Researchers from Brown University have built DeepONet, a novel neural network-based model that can efficiently learn both linear and nonlinear operators. This novel model was inspired by earlier studies led by researchers at Fudan University.
A continuous function does not have any abrupt changes in value. More precisely, small changes in continuous function’s output can be assured by restricting to sufficiently small changes in its input. Many studies show that artificial neural networks (ANN) are highly efficient approximators of continuous functions. However, not many studies have yet focused on their ability to approximate nonlinear operators.
Inspired by the papers published by Chen and Chen at Fudan University, which discusses the functional approximation using a single layer of neurons, the researchers decided to explore the possibility of building a neural network that could approximate both linear and nonlinear operators
I tried to approximate the max operator using: max_c {f(c)} ~= (sum_c { [f(c)]^n } )^1/n but the problem got quite complicated. Any other ideas?
With the disruption of an internal reserve electron source condenser array driven through overdrive reaction by a subspace injection from the osseous induction manifold, it can cause this action which under normal configuration would cancel out.
The G2 excitatory accelerator resonator emits a 1x10 erg output, counteracting a radiative meta particle field from the delta induction emission chromatic emitters. The load-in threshold flow regulator augers, maintains an onsite lower dimensional exotic fluid conduits where most of it precipitates and the remainder of the vortices that are formed due to the field oscillation, are redirected back into the supra Q vacuole. This process is carried out by a low frequency, high intensity, kaleidoscopic pulse of meta particle nuclear fusion by the beta cortical addite-on reaction chamber.
The gradient nucleator chamber, generates an integral leak of symmetrically distributed, known and unobservable form factors throughout the internal quark-gluon particle framework. This allows for a controlled flow of meta particles in the centripetal force of which it's momentum is ejected into the quark-gluon thickened-subspace field. The counter force by the Q1 generator, is applied to reverse the resulting matrix phenomena and return back to a normal mass density state. The accumulator chamber acts as a bosonic equilibrium stabilizer for inverted space augmentation by photonic conversion to prevent subquantum degradation through subspace dissolution at all times.
The nonlinear injection, on layer maximum velocity reversal multisystem, is separated into primary and secondary components by the super-charged infuser clusters. Maximum counterforce thrust is produced in the condenser clusters of an actively producing meta particle field that accelerated towards a unidirectional path set for particles to reach light speed without causing a spontaneous decay by approaching relativistic speeds. The mass redistribution matrix regulator executes a necessary controlled skewing subquantum mechanics reversal, in order to direct trapped space-time subspaces back into superposition conditions that did not appear before the singularity injection cycle. This exponentially decreases dilatant degenerating spacetimes from rupturing into overlapped voids or render total extraction something less than what would otherwise be infinite and instead consume only a normal amount of energy, associating with its transformation into mass. Rotation is power
... keep reading on reddit ➡Hello everyone! And happy new year!
This spring I am teaching a graduate course on Control Theory in the mathematics department at my university, and this is going to be a great learning experience for me. I got my PhD almost a decade ago studying functional analysis and operator theory, but then I went on to do two postdocs focusing on nonlinear controls.
I've always felt that I missed out on learning linear controls, and so I'm using this class to really dive into the subject. I have about 10 books I'm pulling from, where I am trying to strike the balance between advanced mathematical material and some more boots on the ground (for a mathematician) control theory.
It's surprisingly difficult to find a textbook that covers both the mathematics and the control theory well. Sontag's text does a decent job, but some of the topics I want to cover (like H infinity control) aren't in there. However, Doyle, Francis, and Tannenbaum's textbook covers H infinity controls, but only mention the essential mathematics in passing.
And none seem to really go deep enough to give a rigorous definition of the Laplace transform on Distributions (like the delta function)! Yamamoto's textbook From Vector Space to Function Spaces does a half way decent job, but then pushes the important proofs off into references. So I have a whole library I'm using to teach a single class.
H infinity control theory is a great little space to explore the interconnection between some operator theory and controls. It rests on the mathematical framework of Nevanlinna Pick interpolation, which concerns operators over reproducing Kernel Hilbert Spaces (specifically the Hardy space of the half plane). But I'll also go into PID controllers, cover Nyquist's stability theorem, and other fundamental concepts from controls.
This video here is my introduction to the course, and I'm currently editing the lecture on the definition of the Laplace transform for distributions. It should be a lot of fun!
Let me know if you have any pointers, references, or advice. I'm happy to learn as much as I can :)
I have been reading about Substitution-Permutation Networks for a few hours, and after realizing there is very little info on the web on it (and less than a page in the "Serious Cryptography" book), I think I am starting to get a sense that it boils down to first doing substitutions on the input, followed by permutations, back and forth :] Took a while to realize that's all that was going on. But I still don't get what that entails at a practical level.
https://preview.redd.it/91gi221gxtc81.png?width=712&format=png&auto=webp&s=1a67c63376b7c5cdca1e9ef6fd7c2820ffd0ba89
Can you construct an extremely basic example of a Substitution–Permutation Network on the fly, to demonstrate how the rounds of substitution boxes (S-boxes) and permutation boxes (P-boxes) work? I would like to see a very simple example, doesn't need to be secure or even correct, just something to get the ball rolling. Even better would be some pseudo-code to show how it would run, but that isn't totally necessary.
From what I understand, AES uses a form of SPNs somehow, but their example makes it seem way more complex.
https://preview.redd.it/qsupfy12ytc81.png?width=1544&format=png&auto=webp&s=8bcf5552c543e15a886b1e13f2cb0fea00f7951d
Hence, trying to come up with a simple primitive example of an SPN that demonstrates the main 2 components of a round. If you were to make one up, what would you do? I see that coming up with "sboxes" is a challenge, though I am still learning about those so don't have any pressing questions yet on that. Just trying to focus on the basics of SPNs.
Knuckle dragging engineering student here getting twisted up with mathematics definitions.
I completely understand the additivity and homogeneity rules:
L(f(x)+g(x)) = L(f(x)) + L(g(x)); L(kf(x)) = kL(f(x))
Totally understood, basically the same as linear functions. I have this problem from the text that I think may just be poorly written. It's asking to determine if the following operator is linear (using dumby numbers here), where D = d/dx, D^2=d^2/dx^2:
8x^3D^2 + 2xD + 7
That's all it gives me. How is it the operator is supposed to applied? Just the same as multiplying (f(x)+g(x)), where it's obviously linear? Or do I substitute in for x where its obviously nonlinear? Or assumed d/dx \equiv d/dx (f(x)), and plug in (f(x)+g(x)) after each differential operator for f(x), where the constant makes it nonlinear? No guidance in the text whatsoever and online resources are conflicting.
2021 was the year I got back into gaming after a generation of drifting away from the hobby. In the mid year I gave some backstory and reviewed the first 40 games so with this post i'll drive straight into the 30 games I completed over the past 3 months:
(note: I will omit the few 2021 games I played from this - of which there are 2. If someon is curious I can post them in the comments)
Spyro 2: Riptos Rage - 8/10
Does everything a sequel should do. Spyro 2 leaves the addictive collecting and tight platforming of the first game untouched and builds around it by expanding the level design in size, adding more NPC interactions and throwing in mini games and side quests to break up the platforming sections, but not so much that you get sick of them. Unlike year of the dragon it doesn't fall into the trap of constantly taking you out of the core gameplay, and as such is the most balanced of the spyro games.
Flower - 6/10
A really gorgeous game focused on non-verbal storytelling where you literally play as a petal flowing through open fields, slowly bringing life back to the landscape around you. I've seen people describe this as an "interactive wallpaper" and can't say I really disagree, but that doesn't mean it's not relaxing to play and pretty to look at. Overall it feels like a warmup for ThatGameCompany before they stuck the landing with Journey. Enjoyable but not special today in a sea of similar indie games, though in 2009 this was pretty special. There's a direct throughline between this game's release and the modern artsy indie game scene.
Sonic 3 & Knuckles - 9/10
Personal nostalgia aside, this is clearly the best of the classic sonic trilogy from the mega drive, and one of the greatest 16 bit era platformers ever made. Sonic 2 fixed up the obvious flaws in the original game, and kept momentum and nonlinearity at the forefront of the level design. With no obvious flaws to fix, sonic 3 has the harder task of taking everything good about it’s predecessor and turning it up to 11, and it does exactly that. All the hallmarks of good 2D sonic is here; sprawling labyrinth-like level design, an energetic soundtrack, vibrant colours and cool theme - and sonic 3 adds to that by making every zone seamlessly flow into the next with small cutscenes (sometimes even between acts) that give purpose to the main progression. Of co
... keep reading on reddit ➡Nassim Taleb
Fooled by Randomness
- Survivorship Bias means you don't hear from the losers on a topic, you only hear from the winners.
- Watch out judging a person by their results because history will only show you the winners. You won't hear the stories of the losers
- Over short terms, you see variance, not returns. Don't monitor your portfolio on a daily basis
- AFTER an event has occurred, it is easy to make a story as to why it happened and why people should have seen it. But it is difficult to see in advance BEFORE it happens
- Events are more random than we think
- Negative pangs cause a 2.5x more emotional response than a positive one
- It is not how likely an event is to happen that matters, it is how much is made or lost when it happens that should be the consideration
- Maximize your profit expectancy, not probability
- I try to benefit from "rare events", events that do not tend to repeat themselves frequently
- I believe that rare events are not fairly valued, and that the rarer the event, the more undervalued it will be in price
- Investors for pure emotional reasons, will be drawn into strategies that experience rare but large variations.
- Pascal's Wager – The optimal strategy for humans is to believe in God because if God does exist the believer will be rewarded and if he doesn't exist, the believer has nothing to lose.
- IE - Inequality of outcomes, don't try to pick up nickels in front of a train
- There is no point in searching for patterns that are available to everyone; once detected, they would be self-canceling
- "One cannot judge a performance in any given field by the results, but by the costs of the alternative (i.e. if history played out in a different way). Such substitutes courses of events are called alternative histories. Cleary the quality of a decision cannot be solely judged based on its outcome.
- Past events will always look less random than they were (hindsight bias)
- Probability almost never presents itself as a mathematical problem or brain teaser
- No one accepts randomness in their success, only in their failure
- Take into account the costs of mistakes
- Bad information is worse than no information at all
- 5 traits of a Market Fool
- Overestimating accuracy of data or overconfidence
- Getting married to positions
- Changing story
- No plans for taking losses or exit strategy
- Denial of luck and randomness
**
... keep reading on reddit ➡I don't want to step on anybody's toes here, but the amount of non-dad jokes here in this subreddit really annoys me. First of all, dad jokes CAN be NSFW, it clearly says so in the sub rules. Secondly, it doesn't automatically make it a dad joke if it's from a conversation between you and your child. Most importantly, the jokes that your CHILDREN tell YOU are not dad jokes. The point of a dad joke is that it's so cheesy only a dad who's trying to be funny would make such a joke. That's it. They are stupid plays on words, lame puns and so on. There has to be a clever pun or wordplay for it to be considered a dad joke.
Again, to all the fellow dads, I apologise if I'm sounding too harsh. But I just needed to get it off my chest.
This timeline is for the fanfiction, "Summoning India", which is currently being written. It does not describe what is going to happen, but what happened before the teleportation event. This would help give anyone a brief understanding of this Alternate India from 2000, so that no one gets confused with the IRL one.
And yes, I know this is like a bio chapter but hey, I don't want people coming to me and being like, "Hey India had Su-30MK in the year 2000, not the F-16! And why is India using the M113 and not the BMP-1/2!!!"
Link for my fanfiction's cover art
Also sorry for any mistakes, I am new to Reddit and still figuring out myself.
Time line starts from here.
1947- After 200 years under British rule, British India gained its Independence. As per the Indian Independence Act passed in the Westminster Parliament, the British Raj was partitioned into two separate independent nations, Secular Dominion of India under the elected Prime Minister Vallabhai Patel and Muslim dominated Dominion of Pakistan.
(Change of leadership - Vallabhai Patel was a man of action and known for his support for his armed forces and a strong united nation, both internal and external power projection. Thus Nehru becoming his deputy here instead )
1947/48- First Indo-Pak War. Both nations were still suffering from the communal violence that had ensued following the partition when an armed conflict arose on the question of who will take the Princely State of Jammu and Kashmir. The war began with a surprise Pakistan sponsored raider attack, overwhelming the State forces.
The ruler of the state, King Hari Singh signed the instrument of accession, which allowed the Indian Army to move in and fight off the raiders. Consequently, regular Pakistani Armed Forces entered combat and, after a year of intense fighting, the United Nations brokered a ceasefire. They left Pakistan with a third of Kashmir and India the rest.
[The Point of Divergence]
August 1950- India answers the call to arms by the United Nations and sends 6 Battalions (4200 soldiers) of the 1st Gorkha Rifles and an Army Medical unit 60th Parachute Field Ambulance to assist the Republic of Korea (South Koreans) in the Korean war. This act puts India to be seen in a better light by the United States and its allies. Indian troops would go on to fight commendably in the war, gaining widespread recognitio
... keep reading on reddit ➡Well, this came later than I thought. For those who haven’t seen the earlier posts: hi, I do a thing where I read some short story collections and post thoughts on each story in them. I think it’s a fun exercise. Some other folks here on horrorlit seem to enjoy reading them. This one is coming later than expected because between sickness and returning to college, I got behind on my personal reading. Whoops. Anyways. Short stories!
Houses Under the Sea by Caitlín R. Kiernan
Caitlín R. Kiernan is an author with a massive bibliography that spans decades, so while I’ve read a couple of their collections, I’m fully aware that it’s practically nothing compared to the monolith that is their entire writing career. What I have read, I’ve really enjoyed. If you’re not familiar with their works, Kiernan writes genre fiction (sci-fi and fantasy too, not exclusively horror) with a really uniquely poetic style. Houses Under the Sea is a goddamn huge collection of their Cthulhu Mythos short stories written over the years. It’s got 30 stories, and the (sadly out of print) physical copy is close to 500 pages. I’m eager to dig into it. (As a side note: while I enjoy the Mythos, I’m not an expert in every single one of Lovecraft’s works, so if I miss any references, feel free to point them out and/or castigate me in the comments.)
-
“Valentia (1994)” – A paleontologist gets word that a colleague of hers died under mysterious circumstances during a dig in Ireland, and when she tries to piece together what exactly it was that he discovered, things start to get strange. A quiet story that keeps the Mythos elements in the background, and a good start to the collection. (As a side note, Kiernan is actually a paleontologist who’s written a whole lot on prehistoric ocean life, so I will not be surprised if ancient sea creatures of the more earthly kind show up alongside Cthulhu and the gang throughout the book.)
-
“So Runs the World Away” – The story of a young undead girl who spends time among communities of traditional vampires and Lovecraft’s canine ghouls in modern-day New England. It’s a pretty relaxed story that’s content to just let you follow a character through two different types of undead groups, with the vampires being the rich aristocratic sort and the ghouls being something like a more gore-soaked version of the vampire gang from The Lost Boys. It’s a chill story with some really great atmosphere that shows off Kiernan’s goth-ier writing tendencies.
I have some tech electives that I was thinking about taking, but am unsure of which ones may be more applicable or useful in medical devices industry. Here are the course descriptions for each:
- Nanophotonics: In contrast to traditional optics, nanophotonics is a relatively young and rapidly developing field which aims at controlling and manipulating light in the nanoscale (comparable or smaller than wavelengths of light), in order to achieve properties and performances beyond those of traditional optics. This course will focus on the theoretical foundations of nanophotonics, as well as cover a range of topics on its applications including microscopy, imaging, sensing, energy conversion, etc.
- Principles of Networking: Telecommunication networks play a key role in the development of our society. The remote interconnection of all types of devices, ranging from personal computers, cellphones and tablets, to data centers or distributed sensors, are at the basis of many of our daily activities. In this course, the fundamental concepts of telecommunication networks will be introduced. A bottom-up layered approach will be used to explain how the performance requirements of telecommunication networks have been traditionally solved. In particular, the functionalities of the physical layer, e.g., information modulation, transmission and reception; data link layer, e.g., flow control, error control and medium access control; network layer, e.g., information routing and forwarding; transport layer, e.g., end-to-end reliable transport and QoS provisioning, and application layer, will be discussed in detail. In addition to the theoretical lectures, guided experimental assignments with advanced network simulation and monitoring tools will be conducted to better illustrate the concepts learnt in the class. This course will provide the students with the necessary knowledge to understand current data communication networks as well as to contribute to the development of next generation telecommunication systems.
- Solid State Sensors: The course provides complete coverage of all-important aspects of all modern semiconductor sensor devices. The course offers detailed coverage of the fabrication technologies for semiconductor sensor devices. The course also offers description of characteristics and operational principles of the entire spectrum of devices made from silicon and other semiconductors. The sen
Alot of great jokes get posted here! However just because you have a joke, doesn't mean it's a dad joke.
THIS IS NOT ABOUT NSFW, THIS IS ABOUT LONG JOKES, BLONDE JOKES, SEXUAL JOKES, KNOCK KNOCK JOKES, POLITICAL JOKES, ETC BEING POSTED IN A DAD JOKE SUB
Try telling these sexual jokes that get posted here, to your kid and see how your spouse likes it.. if that goes well, Try telling one of your friends kid about your sex life being like Coca cola, first it was normal, than light and now zero , and see if the parents are OK with you telling their kid the "dad joke"
I'm not even referencing the NSFW, I'm saying Dad jokes are corny, and sometimes painful, not sexual
So check out r/jokes for all types of jokes
r/unclejokes for dirty jokes
r/3amjokes for real weird and alot of OC
r/cleandadjokes If your really sick of seeing not dad jokes in r/dadjokes
Punchline !
Edit: this is not a post about NSFW , This is about jokes, knock knock jokes, blonde jokes, political jokes etc being posted in a dad joke sub
Edit 2: don't touch the thermostat
They were cooked in Greece.
I'm surprised it hasn't decade.
Don't you know a good pun is its own reword?
Two muffins are in an oven, one muffin looks at the other and says "is it just me, or is it hot in here?"
Then the other muffin says "AHH, TALKING MUFFIN!!!"
Ants don’t even have the concept fathers, let alone a good dad joke. Keep r/ants out of my r/dadjokes.
But no, seriously. I understand rule 7 is great to have intelligent discussion, but sometimes it feels like 1 in 10 posts here is someone getting upset about the jokes on this sub. Let the mods deal with it, they regulate the sub.
For context I'm a Refuse Driver (Garbage man) & today I was on food waste. After I'd tipped I was checking the wagon for any defects when I spotted a lone pea balanced on the lifts.
I said "hey look, an escaPEA"
No one near me but it didn't half make me laugh for a good hour or so!
Edit: I can't believe how much this has blown up. Thank you everyone I've had a blast reading through the replies 😂
It really does, I swear!
And now I’m cannelloni
Because she wanted to see the task manager.
And boy are my arms legs.
But that’s comparing apples to oranges
Heard they've been doing some shady business.
but then I remembered it was ground this morning.
Edit: Thank you guys for the awards, they're much nicer than the cardboard sleeve I've been using and reassures me that my jokes aren't stale
Edit 2: I have already been made aware that Men In Black 3 has told a version of this joke before. If the joke is not new to you, please enjoy any of the single origin puns in the comments
They’re on standbi
Title: "My MIL thinks I'm an absolute moron" (Rarelink / Revlink)
I read this one last night before it gained steam and my immediate thoughts were: sure, it's annoying when someone assumes you have less knowledge about an area you actually have a lot of experience with. I get it. I have older family that talks down to me sometimes as if I'm a child who still doesn't understand how the world works. It's frustrating when that happens, but I assume that's pretty common with older relatives.
But for all the other examples OP listed, it's not that MIL thinks you're a moron, OP. It's that you keep deliberately messing with her, and she doesn't understand that you're messing with her, so she engages with you in good faith. And honestly, the fact that you keep messing with her on purpose for your own little "jokes" is super mean.
Take the bread example: MIL asks OP to bring French bread, so OP buys French bread. But to "test" MIL as a joke, OP also buys Wonderbread and presents that to MIL first as if she thinks that's French bread. MIL then takes the time to explain to OP what French bread actually is, and OP takes that to mean MIL thinks she's stupid.
I would have done the exact same thing in MIL's shoes, and it's not because I'd think that person were stupid. It's because when you work with so many different types of people, you just can't assume that everyone has the same base of knowledge or frame of reference for everything as you do. Not knowing what "French bread" refers to isn't an obvious joke because it's not stupid to not know.
I've had people mess with me in this way by asking me what they think are really stupid questions, thinking that it's obvious that it's a joke. And then when I actually give them an earnest answer they always go, "I was just joking -- of course I already know xyz." And I always tell them, you can't really mess with me that way and expect me to know that it's a joke. I've had to teach 80-year-olds how to operate nonlinear video editing programs on the computer; to me, there is literally no question you can ask me that I will think is too stupid.
Checked the post again after I woke up and thank goodness most of the commenters seem to be on the same page. Some highlights:
"I don't get why you bait her, and then blame her for taking your bait. T
... keep reading on reddit ➡
A play on words.
My daughter, Chewbecca, not so much.
Pilot on me!!
Researchers from Brown University have built DeepONet, a novel neural network-based model that can efficiently learn both linear and nonlinear operators. This novel model was inspired by earlier studies led by researchers at Fudan University.
A continuous function does not have any abrupt changes in value. More precisely, small changes in continuous function’s output can be assured by restricting to sufficiently small changes in its input. Many studies show that artificial neural networks (ANN) are highly efficient approximators of continuous functions. However, not many studies have yet focused on their ability to approximate nonlinear operators.
Inspired by the papers published by Chen and Chen at Fudan University, which discusses the functional approximation using a single layer of neurons, the researchers decided to explore the possibility of building a neural network that could approximate both linear and nonlinear operators
Do your worst!
Nassim Taleb**
Fooled by Randomness
- Survivorship Bias means you don't hear from the losers on a topic, you only hear from the winners.
- Watch out judging a person by their results because history will only show you the winners. You won't hear the stories of the losers
- Over short terms, you see variance, not returns. Don't monitor your portfolio on a daily basis
- AFTER an event has occurred, it is easy to make a story as to why it happened and why people should have seen it. But it is difficult to see in advance BEFORE it happens
- Events are more random than we think
- Negative pangs cause a 2.5x more emotional response than a positive one
- It is not how likely an event is to happen that matters, it is how much is made or lost when it happens that should be the consideration
- Maximize your profit expectancy, not probability
- I try to benefit from "rare events", events that do not tend to repeat themselves frequently
- I believe that rare events are not fairly valued, and that the rarer the event, the more undervalued it will be in price
- Investors for pure emotional reasons, will be drawn into strategies that experience rare but large variations.
- Pascal's Wager – The optimal strategy for humans is to believe in God because if God does exist the believer will be rewarded and if he doesn't exist, the believer has nothing to lose.
- IE - Inequality of outcomes, don't try to pick up nickels in front of a train
- There is no point in searching for patterns that are available to everyone; once detected, they would be self-canceling
- "One cannot judge a performance in any given field by the results, but by the costs of the alternative (i.e. if history played out in a different way). Such substitutes courses of events are called alternative histories. Cleary the quality of a decision cannot be solely judged based on its outcome.
- Past events will always look less random than they were (hindsight bias)
- Probability almost never presents itself as a mathematical problem or brain teaser
- No one accepts randomness in their success, only in their failure
- Take into account the costs of mistakes
- Bad information is worse than no information at all
- 5 traits of a Market Fool
- Overestimating accuracy of data or overconfidence
- Getting married to positions
- Changing story
- No plans for taking losses or exit strategy
- Denial of luck and randomness
