Mathematical definition of a plateau in a time-series data

Hello, I'm a bioinformatician and I'm struggling with the current issue:

Given a time series y(t) that initially changes and eventually approaches a stable regime, how can I mathematically determine the earliest time t\* at which the rate of change dy/dt becomes negligibly small, using only the observed data and without defining an arbitrary threshold?

This is a collaboration I'm doing. My colleagues defined the plateau as the first time when a 101-point rolling mean of the relative increment (g' t+1 - g' t)/ g't falls below the arbitrarily chosen threshold of 0.0011. G' is the measure of material elastic-solid response btw. So the issues is that they used 2 arbitrary values because experimentally they know that a certain value of g' means that the gel is solid. But this doesn't hold for me. I tried using many statistical methods to define the threshold such as:

- exponential fitting

- change-point regression

- local slope analysis

But they all give me a plateau that is too early or too late

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u/Pilus91 — 1 day ago

Mathematical definition of a plateau in a time-series data

Hello, I'm a bioinformatician and I'm struggling with the current issue:

Given a time series y(t) that initially changes and eventually approaches a stable regime, how can I mathematically determine the earliest time t\* at which the rate of change dy/dt becomes negligibly small, using only the observed data and without defining an arbitrary threshold?

This is a collaboration I'm doing. My colleagues defined the plateau as the first time when a 101-point rolling mean of the relative increment (g' t+1 - g' t)/ g't falls below the arbitrarily chosen threshold of 0.0011. G' is the measure of material elastic-solid response btw. So the issues is that they used 2 arbitrary values because experimentally they know that a certain value of g' means that the gel is solid. But this doesn't hold for me. I tried using many statistical methods to define the threshold such as:

\- exponential fitting

\- change-point regression

\- local slope analysis

But they all give me a plateau that is too early or too late

reddit.com
u/Pilus91 — 1 day ago

Mathematical definition of a plateau in a time-series data

Hello, I'm a bioinformatician and I'm struggling with the current issue:

Given a time series y(t) that initially changes and eventually approaches a stable regime, how can I mathematically determine the earliest time t* at which the rate of change dy/dt becomes negligibly small, using only the observed data and without defining an arbitrary threshold?

This is a collaboration I'm doing. My colleagues defined the plateau as the first time when a 101-point rolling mean of the relative increment (g' t+1 - g' t)/ g't falls below the arbitrarily chosen threshold of 0.0011. G' is the measure of material elastic-solid response btw. So the issues is that they used 2 arbitrary values because experimentally they know that a certain value of g' means that the gel is solid. But this doesn't hold for me. I tried using many statistical methods to define the threshold such as:

- exponential fitting

- change-point regression

- local slope analysis

But they all give me a plateau that is too early or too late

reddit.com
u/Pilus91 — 1 day ago

Podemos conseguir una hipoteca?

​

Yo y my esposa juntos tenemos 62.000 € por año (brutos). El proximo año mi salario subirà hasta 33.000 y en 4 años a 36.000 (esto está garantido). Los dos tenemos contratos indefinidos en el sector público. Guardados tenemos 40.000€, aqui en Barcelona pero no hay mucho a menos de 400.000 y infelizmente no podemos viver fuera de la ciudad (el lugar de trabajo está muy central). Entonces tenemos el 10%, y me han dicho que si tienes menos de 35 años el banco acepta el 10%. Es verdad? He hecho la simulacion online con mi banco (bbva) y dicen que con nuestro salario solo podemos permitirnos una casa de 100.000, lo cual me parece muy raro.

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u/Pilus91 — 23 days ago

Podemos conseguir una hipoteca?

Yo y my esposa juntos tenemos 62.000 € por año (brutos). El proximo año mi salario subirà hasta 33.000 y en 4 años a 36.000 (esto está garantido). Los dos tenemos contratos indefinidos en el sector público. Guardados tenemos 40.000€, aqui en Barcelona pero no hay mucho a menos de 400.000 y infelizmente no podemos viver fuera de la ciudad (el lugar de trabajo está muy central). Entonces tenemos el 10%, y me han dicho que si tienes menos de 35 años el banco acepta el 10%. Es verdad? He hecho la simulacion online con mi banco (bbva) y dicen que con nuestro salario solo podemos permitirnos una casa de 100.000, lo cual me parece muy raro.

reddit.com
u/Pilus91 — 23 days ago

Anyone else in fear of being fired over nothing?

I have a job which for my field and country sincerely is extremely difficult to have better conditions. I will get a promotion + raise next year guaranteed then another in 4, lifetime contract, private office, 33 days off, 2 days working from home, flexible hours, a supervisor that so far is understanding (I told I'm autistic). Still, every time I get a Teams message that has a punctuation or a tone that I don't understand, it makes me panic and anxious. And I think I've done something seriously wrong, so I need to ask my wife to intepret the messages to know what is going on. I often need AI to help me reply because otherwise I would spiral and start being ultra apologetic despite not being guilty of anything. In my previous job my former supervisor took advantage of my weaknesses and was bordeline abusive, we had lots of fights, so I'm always so nervous whenever anything happens

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u/Pilus91 — 23 days ago

How often do you spar?

Just for curiosity.

In my gym I started sparring since my 5th class. Therefore after 6 months of training I already have at least 100 rounds of sparring (of 3/4 minutes each). I typically do 4 to 8 rounds per week. I feel at my best while sparring, while I struggle a lot during technique exercises especially complex combos. Padwork I like it but depends on the partner, sometimes I train with people that have ego and they are condescending, so I lose focus and will of training with them.

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u/Pilus91 — 24 days ago

In my mid thirties and I still have nightmares about monsters and aliens

I'm a married man with a regular life (within the possibilities of this disability) but I still have often nightmares that are about monsters or aliens (they suddenly appear fast in the dream and I then wake up). I don't understand why. I don't watch horror things, but many times I have these and they feel horrible. Every time I wake up from the scare/agitation and find myself "fighting". Once by mistake I even punched my wife while I was dreaming, and another time I went to thr toilet while being half asleep, she came to the toilet too and I thought she was a monster and I panicked and pushed her (luckily not hurt). I'm autistic but I also have OCD and sleep apnea. I'm in therapy since years but I have never remember to talk about this with the therapist. Am I the only one?

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u/Pilus91 — 1 month ago

What do you use to help have energy during summer training

I live in a metropolis an my neighborhood is a working class concrete hell, city is in the Mediterranean so we have 35 degrees and 60% (or more) of humidity most of the days. I normally sweat like hell even in the winter, so these days I'm completely soaking wet despite training shirtless and with fans pointing at us (no aircon, so inside it's 35 degrees). I'm not managing to conclude training, I do less rounds of sparring due to exhaustion, even while drinking water all the time. I was reading that adding salt and sugar would help, do you have any experience and tips for training in these conditions?

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u/Pilus91 — 1 month ago

Can you pay attention during seminars and courses?

And I mean pay attention for real, not pretending as most people do. I absolutely can't and due to my job sometimes I really must attend and it's an insane waste of time. I've never learned anything from the dozens of seminars I've been. They're so painful for me

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u/Pilus91 — 2 months ago
▲ 2 r/pentax

Aperture block failure on KS1

After many years, my KS1 got this issue. I thought it was lens related, as I only have one modern lens and the others are all full manual, but I found out my sigma 17-50 is fine. I bought a full manual wide angle (samyang 16mm) so that issue is solved, but I was wondering whether it's worth considering an upgrade to the KF. It costs 900€ where I live, and apart from this failure my KS1 is fine. What would be the pros of changing body?

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u/Pilus91 — 3 months ago

But I'm in the middle of a longer flare up and I'm so tired. I swim regularly since 2 years, i practice also other sports and I walk. But my job is 100% computer. Albeit i get up every 40-50 minutes I still got an inflammation while sitting at work during a meeting. 2 weeks later I'm better but still hurts while sitting for work. I'm so tired of this. Since my hernias are very small it doesn't pay off to do surgery they said, the risk is higher than the benefit. I'm 15 years with these hernias...so tired. I can't take more painkillers because i took them for a week straight.

What else could I do, suggestions?

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u/Pilus91 — 4 months ago