Learn Hardcore Turkish: Bu yazılım nöral ağ verilerini analiz ediyor. - This software analyzes neural network data.

Because yazılım is the subject in the nominative case and remains unmarked in Turkish. Verilerini is the definite direct object, so it takes the accusative suffix -i (with vowel harmony e→i).

Why is analiz ediyor at the end of the sentence?

Turkish follows an S-O-V (Subject-Object-Verb) word order, so the main verb (ediyor) comes last.

What tense or aspect does the suffix -iyor in ediyor express?

The suffix -iyor marks the present continuous (progressive) tense, equivalent to English “is doing.” Thus ediyor means “is doing,” so analiz ediyor = “is analyzing.”

Could I say analiz yapıyor instead of analiz ediyor?

Yes. Both analiz etmek (“to conduct an analysis”) and analiz yapmak (“to perform/do an analysis”) are common and interchangeable. Foreign-origin nouns often take either etmek or yapmak to form verbs.

What is the function of the suffix on verilerini?

Adding -i (the accusative suffix) signals that verilerini is a specific, known set of data (“the data”). Without -i, veriler would be indefinite (“data in general”).

When can I omit the accusative suffix and just say veriler?

If you mean “data in general” or an indefinite amount, you drop the suffix:
Bu yazılım nöral ağ veriler analiz ediyor ≈ “This software analyzes neural network data” (indefinite).

Why doesn’t nöral ağ take a possessive suffix like nöral ağın verileri?

Nöral ağ verileri is a noun compound (“neural network data”), where the first noun (nöral ağ) simply describes the second. Adding -ın (→ nöral ağın verileri) changes the nuance to “the data belonging to the neural network.”

What’s the difference between nöral ağ verileri and nöral ağın verileri?

Nöral ağ verileri = data of the “neural network” type (general concept).
Nöral ağın verileri = the data that belong to a particular neural network.

Why does the sentence begin with Bu yazılım? Is bu necessary?

Bu (“this”) specifies a particular software you have in mind. Omitting it yields a general statement:
Yazılım nöral ağ verilerini analiz ediyor = “Software analyzes neural network data.”

What is the difference between yazılım and program?

Yazılım refers to “software” as a whole system (code base, architecture, multiple components), while program usually means a single application or script. A yazılım often contains one or more programs.