제목보다 내용에서 내 질문을 더 명확하게 설명할 수 있기를 바랍니다. 특정 pgfplots 기술보다 시각화 전략에 관한 것일 수 있습니다. 문제는 2차원 입력의 회귀에 관한 것이지만 1차원 입력부터 시작하겠습니다.
내 실험에서 입력 x를 변경하고 출력 y를 관찰한다고 가정해 보겠습니다. 실험을 세 번 반복합니다. 플롯에는 결과가 표시됩니다(코드는 끝에 나열되어 있음).
이제 내 실험에 두 개의 입력 x와 y와 출력 z가 있다고 가정합니다. 한 실험의 관찰 결과는 다음과 같이 그려질 수 있습니다.
그러나 반복 실험(예: 4~5회)의 경우 이러한 모든 결과가 포함된 3D 플롯은 다소 혼란스럽습니다. 평균 및 편차 도표는 더 좋아 보이지만 확실히 정보가 손실되었습니다. 다음은 실험이 두 번 반복되는 경우(두 세트의 관찰)의 예입니다. 플롯은 다음과 같습니다.
이 사례(다중 xyz)를 더 잘 시각화할 수 있는 전략이 있나요? "더 좋다"는 것은 각각의 개별 실험이 명확하게 제시되고 여러 실험이 함께 제시되어 쉽게 비교할 수 있다는 의미일 것입니다.
참고로 이는 플롯을 생성하는 pgfplots 코드입니다.
다중 xyz 플롯:
\begin{tikzpicture}[scale=0.8]
\begin{axis}
[scale only axis, width=0.35\textwidth,
xlabel=x, ylabel=y, zlabel=z, title=Two dimensional input,]
\addplot3[surf,mesh/rows=5] coordinates {
(0,0,0) (1,0,0) (2,0,0) (3,0,0)
(0,1,0.1) (1,1,0.3) (2,1,0.3) (3,1,0.4)
(0,2,0.15) (1,2,0.5) (2,2,0.5) (3,2,0.5)
(0,3,0.65) (1,3,0.60) (2,3,0.65) (3,3,0.45)
(0,4,0.8) (1,4,0.75) (2,4,0.85) (3,4,0.65)
};
\addplot3[surf,mesh/rows=5] coordinates {
(0,0,0.1) (1,0,0.1) (2,0,0) (3,0,0)
(0,1,0.3) (1,1,0.2) (2,1,0.2) (3,1,0.4)
(0,2,0.15) (1,2,0.6) (2,2,0.5) (3,2,0.5)
(0,3,0.55) (1,3,0.7) (2,3,0.65) (3,3,0.45)
(0,4,0.6) (1,4,0.85) (2,4,0.65) (3,4,0.35)
};
\end{axis}
\end{tikzpicture}
\begin{tikzpicture}[scale=0.8]
\begin{axis}[scale only axis, width=0.3\textwidth,
xlabel=x, ylabel=y, zlabel=z, title=Mean and Deviation,]
\addplot3[surf,mesh/rows=5,
error bars/z dir=both, error bars/z fixed=0.1,] coordinates {
(0,0,0.05) (1,0,0.05) (2,0,0) (3,0,0)
(0,1,0.2) (1,1,0.25) (2,1,0.25) (3,1,0.4)
(0,2,0.15) (1,2,0.55) (2,2,0.5) (3,2,0.5)
(0,3,0.65) (1,3,0.65) (2,3,0.65) (3,3,0.45)
(0,4,0.7) (1,4,0.80) (2,4,0.75) (3,4,0.5)
};
\end{axis}
\end{tikzpicture}
단일 xyz 플롯:
\begin{tikzpicture}[scale=0.8]
\begin{axis}
[scale only axis, width=0.35\textwidth,
xlabel=x, ylabel=y, zlabel=z, title=Two dimensional input,]
\addplot3[surf,mesh/rows=5] coordinates {
(0,0,0) (1,0,0) (2,0,0) (3,0,0)
(0,1,0.1) (1,1,0.3) (2,1,0.3) (3,1,0.4)
(0,2,0.15) (1,2,0.5) (2,2,0.5) (3,2,0.5)
(0,3,0.65) (1,3,0.60) (2,3,0.65) (3,3,0.45)
(0,4,0.8) (1,4,0.75) (2,4,0.85) (3,4,0.65)
};
\end{axis}
\end{tikzpicture}
\hfill
\begin{tikzpicture}[scale=0.8]
\begin{axis}[view={0}{90}, scale only axis, width=0.3\textwidth,
xlabel=x, ylabel=y, zlabel=z, title=Top view of two dimensional input, ]
\addplot3[surf,mesh/rows=5] coordinates {
(0,0,0) (1,0,0) (2,0,0) (3,0,0)
(0,1,0.1) (1,1,0.3) (2,1,0.3) (3,1,0.4)
(0,2,0.15) (1,2,0.5) (2,2,0.5) (3,2,0.5)
(0,3,0.65) (1,3,0.60) (2,3,0.65) (3,3,0.45)
(0,4,0.8) (1,4,0.75) (2,4,0.85) (3,4,0.65)
};
\end{axis}
\end{tikzpicture}
다중 xy 플롯:
\begin{tikzpicture}
\begin{axis}
[scale only axis, width=0.3\textwidth,
xlabel=x, ylabel=y, title=One dimensional input]
\addplot coordinates{(0, 0.6) (0.1, 0.25) (0.2, 0.1) (0.3, 0.06) (0.4, 0.02) (0.5, 0.01)};
\addplot coordinates{(0, 0.7) (0.1, 0.1) (0.2, 0.125) (0.3, 0.08) (0.4, 0.016) (0.5, 0.02)};
\addplot coordinates{(0, 0.5) (0.1, 0.15) (0.2, 0.15) (0.3, 0.10) (0.4, 0.012) (0.5, 0.03)};
\legend{exp1, exp2, exp3}
\end{axis}
\end{tikzpicture}
\hfill
\begin{tikzpicture}
\begin{axis}
[scale only axis, width=0.3\textwidth,
xlabel=x, ylabel=y, title=Mean and Deviation]
\addplot[ error bars/.cd, y dir=both, y explicit, ]
coordinates{(0, 0.6) +- (0, 0.1)
(0.1, 0.1) +- (0, 0.1)
(0.2, 0.125) +- (0, 0.025)
(0.3, 0.08) +- (0, 0.08)
(0.4, 0.016) +- (0, 0.04)
(0.5, 0.02) +- (0, 0.02)};
\end{axis}
\end{tikzpicture}
하지만,
답변1
이 사진을 얻으려면..
...다음 명령을 시도해 보세요.
pdflatex example.tex; asy -twosided *.asy; pdflatex example.tex
...이 예제를 컴파일합니다.
\documentclass[]{article}
\usepackage[]{asymptote}
\begin{document}
Two Dimensional Input
\vspace{3cm}
\begin{asy}
settings.render=4;
import three;
import graph3;
currentlight=White;
currentprojection=orthographic(3,-5,1,center=true);
size(5cm);
size3(5cm,5cm,5cm, IgnoreAspect);
render render=render(compression=Low,merge=true);
triple[][] t1 =
{
{(0,0,0), (1,0,0), (2,0,0), (3,0,0) },
{(0,1,0.1), (1,1,0.3), (2,1,0.3), (3,1,0.4)},
{(0,2,0.15), (1,2,0.5), (2,2,0.5), (3,2,0.5)},
{(0,3,0.65), (1,3,0.60), (2,3,0.65), (3,3,0.45)},
{(0,4,0.8), (1,4,0.75), (2,4,0.85), (3,4,0.65)}
};
triple[][] t2 =
{
{(0,0,0.1), (1,0,0.1), (2,0,0), (3,0,0)},
{(0,1,0.3), (1,1,0.2), (2,1,0.2), (3,1,0.4)},
{(0,2,0.15), (1,2,0.6), (2,2,0.5), (3,2,0.5)},
{(0,3,0.55), (1,3,0.7), (2,3,0.65), (3,3,0.45)},
{(0,4,0.6),(1,4,0.85),(2,4,0.65),(3,4,0.35)}
};
draw(surface(t1), blue+opacity(0.9));
draw(surface(t2), red+opacity(0.6));
xaxis3("$x$",Bounds,InTicks);
yaxis3("$y$",Bounds,InTicks);
zaxis3("$z$",Bounds,InTicks);
\end{asy}
\end{document}
분명히 pdflatex, 점근선 패키지 및 점근선이 시스템에 설치되어 있어야 합니다. 운이 좋으면 최신 버전의 Acrobat Reader를 사용하여 PDF를 열면 PDF에 대화형 3D 개체가 표시됩니다.
오늘날에도 나는 pgfplots로 이 작업을 수행할 수 있더라도(단순히 할 수는 없음) 매우 혼란스럽다는 Jake의 의견에 동의합니다.
답변2
pgfplots(이 아닌 ) 순수하게 사용하는 또 다른 유사한 솔루션은 표면에 옵션을 asymptote추가하는 것입니다 . opacity=0.5다음과 같이:
\addplot3[surf,mesh/rows=5, opacity=0.5] coordinates { ...
아직 완벽하지는 않지만 적어도 이미지는 물리적이며(고스트 표면이 상호 침투함) 불가능한 3D 개체를 생성하여 뇌를 손상시키지 않습니다. 이 트릭은 값이 0.5인 경우에만 작동합니다(즉, 표면이 다른 표면을 더 많이 덮지 않음). 그렇지 않으면 뇌가 이상하다고 생각하는 방식으로 표면이 겹치기 시작합니다.
오류 막대( )를 사용하여 동일한 트릭을 사용하여 opacity다음 효과를 얻을 수도 있습니다.
다음은 마지막 그림의 전체 코드입니다.
\documentclass{article}
\usepackage{pgfplots}
\begin{document}
\begin{tikzpicture}[scale=0.8]
\begin{axis}
[scale only axis, width=0.35\textwidth,
xlabel=x, ylabel=y, zlabel=z, title=Two dimensional input,]
\addplot3[surf,mesh/rows=5,opacity=0.5] coordinates {
(0,0,0) (1,0,0) (2,0,0) (3,0,0)
(0,1,0.1) (1,1,0.3) (2,1,0.3) (3,1,0.4)
(0,2,0.15) (1,2,0.5) (2,2,0.5) (3,2,0.5)
(0,3,0.65) (1,3,0.60) (2,3,0.65) (3,3,0.45)
(0,4,0.8) (1,4,0.75) (2,4,0.85) (3,4,0.65)
};
\addplot3[surf,mesh/rows=5, opacity=0.5] coordinates {
(0,0,0.1) (1,0,0.1) (2,0,0) (3,0,0)
(0,1,0.3) (1,1,0.2) (2,1,0.2) (3,1,0.4)
(0,2,0.15) (1,2,0.6) (2,2,0.5) (3,2,0.5)
(0,3,0.55) (1,3,0.7) (2,3,0.65) (3,3,0.45)
(0,4,0.6) (1,4,0.85) (2,4,0.65) (3,4,0.35)
};
\addplot3[mesh/rows=5,
error bars/z dir=both, error bars/z fixed=0.1, opacity=0.3, draw=none] coordinates {
(0,0,0.05) (1,0,0.05) (2,0,0) (3,0,0)
(0,1,0.2) (1,1,0.25) (2,1,0.25) (3,1,0.4)
(0,2,0.15) (1,2,0.55) (2,2,0.5) (3,2,0.5)
(0,3,0.65) (1,3,0.65) (2,3,0.65) (3,3,0.45)
(0,4,0.7) (1,4,0.80) (2,4,0.75) (3,4,0.5)
};
\end{axis}
\end{tikzpicture}
\end{document}