可以通过修改保存的状态的方式来减小保存的大小，将大对象拆分成多个较小的对象，并在获取数据时重新组装。另外，可以考虑将大量数据缓存到本地或者使用数据库等方式存储，减少在Activity状态保存时的负担。

代码示例：

1. 将大对象拆分成多个较小的对象

@Override
public void onSaveInstanceState(Bundle outState) {
    super.onSaveInstanceState(outState);
    outState.putParcelable("data1", mData1);
    outState.putParcelable("data2", mData2);
    outState.putParcelable("data3", mData3);
}

@Override
public void onRestoreInstanceState(Bundle savedInstanceState) {
    super.onRestoreInstanceState(savedInstanceState);
    mData1 = savedInstanceState.getParcelable("data1");
    mData2 = savedInstanceState.getParcelable("data2");
    mData3 = savedInstanceState.getParcelable("data3");
}

2. 将大量数据缓存到本地或者使用数据库等方式存储

public class MyApplication extends Application {

    @Override
    public void onCreate() {
        super.onCreate();
        CacheManager.init(this); // 初始化缓存管理器
        // ...
    }
}

public class CacheManager {

    private static final String CACHE_DIR = "cache";

    private static DiskLruCache mDiskCache;

    public static void init(Context context) {
        try {
            File cacheDir = getDiskCacheDir(context, CACHE_DIR);
            if (!cacheDir.exists()) {
                cacheDir.mkdirs();
            }
            int appVersion = getAppVersion(context);
            mDiskCache = DiskLruCache.open(cacheDir, appVersion, 1, 50 * 1024 * 1024);
        } catch (IOException e) {
            e.printStackTrace();
        }
    }

    public static void put(String key, String value) {
        try {
            DiskLruCache.Editor editor = mDiskCache.edit(key);
            OutputStream outputStream = editor.newOutputStream(0);
            outputStream.write(value.getBytes());
            outputStream.flush();
            editor.commit();
            mDiskCache.flush();
        } catch (IOException e) {
            e.printStackTrace();
        }
    }

    public static String get(String key) {
        String value = null;
        try {
            DiskLruCache.Snapshot snapshot = mDiskCache.get(key);
            if (snapshot != null) {
                InputStream inputStream = snapshot.getInputStream(0);
                ByteArrayOutputStream byteArrayOutputStream = new ByteArrayOutputStream();
                byte[] buffer = new byte[1024];
                int length;
                while ((length = inputStream.read(buffer)) != -1) {
                    byteArrayOutputStream.write(buffer, 0, length);
                }
                value = byteArrayOutputStream.toString();
            }
        } catch (IOException e) {
            e.printStackTrace();
        }
        return value;
    }

    private static File getDiskCacheDir(Context context, String uniqueName) {
        String cachePath = context.getCacheDir().getPath();
        return new File(cachePath + File.separator + uniqueName);
    }

    private static int getAppVersion(Context context) {
        try {
            PackageInfo info = context.getPackageManager().getPackageInfo(context.getPackageName(), 0);
            return info.versionCode;
        } catch (PackageManager.NameNotFoundException e) {
            e.printStackTrace();
            return 1;
        }
    }
}