3D computer graphics model having scene graph latent variables z (such as object appearance, camera position). Given a current estimate of z we can render a prediction of the image g(z), which can be compared to the image x. The standard way to proceed is then to measure the error E(x, g(z)) between the two, and use an optimizer to minimize the error. However, it is unknown which error measure E would be most effective for simultaneously addressing issues such as misaligned objects, occlusions, textures, etc. In contrast, the LiDO approach trains a Prediction Network to predict an update directly to correct z, rather than minimizing the error with respect to z. Experiments show that our LiDO method converges rapidly as it does not need to perform a search on the error landscape, produces better solutions than error-based competitors, and is able to handle the mismatch between the data and the fitted scene model. We apply LiDO to a realistic synthetic dataset, and show that the method also transfers to work well with real images.




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ZebraLancer: Decentralized Crowdsourcing of Human Knowledge atop Open Blockchain. (arXiv:1803.01256v5 [cs.HC] UPDATED)

We design and implement the first private and anonymous decentralized crowdsourcing system ZebraLancer, and overcome two fundamental challenges of decentralizing crowdsourcing, i.e., data leakage and identity breach.

First, our outsource-then-prove methodology resolves the tension between the blockchain transparency and the data confidentiality to guarantee the basic utilities/fairness requirements of data crowdsourcing, thus ensuring: (i) a requester will not pay more than what data deserve, according to a policy announced when her task is published via the blockchain; (ii) each worker indeed gets a payment based on the policy, if he submits data to the blockchain; (iii) the above properties are realized not only without a central arbiter, but also without leaking the data to the open blockchain. Second, the transparency of blockchain allows one to infer private information about workers and requesters through their participation history. Simply enabling anonymity is seemingly attempting but will allow malicious workers to submit multiple times to reap rewards. ZebraLancer also overcomes this problem by allowing anonymous requests/submissions without sacrificing accountability. The idea behind is a subtle linkability: if a worker submits twice to a task, anyone can link the submissions, or else he stays anonymous and unlinkable across tasks. To realize this delicate linkability, we put forward a novel cryptographic concept, i.e., the common-prefix-linkable anonymous authentication. We remark the new anonymous authentication scheme might be of independent interest. Finally, we implement our protocol for a common image annotation task and deploy it in a test net of Ethereum. The experiment results show the applicability of our protocol atop the existing real-world blockchain.




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The Zhou Ordinal of Labelled Markov Processes over Separable Spaces. (arXiv:2005.03630v1 [cs.LO])

There exist two notions of equivalence of behavior between states of a Labelled Markov Process (LMP): state bisimilarity and event bisimilarity. The first one can be considered as an appropriate generalization to continuous spaces of Larsen and Skou's probabilistic bisimilarity, while the second one is characterized by a natural logic. C. Zhou expressed state bisimilarity as the greatest fixed point of an operator $mathcal{O}$, and thus introduced an ordinal measure of the discrepancy between it and event bisimilarity. We call this ordinal the "Zhou ordinal" of $mathbb{S}$, $mathfrak{Z}(mathbb{S})$. When $mathfrak{Z}(mathbb{S})=0$, $mathbb{S}$ satisfies the Hennessy-Milner property. The second author proved the existence of an LMP $mathbb{S}$ with $mathfrak{Z}(mathbb{S}) geq 1$ and Zhou showed that there are LMPs having an infinite Zhou ordinal. In this paper we show that there are LMPs $mathbb{S}$ over separable metrizable spaces having arbitrary large countable $mathfrak{Z}(mathbb{S})$ and that it is consistent with the axioms of $mathit{ZFC}$ that there is such a process with an uncountable Zhou ordinal.




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Seismic Shot Gather Noise Localization Using a Multi-Scale Feature-Fusion-Based Neural Network. (arXiv:2005.03626v1 [cs.CV])

Deep learning-based models, such as convolutional neural networks, have advanced various segments of computer vision. However, this technology is rarely applied to seismic shot gather noise localization problem. This letter presents an investigation on the effectiveness of a multi-scale feature-fusion-based network for seismic shot-gather noise localization. Herein, we describe the following: (1) the construction of a real-world dataset of seismic noise localization based on 6,500 seismograms; (2) a multi-scale feature-fusion-based detector that uses the MobileNet combined with the Feature Pyramid Net as the backbone; and (3) the Single Shot multi-box detector for box classification/regression. Additionally, we propose the use of the Focal Loss function that improves the detector's prediction accuracy. The proposed detector achieves an AP@0.5 of 78.67\% in our empirical evaluation.




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Efficient Exact Verification of Binarized Neural Networks. (arXiv:2005.03597v1 [cs.AI])

We present a new system, EEV, for verifying binarized neural networks (BNNs). We formulate BNN verification as a Boolean satisfiability problem (SAT) with reified cardinality constraints of the form $y = (x_1 + cdots + x_n le b)$, where $x_i$ and $y$ are Boolean variables possibly with negation and $b$ is an integer constant. We also identify two properties, specifically balanced weight sparsity and lower cardinality bounds, that reduce the verification complexity of BNNs. EEV contains both a SAT solver enhanced to handle reified cardinality constraints natively and novel training strategies designed to reduce verification complexity by delivering networks with improved sparsity properties and cardinality bounds. We demonstrate the effectiveness of EEV by presenting the first exact verification results for $ell_{infty}$-bounded adversarial robustness of nontrivial convolutional BNNs on the MNIST and CIFAR10 datasets. Our results also show that, depending on the dataset and network architecture, our techniques verify BNNs between a factor of ten to ten thousand times faster than the best previous exact verification techniques for either binarized or real-valued networks.




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A Tale of Two Perplexities: Sensitivity of Neural Language Models to Lexical Retrieval Deficits in Dementia of the Alzheimer's Type. (arXiv:2005.03593v1 [cs.CL])

In recent years there has been a burgeoning interest in the use of computational methods to distinguish between elicited speech samples produced by patients with dementia, and those from healthy controls. The difference between perplexity estimates from two neural language models (LMs) - one trained on transcripts of speech produced by healthy participants and the other trained on transcripts from patients with dementia - as a single feature for diagnostic classification of unseen transcripts has been shown to produce state-of-the-art performance. However, little is known about why this approach is effective, and on account of the lack of case/control matching in the most widely-used evaluation set of transcripts (DementiaBank), it is unclear if these approaches are truly diagnostic, or are sensitive to other variables. In this paper, we interrogate neural LMs trained on participants with and without dementia using synthetic narratives previously developed to simulate progressive semantic dementia by manipulating lexical frequency. We find that perplexity of neural LMs is strongly and differentially associated with lexical frequency, and that a mixture model resulting from interpolating control and dementia LMs improves upon the current state-of-the-art for models trained on transcript text exclusively.




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QuickSync: A Quickly Synchronizing PoS-Based Blockchain Protocol. (arXiv:2005.03564v1 [cs.CR])

To implement a blockchain, we need a blockchain protocol for all the nodes to follow. To design a blockchain protocol, we need a block publisher selection mechanism and a chain selection rule. In Proof-of-Stake (PoS) based blockchain protocols, block publisher selection mechanism selects the node to publish the next block based on the relative stake held by the node. However, PoS protocols may face vulnerability to fully adaptive corruptions. In literature, researchers address this issue at the cost of performance.

In this paper, we propose a novel PoS-based blockchain protocol, QuickSync, to achieve security against fully adaptive corruptions without compromising on performance. We propose a metric called block power, a value defined for each block, derived from the output of the verifiable random function based on the digital signature of the block publisher. With this metric, we compute chain power, the sum of block powers of all the blocks comprising the chain, for all the valid chains. These metrics are a function of the block publisher's stake to enable the PoS aspect of the protocol. The chain selection rule selects the chain with the highest chain power as the one to extend. This chain selection rule hence determines the selected block publisher of the previous block. When we use metrics to define the chain selection rule, it may lead to vulnerabilities against Sybil attacks. QuickSync uses a Sybil attack resistant function implemented using histogram matching. We prove that QuickSync satisfies common prefix, chain growth, and chain quality properties and hence it is secure. We also show that it is resilient to different types of adversarial attack strategies. Our analysis demonstrates that QuickSync performs better than Bitcoin by an order of magnitude on both transactions per second and time to finality, and better than Ouroboros v1 by a factor of three on time to finality.