Overfitting

Overfitting

Life is noisy. Life is messy. A multitude of signals are integrated by helpless minds, every single second. A constant flow of data, reverberating in 1s and 0s, creating and reflecting our thoughts. Sampled from a skewed universe. Our minds adapt and infer non-existing structure. We adapt; we adjust. We tune all variables life has to offer: too many. The big picture gets obscured, the decision functions too specific. Abstraction is our minds biggest achievement, and humanities major difficulty. While algorithms need more data to overcome the overfitting, I guess we need less.

Similarity / Dissimilarity

Similarity / Dissimilarity

We’ll mix it up this time. Correct: Not I, but We. Because you’re going to get involved in this one. One simple question, many answers. Take your time to think about it before reading on; here comes the question:

Are the following pictures similar?

Let’s start with the basics: They are digital pictures shown on a website, saved in the same digital format. Not known to you, they also have the same number of pixels along the long side. To be exact, 1000 pixels as all pictures here in order to not occupy too much space (and to not get stolen – but who will steal them anyway…). Color information is stored in Adobe RGB color space, however, since all are black and white, the information for red, green, and blue is identical for every pixel anyway.

Not so fast, you will intervene. And you are right in doing so: While the long side is always 1000 pixels, they do not share the same aspect ratio, nor the same orientation. And it won’t be a stretch to claim that between every two pictures no single pixel is identical. So already after these first simple investigations we see a problem emerging: They are similar to a specific degree, identical in some respects, but disparate with respect to other criteria.

Let’s dive deeper: Are the images we see here the actual images, let alone do they inherit or show some of our reality? First of all, they do not show the full data gathered, since the original pictures are much larger, also encode color, and a variety of additional information in their RAW format. And in any case, they are just some arbitrary representation of reality without any real connection to it. One of endless possible portrayals of reality. While this does not directly touch on the original question, it is important to keep this in mind when we search and interpret their similarity.

Lastly, how do the overall pictures appear? Even if the single pixels are different between all images, combined they create patterns that can be alike. The pixels combine to a variety of forms, which, in turn, are received differently by different viewers. Waves, scales, oscillations, geometrical forms. And are they really creating these patterns or does the viewer infer them? Can we infer different patterns from the same picture?

I could go on for a while, but it’s getting too long. Let’s move on to the second question: Now, we also need to quantify the difference between every pair of pictures. On a scale from 0 to 100, how different are these two?

And what about these?

I think you are getting my point. We can create an endless list of metrics and choose what we think is best. We can apply these metrics to these simple images, or we can gather more data, larger pictures, RAW data, and then apply the metrics. We can weight and combine metrics to generate an overall score of similarity, we can try to assess how it performs in comparison to other scores. We can compare pairs of pictures and create a hierarchy of similarity. But it will never be the same when done by different people. And in the end, it’s quite arbitrary. Do we look at pixels, color, form, format, derived patterns, povoked emotions?

Most of the day I am doing such arbitrary comparisons. Not between images, but between DNA strands. Instead of pixels I am looking at sequences of A, C, G, and T. Depending on the chosen metric, a variety of results emerges. There is no correct metric, no correct similarity measure. There is no correct way to describe reality, neither to analyze and exploit it. There is an infinite number and every single one creates another distinct result.

But fortunately, in the end, it somehow seems to work – at least sometimes, when it solves a problem in biology research or medicine; but most of the time I don’t get how.

Completeness

Completeness

No consistent system of axioms whose theorems can be listed by an effective procedure is capable of demonstrating its own consistency.

Gödel’s incompleteness theorem

A 1: Being happy requires time.

A 2: Being happy requires fulfilling work.

A 3: Pursuing fulfilling work for a comfortable life requires time.

A 4: Time is limited.

Theorem: Living a happy life is possible in our given time.

Some topics keep occupying the mind. And for the moment, again, it’s balance; or, as here, phrased as: completeness. Can something be complete? Work? A picture? Life? And what makes it complete? Is it the experiences we make? The amount of satisfaction we achieve? The accomplished perfection? And can we ever tell when it is complete, or can we just decide that it is? Or is it just a feeling of fulfillment that cannot be proven?

I’ve felt completeness once, however, in unfortunate circumstances. Maybe we need to accept, or even embrace, the incompleteness. The imperfection of the picture, the irregularity in life. Maybe this is the distinctive feature, the remarkable quality, that makes our existence worthwhile. That makes the picture special. That motivates us to keep going, to keep on pushing and to go out to find the rare human experiences that enrich daily routines. Incompleteness, as the 10th Dan that cannot be achieved, as the optimal algorithm that cannot be written, as the last theorem that cannot be proven.

Maybe, someday, I will know; and maybe someday you will know. For now, I’ll keep on trying to find the proof.

Photo Post: Programmed Polarization

Photo Post: Programmed Polarization

Nothing really new from my side. Important elections coming up in Germany, but everything is as always: Internet and social media create echo chambers where every camp can confirm the superiority of their own arguments. Algorithms distort and decide. Alternative facts dominate and destroy. Little genuine discourse taking place. Four years ago we were horrified about the results beyond the ocean, this time we might elect a clown ourselves.

I have pictures for at least five upcoming posts in the queue. But they want to be sighted, sorted, selected, and set up first. The following selection is from our first evening at a seven day vacation at the coast – scenic sunsets, rough seas, wonderful memories. A lot more to come from the other six days.

Creativity

Creativity

There is a common thought that the best ideas come in the most unexpected circumstances. While showering, while washing dishes, or while taking a walk. I agree that distraction and activities that leave room for thoughts to roam freely are important; but I also feel that the flip side is just as important and does only seldom get recognition: deliberate creativity.

The walls are empty, stripped from the grimy holds that decorated this section over the past weeks. Boulder problems climbed by hundreds of people are gone. Problems climbed by only a few will be forgotten soon. But the walls are not meant to stay this bleak – new boulders are to be created.

For now, however, the holds are neatly arranged into their boxes; by color and by manufacturer. Large wooden volumes lay on the floor and wait to be placed somewhere on 45 square metres of wall – to change the wall shape and angle. Where to start? Which volume to pick? Which holds go where? What movements to create? How hard should it be? Everything is possible. The number of options are uncountably infinite.

But still, the result cannot be chosen by chance. It needs to be assembled carefully and put together accurately. It needs knowledge, experience, empathy, strengths, and: creativity. The movements shouldn’t feel similar because it will be boring. If the movements are to funky, most people will be turned off as well. Most boulders need to have an element of interest while the body positions still feel familiar. They need to be challenging, but without overloading the customer. All elements of this job require a lot of creativity. So again: Where to start?

Waiting in the shower won’t solve the problem of being creative. And the same applies for taking a walk. The only thing that will solve the task is to dive right into it and start. Routesetting has taught me this important lesson: Creativity doesn’t come to me on its own. It does not always present itself in unrelated tasks. I need to actively seek it out. I have to explore my mind, feel the holds, inspect the wall. I need to place volumes at different angles, arrange the holds on the floor, move my body, move my thoughts. Holds go up, holds go down again. Holds go up, this time slightly better. I try to replicate a neat move I saw. I fail. Instead, I find something new – sometimes worse, sometimes even better. Problems that require specific muscles movements, boulders that require intricate movements.

And if everything goes well, a new set of boulders decorates the wall. For people to try hard, to invest, to train on, to feel accomplishment, to show off, to feel their body, to cheer for others, to fail and fall, to scale and accomplish their goals.

I notice the same in my field of work: mostly, the ideas do not come to me on their own. I need to sit down and actively explore them. I need to draw diagrams and pictures for some hours until a new potential idea emerges. In photography, I do not sit at home and wait for my subject to appear. I go outside, in all conditions, change my viewpoint, change my approach, and only then, if I am lucky, I create something interesting, sometimes even something creative. And lastly, when writing on here: It’s useless for me to wait for the next topic to peak around the next corner; I have to actively engage in thought. And even if it’s not creative, at least it’s about creativity.

Also, the pictures aren’t to creative this time, but I still like them as they remind me of our wonderful vacations we had in Italy. Just look at those cute ducklings!

Disappointment

Disappointment

It settles slowly and weighs heavy. It dampens everything. It’s real, the disappointment. A single lantern in the dark – wiped out. Darkness all around. No more glimmer of hope, no light at the end of the tunnel. A lone tree on a hill – chopped down. Roots ripped out, green leaves decay. The remaining air in the lungs squeezed out; it’s impossible to breathe below the surface, impossible to reach the surface. An unsuccessful escape into the familiar. A short diversion by bright screens. Only to get pulled back into reality; another passed day, missed opportunities to progress. Surrendered without a fight. The cube is solved except the last corner, rotated by external force. The next move unknown, all pieces captured. A drawn out opening that does not deliver. A middle game never reached. The king tipped over, onto the rigid board. Only time is left, to reignite the lantern, to plant a new seedling. To pick up all pieces and organize them, for the next fight ahead.

Thunderstorms

Thunderstorms

There are some things, only mountains can do: provide panoramic views, enable climbing and steep hiking, exhaust the visitors, and: thunderstorms. We witnessed the most intense thunder in quite a while during our time in the dolomites. Bright lightning. Thunderclaps and rolling thunder. Constantly. Elevating and frightening. Marvelous und destructive.

Lately, I have been discussing frequently what makes a good photo. In the end, as most things, it comes down to personal preference. Many rules exist, but many exceptions to any rule exist as well. For me, I have found that the best photos do two things: First, I am flashed when I see them the first time. It strikes me like lightning; I am stunned and in awe. Second, they keep me engaged and hold my interest – like the thunder rolling through the valley, they develop and keep giving as long as I keep looking. New forms, new details, new patterns.

It’s been a year now since I have my camera. I am looking forward to the next year and I am hoping to produce at least a small thunderstorm of pictures; flashing bright and rolling afterwards.

Taking Risk

Taking Risk

Alex Honnold free-soloed El Capitan in Yosemite; people might describe such an action as dangerous or inappropriate, or even call him tired of life. For me, it is about the exact opposite: It’s about using your life, about passion and emotion, about feeling alive.

What’s the point in our journey? Do we live the 9–5 weeks until we are 67 and die of illness afterwards? It’s difficult to know beforehand how to live a life that we don’t regret; after all there is only a single chance (from what I believe). This can be a constraining or liberating thought, a coin with two sides. Either: Be careful! Stay save! Or: Use your resources consciously to find satisfaction – even if it might come with risk. This does not need to be dangerous at all though: A walk in the woods, a calm hour in the evening with your favorite music, or a long conversation with close friends.

However, for me, feeling alive also sometimes brings along risk. But it is a deliberate and calculated risk that entails joy, freedom, or happiness. It also entails an honest confrontation with oneself: How far am I willing to go? How good can I assess my own abilities? What is really important to me? So important that I am willing to take a risk? And from time to time the answer is the distant peak at the horizon or the high boulder I am walking by. The boundary is always moving, sometimes towards the safe side, sometimes towards the more dangerous side. And in case of an unplanned end, it’s probably the car ride or the swim in the sea that finishes the journey anyway.

How do you feel alive?

What do Novels Mean?

What do Novels Mean?

When I was a kid I read a lot (at least, that’s how I remember it). I loved the Famous Five; later I devoured Lord of the Rings, Harry Potter, and many less known fantasy series. But on the journey of growing up I lost the drive to read. I don’t know why or how. Looking back, it was presumably the natural limitation of time that struck and other hobbies that took over. I also never missed it consciously.

But lately, Mädchen Klitzeklein is pushing me to read again. I have the great advantage that she recommends me only those books that she seems fit and, thus, I feel obliged to pick up one of those books and start to turn the first page. As with movies, I specifically appreciate to not know anything about the content besides what the cover tells me. And then, I start to read; it takes a while to get used to a physical book after so many years; but it has its unique charm: no distractions, no home button to press, just the next page to turn. For some books I was hooked from the first page, in other books it took a while until I oriented myself and felt home in their unique world. And what I found should not surprise myself, as I already knew it as a kid: it can be an absolute joy to read – so why did I stop reading in the first place?

In my late teens, computer games replaced the story telling of books for me; and some games do it really, really well. Just to mention at least two, because they are very dear to my heart: There is for example Celeste, the heart-breaking story of Madeline, a girl plagued by depression and panic attacks who has the near-impossible goal of climbing a mountain. The game design is perfect as the player suffers and struggles together with the main character in this hard-core platformer. Very rarely have I been more engaged in reaching the end of a game. And then there is Ori, a visual master piece with a straight-forward but wonderfully told story about an orphaned child who saves the forest. These games have provoked strong emotions within me that felt real and unique as I find it rarely in stories. But with games, as with movies, your own imagination is never as provoked as when reading books. The words cannot stimulate your eyes and ears, and hence, what they create within your head is up to you and can become even stronger.

And here I sit and read, turn the page, and the next, and the next. First, it’s a small dip into another story, another century, another life. But with every page, I immerse myself more and more, get lost in the pages, dive deep into the narrative until the surroundings vanish and I participate, experience it myself to the fullest extent. I witness pleasure and delight, I undergo heartbreak and sadness, I live in another universe at another time, even if it’s only for 30 minutes.

What do novels mean? I have absolutely no idea, I just liked the title. But for me, they gave me a long forgotten glimpse into other worlds, into my own imagination, a reason to slow down, another perspective on life. Thank you for motivating me to take this journey, Mädchen Klitzeklein.

The last two books I read were Migrations by Charlotte McConaghy and Where the Crawdads Sing by Delia Owens. I don’t think they are for everyone, but I can still wholeheartedly recommend them both.

Maze

Maze

The sun sets with golden rays.
Thoughts creep in, are here to graze
the mind. With rising haze,
expands, obscures, distorts, delays.
What was, what is, appraise the days
to come: never ceases to amaze
in a multitude of ways.
And I ponder here and phrase
lose myself, the world ablaze,
deep within my inner maze.